- 勾股定理 gōugǔdìnglǐ Pythagorean theoremthe math rule stating that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides
- 逆定理 nìdìnglǐ converse theorema mathematical theorem formed by swapping the condition and the conclusion of an existing theorem
- 中值定理 zhōngzhídìnglǐ mean value theoremA mathematical theorem in calculus, including both the differential and integral forms, used to calculate average rates or values.
- 代数基本定理 dàishùjīběndìnglǐ fundamental theorem of algebrafundamental theorem of algebra; the mathematical theorem stating that every non-constant single-variable polynomial with complex coefficients has at least one complex root
- 代数学基本定理 dàishùxuéjīběndìnglǐ fundamental theorem of algebrathe theorem stating that every non-constant single-variable polynomial with complex coefficients has at least one complex root
- 余数定理 yúshùdìnglǐ Remainder TheoremThe mathematical theorem stating that the remainder of the division of a polynomial by a linear factor is equal to the value of the polynomial at that point.
- 剩余定理 shèngyúdìnglǐ Polynomial Remainder Theorema theorem in algebra stating that the remainder of the division of a polynomial by a linear invariant is equal to the value of the polynomial evaluated at that point
- 均值定理 jūnzhídìnglǐ mean value theoremmean value theorem, a fundamental theorem in calculus relating the change in a function to its derivative
- 基本定理 jīběndìnglǐ fundamental theoremfundamental theorem; a core principle or theorem that serves as a foundation for a branch of mathematics
- 孙子定理 sūnzidìnglǐ Chinese remainder theoremthe Chinese remainder theorem in number theory
- 平均值定理 píngjūnzhídìnglǐ mean value theoremthe mean value theorem in calculus
- 微积分基本定理 wēijīfēnjīběndìnglǐ fundamental theorem of calculusthe fundamental theorem of calculus, which links the concept of differentiating a function with the concept of integrating a function
- 正弦定理 zhèngxiándìnglǐ law of sinesthe law of sines in trigonometry
- 罗尔定理 luó'ěrdìnglǐ Rolle's theoremRolle's theorem, a fundamental result in calculus
- 费马大定理 fèimǎdàdìnglǐ Fermat's Last Theorem(math) Fermat's Last Theorem
- 零点定理 língdiǎndìnglǐ Hilbert's Nullstellensatz(math) Hilbert's zeros theorem; also known as Nullstellensatz
- 不动点定理 bùdòngdiǎndìnglǐ fixed-point theorema theorem in mathematics stating that a function will have at least one point which is mapped to itself
- 黎曼罗赫定理 límànluóhèdìnglǐ Riemann-Roch theoremA theorem in mathematics that relates the complex analysis of a connected compact Riemann surface to the surface's topological genus
- 中国剩余定理 zhōngguóshèngyúdìnglǐ Chinese remainder theoremChinese remainder theorem; a theorem in number theory regarding the solution to a system of linear congruences.
- 二项式定理 èrxiàngshìdìnglǐ binomial theoremthe binomial theorem in mathematics
- 介值定理 jièzhídìnglǐ intermediate value theoremthe intermediate value theorem in mathematics; a theorem stating that for a continuous function defined on a closed interval, the function takes on every value between its values at the endpoints of the interval