Condition Vasculitis. Vasculitis. This booklet provides information and answers to your questions about this condition.

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Condition Vasculitis. Vasculitis. This booklet provides information and answers to your questions about this condition."

Transcript

1 Condition This booklet provides information and answers to your questions about this condition.

2 What is vasculitis? means inflammation of the blood vessels. There are several different types of the condition, many with unknown causes, but treatments can be very effective. In this booklet we ll briefly explain the main types of vasculitis, how it s diagnosed and treated, what you can do to help yourself and where to get more information. At the back of this booklet you ll find a brief glossary of medical words we ve underlined these when they re first used in the booklet.

3 Arthritis Research UK What s inside? 2 at a glance 6 What is vasculitis? 8 What are the symptoms of vasculitis? 9 What types of vasculitis are there? Takayasu s arteritis Giant cell arteritis (temporal arteritis) Polyarteritis nodosa (PAN) Kawasaki disease Wegener s granulomatosis Churg Strauss syndrome Microscopic polyangiitis Cryoglobulin-associated vasculitis Henoch Schönlein purpura 13 Who gets vasculitis? 14 What causes vasculitis? 15 What is the outlook? 15 How is vasculitis diagnosed? What tests are there? 17 What treatments are there for vasculitis? Drugs 19 Self-help and daily living Exercise Diet and nutrition Stop smoking Keep warm 22 Research and new developments 23 Glossary 25 Where can I find out more? 28 We re here to help

4 At a glance There are several different types of vasculitis. What is vasculitis? means inflammation of the blood vessels. It can affect any of the body s blood vessels, causing a variety of different symptoms and problems. What are the symptoms? The main symptom of vasculitis is inflammation, and this can be painful. With many forms of the condition the inflammation is internal and you can t see it. Because vasculitis takes different forms, the symptoms vary from person to person. Many people with vasculitis feel unwell with fever, sweats, fatigue and weight loss. Sometimes these can be the first symptoms you feel, so it s important to be seen by your GP. Other symptoms vary according to which part of the body is affected, for example: skin rash of spots that can rupture leaving open sores (ulcers) lungs coughing or breathlessness nerves tingling (pins and needles) or weakness in the arms and legs kidneys problems passing urine or blood in the urine fingers and toes can turn white or blue, tingle or hurt when exposed to cold conditions. Headaches, pain in the jaw and problems with the eyes (such as double vision or blurring) are all possible symptoms of a type of vasculitis called giant cell arteritis (GCA). What types of vasculitis are there? can be primary, where it occurs on its own, or secondary, where it occurs with another condition. There are several types of primary vasculitis, including: Takayasu s arteritis affects the main artery from the heart (usually in younger women). Giant cell arteritis (temporal arteritis) affects the large arteries that supply the head and neck, especially the temporal artery (very rare in people under 50). 2

5 Arthritis Research UK Polyarteritis nodosa inflammation in the medium-sized arteries, such as those supplying the gut and kidneys. Kawasaki disease affects small and medium-sized arteries in young children (aged under 5 years). Wegener s granulomatosis involves inflammation of the skin, lungs, eyes and kidneys and swellings called granulomata. Churg Strauss syndrome asthma developing in adult life, followed by inflammation of the blood vessels and swellings called granulomas; this form of vasculitis usually affects the nerves, causing weakness, pins and needles and numbness. Microscopic polyangiitis causes kidney problems that can lead to kidney failure, and can also involve the lungs, with bleeding that can cause breathlessness. Cryoglobulin-associated vasculitis causes a reduction in blood flow or even a blockage, causing damage to the organs or body tissues. Henoch Schönlein purpura affects the small blood vessels (capillaries) and mostly affects children between 2 10 years; symptoms include a skin rash, arthritis, abdominal pain and/or vomiting or passing blood in the stools, passing blood in urine, fever, headaches and loss of appetite. How is it diagnosed? is diagnosed using blood tests, x-rays or other scans and biopsies (obtaining a tissue sample to look at under a microscope). What tests are there? The following tests may be used to check for types of vasculitis: blood tests to test for inflammation, low blood count, kidney and liver function, and immunological blood tests to test for antineutrophil cytoplasmic antibodies (ANCA) urine tests to test for kidney inflammation 3

6 Only 5 out of every 100,000 people will develop vasculitis in the UK each year. x-rays, computerised tomography (CT) and magnetic resonance imaging (MRI) scans to test for chest or sinus problems echocardiogram and electrocardiogram (ECG) to check your heart is healthy biopsy to check if your temporal arteries, liver, kidneys, muscles or lungs are affected ear, nose and throat (ENT) examination to check if these parts of the body are affected angiogram to see which blood vessels are involved. What treatments are there? Treatments for the various types of vasculitis include: drug treatments, including corticosteroid tablets or injections, immunosuppressive drugs, immunoglobulin injections, antiviral treatments and antibacterial drugs plasma exchange (sometimes called blood washing), which may be needed by a small minority of people with the most severe forms of vasculitis dialysis in cases of severe kidney damage. What else might help? There are some things you can do to help yourself if you have vasculitis, including: stopping smoking balancing regular exercise with rest eating a healthy balanced diet, including enough calcium and vitamin D if you re on steroids keeping warm (especially if you experience Raynaud s phenomenon) understanding the nature of the treatment you re on and the precautions that you need to take, including immunisations against seasonal flu and pneumonia. 4

7

8 What is vasculitis? means inflammation of the blood vessels. It can affect any of the body s blood vessels, causing a variety of symptoms and potential complications. Blood vessels are the tubes that carry blood around your body. There are three types of blood vessel which can be affected by vasculitis (see Figure 1): Figure 1: The three types of blood vessel that can be affected by vasculitis Arteries Veins Capillaries take blood from the heart to various parts of the body such as organs (e.g. kidneys) and body tissues (e.g. skin) take blood back to the heart tiny vessels between the arteries and the veins where oxygen and other materials pass from the blood into the tissues Heart Large artery Kidneys Figure 2 The blood circulatory system Small arteries Small vessels Medium-sized artery The small vessels, which are too small to be seen with your eye, are spread throughout the tissues in your body. 6

9 Arthritis Research UK The organs and tissues in your body need a regular blood supply to work properly. Inflammation causes swelling of the blood vessel walls, reducing or even blocking the flow of blood to the tissues and organs (see Figures 2 and 3). The amount of damage vasculitis causes depends on which part of the body is affected. The larger the affected blood vessels, the more damage there may be. And the more important the affected body tissue, the more serious the damage will be. The walls of affected blood vessels can swell and bulge (this is called an aneurysm) and may even burst, causing bleeding inside your body. Apart from the damage Normal blood flow to the blood vessel itself, this can lead to damage in the tissues or organs that are supplied by the blood vessel. can appear suddenly in someone who has previously been completely well doctors call this primary vasculitis. can occur on its own (primary vasculitis) or alongside other conditions (including rheumatoid arthritis, systemic lupus erythematosus (SLE or lupus) or Sjögren s syndrome) in which case it s known as secondary vasculitis. See Arthritis Research UK booklets Lupus (SLE); Rheumatoid arthritis; Sjögren s syndrome. Figure 3 means inflammation of the blood vessels. Normal artery wall Reduced blood flow The diagram shows a normal artery (top) and one that is inflamed (bottom). Inflamed and thickened artery wall 7

10 The symptoms of vasculitis vary according to which part of the body is affected. What are the symptoms of vasculitis? When any part of your body is inflamed, it swells and is uncomfortable or painful. With many types of vasculitis the swelling is internal and there are no external symptoms visible. takes different forms according to which blood vessels are affected, and so the symptoms vary from person to person. Many people with vasculitis feel unwell and have fever, sweats, fatigue and weight loss. Sometimes these can be the first symptoms experienced, so it s important to be seen by your GP. Other symptoms vary according to which part of the body is affected: Skin in the skin causes a rash of spots that sometimes burst, leaving open sores (ulcers). When vasculitis only affects the skin, the long-term effects aren t usually serious, and the symptoms normally clear up once the inflammation has settled. Nose here causes crusting inside the nose and nosebleeds. The shape of your nose can change. Fingers and toes Some people with vasculitis experience Raynaud s phenomenon, where the fingers or toes turn white or blue and may tingle or hurt when exposed to cold conditions. Eyes Some types of vasculitis can suddenly affect your vision or cause your eye to become red or painful. It s important to see a doctor quickly if this happens. Nerves Inflammation of the nerves can cause tingling (pins and needles) or weakness in the arms and legs. Muscles Inflammation here causes muscle aches, and eventually your muscles could become weak. Lungs Inflammation of the lungs causes coughing and shortness of breath. Brain Occasionally the blood vessels in the brain can be affected, causing problems like strokes. Kidneys When vasculitis affects the kidneys there may be problems passing urine or there may be blood in the urine. of the kidneys can be dangerous because the symptoms may not appear until the kidneys have already been damaged. In severe cases treatment on an artificial kidney (dialysis) machine may be necessary. 8

11 Arthritis Research UK Headaches, pain in the jaw and problems with the eyes are all possible symptoms of a type of vasculitis called giant cell arteritis (GCA). See Arthritis Research UK booklet Raynaud s phenomenon. What types of vasculitis are there? Doctors usually define the types of vasculitis according to the size of the blood vessels involved (see Figure 4). The most serious types of vasculitis involve both medium and small arteries. Figure 4 Types of vasculitis can be defined according to the size of the blood vessels involved in large arteries: includes giant cell arteritis (temporal arteritis) and Takayasu s arteritis. in small arteries: includes Wegener s granulomatosis, microscopic polyangiitis and Churg- Strauss syndrome can also be a result of rheumatic diseases can happen with infections including hepatitis and, very occasionally, with different types of cancers. in medium-sized arteries: includes polyarteritis nodosa and Kawasaki disease medium-sized arteries can also be involved in vasculitis which occurs with rheumatoid arthritis, lupus (SLE) and Sjögren s syndrome. in small vessels (usually capillaries): includes Henoch Schönlein purpura and cryoglobulinassociated vasculitis usually involves the skin and is also sometimes caused by a reaction to certain drugs. 9

