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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.
Undergrad Proofing the derivatives of e^x from the limit approach
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Graduate Partial derivative exists at origin but not continuous there
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Undergrad What is the meaning of that a function F is well-defiened ?
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Undergrad How Does the Ratio Test Prove Series Convergence?
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Graduate Conformal Mapping for Transforming Regions: Finding a Function
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MHB How Do You Solve the Equation \(\sqrt{x+8} + 2 = \sqrt{x}\) in Complex Numbers?
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Graduate What is [itex]{\delta ^n}(f(x))[/itex] in n dimensions?
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Graduate What is the Set Intersection of Successive Midpoint Triangles in R^2?
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MHB Cantor Set Numbers: Explaining the Unique Ternary Expansion
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Graduate Complex analysis- show that the integral of this function exists
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MHB Cantor ternary set, construction
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MHB Question on proof of completness of space of all complex valued functions
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MHB Comparing the sup of two sequences
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Graduate Finding inverse for a homeomorphism on the sphere (compactification)
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Graduate Explanation of uniform topology theorem in Munkres
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Graduate The circle as a set closed and bounded
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Graduate Inverse of Function: Topology by Munkres Ch 1
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Graduate What is Topological Equivalence in Functions and Dynamical Systems?
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Graduate Checking if a function is analytic or entire
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Graduate Questions on locally compact space
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Graduate Can Direct Use of cosh(2y) and cos(2x) Prove the Trigonometric Identity?
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Undergrad Completeness axiom as having no holes in the set
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Graduate Subspace topology of Rationals on Reals
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Undergrad Schwarz inequality is Cauchy–Schwarz inequality?
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MHB Proving $\lim_{n\to\infty}a_n^2 = a^2$ with Delta-Epsilon
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MHB Are All Countable Sets Closed?
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Undergrad Taylor Series Interval of COnvergence and Differention + Integration of it
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MHB Can we use the fact that $L>1$ to show that the sequence is unbounded?
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MHB Proof That $\lim\limits_{n\to\infty}\frac{1}{a^n}=0$ if $a>1$
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MHB Progress and Accomplishments: A Look at What's Been Done
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Graduate What is the value of the integral of a delta function over a finite interval?
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MHB Dirichlet Problem on Sphere: Proving Mean Value of f
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MHB Mean square convergence of Fourier series
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MHB What Else Can the Poisson Kernel Achieve Beyond the Dirichlet Problem?
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MHB The connection between integration and area
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MHB Real Analysis is all about infinity
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Graduate CR Equations: Real & Imaginary Parts Satisfy Cont. & Diff.
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Graduate Is the Given Statement a Consequence of Fubini's Theorem?
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Undergrad Proof of Complex Number Formulas for Real & Imaginary Parts
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Undergrad Function Notation in Real Numbers: What Does it Mean?
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Graduate How Does the Riemann Integral Affect Lp Space Completeness?
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MHB Continuous periodic piecewise differentiable
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MHB Understanding theorem in Fourier series
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Graduate Lebesgue outer measure of a set of countably many points is 0 - logic check
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Graduate Open subset of R written as a countable union of pairwise disjoint open intervals?
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MHB Proving Schwarz's & Triangle Inequalities for Infinite Sequences
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MHB Limit Points of Unbounded Interval
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Graduate Epsilon proof and recursive sequences
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MHB How can I prove that the infinite union of certain closed sets is not closed?
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Graduate Why Is \left[\frac{1}{2},1\right] a Neighborhood of 1 in \left[0,1\right]?
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MHB Prove Schwarz's & Triangle Ineqs for Inf Seqs: Abs Conv
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MHB Solving Abs Converge Issue with Ratio Test
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MHB The minimal uncountable well-ordered set
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MHB Bounded Set with Two Limit Points
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Graduate Compactness/convergence in Banach spaces
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MHB Laplace general soln (x-x_0)^2 + (y-y_0)^2\leq R^2
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Undergrad Undergraduate courses for the study of fractals
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MHB Calculation in proof of Poincare's Lemma
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Graduate Question on constructing a convergent sequence
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Graduate Does the Gaussian have complex poles?
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Graduate Proof of "Every Cauchy Sequence is Bounded
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Graduate Uniform Convergence: Intuitive Explanation
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MHB What is the correct formulation of the problem: $0^{0}$?
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Graduate Variation of Dirac delta function
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Graduate Functional analysis - question about separable dual spaces
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Graduate Closed or open question about the Extended Real line
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Graduate Complex Analysis Solutions: Real and Imaginary Parts
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MHB Is the Sequence $\{x_n\}$ Defined by $7x_{n+1} = x_n^3 + 6$ Increasing?
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Graduate How Can I Better Understand Advanced Calculus Proofs?
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Graduate What is the Definition of Closed Sets in Topology?
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Graduate Proving Openness of a Set in n-Dimensional Space | Math Proof
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MHB What is the Limit of the Poisson Kernel Prove for $r\to 1$?
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MHB Proving Steady State Temperature Distribution in a Disk
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MHB Prove Evenness of Poisson Kernel for Fixed $r$
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MHB Proof of Positive Values for P(r,θ)
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Graduate Quotient Topology and Adjunction Space
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High School Definition Of The Complement Of A Set
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MHB Can You Separate Real and Imaginary Parts of $\sin^{-1}(e^{i\theta})$?
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Undergrad Analytic Continuation of the Exponential Function
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MHB Fn converges Uniformly to f, prove that f is continuous
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MHB Is Poisson's Kernel Useful for Computing Sums of Cosine Functions?
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Graduate Extract Real Part From ln(e^{ix}+i)
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MHB Squared Difference of Two Series: Why?
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MHB Are Geometric Progressions Always Less Than or Equal to Arithmetic Progressions?
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Undergrad Decompose Even & Odd parts of a function?
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Graduate Can anybody help me to understand this proof?
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Graduate Clarifications on the least upper bound property and the irrational numbers
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Graduate Contour Integration with Singularities: How Does the Residue Theorem Apply?
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Graduate [Help]Cauchy-Riemann Equations Proof
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Graduate Regarding Einstein Summation Convention
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Graduate How to compute inner product in the Hardy space
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Graduate Question about supremum and infimum
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MHB Greatest integer function with linear function inside
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MHB Every Number is between Two Consecutuve Integers
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Graduate Continuous Map to Single Point: Clarifying Confusion
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MHB Proving the Existence of Irrational Numbers Between Two Reals
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Graduate When is a function equal to its Fourier series?
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Undergrad Solving Sequences & Series: Limits & Sums
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MHB Fourier series without integration
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MHB Show How to Prove Divergence of g'($\theta$)
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