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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.
Graduate Multivariate piecewise fxn continuity and partial derivative
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Graduate Metric Transformations: Explained with Diagrams
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MHB Real Analysis Help: Metric Spaces
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Graduate Piecewise Linear Programming with Multiple Functions
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Graduate Clarification about Poincaré's conjecture
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MHB Showing a simple function is continuous on a restricted domain
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MHB Analysis of Implicit Differentiation
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Graduate Measurability of a function with finite codomain
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Graduate Maxmimum\Minimum modulus principle
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Undergrad Expand a Function with Taylor Series: Quick & Easy
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MHB Construction of a Cauchy sequence
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Graduate A sequence of functions evaluated at a sequence
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Graduate Cylinder sets, some clarification
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Graduate Why are separable spaces called "separable"?
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MHB What is Stoll's definition of the natural logarithm function?
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MHB Continuity of inverse function at endpoints
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Undergrad Why isn't the real part of z just the coefficient R?
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Graduate How to solve for a function that is asymptotic to a sequence
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MHB Complex function that satisfies Cauchy Riemann equations
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MHB Proof of Sum-Union Measure Inequality
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Graduate Conditions on f for dx/f(x) to be a Measure in L^2
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MHB Computing a Simple Integral Via Riemann Sums
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MHB Fundamental Theorem of the Calculus - Stoll: Theorem 6.3.2
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Graduate Every nonnegative real has an nth root proof
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MHB Solving for $Mf \notin L^1(\mathbb{R})$ with $f \in L^1 (\mathbb{R})$
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MHB Riemann Criterion for Integrability - Stoll: Theorem 6.17
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MHB Showing the “only if” direction of equality in a complex equality
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MHB L'Hopital's Rule _ Statement of Theorem (Houshang H. Sohrab)
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MHB Proof of Darboux's Theorem (IVT for Derivatives)
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Undergrad Numerical Approximation and addition of new data points
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MHB Inverse Function Theorem for One Real Variable
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MHB Simple Exercise Involving the Algebra of Limits
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Graduate Definitions of Lebesgue integral
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Graduate Rudin's Principles Theorem 1.11 (supremum, infimum)
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MHB Find the following in x + iy form
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MHB Proof of Chain Rule for Differentiation - Stoll, Theorem 5.1.6
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MHB Trigonometric Inequality in Tom Apostol's Book
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MHB Compact Sets - Simple question about their nature .... ....
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Graduate What Are Imaginary Volumes in Complex Numbers and Algebras?
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MHB To Prove that The Level Set Of A Constant Rank Map is a Manifold
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MHB Apostol - Continuity & Differentiabilty
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MHB Metric Spaces - Fixed Point Theorem (Apostol, Theorem 4.48)
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Graduate Hypersurfaces of R^n are Orientable
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Graduate Obstruction Theory and Embeddings
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Graduate Prove f(z) = |z| is not analytic
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Graduate Evaluating Integral dx^2: How to Calculate and Apply Taylor Series
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Graduate Removable Singularity: Is it the Same as a Simple Pole?
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Graduate Real / Functional Analysis Video Lectures?
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MHB Metric Spaces & Compactness - Apostol Theorem 4.28
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MHB Continuity and Compact Sets - Bolzano's Theorem
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Graduate Is the Definition of Sigma Algebra Limited to Countable Unions?
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MHB Books to Learn Measure Theory Theory: Borel, Lebesgue, Cantor Set & More
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Graduate Can a 4D shape exist in our universe?
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Graduate Uniform Convergence: Understanding the Limitations and Implications
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MHB Challenge for Polynomial with Complex Coefficients
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Undergrad Definition of pointwise in mathematics?
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MHB Linear operator, its dual, proving surjectivity
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MHB Apostal Chapter 4 - Cauchy Sequences - Example 1, Section 4.3, page 73
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Graduate Intersection of a closed convex set
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Graduate Physical explanation of e^i*pi=-1
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Graduate Additive but not Scalable f: R-->R
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MHB Every interval (a,b) contains both rational and irrational numbers
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MHB Is Cesaro-Stolz theorem applicable in this case?....
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Graduate Proof that a TVS is seminormed iff it is locally convex
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MHB Perfect Sets in R^k are uncountable - Issue/problem 2
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MHB Perfect Sets in R^k are uncountable
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Undergrad Identifying the name of a theorem
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Graduate Existence of x,y so that x-y is in Z-{0}.
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MHB Heine-Borel Theorem - Proof - Rudin Theorem 2.41
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Graduate Proof using the closed graph theorem
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MHB Sequence of Intervals - Rudin, Theorem 2.38
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Graduate Easy question regarding the basis for a topology
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MHB Complex Contour integration of rational function
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Undergrad Is learning epsilon-delta proofs before analysis a good idea
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Graduate Uncovering the Mystery: Solving a Puzzling Real Analysis Exam Problem
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Graduate ArXiv:1301.7652 and Euler homogeneous function theorem
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Graduate "Robustness" of Nielsen-Thurston Classification
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Graduate Solving Equality Problem in Complex Numbers
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Graduate Explain this method for integrals (complex analysis)
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Graduate Clarification of Poincaré–Bendixson theorem
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MHB Evaluating a rational function with contour integration
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MHB Complex Contour Keyhole Integration Methods
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MHB Parametrizatrion of a Straight Line Segment in C - Simple Issue
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MHB Evaluating a logarithmic integral using complex analysis
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Graduate Proving integral on small contour is equal to 0.
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Graduate Proof of the Archimedean Property
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Graduate What makes complex numbers so special?
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Graduate Covering space of implicit vs parametric functions
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Graduate Writing Elements in $L^p(X,Y,\mu)$ Mathematically
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MHB Can this inequality be proven under given conditions?
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MHB Advanced Calculus - Continuous Functions
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MHB Generalized Holder Inequality: Proving the Inequality for Arbitrary Exponents
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Graduate De Moivre's Theorem for Rational Exponents
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MHB How to Prove This Complex Inequality Involving Factorials and Sums?
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MHB Can This Complex Inequality Be Proven?
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Graduate When to Use Modulus of Convexity and Modulus of Smoothness in Calculations?
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MHB Advanced Calculus - Differentiable and Converging Polynomials
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Undergrad Why is the principal square root of a complex number not well-defined?
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Graduate Reconstructing Group from Covering Maps
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Graduate What Book Best Explains Fourier Transforms for Quantum Mechanics?
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