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General Q&A about all branches of theoretical and applied mathematics, including closely-adjacent sciences where the central question is about the math.

401 posts RSS
Activity Age Score Random
Filters (None)
50%
+0 −0
Finding a non-trivial, rigorous definition of a "full measure" subset of a set of function spaces which satisfies the following (pt. 2)?

0 answers  ·  posted 6d ago by bharathk98‭  ·  edited 2d ago by bharathk98‭

mean functional-analysis reference-request hausdorff-dimension hausdorff-measure
50%
+0 −0
Finding a non-trivial, rigorous definition of a "full measure" subset of a set of function spaces which satisfies the following (pt. 1)?

0 answers  ·  posted 6d ago by bharathk98‭  ·  edited 2d ago by bharathk98‭

mean functional-analysis reference-request hausdorff-dimension hausdorff-measure
50%
+0 −0
Finding a non-trivial, rigorous definition of a "measure zero" subset of a set of function spaces which satisfies the following?

0 answers  ·  posted 6d ago by bharathk98‭  ·  edited 2d ago by bharathk98‭

mean functional-analysis reference-request hausdorff-dimension hausdorff-measure
50%
+0 −0
Defining a explicit function, without axiom of choice, that is not Lebesgue integrable on any interval?

1 answer  ·  posted 5d ago by bharathk98‭  ·  last activity 4d ago by bharathk98‭

definition mean hausdorff-dimension hausdorff-measure
50%
+0 −0
What is the reason this example of an everywhere surjective function have or does not have an undefined mean?

2 answers  ·  posted 6d ago by bharathk98‭  ·  last activity 5d ago by bharathk98‭

analysis functions mean hausdorff-dimension hausdorff-measure
28%
+0 −3
When does Exclusive Or, ⊕, automatically become Inclusive Or?

1 answer  ·  posted 19d ago by deleted user  ·  last activity 19d ago by Olin Lathrop‭

logic
28%
+0 −3
Though a disaster, why did “New Mathematics” assist and boost some high school students suffering from ADHD and Dyscalculia?

0 answers  ·  posted 19d ago by deleted user  ·  edited 19d ago by deleted user

high-school-mathematics
33%
+0 −2
Why did replacing algebra geometry trig ― with “more abstract topics such as sets, groups, rings, and fields” ― help students “see things faster” ?

0 answers  ·  posted 19d ago by deleted user

abstract-algebra
50%
+1 −1
What is an applicable way of averaging an everywhere surjective function whose graph has Hausdorff dimension $2$ with zero $2$-d Hausdorff measure?

0 answers  ·  posted 2mo ago by bharathk98‭  ·  edited 27d ago by bharathk98‭

probability functions sequence mean functional-analysis
30%
+1 −5
Please draw this picture to distinguish between Convex and Concave functions, featuring “bear in a conCAVE” mnemonic?

1 answer  ·  posted 2mo ago by deleted user  ·  last activity 2mo ago by Glen_b‭

visualization
50%
+1 −1
Solving 2nd order nonlinear ordinary differential equations

0 answers  ·  posted 2mo ago by cpe_abdullah‭

ordinary-differential-equations nonlinear-odes
33%
+0 −2
What explains the Inventor’s Paradox? Why can more general problems, paradoxically, be easier to solve or prove?

1 answer  ·  posted 2mo ago by deleted user  ·  last activity 2mo ago by Derek Elkins‭

proof
77%
+5 −0
Are there other topologies on $\mathbb R$ that make it a topological field?

2 answers  ·  posted 12mo ago by celtschk‭  ·  last activity 3mo ago by watchmaker‭

topology
75%
+4 −0
How many elements are present in the subset of null set ?

1 answer  ·  posted 3mo ago by Hemanth B S‭  ·  last activity 3mo ago by tommi‭

high-school-mathematics set-theory
71%
+3 −0
How to justify: for every integer $r$ in $[1, k-1]$, there is an integer $j$ in $[0, k-1]$, such that $r + j = k$

2 answers  ·  posted 3mo ago by Penelope‭  ·  last activity 3mo ago by Derek Elkins‭

number-theory
25%
+0 −4
why do lotteries require computer to generate some set of numbers, instead of letting players pick all numbers?

