I ne mora da mi kaže niko, znam ja da si probisvet. I nema potrebe da lažeš ti koliko i da li voliš me. Ja nisam znala da se tako dobro ljubiš. Ti dođi da mi sudiš tim usnama od rizika. Ne, ja nisam više mala al ponovo bih pala na oči boje viskija. Na oči boje viskija. Na oči boje viskija. A ti si, ti si, ti si kao bog. Pola grada te je imalo, pola grada te sanja. A mili, mili, mili, mili moj. I prevara i nevera, svi jure te kao da si od zlata. Teku otrovi, doktori ne znaju što. Moja bol odbija antidepresive. U noć bi mi lego ko Don Perignon. Večeras loš tvojim imenom se piše. I ne mora da mi kaže niko, znam ja da si probisvet. I nema potrebe da lažeš ti koliko i da li voliš me. Ja nisam znala da se tako dobro ljubiš. Ti dođi da mi sudiš tim usnama od rizika. Ne, ja nisam više mala al ponovo bih pala na oči boje viskija. Na oči boje viskija. Na oči boje viskija. Ti si anđeo što pleše sa đavolom na ramenu. U plamenu strasti, ko Nevada telo gori. Tvoje oči slične dragom kamenju. Mute mi um noćas kao viski i nikotin. Okolo su poroci i ološi. Izvuci me do ponoći ko pištolj ispod jastuka. Moji drugovi su vukovi, a moje srce puklo bi. Bez tebe živim život ko bez vazduha. I ne mora da mi kaže niko, znam ja da si probisvet. I nema potrebe da lažeš ti koliko i da li voliš me. Ja nisam znala da se tako dobro ljubiš. Ti dođi da mi sudiš tim usnama od rizika. Ne, ja nisam više mala al ponovo bih pala na oči boje viskija. I ne, ne, ne treba ti niko da. Kaže ti da pala si na oči boje viskija. I ne, ne, ne, ne treba ti niko da. Kaže ti da pala si na oči boje viskija. Oči boje viskija. Oči boje viskija. Oči boje viskija. Oči boje viskija
I ne mora da mi kaže niko, znam ja da si probisvet. I nema potrebe da lažeš ti koliko i da li voliš me. Ja nisam znala da se tako dobro ljubiš. Ti dođi da mi sudiš tim usnama od rizika. Ne, ja nisam više mala al' ponovo bih pala na oči boje viskija. Na oči boje viskija. Na oči boje viskija. A ti si, ti si, ti si kao bog. Pola grada te je imalo, pola grada te sanja. A mili, mili, mili, mili moj. I prevara i nevera, svi jure te kao da si od zlata. Teku otrovi, doktori ne znaju što. Moja bol odbija antidepresive .U noć bi mi lego ko Don Perignon. Večeras loš tvojim imenom se piše. I ne mora da mi kaže niko, znam ja da si probisvet. I nema potrebe da lažeš ti koliko i da li voliš me. Ja nisam znala da se tako dobro ljubiš. Ti dođi da mi sudiš tim usnama od rizika. Ne, ja nisam više mala al' ponovo bih pala na oči boje viskija. Na oči boje viskija. Na oči boje viskija. Ti si anđeo što pleše sa đavolom na ramenu. U plamenu strasti, ko Nevada telo gori. Tvoje oči slične dragom kamenju. Mute mi um noćas kao viski i nikotin. Okolo su poroci i ološi. Izvuci me do ponoći ko pištolj ispod jastuka. Moji drugovi su vukovi, a moje srce puklo bi. Bez tebe živim život ko bez vazduha. I ne mora da mi kaže niko, znam ja da si probisvet. I nema potrebe da lažeš ti koliko i da li voliš me. Ja nisam znala da se tako dobro ljubiš. Ti dođi da mi sudiš tim usnama od rizika. Ne, ja nisam više mala al' ponovo bih pala na oči boje viskija. I ne, ne, ne treba ti niko da. Kaže ti da pala si na oči boje viskija. I ne, ne, ne, ne treba ti niko da. Kaže ti da pala si na oči boje viskija. Oči boje viskija. Oči boje viskija. Oči boje viskija. Oči boje viskija
Lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat. Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin, Latin. Lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat, lat. Latitude, Latitude, latitude, latitude, latitude, latitude, latitude, latitude, latitude, latitude, latitude. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and. Latin word et, meaning and.
