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Differential Equations Johann Bernoulli
2,228 words... see the general scheme of the works with them, and they developed his ideas, calculating tables, and sometimes compiled examples. For example Euler credits Albrecht, Krafft and Lexell for their help with his 775 page work on the motion of the moon, published in 1772. Fuss helped Euler prepare over 250 articles for publication over a period on about seven years in which he acted as Euler's assistant, including an important work on insurance which was published in 1776. Yushkevich describes th...
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Fibonacci Sequence Previously Mentioned
1,151 words... ely 1; adding 3 to this makes the second square, namely 4, whose root is 2; if to this sum is added a third odd number, namely 5, the third square will be produced, namely 9, whose root is 3; and so the sequence and series of square numbers always rise through the regular addition of odd numbers. Leonardo died sometime during the 1240 s, but his contributions to mathematics are still in use today. Now I would like to take a closer look at some of Leonardo's contributions along with some exam...
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Chaos Theory Straight Lines
1,201 wordsWhere Chaos begins, classical science ends. Ever since physicists have inquired into the laws of nature, the have not begun to explore irregular side of nature, the erratic and discontinuous side, that have always puzzled scientists. They did not attempt to understand disorder in the atmosphere, the turbulent sea, the oscillations of the heart and brain, and the fluctuations of wildlife populations. All of these things were taken for granted until in the 1970 's some American and European scient...
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Good Or Bad Moral Relativism
4,406 wordsMORAL OBJECTIVISM 1 What is the issue The present essay is a defense of a view called moral objectivism and attack on its opposite, subjectivism or moral relativism. Moral relativism is probably the subject concerning which more nonsense has been written and said in modern times than any other in moral philosophy. I suspect this is partly because people wish to provide arguments in favor of relativism without first having a clear idea of what their thesis is; partly because the authors' argument...
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Physical Side One Time
866 wordsThere are many kinds of networks, however this paper will be about networking computers. As we move further and further into the paperless society, the need for people to be connected and able to exchange data just as fast as they could by handing a paper to someone increases. This can be accomplished by having a group of computers connected by a network, so that as soon as data is entered into one computer, it can be immediately accessed by someone else on a connected computer, no matter how fa...
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Real Numbers Starting Point
1,939 wordster> Sam Vaknin's Psychology, Philosophy, Economics and Foreign Affairs Web Sites Finiteness has to do with the existence of boundaries. Intuitively, we feel that where there is a separation, a border, a threshold there is bound to be at least one thing finite out of a minimum of two. This, of course, is not true. Two infinite things can share a boundary. Infinity does not imply symmetry, let alone isotropy. An entity can be infinite to its left and bounded on its...
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Long Term Memory Short Term Memory
1,072 words... in at least three different areas: the specific aspect of life in which the story takes place, the mathematical procedures that can be applied to the problem, and the logic and language of the story (Grauberg p. 81). The area of spatial organization seems to be the hardest to teach children. There are serious doubts about methods and transfer and there seems to be very little information about the frequency and severity with which spatial disability occurs (Grauberg p. 101). Spatial ability ...
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History Of Thinkers Who Led The Scientific Revolution
1,030 wordsAstronomy made up the majority of the Scientific Revolution, and only a few significant figures made significant advances in Astronomy, while church dogma hindered many efforts to make sense out of rational theories that were opposed to the Holy Scripture. Aristotle, father of science, was born in 384 B. C. and inaugurated the first theory to make sense of planets, stars, and the universe in general. In the 16 th century Copernicus, created a theory rejecting some of Aristotle's theory's princip...
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Form Of Communication Day To Day
1,569 wordsLanguage is defined in Websters New World Dictionary as "a system of vocal sounds and combinations of such sounds to which meaning is attributed, used for the expression or communication of thoughts and feelings. " However, this definition is somewhat flawed. The term "language" encompasses a wide range of modes of communication. Communication is, of course, the principal purpose of language. However, although all language is a form of communication, not all communication is language. Take for e...
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Octave Johnston 1989 Based On Pythagorean Music
1,360 words"Music is the harmonization of opposites, the unification of disparate things, and the conciliation of warring elements... Music is the basis of agreement among things in nature and of the best government in the universe. As a rule it assumes the guise of harmony in the universe, of lawful government in a state, and of a sensible way of life in the home. It brings together and unites. " The Pythagorean's Every school student will recognize his name as the originator of that theorem which offers ...
