www.reference.com/world-view/definition-chebyshev-s-theorem-c7c8171610ba6b69

Chebyshev's theorem, or inequality, states that for any given data sample, the proportion of observations is at least (1-(1/k2)), where k equals the "within number" divided by the standard deviation. For this to work, k must equal at least 1. This theorem provides a way to know what percentage of da

www.reference.com/article/comparison-theorem-aed1c536f1a96250

A comparison theorem is a test of whether or not a mathematical object satisfies a set of predetermined properties. In calculus, a comparison can test if an integral is convergent or divergent. It is useful when one is not concerned with the actual value of an integral.

www.reference.com/science/work-energy-theorem-2087be58312a775e

The work-energy theorem is a generalized description of motion that states that the work done by the sum of all forces acting on an object is equal to the change in that object's kinetic energy. This principle of work and its relationship to kinetic energy is a core mechanical physics concept.

www.reference.com/article/base-angle-theorem-1c3b090738c3bb

The base angle theorem says if two sides of a triangle are congruent, then the angles opposite those sides must also be congruent. The converse is also true. If two angles of a triangle are congruent, then the opposite sides must be also be congruent.

www.reference.com/world-view/linear-pair-theorem-6304ea90e351ab43

A linear pair of angles is always supplementary. This means that the sum of the angles of a linear pair is always 180 degrees. This is called the linear pair theorem.

www.reference.com/article/examples-squeeze-theorem-c15bb6368337b4d0

Examples of the squeeze theorem, g(x) ? f(x) ? h(x), show that if f(x) is always greater than g(x) and if f(x) is always less than h(x), then when g(x) is equal to h(x), f(x) must also be equal. Since f(x) always squeezes between g(x) and h(x), it must be equal when g(x) and h(x) are equal.

www.reference.com/world-view/pythagorean-theorem-important-b747153a917d5df9

The Pythagorean theorem forms the basis of trigonometry and, when applied to arithmetic, it connects the fields of algebra and geometry, according to Mathematica.ludibunda.ch. It has been applied to real-world problems since at least 1500 B.C., when it was used by the ancient Babylonians to accurate

www.reference.com/article/parallel-axis-theorem-f5d161c23062e0db

The parallel axis theorem states that the "moment of inertia of any object about an axis through its center of mass is the minimum moment of inertia for an axis in that direction in space," according to HyperPhysics. It is also know as Steiner's theorem.

www.reference.com/article/apply-30-60-90-triangle-theorem-f2f0138b53f4e9f8

The lengths of the sides of a 30-60-90 triangle always exist in the proportional pattern 1:2:sqrt 3. The shorter side is half as long as the hypotenuse, and the length of the longer side is found by multiplying the length of the shorter side by the square root of three. Knowing this pattern makes it

www.reference.com/world-view/midpoint-theorem-dbc032c7e6c7b2f1

The midpoint theorem is a theory used in coordinate geometry that states that the midpoint of a line segment is the average of its endpoints. Solving an equation using this method requires that both the x and y coordinates are known. This theorem can also be used in algebra and calculus.