How to find a circle given a segment?
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How to find a circle given a segment?

In this page, we get mathematical formulas for calculating the area of a circle segment under a few different conditions, if you already know the radius o...

Published: Aug 12, 2026

Continuous differentiability implies Lipschitz continuity
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Continuous differentiability implies Lipschitz continuity

Here's a statement in Zygmund's Measure and Integral on page 17: If $f$ has a continuous derivative on $[a,b]$, then (by the mean-value theorem)...

Published: Aug 12, 2026

Equipotent Sets
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Equipotent Sets

We know by definition that if a bijection between two sets A and B exists,then A and B are equivalent.The book I was reading took the function f:Z→N f(x)=...

Published: Aug 12, 2026

Difference between Direction cosine matrix (DCM) and rotation matrix
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Difference between Direction cosine matrix (DCM) and rotation matrix

I am a bit confused about the difference between direction cosine matrix(DCM) and rotation matrix. I have searched through the literature but found no exp...

Published: Aug 12, 2026

Definition of Suspension (Topology).
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Definition of Suspension (Topology).

I am a bit confused with the definition of a suspension. This the definition. For a space $X$, denote $SX$ the suspension of $X$ in which this is the quot...

Published: Aug 12, 2026

what is f prime?
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what is f prime?

currently taking Measure and Integration course, which seems to have a different definition of f'. traditionally, $$f'(x)=\lim_{h\to 0} \frac{f(x...

Published: Aug 12, 2026

Points in general position
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Points in general position

I'm really confused by the definition of general position at wikipedia. I understand that the set of points/vectors in $\mathbb R^d$ is in general po...

Published: Aug 12, 2026

Domain and Range of a sequence
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Domain and Range of a sequence

A sequence X is define as numbers smaller than 10 that are divisible by 2 and a natural number. What are the domain and ranges? I assume that the domain a...

Published: Aug 12, 2026

chain rule using tree diagram, why does it work?
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chain rule using tree diagram, why does it work?

In multivariable calculus, I was taught to compute the chain rule by drawing a "tree diagram" (a directed acyclic graph) representing the dependence of on...

Published: Aug 12, 2026

Help with proof of expected value of gamma distribution
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Help with proof of expected value of gamma distribution

I am struggling with this proof of the expected value for the gamma distribution. I need help with the step indicated by the red arrow. Could someone plea...

Published: Aug 12, 2026

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