1 answer  ·  posted 7mo ago by RichmGreen‭  ·  last activity 4mo ago by watchmaker‭

lottery
66%
+2 −0
In this representation of surreal numbers and gaps with classes of ordinal numbers, are all gaps represented?

0 answers  ·  posted 4mo ago by celtschk‭

set-theory ordinal-numbers surreal-numbers
77%
+5 −0
What complexity implications are there from not being in an abstract family of languages?

0 answers  ·  posted 4mo ago by WheatWizard‭  ·  edited 4mo ago by WheatWizard‭

formal-language abstract-family-of-languages
75%
+4 −0
Is this a proper measure for irrationality?

1 answer  ·  posted 4mo ago by celtschk‭  ·  last activity 4mo ago by r~~‭

classification
40%
+0 −1
Papers which solve the summary of my paper involving expectations, hausdorff measure, prevelant/shy sets, partitions, samples, pathways & entropy.

1 answer  ·  posted 4mo ago by bharathk98‭  ·  last activity 4mo ago by tommi‭

analysis functional-analysis reference-request hausdorff-dimension hausdorff-measure
77%
+5 −0
Name for a graph invariant: minimal positive integer $d$ such that the graph is $d$-biclique-free

0 answers  ·  posted 4mo ago by nsajko‭  ·  edited 4mo ago by nsajko‭

nomenclature graph-theory graph-invariant undirected-graph
77%
+5 −0
Is the "mucube" homeomorphic to the loch ness monster?

1 answer  ·  posted 8mo ago by WheatWizard‭  ·  last activity 6mo ago by WheatWizard‭

topology
22%
+0 −5
Why better to buy one ticket for multiple draws, instead of multiple tickets for the same draw - in terms of variance, skewness, kurtosis?

0 answers  ·  posted 7mo ago by RichmGreen‭

lottery
72%
+6 −1
How to validate if the horizontal and vertical tangent lines exist for implicit functions?

2 answers  ·  posted 1y ago by Bennyshinichi‭  ·  last activity 8mo ago by Monica Cellio‭

calculus differentiation
66%
+2 −0
What is the unit element in the space of more-than-2 indexed tensors?

0 answers  ·  posted 8mo ago by deleted user  ·  edited 8mo ago by deleted user

tensors
60%
+1 −0
Lifting a graph "folding" to a covering space

0 answers  ·  posted 8mo ago by WheatWizard‭  ·  edited 8mo ago by WheatWizard‭

graph-theory algebraic-topology
77%
+5 −0
How to understand the distribution of a random variable constrained on a linear system of equations?

0 answers  ·  posted 10mo ago by mr Tsjolder‭

proof linear-algebra distributions
60%
+1 −0
What are the known chiral polytopes of full rank?

1 answer  ·  posted 10mo ago by WheatWizard‭  ·  last activity 10mo ago by WheatWizard‭

euclidean-geometry polytopes
57%
+2 −1
What are some introductory texts for learning acoustics modeling using FEM-BEM simulations?

0 answers  ·  posted 10mo ago by mavavilj‭  ·  edited 10mo ago by mavavilj‭

reference-request fem bem acoustics
66%
+2 −0
The effect of measurement accuracy and rounding on hypothesis testing

2 answers  ·  posted 2y ago by tommi‭  ·  last activity 11mo ago by deleted user

statistics hypothesis-testing rounding
75%
+7 −1
Probability that six random numbers between 0 and 1 are the lengths of a tetrahedron's edges

0 answers  ·  posted 1y ago by JRN‭  ·  last activity 11mo ago by deleted user

probability
77%
+5 −0
Prime factor pattern in numbers one less than a power of 2

1 answer  ·  posted 11mo ago by trichoplax‭  ·  edited 11mo ago by trichoplax‭

power pattern factoring Prime-numbers
50%
+0 −0
Does the root of the Taylor series expansion converge to the inverse of a function as the number of terms increases?

