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doc(undergrad/overview): add test functions and distributions (#32707)
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docs/overview.yaml

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@@ -373,7 +373,9 @@ Analysis:
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First Main Theorem of Value Distribution Theory: 'ValueDistribution.characteristic_sub_characteristic_inv_le'
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Distribution theory:
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Test functions: 'TestFunction'
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Schwartz space: 'SchwartzMap'
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Distributions: 'Distribution'
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Fourier analysis:
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Fourier transform as an integral: 'Real.fourier_eq'

docs/undergrad.yaml

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@@ -586,13 +586,13 @@ Probability Theory:
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# 12.
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Distribution calculus:
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Spaces $\mathcal{D}(\R^d)$:
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smooth functions with compact support on $\R^d$: ''
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smooth functions with compact support on $\R^d$: 'TestFunction'
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stability by derivation: ''
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stability by multiplication by a smooth function: ''
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partitions of unity: ''
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constructing approximations of probability density functions in spaces of common functions (trig, exp, rational, log, etc): ''
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Distributions on $\R^d$:
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definition of distributions: ''
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definition of distributions: 'Distribution'
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locally integrable functions as distributions: ''
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derivative of a distribution: ''
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Dirac measures: ''

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