Participate in expert discussion on topology and analysis topics. This includes point-set topology, Real, complex, harmonic and functional analysis. Also measure and integration theory.
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Graduate Why is the flat torus everywhere smooth and differentiable?
- Jimster41
- · Replies 21 ·
Graduate Proving that √2 exists using the supremum definition
- strobeda
- · Replies 8 ·
Graduate Evaluating a limit of a function of two variables
- Cristopher
- · Replies 1 ·
Example of right upper semicontinuous function
- ozkan12
- · Replies 1 ·
How can the complex exponential product be proven for all real p and m?
- Greg
- · Replies 1 ·
Graduate Understanding // in the Hint for Showing Numbers of Form ±m√2/n Are Dense
- strobeda
- · Replies 2 ·
Graduate Transversal Intersection of More than 2 Surfaces
- WWGD
- · Replies 1 ·
Example of a contractive map with a fixed point
- ozkan12
- · Replies 2 ·
Graduate Basic questions on Nakahra's definition of topological space
- mjordan2nd
- · Replies 8 ·
Graduate Smallest subspace of a vector space
- strobeda
- · Replies 7 ·
Why is the contraction constant important in the Banach contraction principle?
- ozkan12
- · Replies 4 ·
What Is the Relation Between \( x(n) \) and \( X(f) \) Given \( f = kn \)?
- maysam1
- · Replies 4 ·
What is the relationship between $f$ and $X$?
- ozkan12
- · Replies 9 ·
Can uniform convergence be proven by extending to [0,1]?
- bw0young0math
- · Replies 1 ·
Graduate General Understanding of Terms [ Complex Analysis ]
- RJLiberator
- · Replies 6 ·
Contraction and contractive mapping
- ozkan12
- · Replies 4 ·
Graduate Divergence theorem on non compact sets of R3
- Lebesgue
- · Replies 1 ·
Graduate Defining Integrals over R^R, R^N
- WWGD
- · Replies 0 ·
Graduate Finding Branch Points and Branches for Complex Functions
- iAlexN
- · Replies 17 ·
Graduate How Can I Maximize a Functional with a Bounded Integral Constraint?
- saminator910
- · Replies 14 ·
Limit of upper semicontinuous function
- ozkan12
- · Replies 1 ·
Decreasing nonnegative sequence and nonincreasing functions
- ozkan12
- · Replies 4 ·
Graduate Why topology on a set is defined the way it is?
- Ahmed Abdullah
- · Replies 3 ·
Graduate Pochhammer contour over normal Riemann surface?
- jackmell
- · Replies 2 ·
Meaning of Cosx - Contraction, Contractive, Nonexpansive or Lipschtzian?
- ozkan12
- · Replies 2 ·
Does This Lemma Prove All Continuous Functions Orthogonal to $C^2$ Are Zero?
- evinda
- · Replies 1 ·
Does limsup equal the limit for upper semicontinuous functions?
- ozkan12
- · Replies 1 ·
Undergrad Why Does Setting m=0 Matter in Calculating Complex Numbers?
- ahmed markhoos
- · Replies 1 ·
Graduate Series and product development (Ahlfors)
- gianeshwar
- · Replies 9 ·
Finding Complete Orthogonal Systems for Boundary Value Problems
- evinda
- · Replies 7 ·
Fixed Point Theory: Lipschitz or Contraction?
- ozkan12
- · Replies 4 ·
Graduate Conformal map from x-axis to trochoid boundary
- stedwards
- · Replies 15 ·
Graduate Composition of a function with itself
- Andre' Quanta
- · Replies 19 ·
Graduate What kind of local topological "particles" can you get in R3?
- nuclearhead
- · Replies 1 ·
Undergrad What does it mean for a point to be a limit in calculus?
- Blue and green
- · Replies 7 ·
Can Linear Integral Operators Be Combined to Prove a Trivial Inequality?
- sarrah1
- · Replies 2 ·
Graduate Which sequence acceleration method should I use?
- japplepie
- · Replies 1 ·
Undergrad Vector Space Basis: Clarifying Linear Independence
- bugatti79
- · Replies 5 ·
Graduate Where to Find Challenging Complex Analysis Problems Online?
- lizzie96'
- · Replies 3 ·
Can we get to the desired relation?
- evinda
- · Replies 1 ·
How to find the radius of convergence of the exponential series
- evinda
- · Replies 17 ·
Prove Euler's Equation for Functional $J(y)$
- evinda
- · Replies 8 ·
Why do we deduce that the functional is continuous in respect to the other norm?
- evinda
- · Replies 8 ·
Finding a5 in an+1 Sequence Using a4 and 1/2
- brunette15
- · Replies 7 ·
Graduate How do I prove the existence of this norm?
- zarei175
- · Replies 2 ·
Graduate Derivatives and Linear transformations
- raghad
- · Replies 12 ·
Graduate Why does non-uniform continuity require sequences violating the epsilon-delta condition?
- Coffee_
- · Replies 12 ·
Graduate Convergence of the sequence from Heron's method.
- Coffee_
- · Replies 6 ·
Graduate How to know which surface represents equation Q (x,y,z) =0?
- starterYEAR
- · Replies 2 ·
Solving Linear Integral Equation: Norm of Resolvent
- sarrah1
- · Replies 2 ·
Graduate Can We Determine a Complex Function from Its Poles Alone?