5.1 What is meant by the force of gravitation? The force of gravitation (F) means a force with which everybody in the universe attracts every other body. It is directly proportional to the product of their masses, and inversely proportional to the square distance between their centres G is the universal constant of gravitation with the value of 6.673x 10^-11 Nm2kg-2
5.2 Do you attract the Earth or the Earth attracts you? Which one is attracting with a larger force? You or the Earth. According to the law of gravitation, everybody in the universe attracts every other body. So, in this case, both the Earth and a body attract each other. But since the body’s mass is insignificant compared to the mass of the Earth, the Earth attracts a body with a much greater force than the body attract the Earth. With that force, the body is pulled towards the centre of the Earth.
5.3 What is a field force? Such a force that is present within an area and it affects all the bodies present in that area without ever coming into any contact with them Example : the gravitational force, electric force, and magnetic force
Why earlier scientists could not guess about the gravitational force? Not well equipped Not enough knowledge Is a very weak force, can’t be detected until a body is very heavy
5.4 How can you say that gravitational force is a field force?Gravitational force acts on a body whether the body is in contact with it or not. For example an object thrown upwards it comes down, it will come back by the gravitational force to the centre of the Earth.
5.5 Explain, what is meant by gravitational field strength? Gravitational field strength means the gravitational force per unit mass. It becomes weaker and weaker as the object goes away from the gravitational force. N/kg
5.6 Why law of gravitation is important to us? Law of gravitation is important to us because it explains the way objects in the universe move, including planets and satellites. Weight of body, objects revolve around certain objects, calculated the mass of the earth, bodies are attracted towards the earth
5.7 Explain the law of gravitation.
The law of gravitation says that everybody in the universe attracts every other body with force, which is directly proportional to the product of the two masses and inversely proportional to the square distance between their centres. The formula is F=G m1.m2/ d^2 F represents Gravitational Force, m represents mass (first second), d represents distance bw the centres of the objects, and G is the universal constant of gravitation with the value of 6.673x 10^-11 Nm2kg-2
5.8 How the mass of Earth can be determined?
Mass of the Earth can be determined using Newton’s Law Of Gravitation. According to Newton’s Law Of Gravitation: F1=G Me.m/ d^2 Also there is weight of the body that is acting downwards F2= w= m.g F1 = F2 G Me.m/ d^2 = m.g Me= g d^2/G Since the body lies on the surface of the earth, so the distance between the body and the centre of the earth is equal to the radius of earth (R) So Me= g R^2/G
5.9 Can you determine the mass of our moon? If yes, then what you need to know? Yes, and it’s necessary to know the gravitational acceleration on the moon and the radius of the moon before calculating its mass. According to following equation: M=g R^2 / G M represents Mass of the moon, g represents the gravitational acceleration ON the moon, R represents Radius of the moon, and G is the universal constant of gravitation with the value of 6.673x1 10^-11 Nm2kg-2
5.10 Why does the value of g vary from place to place? According to the following equation: g=M G / R^2 g is inversely proportional to the square of distance between the centre of two bodies. When the distance changes, the value of g changes. That is why the value of g changes from place to place.