12 Takayasu s arteritis This affects the main artery from the heart and its large branches, usually in younger women. It s rare in the UK but is more common in the Far East and Africa. The major arteries narrow and this reduces the blood supply to the limbs and other parts of the body. The narrowing develops slowly and the arteries don t usually block completely, so there isn t usually a dangerous loss of blood supply to the arms or legs or any major organs. Giant cell arteritis (temporal arteritis) This affects the large arteries that supply the head and neck, especially the temporal artery which is found over the temples (see Figure 5). It s more common in northern Europe and doesn t normally affect people below the age of 50. Giant cell arteritis can cause headaches and is often associated with a condition called polymyalgia rheumatica (PMR), which causes inflammation and stiffness in the muscles of the shoulders and hips. Giant cell arteritis occasionally involves the blood supply to the eye, where it can cause blindness. If you develop symptoms in your eyes such as blurring or double vision you should see your doctor straight away as you ll need to be treated urgently. Other blood vessels such as the major arteries can be involved in giant cell arteritis. See Arthritis Research UK booklets Giant cell arteritis; Polymyalgia rheumatica (PMR). Figure 5 Headaches can be caused by giant cell arteritis (temporal arteritis). 10

13 Arthritis Research UK Polyarteritis nodosa (PAN) This condition is potentially very serious but is very rare only about 1 out of every 2 million people in the UK develop PAN each year. It causes inflammation in the medium-sized arteries, particularly those supplying the gut and kidneys. This may only affect part of the wall of the artery, which becomes weak and may bulge, forming an aneurysm. If it bursts it can cause serious internal bleeding. PAN can also involve the whole wall of the artery at a particular point, which causes a blockage. Kawasaki disease Kawasaki disease affects small and medium-sized arteries in children under 5. It s sometimes called mucocutaneous lymph node syndrome (because it involves the mucous membrane). Children with Kawasaki disease will feel unwell they may have a high temperature, swollen glands in the neck (lymphadenopathy), an inflamed area around the eye and the mouth, and a skin rash similar to measles. This condition is quite rare but can be serious if the arteries supplying the heart are inflamed (coronary arteritis). Up to 60% of patients with Kawasaki disease have coronary arteritis. Wegener s granulomatosis This condition is quite rare and is slightly more common in men than in women. It usually develops with ear, nose and throat problems, including nosebleeds and crusting of the nose, and occasionally coughing up blood (haemoptysis). The type of vasculitis is usually defined by the size of the blood vessels involved. These symptoms can appear a year or two before more general vasculitis starts. This general vasculitis usually involves the skin, lungs, eyes and kidneys. The kidney problems can sometimes lead to kidney failure if they re not recognised early. Churg Strauss syndrome This condition causes asthma to develop in adults, followed by inflammation of the blood vessels caused by swellings called granulomas. There will also usually be a high number of eosinophils (a particular type of white cell) in the blood. The condition differs from Wegener s granulomatosis because of the asthma. Unlike Wegener s granulomatosis, Churg Strauss syndrome rarely causes damage to your ears and nose. Churg Strauss syndrome can also affect the nerves, causing weakness, pins and needles or numbness. There s also a higher risk of your heart being involved, which can sometimes cause damage to the heart muscle similar to the damage that occurs during a heart attack. 11

14

15 Arthritis Research UK Microscopic polyangiitis Almost all people with this condition have kidney problems that can lead to raised blood pressure and kidney failure. People may find that they re tired because of anaemia. Blood tests will show that the kidney is inflamed. Microscopic polyangiitis can also involve the lungs, with bleeding that can cause breathlessness. Cryoglobulin-associated vasculitis In this disease, small-vessel vasculitis is associated with cryoglobulins these are proteins in the blood that stick together in the cold. Having cryoglobulins can reduce the flow of blood or even block the blood vessels, causing damage to the organs or body tissues. Henoch Schönlein purpura Henoch Schönlein purpura (HSP) affects the small blood vessels (capillaries). It often follows a chest infection and may be an allergic reaction to a virus, food or drugs. It mostly affects children aged 2 10 years, and boys are affected more often than girls. However, adults can also be affected. The symptoms of HSP include: a skin rash often over the buttocks (starts red but develops into a bruised purple colour and appears over several days or even weeks) short-lived arthritis, especially of the larger joints stomach pain and/or vomiting or passing blood in stools passing blood in urine (indicating kidney problems) fever, headaches and loss of appetite. In most cases the condition doesn t need specific treatment, although relapses are possible for up to a year after the original illness. Kidney problems are quite common, but serious kidney damage is rare. Occasionally other blood vessels are involved, and rarely more serious complications can occur, sometimes affecting the bowels or causing seizures. Who gets vasculitis? is rare. In every 100,000 people in the UK, only 5 will develop vasculitis each year that s about 3,000 people in all. However, about 22 people per 100,000 will develop GCA*. The different types of vasculitis tend to affect different age groups, for example: GCA (temporal arteritis) is much more common in people over 50, and it s fairly common for it to be associated with a condition called polymyalgia rheumatica (PMR) Takayasu s arteritis tends to affect younger women Henoch Schönlein purpura (HSP) is much more common in children than in adults. * Smeeth L, Cook C, Hall AJ. Incidence of diagnosed polymyalgia rheumatica and temporal arteritis in the United Kingdom, Ann Rheum Dis 2006;65:

16 What causes vasculitis? There s no single cause of vasculitis, and in most cases the exact cause is unknown. We know that vasculitis isn t directly inherited, but genetic factors do play a part as several cases can occur in the same family. Genes could make you more likely to develop the condition, in which case it may only take a small trigger (such as an infection or drugs) to start this off. We also know that some types of vasculitis for example, those affecting the small blood vessels can be related to infections, particularly those associated with hepatitis. Some cases of vasculitis follow use of certain drugs, for example propylthiouracil (used to treat thyroid disease) and allopurinol (used to treat gout). It s thought that most forms of vasculitis are a type of autoimmune disease. This means that your body s defence mechanisms aren t doing their normal job of fighting infections, but instead attack a healthy part of the body, causing inflammation. See Arthritis Research UK booklet and drug leaflet Gout; Allopurinol.

17 Arthritis Research UK What is the outlook? The most severe types of vasculitis can be life-threatening. However, most types respond well to treatment, and for many of them you re likely to make a full recovery. The outcome depends on the type vasculitis and how it affects you. Overall, the best way to learn more about what might happen to you in the future is to talk to your doctor or another health professional. How is vasculitis diagnosed? If you think you may be developing vasculitis you must see your doctor as soon as possible. Infections, drugs and some foods can sometimes cause vasculitis, so your doctor will probably ask about the medications you ve been taking and your general health during the past few weeks. What tests are there? There are many tests that may be done to help diagnose the condition. In this section we ll look at the most common, but there are others that you may need. Ask your rheumatologist or GP if you re not sure about what a certain test will involve. Blood tests may be used to measure inflammation, for example: erythrocyte sedimentation rate (ESR) C-reactive protein (CRP). A full blood count can help to establish whether you have anaemia and whether you have normal levels of white blood cells (which fight infections) and platelets (which are involved in clotting). Blood tests for antineutrophil cytoplasmic antibodies (ANCA) are important in the diagnosis of some types of vasculitis, particularly Wegener s granulomatosis. If you have vasculitis along with other conditions, such as rheumatoid arthritis or lupus, then blood tests might be used to assess how active these other diseases are. Blood tests can measure the level of rheumatoid factor in rheumatoid arthritis, or the levels of complement (an enzyme system or group of proteins in the blood) and antibodies in lupus. Blood tests may be repeated from time to time to check how your condition is responding to treatment. Other tests may be carried out to see how the affected body organs are working for example: Urine tests These will show the presence of blood and/or protein, which are often the first signs of an inflamed kidney A urea and electrolytes (U&E) test or a creatinine test may be used to check how your kidneys are working. People with Churg Strauss syndrome, Wegener s granulomatosis or microscopic polyangiitis will have regular urine tests for blood and protein. 15

18 Treatments are given in stages to keep your vasculitis under control. Liver function tests may also be carried out. X-rays, CT and MRI scans can be used to check for chest problems. Echocardiogram and electrocardiogram The heart can be assessed by a special ultrasound test known as an echocardiogram and an electrical test, the electrocardiogram or ECG. A biopsy may be needed to confirm whether the kidneys, the muscles, skin or lungs are affected by vasculitis. A small piece of tissue is removed from the organ in question for examination or testing in a laboratory. An ear, nose and throat (ENT) assessment may be needed for people with Wegener s granulomatosis who have symptoms in these parts of the body. An angiogram is often done where abdominal organs such as the kidney and gut are involved. This involves injecting dye into the arteries so that they show up on an x-ray. They can also done in Takayasu s arteritis and giant cell arteritis to see how much the large blood vessels are involved.

19 Arthritis Research UK What treatments are there for vasculitis? The treatments used for vasculitis will depend upon which blood vessels and organs are affected, as well as how much body tissue is affected. If the vasculitis only affects the skin, it may be enough to treat any underlying infection or to remove the drug that triggered the vasculitis. However, in most cases, drug treatments will be needed to control the disease and its symptoms and to limit the damage caused by vasculitis. Drugs If you have small-vessel vasculitis, then you may only need a small dose of steroids to control it, if treatment is needed at all. You may be given a combination of drugs, probably over several years. For many types of vasculitis, including those affecting the kidney, lungs or other vital organs (especially if it involves both small and medium-sized blood vessels), your treatment will be given in stages (see Figure 6). A few people with the most severe types of vasculitis for example very severe kidney or lung disease may need a special form of treatment called plasma exchange (also known as blood washing). This means you re connected to a machine and blood from your body is passed through the machine and returned back to you, after being cleaned of the factors causing the vasculitis. Figure 6: The stages of treatment for some types of vasculitis Stage 1: Induction of remission Stage 2: Maintenance of remission Stage 3: Follow-up and withdrawing therapy Aim: to get the disease under control. An immunosuppressant agent may be used, e.g. cyclophosphamide, that will suppress the immune system, which is attacking the vessels. Corticosteroids may be used in this stage (tablets or given intravenously). Aim: when your disease is under control (in remission) the aim is to keep it under control. Milder drugs may be used, e.g. azathioprine Aim: to keep your vasculitis under control while gradually decreasing the amount of treatment. 17

20 varies from one person to the next and from one type of vasculitis to another, so it s important to follow your doctor s instructions carefully......and to make sure your treatment isn t interrupted. 18

