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How can a count if else statement be written as a mathematical formula?

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#combinatorics #probability-theory #piecewise-continuity
332
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Piecewise analytic function

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#analytic-functions #smooth-functions #piecewise-continuity
494
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Finding the coefficients of a piecewise linear function in a different basis

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#numerical-methods #neural-networks #piecewise-continuity
256
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Are there any non-analytic smooth functions that aren't piecewise or dependent on infinite sums?

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#analytic-functions #smooth-functions #piecewise-continuity
66
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I'd like a non-piecewise function, like $\sin(x)$, but with flattened constant wave above the $x$-axis and higher frequency waves below the $x$-axis

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#trigonometry #piecewise-continuity
215
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Calculating convolution of two piecewise functions

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#calculus #definite-integrals #convolution #signal-processing #piecewise-continuity
117
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Maximization on the sum of the maximum of piecewise, continuous, and concavely increasing functions.

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#optimization #nonlinear-optimization #piecewise-continuity
25
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I could use some direction or help to see if I am on the right path for this problem.

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#piecewise-continuity #steady-state #partial-differential-equations
126
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Piecewise linear spheres

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#algebraic-topology #homology-cohomology #characteristic-classes #piecewise-continuity
84
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Analysing continuity of piecewise function.

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#limits #multivariable-calculus #piecewise-continuity
39
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Piecewise Laplace transformation

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#calculus #laplace-transform #piecewise-continuity
41
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Why does piecewise continuity imply function is nonzero in some interval?

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#solution-verification #piecewise-continuity
58
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Is this integration by parts allowed?

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#integration #piecewise-continuity #divergent-integrals
120
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Proving continuity of a piecewise function.

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#real-analysis #continuity #piecewise-continuity
52
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There exist a point $ c \in [a,b]$ such that $f(c)= \frac{f(x_{1})+f(x_{2})+...+f(x_{n})}{n}$.

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#real-analysis #continuity #real-numbers #uniform-continuity #piecewise-continuity

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