5.11Explain how the value of g varies with altitude. According to the following equation: gh= GMe/(R+h)^2 As can be seen from this equation, that gh is inversely proportional to the square of the altitude. If we move at the height of 1R above earth, gh will be 1/4g
5.12What are artificial satellites? There are certain man-made objects sent into the space, some of these objects revolve around planets. These are called artificial satellites. These artificial satellites are used for communication purposes, for carrying passengers, performing experiments in the space etc
5.13How Newton's law of gravitation helps in understanding the motion of satellites? Newton’s law of gravitation helps us to find the gravitational force A satellite requires centripetal force that keeps it to move around the Earth. The gravitational force of attraction between the satellite and the Earth provides the necessary centripetal force. This force is found out using Newton’s Law of Gravitation
5.14 On what factors the orbital speed of a satellite depends?
According to the equation of orbital speed of a satellite: Vo = sqrt (gh) (R+h)) As can be seen that there are 2 factors on which vo depends Gravitational acceleration, and the distance between the satellite and the centre of the earth
5.15 Why communication satellites are stationed at geostationary orbits? The satellites are stationed at geostationary orbits because they need to receive and send signals from and to fixed points on earth. So if they are not placed in geostationary orbits, their locations will change with respect to the earth. So it’s undesirable because then we will have to change their directions and angles
The liver, the largest organ in the body, plays a central role in metabolism, detoxification, and maintaining homeostasis. Structurally, it is a lobulated exocrine and blood-processing gland, enclosed by a thin collagen capsule. Several key vessels enter or exit the liver, including the portal vein, hepatic artery, and hepatic veins. The portal vein delivers nutrient-rich blood from the gut, the hepatic artery supplies oxygenated blood, and the hepatic veins drain processed blood into the vena cava. Additionally, lymphatic vessels and hepatic ducts transport lymph and bile, respectively. These structural features highlight the liver's complex role as a biochemical laboratory.
The microanatomy of the liver is organized into functional units called liver lobules, which appear as uniform glandular masses under close examination. Each lobule is centered around a central vein, with blood flowing through sinusoidal channels lined by fenestrated endothelial cells and Kupffer cells. These sinusoids receive blood from terminal branches of the portal vein and hepatic artery, which converges toward the central vein. In contrast, bile flows outward from the center of the lobule through bile canaliculi toward the bile ducts located at the periphery. The functional microanatomy is further subdivided into liver acini, which are smaller units representing zones of metabolic activity. These zones, classified as periportal, intermediate, and perivenous, reflect variations in exposure to blood supply and susceptibility to toxins.
The liver's main cell types include hepatocytes, Kupffer cells, endothelial cells, and stellate cells. Hepatocytes make up 80% of the liver's mass and perform numerous functions, including glucose metabolism, protein synthesis, bile production, and detoxification. These polygonal cells are arranged in plates, with sinusoidal faces interacting with blood and lateral faces connecting to neighboring hepatocytes. Kupffer cells, found in the sinusoids, act as phagocytes and play immunological roles. Stellate cells, located in the space of Disse, store vitamin A and contribute to fibrosis when activated. The endothelial cells lining the sinusoids facilitate plasma exchange with hepatocytes, enabling the liver's metabolic functions.
The liver's bile production and transport are essential for digestion and excretion. Bile flows through canaliculi into the canals of Hering, then into bile ductules and ducts. These ducts eventually lead to the cystic duct, allowing bile to be stored in the gallbladder or released into the duodenum. The lymphatic system, originating in the space of Disse, drains into portal lymphatics, although its precise anatomy remains unclear.
Liver function tests (LFTs) provide crucial insights into the organ's health. These tests measure enzymes such as alanine aminotransferase (ALT) and aspartate aminotransferase (AST) to assess hepatocyte damage. Other markers like bilirubin, alkaline phosphatase (ALP), and gamma-glutamyl transferase (GGT) evaluate bile flow and transport. Albumin levels and prothrombin time reflect the liver's synthetic function. Together with clinical examination and imaging, these tests aid in diagnosing liver diseases, including cirrhosis, a condition characterized by fibrosis and impaired liver function.
