What is Gottfried Wilhelm Leibniz most well known for having invented?
he invented calculus but was accused of taking credit from Newton
What kind of response is given by laplace transform analysis?
The type of response given by Laplace transform analysis is the frequency response.
How much and what type of schooling did David Hilbert receive?
David Hilbert earned a doctorate from the University of Königsberg in Germany in 1885. See related Wikipedia link for more information.
How much is a 1943 liberty dime?
The value is dependent on silver price, at the time of writing it is just over $2.10 but the value changes whenever silver changes.
Nicolaus Copernicus was the first astronomer to formulate a scientifically-based heliocentric cosmology that displaced the Earth from the center of the universe.
So yes I guess you can say he was a scientist.
Name of Augustin Louis Cauchy's prominant students?
Francesco Faa' di Bruno Here is a link to his bio http://en.wikipedia.org/wiki/Francesco_Faà_di_Bruno
Obviously. Otherwise she wouldn't have become one of the greatest math geniuses ever.
According to de Moivre's theorem, that for any complex number x and integer n,[cos(x) + i*sin(x)]^n = [cos(nx) + i*sin(nx)]
where i is the imaginary square root of -1.
What did Isaac Newton find out about newton's?
He discovered that the gravitational force between two massive objects is proportional to their masses and inversely proportional to the square of the distance between them.
Perhaps more importantly he also showed that the force that keeps us on the ground, and the one keeping the Moon, say, in orbit is, in fact, the same. This was not at all clear at that time, because the Moon, the planets and the stars where all very far away, so why should they follow the same principles as the things we have here on Earth?
Some ancient Greeks for example thought that the Moon was kept up in the sky because it belonged there. And things fall down if we throw them up, because they belong down here.
However, Newton, using his newfound equation for gravity was able to calculate the motions of planets themselves to great accuracy. (In fact the only place where his equations starts to fail significantly is with Mercury, and that problem wasn't solved until Albert Einstein proposed his theory of general relativity in 1916.)
How Does 1 over 2 to 100th power have a repeating or terminating decimal?
It has a terminating decimal.
What fraction does the trapezoid equal?
A trapezium is a quadrilateral: it dies not represent any fraction.
Is there the proof of pi's and tau's existence?
Yes. But the two ratios are abstract concepts, not physical objects. [Is there proof that pain exists?]. There are many mathematical series which, in the limit, equal pi. Two examples which are easy to remember, are:Gregory and Liebniz : 4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - .... ), and
Euler: sqrt[6*(1^-2 + 2^-2 + 3^-2 + 4^-2 ... )]
How has Pythagoras theorem impacted the fields of math and science?
Straight-line distances between points defined by coordinate in 2 or more dimensions, are measure using Pythagoras. Many applications in mathematics and science depend on the distance between objects.
Did Pythagoras discover the formula for finding the hyptenuse of a triangle?
No but traditionally it is accredited to him