21 Arthritis Research UK If you have vasculitis that mainly affects medium-sized arteries, then other treatments can help, depending on the condition: Kawasaki disease can be treated effectively with injections of immunoglobulin (a type of protein). Hepatitis-associated polyarteritis nodosa can be treated with antiviral treatment and plasma exchange. If you have vasculitis affecting the large blood vessels, then you ll probably be given corticosteroid tablets. These are very effective for giant cell arteritis and Takayasu s arteritis. In some types of vasculitis (e.g. Wegener s granulomatosis) an infection may trigger a relapse. You may therefore be given antibacterial drugs such as cotrimoxazole to protect against this. These drugs can also help to protect against the side-effects of the stronger immunosuppressive drugs. As with all medications, there may sometimes be side-effects. Cyclophosphamide, for example, can cause bleeding from the bladder, hair thinning and an increased risk of infection. Unfortunately there s also a significant risk of infertility. Because of these risks, cyclophosphamide will be stopped or exchanged for a different immunosuppressive drug as soon as your vasculitis is controlled. This is usually azathioprine, but methotrexate or mycophenolate might be used instead. Rituximab, a drug given by infusion, can also help to encourage remission in some types of vasculitis. See Arthritis Research UK drug leaflets Azathioprine; Cyclophosphamide; Methotrexate; Mycophenolate; Rituximab. Possible side-effects of corticosteroids include weight gain, indigestion, diabetes, thinning of the skin and thinning of the bones (osteoporosis). If high doses of corticosteroids are given, then you ll also be given drugs like bisphosphonates to help prevent osteoporosis. See Arthritis Research UK booklet and drug leaflet Osteoporosis; Steroid tablets. Self-help and daily living If you do need treatment then it s very important that you follow your doctor s instructions carefully. varies from one person to the next and from one type of vasculitis to another. It s important to speak to your doctor or other healthcare professional about any new symptoms you may have. It s also important to make sure the treatment isn t interrupted. 19

22 Gentle exercise can help keep muscles and joints healthy. Exercise can cause tiredness, and it s important to rest when you need to. However, you should also try to keep muscles and joints healthy by exercising. Start gently and gradually increase the amount of exercise you do. Include some weight-bearing exercise (anything that involves walking or running), and swimming is also recommended. Ask your doctor for advice on how much exercise you should expect to be able to do. See the Arthritis Research UK booklet Keep moving. Diet and nutrition You won t usually need to keep to any special diet, unless your vasculitis has been triggered by a particular food. A healthy, balanced diet is important for everyone, but if you re on steroids it s particularly important because these can increase your appetite and cause weight gain. Try not to eat too much, and cut down on fatty and sugary foods. Instead, eat more fresh fruit and vegetables and starchy foods like bread, potatoes, rice and pasta. If you re taking steroids then you re more at risk of osteoporosis, but having plenty of calcium in your diet is important to help prevent this from developing. Foods that are good sources of calcium include tinned sardines (with bones), skimmed milk, yoghurt and certain vegetables such as broccoli. See the Arthritis Research UK booklet Diet and arthritis. Stop smoking Avoid smoking. It makes the blood vessels become narrower inside and can therefore make vasculitis symptoms worse. Keep warm If your fingers or toes turn blue in response to the cold, this may be due to Raynaud s phenomenon. Wearing warm clothes, including warm socks and gloves, should improve blood circulation to your hands and feet by helping to keep the blood vessels open. 20

23 Arthritis Research UK

24 Research and new developments In the past, some types of vasculitis were very serious diseases, especially if it affected both small and medium-sized arteries. Treatment over the last 2 decades has completely changed this and most forms of vasculitis can now be controlled and sometimes completely cured. The new problem to be faced is that some treatments have unpleasant side-effects some are almost as damaging as the disease itself, though in different ways. Researchers are currently trying to better understand what causes vasculitis. Comparing what happens in different countries may help to find the answer for example: Takayasu s arteritis is much more common in the Far East and in Africa than in the UK giant cell arteritis is extremely rare in India but very common in northern Europe Wegener s granulomatosis is more common in northern Europe than in southern Europe microscopic polyangiitis is more common in southern Europe than northern Europe. There s a large international group looking into the genetic side of vasculitis, which aims to find out the causes and also possibly investigate new treatments. Arthritis Research UK funds a range of research into vasculitis, including studies on treatments and on the causes and frequency of vasculitis. Recent examples include clinical trials of higher doses of cyclophosphamide and research into the effects of environmental factors. If differences such as those above can be understood, this will help researchers to develop better treatments. Most forms of vasculitis can now be controlled and sometimes completely cured. 22

25 Arthritis Research UK Glossary Anaemia a shortage of haemoglobin (oxygen-carrying pigment) in the blood which makes it more difficult for the blood to carry oxygen around the body. Anaemia can be caused by some rheumatic diseases such as rheumatoid arthritis or lupus, or by a shortage of iron in the diet. It can also be a side-effect of some drugs used to treat arthritis. Aneurysm a balloon-shaped sac that bulges out of a blood vessel wall. Some diseases or infections can weaken the vessel wall, and the pressure of blood causes the weakened section to balloon outwards. The bigger the aneurysm gets, the greater the risk of it bursting, which can result in internal bleeding and other complications. Antibodies blood proteins that form in response to germs, viruses or any other substances that the body sees as foreign or dangerous. The role of antibodies is to attack these foreign substances and make them harmless. Antineutrophil cytoplasmic antibodies (ANCA) a group of antibodies which attach themselves to molecules in white blood cells rather than to foreign substances. They re commonly found in blood tests for a number of autoimmune disorders such as vasculitis, although they can t definitely confirm the diagnosis. Autoimmune disease a disorder of the body s defence mechanism (immune system), in which antibodies and other components of the immune system attack the body s own tissue rather than germs, viruses and other foreign substances. Bisphosphonates drugs used to prevent the loss of bone mass and treat bone disorders such as osteoporosis and Paget s disease. They work by reducing high levels of calcium in the blood and by slowing down bone metabolism. Complement an enzyme system in the blood. An enzyme is a substance that speeds up a biological reaction. Complement consists of at least 19 separate proteins and plays an important part in the body s immune system. It allows foreign particles or microorganisms to be made harmless, but also generates inflammation. Blood tests can show how much of each of the major elements of complement is present. Computerised tomography (CT) scan a type of scan that records images of sections or slices of the body using x-rays. These images are then transformed by a computer into cross-sectional pictures. Corticosteroids drugs that have a very powerful effect on inflammation. They re often called steroids for short. The adrenal glands in the body produce a natural supply but much larger doses are used to treat autoimmune diseases. Prednisolone is the most commonly used corticosteroid. C-reactive protein (CRP) a protein found in the blood. The level of C-reactive protein in the blood rises in response to inflammation and a blood test for the protein can therefore be used as a measure of inflammation or disease activity. 23

26 Creatinine test a urine or blood test used to monitor the kidneys. Creatinine is a waste product from your muscles that is processed by your kidneys, so by checking the levels of creatinine a doctor can tell how well your kidneys are working. Dialysis a method of separating particles in a liquid by passing them through a membrane. In kidney dialysis the blood is circulated through a special machine that uses this method to remove waste materials or poisons from the blood. Echocardiogram a type of scan that uses ultrasound waves to create detailed pictures of the inside of the heart. This test helps show the structure and movement of the heart. Electrocardiogram (ECG) a test that records the electrical activity of the heart using a machine called an electrocardiograph. The aim of an ECG is to detect unusual heart rhythms and to identify heart problems. Eosinophil a type of white blood cell, which is able to absorb foreign matter. These cells are involved in allergic responses in the body. Erythrocyte sedimentation rate (ESR) a test that shows the level of inflammation in the body and can help in the diagnosis of rheumatoid arthritis. Blood is separated in a machine with a rapidly rotating container (a centrifuge), then left to stand in a test tube. The ESR test measures the speed at which the red blood cells (erythrocytes) settle. Gout an inflammatory arthritis caused by a reaction to the formation of urate crystals in the joint. Gout comes and goes in severe flare-ups at first, but if not treated it can eventually lead to joint damage. It often affects the big toe. Hepatitis inflammation of the liver. This can cause yellowing of the skin (jaundice), fever, abdominal (tummy) pain and an enlarged liver. Immunoglobulins a class of blood proteins that are responsible for immunity to specific infections. Immunosuppressive drugs drugs that suppress the actions of the immune system. They re often used in conditions such as rheumatoid arthritis where the immune system attacks the body s own tissues. Inflammation a normal reaction to injury or infection of living tissues. The flow of blood increases, resulting in heat and redness in the affected tissues, and fluid and cells leak into the tissue, causing swelling. Liver function tests blood tests used to check the healthy functioning of the liver. They re frequently performed to monitor drug treatment. Lupus (systemic lupus erythematosus or SLE) an autoimmune disease in which the immune system attacks the body s own tissues. It can affect the skin, hair and joints and may also affect internal organs. It s often linked to a condition called antiphospholipid syndrome (APS). 24

27 Arthritis Research UK Magnetic resonance imaging (MRI) a type of scan that uses high-frequency radio waves in a strong magnetic field to build up pictures of the inside of the body. It works by detecting water molecules in the body s tissue that give out a characteristic signal in the magnetic field. An MRI scan can show up soft-tissue structures as well as bones. Mucous membrane the type of membrane that lines areas of the body such as the mouth, nasal passages, stomach and gut, vagina, and passages to the lungs. Osteoporosis a condition where bones become less dense and more fragile, which means they break or fracture more easily. Raynaud s phenomenon a circulatory problem that causes the blood supply to certain parts of the body to be greatly reduced. It can make the fingers and toes go temporarily cold and numb and they turn white, then blue, then red. Raynaud s phenomenon can also occur with the condition scleroderma. Rheumatoid arthritis an inflammatory disease affecting the joints, particularly the lining of the joint. It most commonly starts in the smaller joints in a symmetrical pattern that is, for example, in both hands or both wrists at once. Rheumatoid factor a blood protein produced by a reaction in the immune system. About 80% of people with rheumatoid arthritis test positive for this protein. However the presence of rheumatoid factor can t definitely confirm the diagnosis. Sjögren s syndrome an autoimmune disorder that is characterised by dry eyes and/or a dry mouth, aching and fatigue. Urea and electrolytes (U&E) a blood test that mainly monitors the kidneys. This is frequently carried out to monitor drug treatment. Where can I find out more? If you ve found this information useful you might be interested in these other titles from our range: Conditions Giant cell arteritis Gout Lupus (SLE) Polymyalgia rheumatica (PMR) Raynaud s phenomenon Rheumatoid arthritis Sjögren s syndrome Self-help and daily living Diet and arthritis Keep moving Drug leaflets Azathioprine Cyclophosphamide Drugs and arthritis Local steroid injections Methotrexate 25