In summary, the liver is a vital organ responsible for regulating blood sugar, detoxifying toxins, producing bile, and synthesizing essential proteins. Its complex microanatomy supports its multifaceted functions, making it indispensable for maintaining metabolic and physiological balance. Understanding its structure and function is crucial for diagnosing and managing liver-related disorders.
The physiology of digestion focuses on the intricate processes by which the body breaks down food and absorbs essential nutrients. Central to digestion is the stomach, which produces about 2.5 liters of secretions daily, including hydrochloric acid (HCl). This acid plays a crucial role in breaking down food while being carefully regulated by the oesophageal and duodenal sphincters to prevent reflux. To protect itself from its acidic environment, the stomach relies on a robust mucus barrier that lines its surface.
Acid production in the stomach is driven by various specialized cells. Parietal cells secrete HCl, which facilitates digestion and nutrient absorption. Neuroendocrine cells also play key roles, with enterochromaffin cells producing histamine, G cells secreting gastrin to stimulate acid production, and D cells releasing somatostatin, which inhibits acid secretion. In addition, mucus cells produce the protective mucus layer, while chief cells secrete pepsinogen, a precursor to the enzyme pepsin that aids in protein digestion. To manage excessive acid production or treat conditions like acid reflux, medications such as histamine blockers (e.g., ranitidine) and proton pump inhibitors (PPIs) like omeprazole and lansoprazole are commonly used.
The digestion of food involves specific enzymes tailored to macronutrients. Carbohydrates are broken down by amylase, which is produced in the mouth and pancreas, into glucose. This glucose is absorbed in the stomach and small intestine with the help of insulin. Proteins are digested by proteases such as pepsin, derived from pepsinogen in the stomach, and trypsin and chymotrypsin, which are activated in the pancreas. These enzymes facilitate protein breakdown, with absorption occurring in the small intestine. Fats are emulsified by bile salts and digested by lipase, primarily pancreatic lipase, with enterohepatic circulation supporting this process.
Nutrient absorption is a complex process occurring at specific sites in the gastrointestinal tract. Vitamin B12 is liberated from dietary proteins by stomach acid and pepsin. It binds to R factors (haptocorrin) before forming a complex with intrinsic factor in the duodenum, enabling its absorption in the terminal ileum. Deficiencies in vitamin B12 can arise from poor diet, pernicious anemia, small bowel diseases like Crohn’s, or surgical resection of the small intestine. Similarly, folate, which is abundant in animal products and leafy greens, is processed in the jejunum into an absorbable form. It plays a vital role in DNA synthesis and repair, with deficiencies linked to poor diet, small bowel conditions, or medications like methotrexate.
Iron absorption is another critical pathway, occurring primarily in the duodenum. It exists in two forms: ferrous iron (Fe2+), which is soluble and easily absorbed, and ferric iron (Fe3+), which requires gastric acid to convert it to the more absorbable Fe2+ form. Vitamin C enhances iron absorption by reducing Fe3+ to Fe2+. Low stomach acid, often due to PPI use, impairs iron absorption, highlighting the importance of gastric acid in this process.
Na pragu svojih dvadesetih bio sam laka roba, bile su moderne barabe onih dana. Ne želim svega ni da se setim, svašta sam morao da probam. Zvalo me zabranjeno voće s raznih grana. Sad žalim, da, al šta sam znao ja. Ti si bila još devojčica. Leteo je kao leptir tvoj čuperak. Drugi bi sve imalo smisao, drukčije bih život disao da sam znao da postojiš Olivera. Možda smo, a da nismo znali, pred isti izlog negde stali, možda smo zajedno iz voza negde sišli. Možda si sasvim blizu bila, ulicom mojom prolazila i možda smo se na trenutak mimoišli. Sad žalim, da, al šta sam znao ja. Ti si bila još devojčica, daleko od moga oka i mog pera. Drugi bi sve imalo smisao, ne bih svakoj pesme pisao da sam znao da postojiš Olivera. Drugi bi sve imalo smisao, ja bih iz te gužve zbrisao i nikom ne bi bilo jasno šta to smeram. Znao bih gde da sebi nađem mir, skrio se u tajni manastir i čekao da ti odrasteš Olivera.
