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If $f$ is odd and periodic then a translation of $f$ is even?

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#real-analysis #periodic-functions #even-and-odd-functions
213
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If $\int_{-1}^1 fg = 0$ for all even functions $f$, is $g$ necessarily odd?

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#calculus #integration #definite-integrals #even-and-odd-functions
127
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Evaluating $\int_{-a}^a x^{2n+1}\mathrm{d}x$ for all non-negative integers $n$ simultaneously

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#calculus #integration #even-and-odd-functions
59
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Evaluate the Improper Integral(help)

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#integration #improper-integrals #even-and-odd-functions
111
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Question about whether function is odd or even

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#functions #discrete-mathematics #solution-verification #even-and-odd-functions
356
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Prove that function is odd, without the explicit function

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#algebra-precalculus #even-and-odd-functions
377
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Extend piecewise function with both pieces constant to even function

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#real-analysis #piecewise-continuity #even-and-odd-functions
1.5k
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Is $x^3+1$ considered even or an odd function?

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#algebra-precalculus #functions #even-and-odd-functions
66
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Show that if d0 is even, then n is even

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#even-and-odd-functions
248
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Do functions over a ring have an odd and an even part?

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#abstract-algebra #ring-theory #even-and-odd-functions
276
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Why is the decomposition of a function into odd and even parts interesting?

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#functions #soft-question #even-and-odd-functions
98
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Question on even, odd complex valued function

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#complex-analysis #even-and-odd-functions
45
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Integrate without using the property that the function is odd

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#integration #statistics #definite-integrals #beta-function #even-and-odd-functions
87
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Arranging numbers along lines

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#combinatorics #discrete-mathematics #even-and-odd-functions
72
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How to find constant $a$ and real function $f$ such that: $\Im f(a+ix)=\ln(x)$

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#real-analysis #complex-analysis #even-and-odd-functions

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