differential operator
Word Rarity
Rare
Frequency: Zipf frequency 3.71 in modern English
29
Scrabble Score
20
Letters
8
Syllables
11
Unique Chars
Meaning
noun
An operator defined as a function of the differentiation operator (the operator which maps functions to their derivatives).
Example Sentences
- "Define P(D) to be the differential operator given by P(D)#61;D²#43;5D#43;6, where D is the differentiation operator. Then P(D)(#92;sin(x))#61;-#92;sin(x)#43;5#92;cos(x)#43;6."
- "[…]these conditions appeared in the very first papers on ordinary differential operators."
- "A differential operator P#92;left(D#92;right) is hypoelliptic if for any domain ⊂ #92;mathbb#123;R#125;ⁿ any solution u of the equation P#92;left(D#92;right)u#61;0 from the class #92;mathfrak#123;D#125;'#92;left(#92;Omega#92;right) is a function from C#92;infty(ω) for any open set ω ⊂⊂ #92;Omega. A complete algebraic description of all hypoelliptic differential operators has been obtained by Hörmander in [H1]."
- "Secondly, differential operators and to some extent their fundamental solutions are local even with respect to the wave front set."
Inflected Forms
Phrases
partial differential operator
pseudodifferential operator
Frequently Paired Words
partial differential operator
pseudodifferential operator