Wealth is a vital part of my life. I can reach my money goals and go beyond them. Any unexpected money is always welcome. I am always looking for new sources of income. I can earn money in both expected and unexpected ways. I won’t stop myself from earning money. I know more and more wealth is always coming, and I’m going to accept it. My life is full of opportunities for abundance, wealth, and loads and loads of money. I’m going to commit to my financial dreams. I’m attracting more and more money right now. I am a money magnet, and nothing can stop me. I’m open to receiving more and more money.
Money flows like a refreshing spring into my life. Money continues to pour into my life. I’m on my way to increased wealth. I’ll get all the riches I need and want. All I need to become more and more prosperous is within me. I allow money to flow into my life. My thoughts shape my financial success. I choose money, and money also chooses me. I am in the process of getting a fortune. More and more prosperity is arriving soon.
I can manage my money effectively. I know my income is substantially more than what I spend. I live on my own terms, and I am on my way to becoming super rich. I control the money. Money and wealth loves me; for this reason, I continue to attract loads and loads of money: millions of euro! Prosperity is mine. Wealth is mine. Financial independence is mine.
My financial situation is positive. I know I have the willpower to make the right financial choices. With my efforts, I am in the process of building my financial dream. Each day that passes, I am becoming more and more wealthy. I love money and money definitely loves me. My dream of becoming more and more wealthy is happening right now. I know how to spend money wisely. I save money efficiently. Saving money is a positive challenge. I love saving money. I love growing my wealth.
I’m destined to be very rich. I earn all the money I can. Money loves entering my life for me to use. There are no limits to how much I can earn. I embrace new income sources. I can make money easily. That's definitely true: I can attract money into my life easily. I love money. Wealth is amazing and I am loving wealth. Focus, dedication and persistence results in more and more money. Every day is an opportunity to earn more money. Money is good. Money is fantastic. My investments invariably pay off. More money equals more ways to make money. I can afford everything I want. Nothing is stopping me from getting rich. I have a great financial mindset.
More and more money is constantly finding ways to enter my life, for me to use and enjoy. Money loves me and I love money. Having loads and loads of money is brilliant. I feel so alive knowing that I have all the money I could ever want. I am financially free. I have loads and loads of money. I am wealthy. I am happy.
I have loads and loads of money. And my wealth is increasing exponentially every day. I am becoming wealthier and wealthier beyond what I could ever have imagined. Money is fabulous. Money is amazing. Money loves me. Wealth continues to enter my life. I am financially free. I continue to earn and attract huge amounts of money. I live very comfortably. I attract everything I could possibly want or wish for. I continue to earn more and more money. Millions of euro love me.
Thank you, thank you, thank you for my ever growing wealth. I am financially free. I am wealthy. I am happy. Each and every day presents me with more and more opportunities to earn money and to make substantial profits.
WEALTH. WEALTH. WEALTH.
[...]en
U noći gluvoj tek gard pada, ruke pustim kada vidim sebe, sve se manje čuje tvoj glas, unaručje me uzmi, Slađana. Lik razbijen, gorak, tako sam, kaže zbog mene, zbog mene. Voljiva sam svaku noć, dok vole sakato, šta to masa vrela krije, neću više ni da pijem, varljivo dok svaku noć, izgledam bahato, šta to masa krije, neću ni da pijem. Samo snimi me - o, daj, šta to vidiš - o, kada, ti se čini - o, daj, samo sipni, ma zalud je, tripuješ, e, jedva dišem, kada skinem sve sa sebe. Gorak razbijen, zaveden, kao zbog mene, zbog mene. Voljiva sam svaku noć, dok vole sakato, šta to masa vrela krije, neću više ni da pijem, varljivo dok svaku noć, izgledam bahato, šta to masa krije, neću ni da pijem. Uzmi me sva, uzimam sve, ne mari za, uzmi me sva, uzimam sve, ne mari za.
