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Mathematicians
Often, to completely understand the importance of a mathematical theory, it's essential to know about the person who developed it. This category is where all questions about historically significant mathematicians should be asked.
6,570 Questions
If you were famous how would you deal with your fame?
I, personally, would use it for the Lord as much as or more than using it for myself or for others. I'd also try to keep out of 'celebrity trouble'.
Where did Blaise Pascal study?
Blaise Pascal did not attend school.
He was a child whose father unapproved of the customs of school. Pascals' father taught Blaise himself.
What year did leonhard euler discover e?
The first references to e were made in 1618 in a work by John Napier - though it was not, at the time, called e. Leonhard Euler began to use the letter e for the constant in 1727, and its first use in publications came in 1736, in Euler's Mechanica.
Is there a famous quote by Sir Isaac Brock?
there is his dying quote, which is "dont mind me, push on the York volunteers"
The short answer is that all circles are geometrically similar. Ignoring the circle's position, you need a single number to characterize the circle.
The idea is that the diameter of the circle is always 2 times the radius, the circumference is equal to the radius times 2 times pi, and the area is calculated as pi times radius squared.
Why is it that it is impossible to work out accurately the area of a circle and Pythagoras' theorem?
First, let's clarify that given the measurements, you can get the calculated measurements as accurately as you want. If, in Pythagoras's Theorem, you have base sides of 1 and 1, the diagonal will be the square root of 2 - and that is the exact value. What is not possible is to express this as a fraction, with integers in the numerator and the denominator. Also, you can't write it exactly as a decimal. However, you can write lots of decimal digits and get it as accurate as you want - that is, make the error smaller than any given positive number. Similarly, if you express the area of a circle, with radius 3, as 9 times pi, that is exact; you can't express this exactly as a fraction of integers or as a decimal; but you can write it in such a way that any error becomes as small as you want.
School algebra books contain a basic proof that the square root of 2 (and, by a similar proof, the square root of any positive integer, except for perfect squares) is irrational - i.e., that it can't be written exactly with fractions of integers. I believe that the proof that pi is irrational is more complicated.
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Furthermore, there are some instances where the exact value for Pythagoras' theorem can be represented as ratios. For example, for a triangle with legs in the ratio of 3:4 units, the hypotenuse will be 5 units. That is perfectly exact. There are infinitely many such Pythagorean triplets.
When did Muhammed ibn al-khwarizmi come up with algebra?
Al-Khwarizmi (Mohammad ebne Mūsā Khwārazmī محمد بن موسی خوارزمی) was a Persian[1][2][3] mathematician, astronomer, astrologer and geographer. He was born around 780 in Khwārizm[2][4][5], then part of the Persian Empire (now Khiva, Uzbekistan) and died around 850. He worked most of his life as a scholar in the House of Wisdom in Baghdad. His Algebra was the first book on the systematic solution of linear and quadratic equations. Consequently he is considered by many to be the father of algebra,[6] a title some scholars assign to Diophantus. Latin translations of his Arithmetic, on the Indian numerals, introduced the decimal positional number system to the Western world in the twelfth century.[5] He revised and updated Ptolemy's Geography as well as writing several works on astronomy and astrology. His contributions not only made a great impact on mathematics, but on language as well. The word algebra is derived from al-jabr, one of the two operations used to solve quadratic equations, as described in his book.
What is the Contribution of Democritus to trigonometry?
Wikipedia has no reference of Democritus' contribution to Trig. He contributed to Atomic theory, and to Geometry. Some Geometry and Trig. topics overlap, so maybe that is what you are referring to.
How do do you calculate the volume of a can in Archimedes principle?
You can use the formula for a cylinder in this case.
Did Alan Turing's family have the same ability as he did?
Alan Turing was an only child. His parents were well-to-do, but aparently had a long distance relationship. From published reports, his parents were not particularly interested in mathematics, being a career diplomatic family.
What did Sir Issac Newton explain in his Philosophiae Naturalis Principia Mathmatica?
I am not sure how much detail you want. But basically he explained Newton's three Laws of Motion, Newton's Law of Gravitation and developed Kelper's Laws of Planetary Motion.
Who invented forces Was it Isaac Newton?
Forces are a natural phenomena, no one invented them! Isaac Newton was one of the first to describe them using physics and mathematics
The problem I have had is the base melting and charring of the contact from the resulting loose connection. This seems to be another common problem with intrigues and other similar GMs. I have found that using Sylvania bulbs hold up bestter than GE and others. My guess is the base material has a higher melting point. Be sure and clean off the contacts in the connector and inspect for damage, else you will fry the next bulbs in short order. I have heard several instances of tail lights and driver lights on other brands as well as GM having overheat problems.
What is Godel's theorem and the limits of science?
Gödel's theorem states that it is impossible to make a complete set of mathematical axioms that can explain every truth about arithmetics.
This means that no matter how you define the fundamental axioms of mathematics, there have to be certain statements that are true within mathematics that can not be formally proved by using the fundamental axioms. This theorem pretty much shattered the mathematician's dream of describing all of mathematics within a framework of a limited number of logical axioms. Nevertheless, the axiomatic Zermelo-Frankel set theory is able to explain all of the known mathematics from fundamental axioms, but philosophically it is still not a complete theory.
Although the theorem is extremely complicated, it can be understood by anybody with a basic mathematical knowledge. This link shows a version of the proof:
http://www4.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/godel.html
