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Taylor Series & Taylor Polynomials definitions
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Sequence
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Sequence
An ordered list of numbers generated by a specific formula, where each entry corresponds to a particular value of an index.
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이 집합의 용어 (15)
하이드의 정의
Sequence
An ordered list of numbers generated by a specific formula, where each entry corresponds to a particular value of an index.
Term
A single entry in an ordered list, calculated by substituting a specific index value into a given formula.
Index
A variable, often denoted by n, that identifies the position of an entry within an ordered list.
Factorial
A product of all positive integers up to a given number, with zero yielding a value of one by definition.
Zero Factorial
A special case in products of consecutive integers, defined to have a value of one.
Formula
A mathematical expression used to generate each entry in an ordered list based on the index.
Substitution
The process of replacing a variable in an expression with a specific value to compute a result.
Product
A result obtained by multiplying two or more numbers or expressions together.
Square
A value obtained by multiplying a number by itself, often seen in expressions like n squared.
Calculation
A step-by-step process of simplifying expressions to obtain numerical results for each entry.
Expression
A combination of numbers, variables, and operations that represents a mathematical relationship.
Natural Number
A positive integer used as an index in ordered lists, typically starting from one.
Ordered List
A collection of numbers arranged in a specific sequence, each associated with a unique position.
Pattern
A recognizable regularity in the arrangement or values of entries within an ordered list.
Simplification
The process of reducing a mathematical expression to its most basic numerical form.