Pythagoras
Pythagoras was a very significant person in the history of the world.
He made many contributions to the fields of math, music, and astronomy.
Pythagoras's teachings and beliefs that were once taught by him in his own
school in ancient Greece, are still taught today.
In this essay, the author
Explains that pythagoras was a significant person in the history of the world. his teachings and beliefs are still taught today.
Explains that the square of the hypotenuse of aright triangle is equal to the sum of squares from the two other sides.
Explains that pythagoras' discovery of irrational numbers changed greek mathematical belief that whole numbers and their ratios could account forgeometrical properties.
Explains that pythagoras noticed that vibrating strings produce harmonious tones when the lengths of the strings are whole numbers.
Concludes that pythagoras made many contributions to modern society, making him recognizable as a formidable scientist.
going to be four, because that is the set standard. Two plus two does not equal five simply
In this essay, the author
Opines that tests can be easily misused and are just a few of the types of tests.
Explains the wisconsin model academic model for social studies and science at the 4th, 8th and 12th grade levels.
Explains how a norm-referenced test compares people's scores against the scores of groups of people.
Explains that there are examples of walkouts and reasons why to stop standardized testing.
Explains that standardized tests could be used for getting into a top-of-the-line college or to see if you meet the requirements for jobs.
Explains that in order to persuade a certain career, it is necessary to see how you rate in comparison to the company?s standards.
Explains that if the standard is eight pepperonis on a large pizza, then you will be required to put eighty pepperones on the pizza. the standard amount of sauce is set in stone until later
Explains that academic standards are written expectations of what every child should know and be able to do at school.
Argues that bush wants tests to be used to tell if a student has taken in the standard amount of knowledge they should have while in that grade.
Explains that exams are created in which the results end up graphed in a bell-like curve, meaning most students score near the middle, with some being higher and some lower.
Explains that nrts are made so that half of the tested individuals score below the average score. they do not give the student a chance to apply what they know to real-world situations.
Explains that the passing score is subjective, not objective. a criterion is a standard, rule, or test on which an opinion or decision can be based.
Opines that many oppose standardized testing because it is expensive and biased towards people of different races and incomes. there have been many walkouts and even sites.
Opines that with more and more schools basing graduation on standardized test scores, and the never ending controversy on bias in testing, the battle continues.
...tries beside each other on the triangle can be added to get the entry below them.
In this essay, the author
Explains that since the topic chosen is not an application, there are more secondary sources than primary sources. recency of content isn't an issue as mathematics as a science of quantities largely stays the same through the years.
Explains that binomial coefficients represent subsets in an n-element set with a certain number of elements k.
Explains that the binomial theorem can be restated by n-k and k.
Explains multinomial coefficients are a generalization of the concept for expansions with many terms like (a+b+c++w+x)n.
Explains how pascal's triangle, a two-dimensional pattern, can be extended to any number of dimensions n. the paper aims to introduce pascal’s pyramid to mathematics or statistics education.
Explains that pascal's pyramid is an extension of the principle of pascal’s triangle in that the method for building each row or layer is similar, but for the pyramid, another dimension is added.
Explains the binomial theorem, which provides the basis for the properties of pascal’s triangle.
We cannot have a negative width, so the negative answer is not considered. Therefore, the
In this essay, the author
Explains that the fibonacci sequence is often defined as 'f_n _(n=1)' containing the numbers 1, 1, 2, 3, 5, 8, 13, 21, and so on.
Explains that phi () considers a rectangle with height, h, and width and forms the following ratio.
Explains that to get the value for, we should assume h=1. this does not lose generality for the ratio.
Explains that we cannot have a negative width, so the negative answer is not considered.
Explains that a golden spiral has been superimposed over the hurricane, but the pattern is relatively obvious without the visual aid.
Explains that a pentagram is formed if the side lengths of the pentagon are one unit, the ratio between the diagonals and the sides is.
Explains how the golden ratio has been used in music, including mozart's fantasia and fugue in c major.
Explains roger penrose's discovery that a surface could be completely covered with shapes arranged in an "asymmetrical, non-repeating manner in five-fold symmetry."
Analyzes how dali's painting sacrament of the last supper incorporated a giant dodecahedron that engulfs the supper table.
Explains that despite the prevalence of the golden ratio, not everything abides by its rules. the leaning tower of pisa's perspective is perfectly blended together to make a pleasing image.
Explains that to do this, they would have to take values of a cube (all three lengths).
Explains that they would test the cube with 3 x 3 sides.
Describes the differences between one face and two face.
Describes the advantages and disadvantages of a two-dimensional (3-x-3 x 3) and explains how they compare and contrast.