28 Mycophenolate Rituximab Steroid tablets You can download all of our booklets and leaflets from our website or order them by contacting: Arthritis Research UK PO Box 177 Chesterfield Derbyshire S41 7TQ Phone: Related organisations The following organisations may be able to provide additional advice and information: Arthritis Care 18 Stephenson Way London NW1 2HD Phone: Helpline: Churg Strauss Syndrome Association (USA) PO Box 671 Southampton, Ma USA PMR-GCA UK Centre for Disability Studies Rocheway, Rochford Essex SS4 1DQ Phone: National Kidney Federation The Point, Coach Road Shireoaks, Worksop Notts S81 8BW Phone: Stuart Strange Trust West Bank House Winster, Matlock Derbyshire DE4 2DQ Phone: Foundation PO Box Kansas City MO USA 26

29 Arthritis Research UK Notes 27

30 Arthritis Research UK Copeman House, St Mary s Court, St Mary s Gate, Chesterfield, Derbyshire S41 7TD Tel calls charged at standard rate Registered Charity No Arthritis Research UK 2011 Published April /VASC/11-1

31 ΙΩΑΝΝΗΣ Γ. ΡΟΥΤΣΙΑΣ ΜΙΚΡΟΒΙΟΛΟΓΙΚΟ ΔΙΑΓΝΩΣΤΙΚΟ & ΕΡΕΥΝΗΤΙΚΟ ΕΡΓΑΣΤΗΡΙΟ ΜΙΚΡΟΒΙΟΛΟΓΙΚΟ ΔΙΑΓΝΩΣΤΙΚΟ ΙΑΤΡΕΙΟ

32 Το εργαστήριο µας αποτελεί ένα διαγνωστικό εργαστήριο αναφοράς, για την πραγµατοποίηση µικροβιολογικών, βιοχηµικών, αιµατολογικών, ανοσολογικών και ορµονολογικών εξετάσεων. Στο εργαστήριο µας επίσης εκτελού νται και πιο εξειδικευµένες εξετάσεις όπως µοριακός έλεγχος µε PCR (πχ( για την µέτρηση ιικού φορτίου, έλεγχο θροµβοφιλίας κλπ), ανοσολογικός έλεγχος δυσανεξίας σε διατροφικούς παράγοντες και µέτρηση Τ Τ λεµφοκυτταρικής ανοσολογικής απάντησης. Τέλος, εκτελούνται ερευνητικά πρωτόκολλα που περιλαµβάνουν ανά λυση βιολογικών δειγµάτων, στατιστική επεξεργασία α ποτελεσµάτων και ανάπτυξη ʺin ʺ houseʺ διαγνωστικών µεθόδων, όπως ELISA µε ʺcustom ʺ peptidesʺ κλπ Επιστηµονικός υπεύθυνος του εργαστηρίου είναι ο Δρ Ιωάννης Ρούτσιας. Είναι Χηµικός και Ιατρός Βιοπαθολό γος Μικροβιολόγος µε διδακτορικό δίπλωµα στην Ανο σολογία. Το ερευνητικό του έργο είναι σηµαντικό (συνολικό Impact Factor διεθνών δηµοσιεύσεων = 242) και διεθνώς αναγνωρισµένο (H index( = 18), έτυχε δε δέκατρι ων ελληνικών και διεθνών βραβείων και διακρίσεων. Αριστούχος υπότρο φος Χηµικός, εισήχθη και φοίτησε εν συνεχεία στην Ιατρική Σχολή του Πανεπιστηµίου Ιωαννίνων ( ) 1997) όπου και εκπόνησε και την διδακτορική του διατρι βή µε υποτροφία (ΕΜΥ). Έλαβε την ειδικότητα Μικροβιολογίας στην Αθήνα (Νοσ Παίδων Π&Α Κυριακού) και υπήρξε Λέκτορας ʺΙατρικής Ανοσοχηµείαςʺ στο Χ.Π.Α. ( ), 2004), ενώ από το 2004 έως το 2011 είναι Λέκτορας Ανοσολογίας/Μικροβιολογίας στην Ιατρι κή σχολή του Πανεπιστηµίου Αθηνών. Είναι συντάκτης κριτής σε 12 διεθνή περιοδικά, έχει δηµοσιεύσει 50 άρθρα σε διεθνή περιοδικά (µεσος IF/αρθρο=4.8) µε > 900 βιβλιο γραφικές αναφορές (cita ons).( Έχει επιβλέψει 12 διατριβές, έχει διδάξει 10 διαφορετικά αντικείµενα (µαθήµατα) σε 6 τµήµατα (Ιατρική, Οδοντιατρική, Φαρµακευτική, τµήµα Διαιτολογίας, Χηµικό, ΠΣΕ Βιοχηµείας) και έχει 146 ανα κοινώσεις σε συνέδρια (Ελληνικά: 53, Διεθνή: 93). Τέλος έχει γράψει κεφάλαια σε 6 διεθνή και 7 ελληνικά βιβλία και είναι µέλος σε 6 επιστηµονικές εταιρίες και συλλό γους. ΠΑΡΑΛΑΒΗ ΑΠΟΤΕΛΕΣΜΑΤΩΝ Αποτελέσµατα εξετάσεων: Οι ιατροί έχουν την δυνατό τητα να βλέπουν τα αποτελέσµατα των δικών τους ασθενών, ανά πάσα στιγµή, από την ιστοσελίδα του ιατρείου.

33 Μικροβιολογικό Διαγνωστικό Ιατρείο Υπεύθυνος: Ιωάννης Γ. Ρούτσιας, Λέκτορας Ιατρικής Σχολής Εθνικού και Καποδιστριακού Πανεπιστηµίου Αθηνών Διεύθυνση: Δ. Σούτσου 48 & Αλεξάνδρας Αµπελόκηποι, Αθήνα έναντι του σταθµού Μετρό (στάση Αµπελόκηποι) Τηλ: Fax: E mail: jroutsias@med.uoa.gr Web: lab.gr

Code Breaker. TEACHER s NOTES

Code Breaker. TEACHER s NOTES TEACHER s NOTES Time: 50 minutes Learning Outcomes: To relate the genetic code to the assembly of proteins To summarize factors that lead to different types of mutations To distinguish among positive,

Διαβάστε περισσότερα

Διαβητική αμφιβληστροειδοπάθεια

Διαβητική αμφιβληστροειδοπάθεια Διαβητική αμφιβληστροειδοπάθεια Diabetic retinopathy Η εικόνα αυτή δείχνει ένα παράδειγμα του πώς μπορεί η διαβητική αμφιβληστροειδοπάθεια να επηρεάσει την όραση. Τι είναι η διαβητική αμφιβληστροειδοπάθεια;

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΨΥΧΟΛΟΓΙΚΕΣ ΕΠΙΠΤΩΣΕΙΣ ΣΕ ΓΥΝΑΙΚΕΣ ΜΕΤΑ ΑΠΟ ΜΑΣΤΕΚΤΟΜΗ ΓΕΩΡΓΙΑ ΤΡΙΣΟΚΚΑ Λευκωσία 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ

Διαβάστε περισσότερα

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:

HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch: HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying

Διαβάστε περισσότερα

the total number of electrons passing through the lamp.

the total number of electrons passing through the lamp. 1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour, calculate (i) the energy

Διαβάστε περισσότερα

2 Composition. Invertible Mappings

2 Composition. Invertible Mappings Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,

Διαβάστε περισσότερα

Writing for A class. Describe yourself Topic 1: Write your name, your nationality, your hobby, your pet. Write where you live.

Writing for A class. Describe yourself Topic 1: Write your name, your nationality, your hobby, your pet. Write where you live. Topic 1: Describe yourself Write your name, your nationality, your hobby, your pet. Write where you live. Χρησιμοποίησε το and. WRITE your paragraph in 40-60 words... 1 Topic 2: Describe your room Χρησιμοποίησε

Διαβάστε περισσότερα

Condition Polymyalgia rheumatica. Polymyalgia rheumatica (PMR) This booklet provides information and answers to your questions about this condition.

Condition Polymyalgia rheumatica. Polymyalgia rheumatica (PMR) This booklet provides information and answers to your questions about this condition. Condition Polymyalgia rheumatica Polymyalgia rheumatica (PMR) This booklet provides information and answers to your questions about this condition. What is polymyalgia rheumatica? Polymyalgia rheumatica

Διαβάστε περισσότερα

Πώς μπορεί κανείς να έχει έναν διερμηνέα κατά την επίσκεψή του στον Οικογενειακό του Γιατρό στο Ίσλινγκτον Getting an interpreter when you visit your

Πώς μπορεί κανείς να έχει έναν διερμηνέα κατά την επίσκεψή του στον Οικογενειακό του Γιατρό στο Ίσλινγκτον Getting an interpreter when you visit your Πώς μπορεί κανείς να έχει έναν διερμηνέα κατά την επίσκεψή του στον Οικογενειακό του Γιατρό στο Ίσλινγκτον Getting an interpreter when you visit your GP practice in Islington Σε όλα τα Ιατρεία Οικογενειακού

Διαβάστε περισσότερα

The Simply Typed Lambda Calculus

The Simply Typed Lambda Calculus Type Inference Instead of writing type annotations, can we use an algorithm to infer what the type annotations should be? That depends on the type system. For simple type systems the answer is yes, and

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3)

(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3) Q1. (a) A fluorescent tube is filled with mercury vapour at low pressure. In order to emit electromagnetic radiation the mercury atoms must first be excited. (i) What is meant by an excited atom? (1) (ii)

Διαβάστε περισσότερα

Condition Behçet s syndrome. Behçet s syndrome. This booklet provides information and answers to your questions about this condition.