U noći gluvoj tek gard pada
ruke pustim kada vidim sebe
sve se manje čuje tvoj glas
u naručje me uzmi Slađana
lik razbijen gorak tako sam
kaže zbog mene
zbog mene.
Voljiva sam svaku noć
dok vole sakato
šta to masa vrela krije
neću vise ni da pijem
Varljivo dok svaku noć
izgledam bahato
šta to masa krije
neću ni da pijem.
Samo snimi me, o
daj sta to vidiš, o
kada ti se čini, o
daj samo sipni
ma zalud je.
Tripuješ, e
Jedva dišem
kada skinem sve sa sebe
gorak razbijen zaveden
kao zbog mene
zbog mene.
Voljiva sam svaku noć
dok vole sakato
šta to masa vrela krije
neću vise ni da pijem
Varljivo dok svaku noć
izgledam bahato
šta to masa krije
neću ni da pijem.
Uzmi me sva
uzimam sve
ne mari za.
Coffee is a multi-billion dollar industry that shows signs of continued growth. In the United States alone, hundreds of millions of people drink coffee on a regular basis. It can be to start their day, a midday boost to get them through the remaining hours of their day, or even a comfort drink. Whatever the reason may be, there are millions of people nationwide who have trouble functioning without the caffeine spike that coffee offers. Today, coffee companies are setting out to satisfy the desires of coffee drinkers by offering a huge and seemingly endless variety of new flavors.
Coffee is a multi-billion dollar industry that shows signs of continued growth. In the United States alone, hundreds of millions of people drink coffee on a regular basis. It can be to start their day, a midday boost to get them through the remaining hours of their day, or even a comfort drink. Whatever the reason may be, there are millions of people nationwide who have trouble functioning without the caffeine spike that coffee offers. Today, coffee companies are setting out to satisfy the desires of coffee drinkers by offering a huge and seemingly endless variety of new flavors.
Of course there is the traditional cream and sugar, or lack thereof (black coffee), but now, anyone interested in trying new flavors will find a much larger selection than ever imagined. Flavors such as Hazelnut, French Vanilla, Chocolate, Dark Roast, Apple Cinnamon, Amaretto, and Butternut, are only a small fraction of what coffee companies have to offer for any consumers who wish to taste something different. Coffee is even offered in a decaffeinated version for those who enjoy the smell and taste of coffee, but wish to stay away from the caffeine. In addition to the many versions and huge variety of flavors, coffee is also offered in an iced/slush version, as well as served with actual ice cubes which have both become a popular alternative to the traditional cup of coffee. Many businesses, both small and big, thrive on the sole sale of coffee and coffee related products (mugs, traveling cups, etc.). The desire to constantly innovate shows that the coffee industry is willing to reach out to the personal preferences and tastes of a nation of coffee drinkers.
Coffee is a multi-billion dollar industry that shows signs of continued growth. In the United States alone, hundreds of millions of people drink coffee on a regular basis. It can be to start their day, a midday boost to get them through the remaining hours of their day, or even a comfort drink. Whatever the reason may be, there are millions of people nationwide who have trouble functioning without the caffeine spike that coffee offers. Today, coffee companies are setting out to satisfy the desires of coffee drinkers by offering a huge and seemingly endless variety of new flavors.
