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Select the one true statement. Consider a C function f: R" → R and two multi-indices a,

Select the one true statement. Consider a C function f: R" → R and two multi-indices a,

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Select the one true statement. Consider a C∞ function f: R" → R and two multi-indices a, ß € N". If |a| = |B, then gº f = 8³ f. Consider a C∞ function f: R" → R and two multi-indices a, ß € N". If a! = 3!, then 8° f = 8³ f. O Any polynomial of any number of variables is of class C¹k for any k € N+. O For any polynomial p of any number of variables, there is a multi-index a such that 8p is not continuous.
Transcribed Image Text:Select the one true statement. Consider a C∞ function f: R" → R and two multi-indices a, ß € N". If |a| = |B, then gº f = 8³ f. Consider a C∞ function f: R" → R and two multi-indices a, ß € N". If a! = 3!, then 8° f = 8³ f. O Any polynomial of any number of variables is of class C¹k for any k € N+. O For any polynomial p of any number of variables, there is a multi-index a such that 8p is not continuous.
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