n.(尤指数学)定理

原形：theorem复数：theorems

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
毕达哥拉斯定理指出，在直角三角形中，斜边（与直角相对的边）的平方等于另外两条边的平方和。
Euclid's Fifth Postulate, also known as the Parallel Postulate, is a fundamental theorem in geometry that states that through a point not on a given line, only one parallel can be drawn to that line.
欧几里得第五公理（又称平行公设），是几何学中的基本定理，它表明过不在已知直线上的点，只能画出一条与该直线平行的线。
Gauss's Law in electromagnetism states that the electric flux through any closed surface is proportional to the total charge enclosed by that surface.
在电磁学中，高斯定律表明通过任何闭合曲面的电通量与包围该表面的总电荷成正比。
Fermat's Last Theorem, proven by Andrew Wiles in 1994, states that no three positive integers a, b, and c can satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2."
费马大定理，由安德鲁·怀尔斯于1994年证明，指没有三个正整数a、b和c能满足方程a^n + b^n = c^n，对于所有大于2的整数n。
The Central Limit Theorem in statistics asserts that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
统计学中的中心极限定理指出，随着样本大小的增加，样本均值的分布趋向于正态分布，不论总体分布的形状如何。
Euler's Identity, in mathematics, states that e^(iπ) + 1 = 0, where e is the base of the natural logarithm and i is the imaginary unit.
欧拉恒等式（数学中）指出e^(iπ) + 1 = 0，其中e为自然对数的底数，i为虚数单位。
Cauchy's Integral Theorem in complex analysis states that if a function is holomorphic within and on a simple closed contour, then the integral of the function around the contour is zero.
复分析中的柯西积分定理指出，如果一个函数在简单闭合轮廓内和轮廓上是解析的，则该函数沿轮廓的积分为零。
The Banach-Tarski Paradox shows that under certain conditions, a solid ball in three-dimensional space can be decomposed into a finite number of pieces, which can then be rearranged to form two identical copies of the original ball.
巴拿赫-塔斯基悖论表明，在某些条件下，三维空间中的实心球可以被分成有限数量的部分，然后重新排列形成两个与原球完全相同的球。
The Noether's Theorem in physics states that every continuous symmetry of a physical system has a corresponding conservation law.
物理学中的诺特定理表明，物理系统的每一个连续对称性都有相应的守恒定律。
The Fundamental Theorem of Calculus connects differentiation and integration, showing that the definite integral of a function can be found by evaluating an antiderivative of that function.
微积分的基本定理将微分和积分联系起来，说明可以通过求函数的原函数来计算定积分。