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Show $A(x) = \int_{0}^{x}f(t)dt$ is convex if $f(x)$ is increasing.

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#calculus #functions
62
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For any two functions f and g defined as f (x, y )= (x+1,y+3) and g (x,y)=(x-3,y-2) show that the following statement is true or false.

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#multivariable-calculus #functions
322
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Question on how to define the principle branch of the complex root function

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#functions
510
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Show that $f$ is a constant function.

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#functions #proof-verification
32
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Predicting actions: cancelling exponents for $n$ raises to a power

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#functions #exponentiation #machine-learning
273
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Continuous function in compact sets - Real analysis

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#real-analysis #functions #continuity #compactness
311
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Solving two logarithmic questions: (image attached)

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#calculus #algebra-precalculus #functions #logarithms #exponential-function
96
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Pseudo-Boolean function vs Boolean function

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#functions #terminology
119
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Cancellation law for forward and backward images

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#functions #elementary-set-theory #proof-verification #proof-writing
71
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Let $f: \mathbb R\to \mathbb R$ be a continuous function. Which of the following are sufficient conditions for $f$ to have a fixed point in $[0, 1]$?

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#functions #continuity #fixed-point-theorems
271
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A slogan of Alain Connes about continuous variables vs discrete.

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#real-analysis #probability-theory #functions
80
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Analytical function of a matrix - equivalence of the definitions

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#matrices #functions
711
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Continued fraction of a sequence is unique

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#functions #continued-fractions
127
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Kinematic meaning of this mean value theorem?

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#real-analysis #functions #differential-geometry #kinematics
42
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2 logarithmic questions: Two inequalities and one inverse related

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#algebra-precalculus #functions #logarithms #exponential-function #inverse

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