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.
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.
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.
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.
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.
De Moivre's Theorem is a formula that is used to calculate the power of complex numbers. The formula of the theorem states that any real number x and any integer n that (cosx + isinx) to the nth power would equal cos (nx) + isin(nx).
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
The Thomas theorem of sociology states "If men define situations as real, they are real in their consequences," according to the Blackwell Encyclopedia of Sociology Online. The objective reality of a situation doesn't matter as much as someone's perception of what someone believes is happening. Soci
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.
The fundamental theorem for line integrals states that if a line integral passes through a gradient field, it can be evaluated by evaluating the endpoints of the curve in the initial scalar field. If a smooth curve C exists and a function with a gradient vector is continuous on curve C, then the lin