Condition Behçet s syndrome. Behçet s syndrome. This booklet provides information and answers to your questions about this condition. Condition Behçet s syndrome This booklet provides information and answers to your questions about this condition. What is? is very rare in the UK only about 2,000 people have it. In this booklet we ll

Διαβάστε περισσότερα

[1] P Q. Fig. 3.1

[1] P Q. Fig. 3.1 1 (a) Define resistance....... [1] (b) The smallest conductor within a computer processing chip can be represented as a rectangular block that is one atom high, four atoms wide and twenty atoms long. One

Διαβάστε περισσότερα

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ Ενότητα 1β: Principles of PS Ιφιγένεια Μαχίλη Τμήμα Οικονομικών Επιστημών Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 19/5/2007 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Αν κάπου κάνετε κάποιες υποθέσεις να αναφερθούν στη σχετική ερώτηση. Όλα τα αρχεία που αναφέρονται στα προβλήματα βρίσκονται στον ίδιο φάκελο με το εκτελέσιμο

Διαβάστε περισσότερα

Number All 397 Women 323 (81%) Men 74 (19%) Age(years) 39,1 (17-74) 38,9 (17-74) 40,5 (18-61) Maximum known weight(kg) 145,4 (92,0-292,0) 138,9 (92,0-202,0) 174,1 (126,0-292,0) Body mass index (kg/m 2

Διαβάστε περισσότερα

Instruction Execution Times

Instruction Execution Times 1 C Execution Times InThisAppendix... Introduction DL330 Execution Times DL330P Execution Times DL340 Execution Times C-2 Execution Times Introduction Data Registers This appendix contains several tables

Διαβάστε περισσότερα

Πτυχιακή Εργασία Η ΠΟΙΟΤΗΤΑ ΖΩΗΣ ΤΩΝ ΑΣΘΕΝΩΝ ΜΕ ΣΤΗΘΑΓΧΗ

Πτυχιακή Εργασία Η ΠΟΙΟΤΗΤΑ ΖΩΗΣ ΤΩΝ ΑΣΘΕΝΩΝ ΜΕ ΣΤΗΘΑΓΧΗ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία Η ΠΟΙΟΤΗΤΑ ΖΩΗΣ ΤΩΝ ΑΣΘΕΝΩΝ ΜΕ ΣΤΗΘΑΓΧΗ Νικόλας Χριστοδούλου Λευκωσία, 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ

Διαβάστε περισσότερα

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11

Potential Dividers. 46 minutes. 46 marks. Page 1 of 11 Potential Dividers 46 minutes 46 marks Page 1 of 11 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

Ακαδημαϊκός Λόγος Εισαγωγή

Ακαδημαϊκός Λόγος Εισαγωγή - In this essay/paper/thesis I shall examine/investigate/evaluate/analyze Γενική εισαγωγή για μια εργασία/διατριβή Σε αυτήν την εργασία/διατριβή θα αναλύσω/εξετάσω/διερευνήσω/αξιολογήσω... To answer this

Διαβάστε περισσότερα

60 61 62 63 64 65 Ο Δ Η Γ Ι Ε Σ Σ Υ Ν Τ Η Ρ Η Σ Η Σ Τ Ω Ν Κ Ο Υ Φ Ω Μ Α Τ Ω Ν Ι Ν S T R U C T I N O N S C O N C E R N I N G Τ Η Ε C A S E M E N T S M A I N T E N A N C E Ο τακτικός καθαρισμός των βαμμένων

Διαβάστε περισσότερα

5.4 The Poisson Distribution.

5.4 The Poisson Distribution. The worst thing you can do about a situation is nothing. Sr. O Shea Jackson 5.4 The Poisson Distribution. Description of the Poisson Distribution Discrete probability distribution. The random variable

Διαβάστε περισσότερα

Ακαδημαϊκός Λόγος Εισαγωγή

Ακαδημαϊκός Λόγος Εισαγωγή - Σε αυτήν την εργασία/διατριβή θα αναλύσω/εξετάσω/διερευνήσω/αξιολογήσω... Γενική εισαγωγή για μια εργασία/διατριβή In this essay/paper/thesis I shall examine/investigate/evaluate/analyze Για να απαντήσουμε

Διαβάστε περισσότερα

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE

«ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE «ΨΥΧΙΚΗ ΥΓΕΙΑ ΚΑΙ ΣΕΞΟΥΑΛΙΚΗ» ΠΑΝΕΥΡΩΠΑΪΚΗ ΕΡΕΥΝΑ ΤΗΣ GAMIAN- EUROPE We would like to invite you to participate in GAMIAN- Europe research project. You should only participate if you want to and choosing

Διαβάστε περισσότερα

Other Test Constructions: Likelihood Ratio & Bayes Tests

Other Test Constructions: Likelihood Ratio & Bayes Tests Other Test Constructions: Likelihood Ratio & Bayes Tests Side-Note: So far we have seen a few approaches for creating tests such as Neyman-Pearson Lemma ( most powerful tests of H 0 : θ = θ 0 vs H 1 :

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΠΑΡΑΓΟΝΤΕΣ ΠΟΥ ΕΠΗΡΕΑΖΟΥΝ ΤΗ ΖΩΗ ΤΟΥ ΠΑΙΔΙΟΥ ΚΑΙ ΕΦΗΒΟΥ ΜΕ ΔΙΑΒΗΤΗ ΤΥΠΟΥ 1 ΠΟΥ ΧΡΗΣΙΜΟΠΟΙΟΥΝ ΑΝΤΛΙΕΣ ΣΥΝΕΧΟΥΣ ΕΚΧΥΣΗΣ ΙΝΣΟΥΛΙΝΗΣ

Διαβάστε περισσότερα

department listing department name αχχουντσ ϕανε βαλικτ δδσϕηασδδη σδηφγ ασκϕηλκ τεχηνιχαλ αλαν ϕουν διξ τεχηνιχαλ ϕοην µαριανι

department listing department name αχχουντσ ϕανε βαλικτ δδσϕηασδδη σδηφγ ασκϕηλκ τεχηνιχαλ αλαν ϕουν διξ τεχηνιχαλ ϕοην µαριανι She selects the option. Jenny starts with the al listing. This has employees listed within She drills down through the employee. The inferred ER sttricture relates this to the redcords in the databasee

Διαβάστε περισσότερα

Right Rear Door. Let's now finish the door hinge saga with the right rear door

Right Rear Door. Let's now finish the door hinge saga with the right rear door Right Rear Door Let's now finish the door hinge saga with the right rear door You may have been already guessed my steps, so there is not much to describe in detail. Old upper one file:///c /Documents

Διαβάστε περισσότερα

Section 9.2 Polar Equations and Graphs

Section 9.2 Polar Equations and Graphs 180 Section 9. Polar Equations and Graphs In this section, we will be graphing polar equations on a polar grid. In the first few examples, we will write the polar equation in rectangular form to help identify

Διαβάστε περισσότερα

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ

ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ ΑΓΓΛΙΚΗ ΓΛΩΣΣΑ ΣΕ ΕΙΔΙΚΑ ΘΕΜΑΤΑ ΔΙΕΘΝΩΝ ΣΧΕΣΕΩΝ & ΟΙΚΟΝΟΜΙΑΣ Ενότητα 3β: Types of Speeches & Strong Language Ιφιγένεια Μαχίλη Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative

Διαβάστε περισσότερα

Giant cell arteritis (temporal arteritis)

Giant cell arteritis (temporal arteritis) Condition (temporal arteritis) This booklet provides information and answers to your questions about this condition. What is giant cell arteritis? (GCA) or temporal arteritis is an inflammatory condition

Διαβάστε περισσότερα

LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV. 10 December 2013

LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV. 10 December 2013 LESSON 6 (ΜΑΘΗΜΑ ΕΞΙ) REF : 201/045/26-ADV 10 December 2013 I get up/i stand up I wash myself I shave myself I comb myself I dress myself Once (one time) Twice (two times) Three times Salary/wage/pay Alone/only

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 6/5/2006 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα είναι μικρότεροι το 1000 εκτός αν ορίζεται διαφορετικά στη διατύπωση του προβλήματος. Διάρκεια: 3,5 ώρες Καλή

Διαβάστε περισσότερα

MSM Men who have Sex with Men HIV -

MSM Men who have Sex with Men HIV - ,**, The Japanese Society for AIDS Research The Journal of AIDS Research HIV,0 + + + + +,,, +, : HIV : +322,*** HIV,0,, :., n,0,,. + 2 2, CD. +3-ml n,, AIDS 3 ARC 3 +* 1. A, MSM Men who have Sex with Men

Διαβάστε περισσότερα

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016

Section 1: Listening and responding. Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Presenter: Niki Farfara MGTAV VCE Seminar 7 August 2016 Section 1: Listening and responding Section 1: Listening and Responding/ Aκουστική εξέταση Στο πρώτο μέρος της

Διαβάστε περισσότερα

Homework 3 Solutions

Homework 3 Solutions Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For

Διαβάστε περισσότερα

derivation of the Laplacian from rectangular to spherical coordinates

derivation of the Laplacian from rectangular to spherical coordinates derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used

Διαβάστε περισσότερα

Main source: "Discrete-time systems and computer control" by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1

Main source: Discrete-time systems and computer control by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1 Main source: "Discrete-time systems and computer control" by Α. ΣΚΟΔΡΑΣ ΨΗΦΙΑΚΟΣ ΕΛΕΓΧΟΣ ΔΙΑΛΕΞΗ 4 ΔΙΑΦΑΝΕΙΑ 1 A Brief History of Sampling Research 1915 - Edmund Taylor Whittaker (1873-1956) devised a

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΕΠΗΡΕΑΖΕΙ ΤΗΝ ΠΡΟΛΗΨΗ ΚΑΡΚΙΝΟΥ ΤΟΥ ΜΑΣΤΟΥ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΕΠΗΡΕΑΖΕΙ ΤΗΝ ΠΡΟΛΗΨΗ ΚΑΡΚΙΝΟΥ ΤΟΥ ΜΑΣΤΟΥ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΠΩΣ Η ΚΑΤΑΝΑΛΩΣΗ ΦΡΟΥΤΩΝ ΚΑΙ ΛΑΧΑΝΙΚΩΝ ΕΠΗΡΕΑΖΕΙ ΤΗΝ ΠΡΟΛΗΨΗ ΚΑΡΚΙΝΟΥ ΤΟΥ ΜΑΣΤΟΥ Όνομα φοιτήτριας ΚΑΛΑΠΟΔΑ ΜΑΡΚΕΛΛΑ

Διαβάστε περισσότερα

Advanced Subsidiary Unit 1: Understanding and Written Response

Advanced Subsidiary Unit 1: Understanding and Written Response Write your name here Surname Other names Edexcel GE entre Number andidate Number Greek dvanced Subsidiary Unit 1: Understanding and Written Response Thursday 16 May 2013 Morning Time: 2 hours 45 minutes

