What does linear operator mean?
Definitions for linear operator
lin·ear op·er·a·tor
This dictionary definitions page includes all the possible meanings, example usage and translations of the word linear operator.
Princeton's WordNet
linear operatornoun
an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)
Wiktionary
linear operatornoun
An operator L such that for functions f and g and scalar u03BB, L (f + g) = L f + L g and L u03BBf = u03BB L f.
ChatGPT
linear operator
A linear operator is a type of mathematical function which preserves the operations of addition and scalar multiplication used in vector spaces. It is defined by the properties that for any vectors x, y and any scalar c: (1) the operator of the sum of x and y equals the sum of the operator of x and the operator of y, and (2) the operator of the scalar product of c and x equals the product of c and the operator of x. These two properties embody the concepts of 'linearity'. Linear operators are fundamental in many areas of mathematics including algebra, calculus and differential equations.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of linear operator in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of linear operator in Pythagorean Numerology is: 5
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"linear operator." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/linear+operator>.
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