4.1 无穷级数的定义(Definition of Infinite Series) 微积分是人类智慧最伟大的成就之一,它以函数为研究对象,以极限为理论基础,微分是‘无限细分’,积分是‘无限求和’.而无限就是极限。 微分和积分的思想早在古代就已经产生了,古希腊的数学家阿基米德的著作中就已含
The meaning of INFINITE SERIES is an endless succession of terms or of factors proceeding according to some mathematical law.
1.the quality or state of being infinite. 2.something that is infinite. 3.infinite space, time, or quantity. 4.an infinite extent, amount, or number. 5.an indefinitely great amount or number. 6.Math. a.the assumed limit of a sequence, series, etc., that increases without bound. ...
Why are Infinite Series Useful? Infinite Arithmetic Series Infinite Geometric Series See also: Sum of a Convergent Geometric Series. What is an Infinite Sequence? An Infinite Sequence (sometimes just called a sequence) is a function with a domain of all positive integers. In beginning calculus, ...
the hall opened into a series of small rooms b : a set of regularly presented television programs each of which is complete in itself 2 : the indicated sum of a usually infinite sequence of numbers 3 a : the coins or currency of a particular country and period b : a group of...
2. extremely or immeasurably great or numerous: infinite wealth. 3. all-embracing, absolute, or total: God's infinite wisdom. 4. (Mathematics) maths a. having an unlimited number of digits, factors, terms, members, etc: an infinite series. b. (of a set) able to be put in a ...
A more direct use of infinity in mathematics arises with efforts to compare the sizes ofinfinite sets, such as thesetof points on a line (real numbers) or the set of counting numbers. Mathematicians are quickly struck by the fact that ordinaryintuitionsabout numbers are misleading when talking...
Illustrated definition of Infinite Series: The sum of infinite terms that follow a rule. Example: 12 14 18 116 ... 1 (Can also be just...
Trigonometric series definition: an infinite series involving sines and cosines of increasing integral multiples of a variable.. See examples of TRIGONOMETRIC SERIES used in a sentence.
First recorded in1645–55;fromNew Latininfīnītēsim(us),equivalent toLatininfīnīt(us)infinite+-ēsimussuffix of ordinal numerals +-al1 Discover More Example Sentences He studies the infinitesimal fluctuations of light from space in hopes of locating alien planets capable of supporting life. ...