- gonadas91
- · Replies 8 ·
Graduate Can't understand a detail in paracompactness->normality
- kostas230
- · Replies 3 ·
Graduate Sensitivity to initial conditions
- Zafa Pi
- · Replies 2 ·
Undergrad High Resolution Upper Division Undergrad Math lecture videos
- Blue and green
- · Replies 1 ·
What does this numerical analysis project assignment ask?
- mathisorange
- · Replies 1 ·
Graduate Regarding the complex solutions of a torus
- Philip
- · Replies 5 ·
Undergrad Complex analysis book recommendation for electrical engineering
- etf
- · Replies 4 ·
Legendre Polynomial and Legendre Equation
- Fantini
- · Replies 1 ·
Absolute Value of Complex Integral
- kalish1
- · Replies 1 ·
Graduate Completely regular space and the Dirac measure
- friend
- · Replies 10 ·
Image of the upper half complex plane, under the function g(z) = exp(2 \pi i z).
- kalish1
- · Replies 1 ·
Graduate Complex Analysis: Use of Cauchy
- nateHI
- · Replies 1 ·
Is the Triangle Inequality Applicable to Norms of Integral Operators?
- sarrah1
- · Replies 1 ·
Does the Series \(\sum_{n=1}^{\infty} \frac{5+n \cos n}{n^2+2^n}\) Converge?
- maxkor
- · Replies 3 ·
Graduate Complex Analysis: Contour Integral
- nateHI
- · Replies 2 ·
Graduate Complex analysis and vector fields
- Coffee_
- · Replies 5 ·
Graduate Finding a conformal mapping from a sector to a half-disk
- diorific
- · Replies 2 ·
Graduate Four types of discontinuity theorem clarification
- sonofagun
- · Replies 10 ·
Graduate Multiplication of Path Classes and the Fundamental Group
- Math Amateur
- · Replies 2 ·
Graduate Covering Maps and Liftings - Munkres Theorem 54.4
- Math Amateur
- · Replies 2 ·
Graduate Torus - Singh, Example 2.2.5 - Baffled by certain aspects
- Math Amateur
- · Replies 6 ·
Continuity of Royden-Fitzpatrick's function on countable complements
- kalish1
- · Replies 1 ·
Graduate Integrals of the function f(z) = e^(1/z) (complex analysis)
- Matt100
- · Replies 4 ·
Finding square roots of complex numbers in polar form
- Milly
- · Replies 1 ·
Graduate 2nd order pole while computing residue in a complex integral
- Karthiksrao
- · Replies 1 ·
Graduate Is f(z) = e^(z^2) for all z in C?
- Matt100
- · Replies 1 ·
Graduate Path dependence (Complex Analysis)
- Matt100
- · Replies 1 ·
Graduate Proving the Hessian is semidefinite at a minimum using Taylor expansion
- Coffee_
- · Replies 6 ·
Graduate Legendre polynomials in the reverse direction
- ognik
- · Replies 2 ·
When Does the Norm of the Sum Equal the Sum of Norms for Integral Operators?
- sarrah1
- · Replies 5 ·
Is f Integrable and What Is the Limit of the Riemann Sum?
- skippenmydesig
- · Replies 1 ·
High School What Determines the Real and Imaginary Parts of a Complex Number?
- Sampad Saha
- · Replies 4 ·
Convergence of ∫₀^∞ (x^(2/3) + (2/3)ln x)/(1+x²) dx
- maxkor
- · Replies 1 ·
Convergence of ∫ -ln[1/a x^(2/(a-1)) e^(-x^(2/a))]/(1+x²) dx
- maxkor
- · Replies 1 ·
Undergrad List of ways to highly accurately solving a mixed equation
- Philosophaie
- · Replies 2 ·
Graduate Examples of 2-manifold homotopic but not homeomorphic
- jk22
- · Replies 52 ·
Graduate What Is the Standard Name for This Theorem About Meromorphic Functions?
- nateHI
- · Replies 7 ·
Graduate What is meant when $\sigma$ is said to be discriminatory?
- jamesb1
- · Replies 5 ·
Norm of a linear integral operator
- sarrah1
- · Replies 12 ·
Undergrad An Interesting Complex Number Problem
- Mkbul
- · Replies 3 ·
Finding an Infinite Binary Sequence with Average Frequency of 1's = p
- caffeinemachine
- · Replies 1 ·
Graduate How Can a Positive Increasing Function Minimize a Cosine-Squared Integral?
- dirk_mec1
- · Replies 10 ·
Graduate How Can We Quantify the Concept of 'Sameness' in Mathematics?
- jeffery_winkle
- · Replies 1 ·
Working with Piecewise Functions
- Enzipino
- · Replies 1 ·
Graduate Solve Gamelin's XIII.3 15: Infinite Product Meromorphicity
- xiavatar
- · Replies 8 ·
Showing that equality of complex numbers implies that they lie on the same ray
- kalish1
- · Replies 1 ·
Uniform convergence of a complex power series on a compact set
- kalish1
- · Replies 1 ·
Graduate Why does |e^z| = e^x when z = x + iy?
- EternusVia
- · Replies 8 ·
Mobius transformation satisfying certain properties
- kalish1
- · Replies 1 ·
Graduate How can I evaluate this infinite exponential series using a method I can learn?
- ShayanJ
- · Replies 1 ·