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή Εργασία

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή Εργασία ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία ΣΤΑΣΕΙΣ ΚΑΙ ΣΥΜΠΕΡΙΦΟΡΕΣ ΝΟΣΗΛΕΥΤΩΝ ΚΑΙ ΦΟΙΤΗΤΩΝ ΝΟΣΗΛΕΥΤΙΚΗΣ ΣΕ ΣΧΕΣΗ ΜΕ ΤΟ ΣΤΙΓΜΑΤΙΣΜΟ ΑΣΘΕΝΩΝ ΜΕ HIV Μιλτιάδους Γιώργος Λεμεσός

Διαβάστε περισσότερα

Capacitors - Capacitance, Charge and Potential Difference

Capacitors - Capacitance, Charge and Potential Difference Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal

Διαβάστε περισσότερα

C.S. 430 Assignment 6, Sample Solutions

C.S. 430 Assignment 6, Sample Solutions C.S. 430 Assignment 6, Sample Solutions Paul Liu November 15, 2007 Note that these are sample solutions only; in many cases there were many acceptable answers. 1 Reynolds Problem 10.1 1.1 Normal-order

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή εργασία Η ΚΑΤΑΘΛΙΨΗ ΣΕ ΕΦΗΒΟΥΣ ΜΕ ΣΑΚΧΑΡΩΔΗ ΔΙΑΒΗΤΗ ΤΥΠΟΥ 1

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή εργασία Η ΚΑΤΑΘΛΙΨΗ ΣΕ ΕΦΗΒΟΥΣ ΜΕ ΣΑΚΧΑΡΩΔΗ ΔΙΑΒΗΤΗ ΤΥΠΟΥ 1 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή εργασία Η ΚΑΤΑΘΛΙΨΗ ΣΕ ΕΦΗΒΟΥΣ ΜΕ ΣΑΚΧΑΡΩΔΗ ΔΙΑΒΗΤΗ ΤΥΠΟΥ 1 ΑΝΔΡΕΑΣ ΑΝΔΡΕΟΥ Φ.Τ:2008670839 Λεμεσός 2014 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ

Διαβάστε περισσότερα

Newborn Upfront Payment & Newborn Supplement

Newborn Upfront Payment & Newborn Supplement GREEK Newborn Upfront Payment & Newborn Supplement Female 1: Το μωρό μου θα ρθει σύντομα, θα πρέπει να κανονίσω τα οικονομικά μου. Άκουσα ότι η κυβέρνηση δεν δίνει πλέον το Baby Bonus. Ξέρεις τίποτα γι

Διαβάστε περισσότερα

Drugs and arthritis. Drug information Drugs and arthritis

Drugs and arthritis. Drug information Drugs and arthritis Drug information Drugs and arthritis Drugs and arthritis This leaflet provides information on drugs and arthritis and will answer any questions you have about the treatment. Arthritis Research UK produce

Διαβάστε περισσότερα

Επιβλέπουσα Καθηγήτρια: ΣΟΦΙΑ ΑΡΑΒΟΥ ΠΑΠΑΔΑΤΟΥ

Επιβλέπουσα Καθηγήτρια: ΣΟΦΙΑ ΑΡΑΒΟΥ ΠΑΠΑΔΑΤΟΥ EΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΕΚΠΑΙΔΕΥΤΙΚΟ ΤΕΧΝΟΛΟΓΙΚΟ ΙΔΡΥΜΑ ΤΕΙ ΙΟΝΙΩΝ ΝΗΣΩΝ ΤΜΗΜΑ ΔΗΜΟΣΙΩΝ ΣΧΕΣΕΩΝ & ΕΠΙΚΟΙΝΩΝΙΑΣ Ταχ. Δ/νση : Λεωφ. Αντ.Τρίτση, Αργοστόλι Κεφαλληνίας Τ.Κ. 28 100 τηλ. : 26710-27311 fax : 26710-27312

Διαβάστε περισσότερα

TMA4115 Matematikk 3

TMA4115 Matematikk 3 TMA4115 Matematikk 3 Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet Trondheim Spring 2010 Lecture 12: Mathematics Marvellous Matrices Andrew Stacey Norges Teknisk-Naturvitenskapelige Universitet

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή διατριβή Η ΚΑΤΑΘΛΙΨΗ ΩΣ ΠΑΡΑΓΟΝΤΑΣ ΚΙΝΔΥΝΟΥ ΓΙΑ ΑΠΟΠΕΙΡΑ ΑΥΤΟΚΤΟΝΙΑΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή διατριβή Η ΚΑΤΑΘΛΙΨΗ ΩΣ ΠΑΡΑΓΟΝΤΑΣ ΚΙΝΔΥΝΟΥ ΓΙΑ ΑΠΟΠΕΙΡΑ ΑΥΤΟΚΤΟΝΙΑΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή διατριβή Η ΚΑΤΑΘΛΙΨΗ ΩΣ ΠΑΡΑΓΟΝΤΑΣ ΚΙΝΔΥΝΟΥ ΓΙΑ ΑΠΟΠΕΙΡΑ ΑΥΤΟΚΤΟΝΙΑΣ Παναγιώτου Νεοφύτα 2008969752 Επιβλέπων καθηγητής Δρ. Νίκος Μίτλεττον,

Διαβάστε περισσότερα

Ειδικό πρόγραμμα ελέγχου για τον ιό του Δυτικού Νείλου και την ελονοσία, ενίσχυση της επιτήρησης στην ελληνική επικράτεια (MIS 365280)

Ειδικό πρόγραμμα ελέγχου για τον ιό του Δυτικού Νείλου και την ελονοσία, ενίσχυση της επιτήρησης στην ελληνική επικράτεια (MIS 365280) «Ειδικό πρόγραμμα ελέγχου για τον ιό του Δυτικού Νείλου και την ελονοσία, ενίσχυση της επιτήρησης στην ελληνική επικράτεια» Παραδοτέο Π1.36 Έκδοση ενημερωτικών φυλλαδίων Υπεύθυνος φορέας: Κέντρο Ελέγχου

Διαβάστε περισσότερα

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes

Paper Reference. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing. Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Centre No. Candidate No. Paper Reference(s) 1776/04 Edexcel GCSE Modern Greek Paper 4 Writing Thursday 21 May 2009 Afternoon Time: 1 hour 15 minutes Materials required for examination Nil Paper Reference

Διαβάστε περισσότερα

Concrete Mathematics Exercises from 30 September 2016

Concrete Mathematics Exercises from 30 September 2016 Concrete Mathematics Exercises from 30 September 2016 Silvio Capobianco Exercise 1.7 Let H(n) = J(n + 1) J(n). Equation (1.8) tells us that H(2n) = 2, and H(2n+1) = J(2n+2) J(2n+1) = (2J(n+1) 1) (2J(n)+1)

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή εργασία ΔΙΕΡΕΥΝΗΣΗ ΤΟΥ ΚΛΙΜΑΤΟΣ ΑΣΦΑΛΕΙΑΣ ΤΩΝ ΑΣΘΕΝΩΝ ΣΤΟ ΝΟΣΟΚΟΜΕΙΟ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ. Πτυχιακή εργασία ΔΙΕΡΕΥΝΗΣΗ ΤΟΥ ΚΛΙΜΑΤΟΣ ΑΣΦΑΛΕΙΑΣ ΤΩΝ ΑΣΘΕΝΩΝ ΣΤΟ ΝΟΣΟΚΟΜΕΙΟ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή εργασία ΔΙΕΡΕΥΝΗΣΗ ΤΟΥ ΚΛΙΜΑΤΟΣ ΑΣΦΑΛΕΙΑΣ ΤΩΝ ΑΣΘΕΝΩΝ ΣΤΟ ΝΟΣΟΚΟΜΕΙΟ ΑΝΔΡΕΑΣ ΛΕΩΝΙΔΟΥ Λεμεσός, 2012 ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ

Διαβάστε περισσότερα

EE512: Error Control Coding

EE512: Error Control Coding EE512: Error Control Coding Solution for Assignment on Finite Fields February 16, 2007 1. (a) Addition and Multiplication tables for GF (5) and GF (7) are shown in Tables 1 and 2. + 0 1 2 3 4 0 0 1 2 3

Διαβάστε περισσότερα

Assalamu `alaikum wr. wb.

Assalamu `alaikum wr. wb. LUMP SUM Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. Assalamu `alaikum wr. wb. LUMP SUM Wassalamu alaikum wr. wb. LUMP SUM Lump sum lump sum lump sum. lump sum fixed price lump sum lump

Διαβάστε περισσότερα

Math 6 SL Probability Distributions Practice Test Mark Scheme

Math 6 SL Probability Distributions Practice Test Mark Scheme Math 6 SL Probability Distributions Practice Test Mark Scheme. (a) Note: Award A for vertical line to right of mean, A for shading to right of their vertical line. AA N (b) evidence of recognizing symmetry

Διαβάστε περισσότερα

Modern Greek Extension

Modern Greek Extension Centre Number 2017 HIGHER SCHOOL CERTIFICATE EXAMINATION Student Number Modern Greek Extension Written Examination General Instructions Reading time 10 minutes Working time 1 hour and 50 minutes Write

Διαβάστε περισσότερα

Physical DB Design. B-Trees Index files can become quite large for large main files Indices on index files are possible.