Of course there is the traditional cream and sugar, or lack thereof (black coffee), but now, anyone interested in trying new flavors will find a much larger selection than ever imagined. Flavors such as Hazelnut, French Vanilla, Chocolate, Dark Roast, Apple Cinnamon, Amaretto, and Butternut, are only a small fraction of what coffee companies have to offer for any consumers who wish to taste something different. Coffee is even offered in a decaffeinated version for those who enjoy the smell and taste of coffee, but wish to stay away from the caffeine. In addition to the many versions and huge variety of flavors, coffee is also offered in an iced/slush version, as well as served with actual ice cubes which have both become a popular alternative to the traditional cup of coffee. Many businesses, both small and big, thrive on the sole sale of coffee and coffee related products (mugs, traveling cups, etc.). The desire to constantly innovate shows that the coffee industry is willing to reach out to the personal preferences and tastes of a nation of coffee drinkers.
bottleneck
bottom line
break the ice
on board
across the board.
call it a day
cut our losses
cut corners
take somebody on board
a can of worms
close a deal
breathe down someone’s neck
keep a cool head
Cercano está el Señor a los quebrantados de corazon, y salva a los abatidos de espíritu. Salmo 34:18.
Por lo demás, hermanos, todo lo que es verdadero, todo lo digno, todo lo justo, todo lo puro, todo lo amable, todo lo honorable, si hay alguna virtud o algo que meresca elogio, en esto mediten. Filipenses 4:8
English word "Firefox" where browser Many Firefox browser created 2002 Mozilla
How are channels selective?
A narrow region within the ion channel determines which ions can pass through based on size and charge. For example, potassium channels have a selectivity filter that allows potassium ions(K+) to pass but blocks smaller sodium ions (Na+) despite their similar charge.
הדרך היחידה לעשות עבודה מעולה היא לאהוב את מה שאתה עושה
אל תתן לפחד לעצור אותך מלעשות את מה שאתה באמת רוצה
אין תחליף לעבודה קשה, אבל התמדה תמיד משתלמת בסוף
החיים הם לא לחכות שהסערה תחלוף, אלא ללמוד לרקוד בגשם
אם אתה יכול לחלום את זה, אתה יכול גם לעשות את זה
דמיון חשוב יותר מידע, כי הדמיון הוא מה שיוצר את העתיד
כל דבר שאתה עושה היום מקרב אותך צעד נוסף אל המטרה שלך
אנשים רואים את הצלחה, אבל הם לא רואים את כל העבודה שמאחוריה
המכשולים בדרך הם רק הזדמנויות לגלות עד כמה אתה חזק
המסע חשוב לא פחות מהמטרה, כי בו טמונות כל הלמידות
המגבלות שלנו קיימות רק במחשבות שלנו
ליפול זה חלק מהחיים, לקום זו בחירה
מה שנמצא מאחורינו ומה שנמצא לפנינו הוא כאין וכאפס לעומת מה שבתוכנו
אף פעם לא מאוחר להתחיל מחדש ולהפוך את החלום שלך למציאות
כשדלת אחת נסגרת, דלת אחרת נפתחת – תסתכל על האפשרויות
אתה אף פעם לא קטן מדי כדי לעשות שינוי גדול
הצעד הראשון לשינוי מתחיל בהחלטה לעשות אותו
אין דבר יותר עוצמתי מרעיון שהגיע זמנו
העולם שייך לאמיצים שמעזים לחלום בגדול
כשאתה עוקב אחרי הלב שלך, הדרך שלך מתבהרת
האדם שמאמין שהוא יכול – והאדם שמאמין שהוא לא יכול – שניהם צודקים
כדי להגיע למשהו שלא היה לך מעולם, עליך לעשות משהו שלא עשית מעולם
אל תוותר על החלומות שלך – הזמן יעבור בכל מקרה
קשה עכשיו, אבל זו הדרך להצלחה
אין דבר בלתי אפשרי – רק דברים שדורשים יותר עבודה
כשאתה בונה את עצמך, כל העולם מרוויח
כדי לגעת בכוכבים, עליך להתחיל מהרצפה
אל תחכה להזדמנות – תיצור אותה
תעשה כל יום צעד קטן – הוא יביא אותך למרחקים גדולים
אנשים מצליחים לא נולדים כך – הם הופכים להיות כאלה בעבודה קשה
השינוי מתחיל ברגע שאתה מחליט שהוא אפשרי
גם הדרך הארוכה ביותר מתחילה בצעד קטן
כל מה שאתה זקוק לו כבר נמצא בתוכך – פשוט תאמין בזה
אל תפחד מכישלון – תפחד לא לנסות
החיים הם אוסף של רגעים קטנים שמובילים למשהו גדול
אתה הכותב של הסיפור שלך – תוודא שהוא מעניין
אל תסתכל על כמה רחוק יש ללכת – תסתכל על כמה רחוק כבר הגעת
השינוי הגדול ביותר מתחיל בצעד אחד קטן
תאמין בעצמך גם כשאף אחד אחר לא מאמין – זה כל ההבדל
האומץ הוא לא העדר פחד – אלא היכולת לפעול למרות הפחד
1. Dispersion means the spread or scattering of observations in a dataset
It has two Types:
The spread can be between two extreme observations in a data set.
