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What is the Pythagorean theorem?
What is the central limit theorem in probability theory?
What is Rolle's theorem?
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Jun 23, 2024 · The Fundamental Theorem of Calculus, Part 2 (also known as the evaluation theorem) states that if we can find an antiderivative for the integrand, then we can evaluate the definite integral by evaluating the antiderivative at the endpoints of the interval and subtracting.
Jun 27, 2024 · The Pythagorean theorem, which explains how to calculate the longest side of a right-angled triangle, is an ancient mathematical statement that still buttresses modern-day construction, aviation and even how we navigate through traffic.
3 days ago · Rolle's theorem is one of the foundational theorems in differential calculus. It is a special case of, and in fact is equivalent to, the mean value theorem, which in turn is an essential ingredient in the proof of the fundamental theorem of calculus.
3 days ago · The central limit theorem is a theorem about independent random variables, which says roughly that the probability distribution of the average of independent random variables will converge to a normal distribution, as the number of observations increases.
3 days ago · In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution.
Jun 8, 2024 · The Pythagorean Theorem, also known as Pythagoras theorem is a mathematical relation between the 3 sides of a right triangle, a triangle in which one of 3 angles is 90°. It was discovered and named after the Greek philosopher and mathematician of Samos, Pythagoras.
2 days ago · Stokes' theorem is a generalization of Green’s theorem to higher dimensions. While Green's theorem equates a two-dimensional area integral with a corresponding line integral, Stokes' theorem takes an integral over an \( n \)-dimensional area and reduces it to an integral over an \( (n-1) \)-dimensional boundary, including the 1-dimensional ...
