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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

Why is slopes and linear function so important?

First of all, many relationships are inherently linear. For example, distance travelled is a linear function of time where the slope is speed.

Beyond that, linear functions are extremely simple. Because of this they can be used to model pieces of more complicated functions in a simple way. Thus, you can study the properties of the complicated function by studying a piece of it at a time, in a sense.

Many mathematical objects can be said to behave as linear operators. This means that a firm undertstanding of lines, slopes and linear functions transfers to these objects.

Linearity is fundamental to a great deal of mathematics.

What is amalie Emmy noether known for?

She was mainly known for Noether's Theorem, which is often quoted nowadays, when talking about conservation of energy. Noether's Theorem makes it possible to relate several conservation laws with corresponding laws of symmetry in the Universe. In the case of energy conservation, this is related to the fact that physical laws don't change over time. In other words, if energy conservation weren't valid, then physical laws would change over time! Similarly, the law of Conservation of Momentum is related to another symmetry: physical laws are the same anywhere in the Universe. Please note that a detailed understanding of Noether's Theorem requires some pretty advanced math.

What is the reduced form of 84 over 198?

84 / 198 = ???

They are both even, so divide the numerator and denominator by 2:

84 / 198 = 42 / 99

This time they are both divisible by 3 (see tip below on how I knew this):

42 / 99 = 14/33

14/33 is the reduced form, it cannot be further simplified.

Extra Tip:

To see if a number is divisible by 3, sum up the digits and keep doing it until you have a single digit:

E.g., In 42, 4+2=6

In 99, 9+9=18; 1+8=9

If the result (called a digital root) is equal to 3, 6, or 9 than the number is divisible by 3.

If the digital root is equal to 3, 6, or 9 and it is even than the number is also divisible by 6.

If the digital root is equal to 9, than the number is also divisible by 9.

This tip helps with doing a number of a problems in your head.

Why is the value of iota square negative?

The value of iota square is negative one because that is how it is defined. Iota is defined as the square root of negative one, or iota square must be negative one.

Who was the mathmitition created geometry?

Geometry has been studied in every civilization that we have written records of. In that sense, no mathematician can have created geometry. Euclid is generally recognized as having pioneered the use of the axiomatic method in mathematics. Of that work, his most famous is his work in geometry.

How can you get prime factorization of 1001 by Indian method?

It's difficult to draw that on this website, but I can talk you through it. Divide 1001 by 7 and get 143. Divide 143 by 11 and get 13. Divide 13 by 13 and get 1. Stop there.

7 x 11 x 13 = 1001

What did muslim mathematicians invent?

Muslim mathematicians are responsible for introducing our number system. That is why we call them Arabic numerals. They developed the concept of zero as a value, the decimal system, arithmetic operations, exponentiation and square root determination. and various concepts such as proof by mathematical induction

A lot of work was also done in algebra and geometry, trigonometry and more.

What was Charles Babbages interest?

Mostly calculating and publishing error free navigation tables. Anyone could publish navigation tables, but there were so many sources of error (miscalculating, writing error, typesetting error, etc.) that most available tables at the time were actually dangerous to rely on.

What two inventions did Archimedes make?

one was the pulley. Another is called Archimedes screw. Its purpose was to bring water from a lower level to a higher one.

How is Euclid's first common notion related to the equivalence properties of equality?

αʹ. Τὰ τῷ αὐτῷ ἴσα καὶ ἀλλήλοις ἐστὶν ἴσα.

Translation from ( EUCLID'S ELEMENTS OF GEOMETRY

The Greek text of J.L. Heiberg (1883-1885) )

1. Things equal to the same thing are also equal to one another.

Algebraicly stated: If a = c and b = c then a= b, a,b,c things that Euclid talks about in his book. (Figures, magnitudes etc)

This relates to the Transitive property of equality that states the exact same thing for the set of Real numbers(superset).

If a = c and b = c then a = b, a,b,c belong to R.

What was Rene descartes significance to the scientific revolution?

Descartes contributed to mathematics and physics, adding to the advances of the scientific revolution. The skepticism expressed in his philosophical theories also influenced thought in the scientific revolution and the Enlightenment.

Why did Isaac newton have white hair?

Isaac Newton started growing prematurely white hair when he was young. He started growing strands of white hair at young age.

Was Leonhard Euler blind?

Yes, after getting a deadly fever in 1735 he went blind in one eye, later to have cataract surgery and gain sight back for a few days. But he did not take good car of himself or his eye, and he lost his sight again.

Where is Rene Descartes buried?

At Rene Descartes death, Sweden was primarily a Protestant country so he was buried in the graveyard for unbaptized babies, although he was a Catholic. Later, his remains were taken to the Abbey of Saint-German-des-Prés, the oldest church in Paris, where he was laid permanently to rest.

How did Rene descartes invent the cartesian coordinate plane?

There is an urban myth that Descartes invented the Cartesian plane by watching a fly on the ceiling and then trying to describe its movements based on its distance from the walls.

How can i download Ml aggarwal understanding isc mathematics for class X11 book?

If the book is currently available as an online ebook in regards to a class, then one should be capable of downloading it from the virtual library in regards to the school requiring it. Otherwise, a teacher may hand it out on a flash drive at the beginning of class rather than as a download for students in order to keep the files from corrupting or other incidents.