a finite sequence of well-defined, mathematical instructions for completing a specific task or solving a problem
算法, 计算程序
a measure of the dispersion or spread of a set of data points in statistics, representing the average squared deviation from the mean
方差
the rate at which a function changes with respect to its independent variable, representing the slope of the tangent line to the function's graph
导数
a mathematical concept representing the total accumulation of a quantity, often represented by the area under a curve on a graph
积分, 积分计算
the value that a function or sequence approaches as its input or index gets close to a particular value
极限
a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances
灾变理论, 灾难理论
a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number
对数
a natural number greater than 1 that has no positive divisors other than 1 and itself
质数, 素数
an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering
向量
a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system
定理
(mathematics) a rearrangement of a set of elements in a specific order or sequence
排列
a special number used in linear algebra to describe how vectors change during transformations
特征值
a branch of mathematics that deals with the study of sets, which are collections of distinct objects, and their properties, relationships, and operations
集合论, 数学集合论
a mathematical expression with variables raised to powers and combined using arithmetic operations
多项式
a mathematical operation that calculates the accumulation of quantities, represented as the area under a curve on a graph
积分, 积分运算
a mathematical operation that combines two matrices to produce a new matrix, calculated by multiplying rows and columns
矩阵乘法, 矩阵的乘积