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Process Of Learning Literacy Skills
2,045 wordsReflective essay During the recent years the amount of students who learn English as a second language increase greatly. The students are referred as literacy students or ESL students, and there is a special attitude to these student while teaching them at schools. There was a strong belief that ESL students should be taught by means of strict instructions. The process of learning was boring and ineffective. In our days many teachers agree that literacy students can get new experiences in conten...
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Boys And Girls Lets Examine
2,652 wordsThe First Mathematical Problem of David Hilbert: Continuum Hypothesis Continuum Hypothesis, also known as the first Hilbert's problem is one of the most interesting mathematical problems. It is often spoken within the context of the basic mathematical tasks and multitude theory. Continuum Hypothesis is closely related to such simple and natural questions like how much? , More or less? , How many? , etc. Even the smallest child is able to understand the formulation of this problem. Nevertheless, ...
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Achievements Of Sir Isaac Newton
720 wordsAchievements of Sir Isaac Newton Sir Isaac Newton is worldwide famous physicist and philosopher of the 17 th century, whose intellectual power, inspiration and systematic imagination found no equal one in the whole history of science. Though hed earned the reputation of rather weird and complicated personality, his contribution into the development and progress of mathematic thought still remains principal and foremost. Future scientific genius was born on December 25, 1642, at Woolsthorpe, Linc...
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Gender Differences In Mathematical Understanding Part 1
1,642 wordsGender Differences in Mathematical Understanding in Children The issue of gender differences in mathematics has been debated since 1970 s. Then the numerous research projects investigated the nature and extend of the differences between the achievements of boys and girls and proposed different kinds of reasons of such disparities. In my essay I will continue the discourse on mathematics and gender and examine the progress that has been made in this issue due to the recent research works. Thus, I...
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J J E F
1,723 wordsPtolemy: Integrity at Question Ptolemy (about 85 about 165), until recently, was considered to be one of the most prominent and influential astronomers of ancient Greece who introduced the geocentric theory in a manner that prevailed for more than 1000 years. However, after the recent findings, the authenticity of Ptolemy's works was submitted to more argument and discussion than any other Greek mathematicians discoveries. Scientists and historians are now divided into 2 warring groups, the firs...
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Octave Johnston 1989 Based On Pythagorean Musical
1,354 wordsMusic is the harmonization of opposites, the unification of disparate things, and the conciliation of warring elements Music is the basis of agreement among things in nature and of the best government in the universe. As a rule it assumes the guise of harmony in the universe, of lawful government in a state, and of a sensible way of life in the home. It brings together and unites. The Pythagorean's. Every school student will recognize his name as the originator of that theorem which offers many ...
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Euclidean Geometry Number Theory
704 wordsCarl Friedrich Gauss Carl Friedrich Gauss was a German mathematician and scientist who dominated the mathematical community during and after his lifetime. His outstanding work includes the discovery of the method of least squares, the discovery of non-Euclidean geometry, and important contributions to the theory of numbers. Born in Brunswick, Germany, on April 30, 1777, Johann Friedrich Carl Gauss showed early and unmistakable signs of being an extraordinary youth. As a child prodigy, he was sel...
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Good All Powerful Terms Of Mathematical Descartes
957 wordsDescartes believed that Descartes Descartes Descartes believed that we should ask what it would mean to know about reality, and to examine what reality meant. He claims that unless we know first whether our belief itself is justified we cant know. To determine whether our beliefs are justified, we have to be able to trace them back to a statement, belief, or proposition that cannot be doubted. Like many other philosophers the only true and believable facts are mathematical. But if achieved, such...
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Existence Of God Black And White
1,405 wordsHow can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality (Einstein)? How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality (Einstein)? This issue has troubled philosophers as well as scientist since Einstein first posed it. To answer what Einstein meant when he asked the question,...
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Object In Order Analysis And Intuition Time
767 wordsAnalysis and Intuition Henri Bergson was a modern philosopher who merged empiricism with a bit of rationalism to become part of a new empiricism that held room for intuition and movement with a flux through time. He essentially refused science? s claim to explain the universe in mechanical conditions; instead he considered life an unending creation, a matter of change and time unlike something static. In Henri Bergson? s (originally? ) dualistic realm there existed the distinctive modes of consc...
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