Physical DB Design. B-Trees Index files can become quite large for large main files Indices on index files are possible. B-Trees Index files can become quite large for large main files Indices on index files are possible 3 rd -level index 2 nd -level index 1 st -level index Main file 1 The 1 st -level index consists of pairs

Διαβάστε περισσότερα

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β

3.4 SUM AND DIFFERENCE FORMULAS. NOTE: cos(α+β) cos α + cos β cos(α-β) cos α -cos β 3.4 SUM AND DIFFERENCE FORMULAS Page Theorem cos(αβ cos α cos β -sin α cos(α-β cos α cos β sin α NOTE: cos(αβ cos α cos β cos(α-β cos α -cos β Proof of cos(α-β cos α cos β sin α Let s use a unit circle

Διαβάστε περισσότερα

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS

CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =

Διαβάστε περισσότερα

Econ 2110: Fall 2008 Suggested Solutions to Problem Set 8 questions or comments to Dan Fetter 1

Econ 2110: Fall 2008 Suggested Solutions to Problem Set 8  questions or comments to Dan Fetter 1 Eon : Fall 8 Suggested Solutions to Problem Set 8 Email questions or omments to Dan Fetter Problem. Let X be a salar with density f(x, θ) (θx + θ) [ x ] with θ. (a) Find the most powerful level α test

Διαβάστε περισσότερα

«ΑΓΡΟΤΟΥΡΙΣΜΟΣ ΚΑΙ ΤΟΠΙΚΗ ΑΝΑΠΤΥΞΗ: Ο ΡΟΛΟΣ ΤΩΝ ΝΕΩΝ ΤΕΧΝΟΛΟΓΙΩΝ ΣΤΗΝ ΠΡΟΩΘΗΣΗ ΤΩΝ ΓΥΝΑΙΚΕΙΩΝ ΣΥΝΕΤΑΙΡΙΣΜΩΝ»

«ΑΓΡΟΤΟΥΡΙΣΜΟΣ ΚΑΙ ΤΟΠΙΚΗ ΑΝΑΠΤΥΞΗ: Ο ΡΟΛΟΣ ΤΩΝ ΝΕΩΝ ΤΕΧΝΟΛΟΓΙΩΝ ΣΤΗΝ ΠΡΟΩΘΗΣΗ ΤΩΝ ΓΥΝΑΙΚΕΙΩΝ ΣΥΝΕΤΑΙΡΙΣΜΩΝ» I ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΣΧΟΛΗ ΝΟΜΙΚΩΝ ΟΙΚΟΝΟΜΙΚΩΝ ΚΑΙ ΠΟΛΙΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ «ΔΙΟΙΚΗΣΗ ΚΑΙ ΟΙΚΟΝΟΜΙΑ» ΚΑΤΕΥΘΥΝΣΗ: ΟΙΚΟΝΟΜΙΚΗ

Διαβάστε περισσότερα

Antiphospholipid syndrome (APS)

Antiphospholipid syndrome (APS) Condition Antiphospholipid syndrome (APS) Antiphospholipid syndrome (APS) This booklet provides information and answers to your questions about this condition. What is antiphospholipid syndrome (APS)?

Διαβάστε περισσότερα

ΑΚΑ ΗΜΙΑ ΕΜΠΟΡΙΚΟΥ ΝΑΥΤΙΚΟΥ ΜΑΚΕ ΟΝΙΑΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΘΕΜΑ : ΧΗΜΙΚΑ ΠΡΟΣΘΕΤΑ ΠΟΥ ΠΡΟΟΡΙΖΟΝΤΑΙ ΓΙΑ ΤΟ ΝΕΡΟ ΤΟΥ ΑΤΜΟΛΕΒΗΤΑ

ΑΚΑ ΗΜΙΑ ΕΜΠΟΡΙΚΟΥ ΝΑΥΤΙΚΟΥ ΜΑΚΕ ΟΝΙΑΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΘΕΜΑ : ΧΗΜΙΚΑ ΠΡΟΣΘΕΤΑ ΠΟΥ ΠΡΟΟΡΙΖΟΝΤΑΙ ΓΙΑ ΤΟ ΝΕΡΟ ΤΟΥ ΑΤΜΟΛΕΒΗΤΑ ΑΚΑ ΗΜΙΑ ΕΜΠΟΡΙΚΟΥ ΝΑΥΤΙΚΟΥ ΜΑΚΕ ΟΝΙΑΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΘΕΜΑ : ΧΗΜΙΚΑ ΠΡΟΣΘΕΤΑ ΠΟΥ ΠΡΟΟΡΙΖΟΝΤΑΙ ΓΙΑ ΤΟ ΝΕΡΟ ΤΟΥ ΑΤΜΟΛΕΒΗΤΑ ΣΠΟΥ ΑΣΤΗΣ : ΑΓΟΡΑΣΤΟΣ ΧΡΥΣΟΒΑΛΑΝΤΗΣ ΕΠΙΒΛΕΠΟΥΣΑ ΚΑΘΗΓΗΤΡΙΑ :

Διαβάστε περισσότερα

Section 7.6 Double and Half Angle Formulas

Section 7.6 Double and Half Angle Formulas 09 Section 7. Double and Half Angle Fmulas To derive the double-angles fmulas, we will use the sum of two angles fmulas that we developed in the last section. We will let α θ and β θ: cos(θ) cos(θ + θ)

Διαβάστε περισσότερα

Συντακτικές λειτουργίες

Συντακτικές λειτουργίες 2 Συντακτικές λειτουργίες (Syntactic functions) A. Πτώσεις και συντακτικές λειτουργίες (Cases and syntactic functions) The subject can be identified by asking ποιος (who) or τι (what) the sentence is about.

Διαβάστε περισσότερα

Μηχανική Μάθηση Hypothesis Testing

Μηχανική Μάθηση Hypothesis Testing ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ Μηχανική Μάθηση Hypothesis Testing Γιώργος Μπορμπουδάκης Τμήμα Επιστήμης Υπολογιστών Procedure 1. Form the null (H 0 ) and alternative (H 1 ) hypothesis 2. Consider

Διαβάστε περισσότερα

Group 2 Methotrexate 7.5 mg/week, increased to 15 mg/week after 4 weeks. Methotrexate 7.5 mg/week, increased to 15 mg/week after 4 weeks

Group 2 Methotrexate 7.5 mg/week, increased to 15 mg/week after 4 weeks. Methotrexate 7.5 mg/week, increased to 15 mg/week after 4 weeks Group 1 Methotrexate 7.5 mg/week, increased to 15 mg/week after 4 weeks Group 2 Methotrexate 7.5 mg/week, increased to 15 mg/week after 4 weeks Sulfasalazine 2000-3000 mg/day Leflunomide 20 mg/day Infliximab

Διαβάστε περισσότερα

Section 8.3 Trigonometric Equations

Section 8.3 Trigonometric Equations 99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.

Διαβάστε περισσότερα

Démographie spatiale/spatial Demography

Démographie spatiale/spatial Demography ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΙΑΣ Démographie spatiale/spatial Demography Session 1: Introduction to spatial demography Basic concepts Michail Agorastakis Department of Planning & Regional Development Άδειες Χρήσης

Διαβάστε περισσότερα

Αναερόβια Φυσική Κατάσταση

Αναερόβια Φυσική Κατάσταση Αναερόβια Φυσική Κατάσταση Γιάννης Κουτεντάκης, BSc, MA. PhD Αναπληρωτής Καθηγητής ΤΕΦΑΑ, Πανεπιστήµιο Θεσσαλίας Περιεχόµενο Μαθήµατος Ορισµός της αναερόβιας φυσικής κατάστασης Σχέσης µε µηχανισµούς παραγωγής

Διαβάστε περισσότερα

Approximation of distance between locations on earth given by latitude and longitude

Approximation of distance between locations on earth given by latitude and longitude Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth

Διαβάστε περισσότερα

LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV. 18 February 2014

LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV. 18 February 2014 LESSON 14 (ΜΑΘΗΜΑ ΔΕΚΑΤΕΣΣΕΡΑ) REF : 202/057/34-ADV 18 February 2014 Slowly/quietly Clear/clearly Clean Quickly/quick/fast Hurry (in a hurry) Driver Attention/caution/notice/care Dance Σιγά Καθαρά Καθαρός/η/ο

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΕΙΡΑΙΑ ΤΜΗΜΑ ΝΑΥΤΙΛΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΣΤΗΝ ΝΑΥΤΙΛΙΑ ΝΟΜΙΚΟ ΚΑΙ ΘΕΣΜΙΚΟ ΦΟΡΟΛΟΓΙΚΟ ΠΛΑΙΣΙΟ ΚΤΗΣΗΣ ΚΑΙ ΕΚΜΕΤΑΛΛΕΥΣΗΣ ΠΛΟΙΟΥ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ που υποβλήθηκε στο

Διαβάστε περισσότερα

PARTIAL NOTES for 6.1 Trigonometric Identities

PARTIAL NOTES for 6.1 Trigonometric Identities PARTIAL NOTES for 6.1 Trigonometric Identities tanθ = sinθ cosθ cotθ = cosθ sinθ BASIC IDENTITIES cscθ = 1 sinθ secθ = 1 cosθ cotθ = 1 tanθ PYTHAGOREAN IDENTITIES sin θ + cos θ =1 tan θ +1= sec θ 1 + cot

Διαβάστε περισσότερα

ΙΑΤΡΟΦΙΚΗ ΦΡΟΝΤΙ Α ΓΙΑ ΤΑΞΙ ΙΩΤΕΣ ΣΥΝΤΟΜΗΣ ΚΑΙ ΜΑΚΡΑΣ ΙΑΡΚΕΙΑΣ

ΙΑΤΡΟΦΙΚΗ ΦΡΟΝΤΙ Α ΓΙΑ ΤΑΞΙ ΙΩΤΕΣ ΣΥΝΤΟΜΗΣ ΚΑΙ ΜΑΚΡΑΣ ΙΑΡΚΕΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΤΜΗΜΑ ΙΑΤΡΟΦΗΣ ΚΑΙ ΙΑΙΤΟΛΟΓΙΑΣ, ΤΕΙ ΚΡΗΤΗΣ ΙΑΤΡΟΦΙΚΗ ΦΡΟΝΤΙ Α ΓΙΑ ΤΑΞΙ ΙΩΤΕΣ ΣΥΝΤΟΜΗΣ ΚΑΙ ΜΑΚΡΑΣ ΙΑΡΚΕΙΑΣ ΕΠΙΜΕΛΕΙΑ: ΑΛΕΞΙΑ ΤΣΕΡΛΙΓΚΑ ΥΠΕΥΘΥΝΟΣ ΚΑΘΗΓΗΤΗΣ: Γ. Α. ΦΡΑΓΚΙΑ ΑΚΗΣ. 2012 σελ.

Διαβάστε περισσότερα

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α. Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:.

ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α.  Διαβάστε τις ειδήσεις και εν συνεχεία σημειώστε. Οπτική γωνία είδησης 1:. ΦΥΛΛΟ ΕΡΓΑΣΙΑΣ Α 2 ειδήσεις από ελληνικές εφημερίδες: 1. Τα Νέα, 13-4-2010, Σε ανθρώπινο λάθος αποδίδουν τη συντριβή του αεροσκάφους, http://www.tanea.gr/default.asp?pid=2&artid=4569526&ct=2 2. Τα Νέα,

Διαβάστε περισσότερα

ΠΕΡΙΛΗΨΗ. Εισαγωγή. Σκοπός

ΠΕΡΙΛΗΨΗ. Εισαγωγή. Σκοπός ΠΕΡΙΛΗΨΗ Εισαγωγή Η παιδική παχυσαρκία έχει φτάσει σε επίπεδα επιδημίας στις μέρες μας. Μαστίζει παιδιά από μικρές ηλικίες μέχρι και σε εφήβους. Συντείνουν αρκετοί παράγοντες που ένα παιδί γίνεται παχύσαρκο

Διαβάστε περισσότερα

Η ΨΥΧΙΑΤΡΙΚΗ - ΨΥΧΟΛΟΓΙΚΗ ΠΡΑΓΜΑΤΟΓΝΩΜΟΣΥΝΗ ΣΤΗΝ ΠΟΙΝΙΚΗ ΔΙΚΗ

Η ΨΥΧΙΑΤΡΙΚΗ - ΨΥΧΟΛΟΓΙΚΗ ΠΡΑΓΜΑΤΟΓΝΩΜΟΣΥΝΗ ΣΤΗΝ ΠΟΙΝΙΚΗ ΔΙΚΗ ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΝΟΜΙΚΗ ΣΧΟΛΗ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΤΟΜΕΑΣ ΙΣΤΟΡΙΑΣ ΦΙΛΟΣΟΦΙΑΣ ΚΑΙ ΚΟΙΝΩΝΙΟΛΟΓΙΑΣ ΤΟΥ ΔΙΚΑΙΟΥ Διπλωματική εργασία στο μάθημα «ΚΟΙΝΩΝΙΟΛΟΓΙΑ ΤΟΥ ΔΙΚΑΙΟΥ»

Διαβάστε περισσότερα

Policy Coherence. JEL Classification : J12, J13, J21 Key words :

Policy Coherence. JEL Classification : J12, J13, J21 Key words : ** 80%1.89 2005 7 35 Policy Coherence JEL Classification : J12, J13, J21 Key words : ** Family Life and Family Policy in France and Germany: Implications for Japan By Tomoko Hayashi and Rieko Tamefuji

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΑΞΙΟΛΟΓΗΣΗ ΣΤΑΣΕΩΝ ΚΑΙ ΕΠΙΠΕΔΟΥ ΓΝΩΣΕΩΝ ΤΩΝ ΝΟΣΗΛΕΥΤΩΝ ΣΕ ΜΟΝΑΔΕΣ ΕΝΤΑΤΙΚΗΣ ΘΕΡΑΠΕΙΑΣ ΣΧΕΤΙΚΑ ΜΕ ΤΗ ΜΕΤΑΜΟΣΧΕΥΣΗ ΟΡΓΑΝΩΝ ΑΠΟ ΕΓΚΕΦΑΛΙΚΑ

Διαβάστε περισσότερα

Business English. Ενότητα # 9: Financial Planning. Ευαγγελία Κουτσογιάννη Τμήμα Διοίκησης Επιχειρήσεων

Business English. Ενότητα # 9: Financial Planning. Ευαγγελία Κουτσογιάννη Τμήμα Διοίκησης Επιχειρήσεων ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα Business English Ενότητα # 9: Financial Planning Ευαγγελία Κουτσογιάννη Τμήμα Διοίκησης Επιχειρήσεων Άδειες Χρήσης Το παρόν εκπαιδευτικό

Διαβάστε περισσότερα

ΚΥΠΡΙΑΚΟΣ ΣΥΝΔΕΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY 21 ος ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ Δεύτερος Γύρος - 30 Μαρτίου 2011

ΚΥΠΡΙΑΚΟΣ ΣΥΝΔΕΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY 21 ος ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ Δεύτερος Γύρος - 30 Μαρτίου 2011 Διάρκεια Διαγωνισμού: 3 ώρες Απαντήστε όλες τις ερωτήσεις Μέγιστο Βάρος (20 Μονάδες) Δίνεται ένα σύνολο από N σφαιρίδια τα οποία δεν έχουν όλα το ίδιο βάρος μεταξύ τους και ένα κουτί που αντέχει μέχρι

Διαβάστε περισσότερα

Living and Nonliving Created by: Maria Okraska

Living and Nonliving Created by: Maria Okraska Living and Nonliving Created by: Maria Okraska http://enchantingclassroom.blogspot.com Living Living things grow, change, and reproduce. They need air, water, food, and a place to live in order to survive.

Διαβάστε περισσότερα

HISTOGRAMS AND PERCENTILES What is the 25 th percentile of a histogram? What is the 50 th percentile for the cigarette histogram?

HISTOGRAMS AND PERCENTILES What is the 25 th percentile of a histogram? What is the 50 th percentile for the cigarette histogram? HISTOGRAMS AND PERCENTILES What is the 25 th percentile of a histogram? The point on the horizontal axis such that of the area under the histogram lies to the left of that point (and to the right) What

Διαβάστε περισσότερα

The challenges of non-stable predicates

The challenges of non-stable predicates The challenges of non-stable predicates Consider a non-stable predicate Φ encoding, say, a safety property. We want to determine whether Φ holds for our program. The challenges of non-stable predicates

Διαβάστε περισσότερα

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ

ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΤΜΗΜΑ ΝΟΣΗΛΕΥΤΙΚΗΣ Πτυχιακή εργασία ΓΝΩΣΕΙΣ ΚΑΙ ΣΤΑΣΕΙΣ ΝΟΣΗΛΕΥΤΩΝ ΠΡΟΣ ΤΟΥΣ ΦΟΡΕΙΣ ΜΕ ΣΥΝΔΡΟΜΟ ΕΠΙΚΤΗΤΗΣ ΑΝΟΣΟΑΝΕΠΑΡΚΕΙΑΣ (AIDS) Αλέξης Δημήτρη Α.Φ.Τ: 20085675385 Λεμεσός

Διαβάστε περισσότερα

ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα. Ξενόγλωσση Τεχνική Ορολογία. Ενότητα: An Introduction to Tribology

ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα. Ξενόγλωσση Τεχνική Ορολογία. Ενότητα: An Introduction to Tribology ΕΛΛΗΝΙΚΗ ΔΗΜΟΚΡΑΤΙΑ Ανώτατο Εκπαιδευτικό Ίδρυμα Πειραιά Τεχνολογικού Τομέα Ξενόγλωσση Τεχνική Ορολογία Ενότητα: An Introduction to Tribology Παναγιώτης Τσατσαρός Τμήμα Μηχανολόγων Μηχανικών ΤΕ Άδειες Χρήσης

Διαβάστε περισσότερα

Finite Field Problems: Solutions

Finite Field Problems: Solutions Finite Field Problems: Solutions 1. Let f = x 2 +1 Z 11 [x] and let F = Z 11 [x]/(f), a field. Let Solution: F =11 2 = 121, so F = 121 1 = 120. The possible orders are the divisors of 120. Solution: The

Διαβάστε περισσότερα

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can.

BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN. Fairly true If I decide to learn something hard, I can. BECAUSE WE REALLY WANT TO KNOW WHAT YOU THINK ABOUT SCHOOL AND YOUR GARDEN Name GRADE Science Teacher A. What do I think about School? bit I try hard to do well in school. I look forward to coming to school.

Διαβάστε περισσότερα

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΣΥΣΤΗΜΑΤΩΝ ΗΛΕΚΤΡΙΚΗΣ ΕΝΕΡΓΕΙΑΣ

ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΣΥΣΤΗΜΑΤΩΝ ΗΛΕΚΤΡΙΚΗΣ ΕΝΕΡΓΕΙΑΣ ΠΑΝΕΠΙΣΤΗΜΙΟ ΠΑΤΡΩΝ ΤΜΗΜΑ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΤΕΧΝΟΛΟΓΙΑΣ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΣΥΣΤΗΜΑΤΩΝ ΗΛΕΚΤΡΙΚΗΣ ΕΝΕΡΓΕΙΑΣ ιπλωµατική Εργασία του φοιτητή του τµήµατος Ηλεκτρολόγων Μηχανικών και Τεχνολογίας Ηλεκτρονικών

Διαβάστε περισσότερα

ΑΓΓΛΙΚΑ ΙΙΙ. Ενότητα 12b: The Little Prince. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής

ΑΓΓΛΙΚΑ ΙΙΙ. Ενότητα 12b: The Little Prince. Ζωή Κανταρίδου Τμήμα Εφαρμοσμένης Πληροφορικής Ενότητα 12b: The Little Prince Τμήμα Εφαρμοσμένης Πληροφορικής Άδειες Χρήσης Το παρόν εκπαιδευτικό υλικό υπόκειται σε άδειες χρήσης Creative Commons. Για εκπαιδευτικό υλικό, όπως εικόνες, που υπόκειται

Διαβάστε περισσότερα

Statistical Inference I Locally most powerful tests

Statistical Inference I Locally most powerful tests Statistical Inference I Locally most powerful tests Shirsendu Mukherjee Department of Statistics, Asutosh College, Kolkata, India. shirsendu st@yahoo.co.in So far we have treated the testing of one-sided

Διαβάστε περισσότερα

b. Use the parametrization from (a) to compute the area of S a as S a ds. Be sure to substitute for ds!

b. Use the parametrization from (a) to compute the area of S a as S a ds. Be sure to substitute for ds! MTH U341 urface Integrals, tokes theorem, the divergence theorem To be turned in Wed., Dec. 1. 1. Let be the sphere of radius a, x 2 + y 2 + z 2 a 2. a. Use spherical coordinates (with ρ a) to parametrize.

Διαβάστε περισσότερα

ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE ΑΠΟ ΑΤΟΜΑ ΜΕ ΤΥΦΛΩΣΗ

ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE ΑΠΟ ΑΤΟΜΑ ΜΕ ΤΥΦΛΩΣΗ ΠΑΝΕΠΙΣΤΗΜΙΟ ΜΑΚΕΔΟΝΙΑΣ ΟΙΚΟΝΟΜΙΚΩΝ ΚΑΙ ΚΟΙΝΩΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΤΜΗΜΑ ΕΚΠΑΙΔΕΥΤΙΚΗΣ ΚΑΙ ΚΟΙΝΩΝΙΚΗΣ ΠΟΛΙΤΙΚΗΣ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΠΑΡΑΜΕΤΡΟΙ ΕΠΗΡΕΑΣΜΟΥ ΤΗΣ ΑΝΑΓΝΩΣΗΣ- ΑΠΟΚΩΔΙΚΟΠΟΙΗΣΗΣ ΤΗΣ BRAILLE

Διαβάστε περισσότερα