0 answers  ·  posted 1y ago by theabbie‭

limits polynomials series taylor-expansion
60%
+1 −0
Compactness of the Propositional Calculus

1 answer  ·  posted 1y ago by kouty ‭  ·  last activity 1y ago by kouty ‭

logic
75%
+4 −0
Is there an equational law satisfied by "linear kei" but not free kei?

0 answers  ·  posted 1y ago by WheatWizard‭  ·  last activity 1y ago by celtschk‭

geometry abstract-algebra
60%
+1 −0
High-Probability Lower Bound for Sums of Conditional Probabilities in IID Sequences on the Unit Sphere

2 answers  ·  posted 1y ago by Alex de Ruijter‭  ·  last activity 1y ago by Alex de Ruijter‭

probability
66%
+2 −0
Area of the surface of revolution of a Reuleaux triangle

1 answer  ·  posted 1y ago by JRN‭  ·  last activity 1y ago by JRN‭

area Reuleaux-triangle surface-of-revolution
60%
+1 −0
Volume enclosed by the surface of revolution of a Reuleaux triangle

1 answer  ·  posted 1y ago by JRN‭  ·  last activity 1y ago by JRN‭

volume Reuleaux-triangle surface-of-revolution
75%
+4 −0
How do I (efficiently) sample from the interior of a convex polytope?

0 answers  ·  posted 1y ago by purplenanite‭  ·  edited 1y ago by purplenanite‭

statistics convex-hull polytopes sampling
25%
+0 −4
Why does group play equalize a lottery's actual Expected Value to the effective Expected Value? [closed]

0 answers  ·  posted 1y ago by Nen‭  ·  closed 1y ago by Peter Taylor‭

lottery
71%
+3 −0
How to prove that solutions of semilinear differential equations is even function?

0 answers  ·  posted 1y ago by Richard‭

calculus partial-differential-equations
71%
+3 −0
Why $\gamma\cdot\operatorname{grad}u<0$ in the Theorem? (Nirenberg academic paper)

1 answer  ·  posted 1y ago by Richard‭  ·  edited 1y ago by Snoopy‭

geometry functional-analysis partial-differential-equations
40%
+0 −1
Questions regarding the Kurepa Conjecture

0 answers  ·  posted 1y ago by Math_Maven‭  ·  edited 1y ago by Math_Maven‭

number-theory soft-question reference-request factorial conjecture
66%
+2 −0
Reflection in the plane with polar coordinates

1 answer  ·  posted 1y ago by Richard‭  ·  last activity 1y ago by Richard‭

geometry coordinate-geometry linear-algebra polar
66%
+2 −0
Holomorphic function on a connected bounded open subset of the complex plane

1 answer  ·  posted 1y ago by Snoopy‭  ·  last activity 1y ago by Snoopy‭

complex-analysis
66%
+2 −0
Does the series $\sum_{n=1}^{\infty} \frac{n^n}{n!} e^{-n}$ converge?

2 answers  ·  posted 1y ago by Snoopy‭  ·  last activity 1y ago by Snoopy‭

calculus real-analysis series
60%
+1 −0
Complex functions and inner product $\langle \frac{\partial f}{\partial z} , g\rangle $

2 answers  ·  posted 1y ago by Richard‭  ·  last activity 1y ago by Richard‭

complex-analysis summation integral functional-analysis
42%
+1 −2
Search & Probability

2 answers  ·  posted 1y ago by Hudjefa‭  ·  last activity 1y ago by Olin Lathrop‭

probability
71%
+3 −0
Is there a closed formula for multiplication of imaginary units in the direct limit of the Cayley-Dickson construction?

1 answer  ·  posted 1y ago by celtschk‭  ·  last activity 1y ago by r~~‭

algebra
71%
+3 −0
Find the value of $\sum_{k=1}^\infty\frac{k^2}{k!}$

3 answers  ·  posted 1y ago by Snoopy‭  ·  last activity 1y ago by Derek Elkins‭

complex-analysis real-analysis series
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