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Is $f(x,y)=x^{xy}$ continuous for positive $x$ and real $y$?

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#continuity #multivalued-functions
1.6k
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Square Root as a multi-valued function

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#radicals #multivalued-functions
432
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Determine extrema of a multivariate function defined on a set

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#multivariable-calculus #derivatives #multivalued-functions
105
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Hemicontinuous compact-valued mapping on $\mathbb{R}$ with no continous selection

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#real-analysis #general-topology #examples-counterexamples #descriptive-set-theory #multivalued-functions
547
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Implicit change of path of contour integral

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#complex-analysis #contour-integration #multivalued-functions
294
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question about the product of continuous functions

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#multivariable-calculus #continuity #multivalued-functions
41
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Create a mathematical model based on some heuristics

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#mathematical-modeling #multivalued-functions
145
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Logarithmic Complex Line Integral

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#logarithms #complex-integration #line-integrals #multivalued-functions
42
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usc multivalued operator

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#functional-analysis #operator-theory #multivalued-functions
42
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Factorization of a (Simple) Multi-Variate Polynomial over a Finite Field

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#polynomials #finite-fields #multivalued-functions
6.3k
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Is $\log(z^2)=2\log(z)$ if $\text{Log}(z_1 z_2)\ne \text{Log}(z_1)+\text{Log}(z_2)$?

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#complex-analysis #logarithms #multivalued-functions
74
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Parametrisation of surfaces

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#analysis #multivariable-calculus #surfaces #parametrization #multivalued-functions
190
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Difference between the notions of Real multivariate function and Scalar field and also between Vector multivariate function and Vector field

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#terminology #definition #vector-fields #multivalued-functions #scalar-fields
109
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Multivariate Caluclus, harmonic, Divergence Theorem, Flux

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#calculus #real-analysis #multivariable-calculus #divergence-operator #multivalued-functions
61
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Trace of matrix logarithm for two invertible matrices

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#linear-algebra #matrices #complex-analysis #matrix-equations #multivalued-functions

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