Describes the 18+18 + 18 - 24+24 + 24 = 6.
Explains that one face is 2(a) - 2)(b)+2(c) + 2 (b).
Describes the factors that make up the difference between the two.
Describes the total formula of 8 + 12 + 6(n - 2)2 +
Explains that one face is 2(a) - 2)(b)+2(c) + 2 (b).
Explains that to solve this problem, they built different sized cubes.
Describes how they started by building a cube sized '2x2 x 2' with three faces. they then went onto another 3x3x3.
Opines that the answer they were looking for was 0. since they had used it in their previous formulas, they decided to see if it would work.
Explains that they tried '4n' but as they calculated it in their head, it wasn't going to work. they realised they would have to minus 4 to get their answer.
Explains that 4(a - 2) would have to be multiplied by four to become a 3-d cube.
Explains that they needed to find another length to get the area of cubes with one face.
Explains the first part of their formula, and how they had two more to find. the second part would be 2(a - 2).
Problem Statment:You have to figure out how many total various sized squares are in an 8 by 8 checkerboard. You also have to see if there is a pattern to help find the number of different sized squares in any size checkerboard.Process: You have to figure out how many total different sized squares you can make with a 8x8 checkerboard. I say that there would be 204 possible different size squares in an 8x8 checkerboard. I got that as my answer because if you mutiply the number of small checker boards inside the 8x8 and add them together, you get 204. You would do this math because if you find all of the possible outcomes in the 8x8, you would have to find the outcome for a 7x7, 6x6, 5x5, 3x3, and 2x2 and add the products of
In this essay, the author
Explains how to find the total number of different sized squares in an 8 by 8 checkerboard.
Pythagoras
My name is Pythagoras of Samos. I believe I should win the fabulous two-week cruise on the incomparable Argo because I dedicated my life to educating and caring for the future generations. I risked my life to share my knowledge with anyone who wanted to learn.
In this essay, the author
Explains that pythagoras of samos dedicated his life to educating and caring for the future generations. they lived most of their life in crotona, italy.
Explains that they developed their philosophies and beliefs after viewing many different aspects of life. they believe in metempsychosis, the transmigration of souls from one body to another, and that both sexes are equal.
Explains that they were one of the first to promote the idea of vegetarianism and created a school called the pythagorean brotherhood. they also influenced famous philosophers like plato and aristotle.
Opines that if they could meet a greek god or goddess, they would undoubtedly choose apollo. he has many great characteristics and we could be good friends.
Explains that they want to meet him because he owns an oracle that can tell the future.
Opines that greece's prime minister is trying to resolve the kosovo problem by talking with both political forces. he wants the neighboring countries to join the north atlantic treaty organization.
Opines that it is good to see that greece is trying to create peace with its neighboring countries.
Cites bulfinch, thomas, cohen, s. marc, evslin, bernard, and xinhua news agency.
Explains that meserve, bruce e. "pythagorean theorem," encyclopedia americana, 1994 ed. murelatos, alexander p.d.
Pythagoras
Pythagoras was born around 569 B.C. in Samos, Ionia, and died around 475 B.C. Pythagoras was a Greek philosopher, and mathematician. Pythagoras also developed the Pythagorean brotherhood. This was religious in nature, however it formulated principals that influenced the thoughts of Plato and Aristotle, and contributed to the development of mathematics and Western rational philosophy. Pythagoras not only developed the theorem of A2+B2=C2, but he was also the first to create the music scale of today. Unfortunately none of Pythagoras’s writings from this development time have survived to present day.
In this essay, the author
Explains that pythagoras was a greek philosopher, mathematician, and the first to create the music scale of today.
Explains that pythagoras created a brotherhood with an inner circle of followers known as mathematikoi. they lived permanently with the society, had no personal possessions, and were vegetarians.
Explains that pythagorean women became famous philosophers, and the outer circles of the society were known as the akousmatics.
Explains that pythagoras' school practiced secrecy and communalism, making it difficult to distinguish between his work and those of his followers.
Explains that pythagorean thought that things are numbers, and that the whole cosmos is a scale and number. he noticed that vibrating strings produced harmonious tones when the lengths of the strings are whole numbers.
Explains that pythagoras studied the properties of numbers like mathematicians of today would. however, he gave numbers a personality. modern mathematics has deliberately eliminated these personality factors from its presence.
Explains that pythagoras' famous geometry theorem was known to the babylonians 1000 years earlier, but he may have been the first to prove it.
Opines that pythagoras was one of the world's greatest men, but none of his writings are available. his followers had the good sense to record lots of it for him.