The spread of observations around an average (for example AM)
The objective of finding dispersion is to study behaviour of values around the average and it also helps us in finding the difference between two values in dataset.
2. Range:
Range is the measure to find the extent of difference between two extreme values in a dataset.
Variance:
Variance is a mean of squared deviation of xi observations from their arithmetic mean
There are two formulae for Variance:
Definitional Formula
Computational Formulae
a. Grouped Data
b. Ungrouped Data
Standard deviation:
Standard deviation is the positive square root of the mean of squared deviation of xi observations from their arithmetic mean.
The formulae for grouped and ungrouped data respectively are:
3. The measures of dispersion are ways/techniques/strategies to find the extent of spread of values in datasets.
There are many measures of dispersion but a few of them are as under:
Range
Variance
Standard Deviation
Range is the ditference between maximum and minimum observation.
The minimum and the maximum values defined tor a class or group are called class
limits.
The total of frequency up to an upper class limit or boundary is called the
cumulative frequency.
A frequency distribution is a tabular arrangement classifying data into different groups.
A Histogram is a graph ot adjacent rectangles constructed on Xr-plane. A cumulative frequency polygon or ogive is a graph of less than cumulative frequency distribution.
Arithmetic mean is a measure that determines a value of the variable under study by dividing the sum of all values of the variable by their number.
A Deviation is defined as ‘a diference ot any value of the variable from any constant’. Di ——xi — A.
Geometric mean of a variable X is the n" positive root of the product of the z, , -r2, x, ,........., z„ observations.
Harmonic mean refers to the val ue obtained by reciprocating the mean of the reciprocal of x , x2, x,, ........., x„ observations.
Mode is defined as the most frequent occurring observation of the variable or data. Median is the measure which determines the middlemost observation in a data set. Statistically, Dispersion means the spread or scatterness of observations in a data set. Range measures the extent of variation between two extreme observations of a data set.
Variance is defined as the mean of the squared deviations of x; (i = 1, 2, ....., n) observations from their arithmetic mean.
Standard deviation is detined as the positive square root ot mean ot the squared
deviations of x¡ (i = 1, 2, , n) observations from their arithmetic mean.
Moving averages are defined as the successive averages (arithmetic means) which are computed for a sequence of days/months/years at a time.
Class Limits: The minimum and the maximum values detined for a class or group are called Class limits. The minimum value is called the lower class limit and the maximum value is called the upper class limit of that class
Class Boundaries: As a continuous frequency distribution is based on measurable characteristic variable which involves the rule ot approximation to record any observation.
Midpoint or Class Mark: For a given class the average of that class obtained by dividing the sum of upper and lower class limits by 2
Cumulative Frequency: The total of frequency up to an upper class limit or boundary is called the cumulative frequency.
Properties of Arithmetic Mean
(i) Mean of a variable with similar observations say constant k is the constant k itself.
(ii) Mean is affected by change in origin.
(iii) Mean is affected by change in scale.
(iv) Sum of the deviations of the variable X from its mean is always zero
