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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.
MHB Plotting Complex Functions: Does it Look Like a Riemann Surface?
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Graduate Does e^z - z^2 = 0 Have Infinite Solutions?
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Graduate Understanding the Formula for q in Rudin's Proof Question
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Graduate Complex Integral Trigonometric Substitution
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Graduate How Can Set-Valued Maps Be Integrated in Measurable Spaces?
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MHB Is the Function f(z) = z^(1/3) Analytic?
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MHB Defining Branch Cuts for f(z) = z^(1/3)
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MHB How Does Rigor Balance with Intuition in the Summation of Exponential Series?
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MHB Could you explain me the definition?
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Graduate Spectrum of ##(x_1,x_2,x_3, )\mapsto(0,x_1,2^{-1}x_2, )##
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Graduate Proof that [0,1] is compact (not using Heine Borel). Proof check
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Graduate Are there any metric spaces with no Cauchy sequences?
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MHB Proof of Outer Lebesgue Measure Monotonicity and Subadditivity
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Graduate Can a Sphere Be Creased in UIUC's Optiverse Exploration?
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Graduate Complex Analysis: Cauchy Riemann Equations 2
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Graduate Complex form of Fourier series
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MHB What is the maximum value of f(z) for any complex number z?
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Graduate Consequences of a Codimension One and One-Dimensional Foliations on Topology
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Graduate Can a discontinuous function have a uniformly convergent Fourier series?
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Graduate Interpretation of induction in terms of symmetry transformations
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Graduate Can All Banach Spaces Be Structured as Unitary Banach Algebras?
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Graduate Euclidean metric and non-Cartesian systems
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Graduate Why couldn't monotonicity be used again in examples 2 and 4 of real analysis?
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MHB Newbie here with question on Complex components
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Graduate Integral on Circle: Showing $\frac{1}{1-|z|^2}$
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Graduate On derivatives of higher order
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Graduate How to think about complex integration
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Graduate How Does the Mobius Strip Relate to Four-Dimensional Space?
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Graduate 2D-Spheres with Complex Structure
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MHB Finding the Conjugate Function of u for f to be Analytic
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MHB Deduce analyticity of each function
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Undergrad Understanding the Comparison of Complex and Real Numbers
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Graduate Why is the derivative of |x| not equal to sgn(x) + 2xδ(x)?
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Graduate Banach Sub-Algebra of C*-Algebra: Proving Completeness
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MHB Is the Set of Differentiable Points of a Function a Borel Set?
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Undergrad Is There a Root for cos(x) = x in the Interval (0,1)?
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MHB Cardinality of an interval as a limit
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Graduate Homemorphism of two metric space
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Graduate Help finding the equation of a line to a moving point
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MHB Branch Points & Cuts: Definitions & Examples
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Graduate Compact operator in reflexive space compact
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Graduate Pointwise convergence of Riemann integrable functions
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MHB Solving Problem w/ Norm Space Proof: Advice & Resources
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Graduate Is There a Connection Between Inequality and the Unit Disc?
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High School Is tan(x) continuous when x = pi/2?
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MHB Proving an Inequality Involving Real Numbers
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Graduate Existence of surjective linear operator
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Graduate Remind me how to do this complex integral
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Graduate Analyzing Analytic Functions: Solving a Complex Analysis Conundrum
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Graduate Why Does (e^(1+i*2*pi))^(1+i*2*pi) Not Equal e^((1+i*2*pi)(1+i*2*pi))?
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Graduate Banach's inverse operator theorem
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Graduate Rotations in the complex plane
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Graduate On limit of function and proof of chain rule
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MHB Can Absolute Value Solve the Problem of Convergence for Inverse Functions?
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Graduate On differentiability on endpoints of an open interval
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Graduate Are there complex functions with finite, nonzero branch points?
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Graduate Visualizing the Poincare Disc: Understanding its Limits
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Graduate A separation theorem in locally convex spaces
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Graduate Continuous functional s.t. $f(x_0)\ne 0$
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Undergrad Why study different kinds of functions in Real and Complex Analysis?
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MHB What Does the Integral Expression $\int_{\gamma} \rho(z) |dz|$ Represent?
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Graduate Proof of Baby Rudin: Unique Real y for x & n
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MHB Yes, your solution is correct. Good job!
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Graduate What is Dimension Theory and Its Infinite Dimensions?
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Undergrad Determine function from the graph
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Undergrad Is this an infinite number of discontinuities?
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Graduate Beginning Group Theory, wondering if subset of nat numbers are groups?
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MHB Is A_epsilon Non-Empty and Measurable in Lebesgue's Theory?
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Graduate Can You Solve f(x) + g(x,y) = 0 Where g Is Tangent to f?
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Graduate Problem in the paper of van Zwet
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Undergrad How does a collection of points have dimensions?
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Graduate Regions; "Each point of the set is the center of a circle "
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MHB Why are the cubic roots of 1 expressed as cis 120 degrees?
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MHB Help with finding the sup and inf
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MHB Convolution of two discrete sequence
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Undergrad Understanding Complex Number Fundamentals
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Graduate Can a Matrix-Valued Function h Exist with Given Properties in GL^+(n,R)?
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Graduate So-called Fundamental Theorem of Algebra
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Graduate Are the Results of Adding and Subtracting ζ(0) and Grandi's Series Valid?
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Graduate Schwartz - Christoffel transformation: point at infinity confusion
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Graduate Is there a table of Abel transforms for Gaussian distributions available?
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Graduate Orthogonality and physical applications
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Graduate Proof of rational density using Dedekind cuts
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Graduate Exponentiation with zero base, complex exponent?
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Graduate Computing Čech cohomology groups
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Graduate Are complex numbers just means to an end?
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Graduate Understanding Big O Notation: Limit Definition and Reconciling Statements
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Graduate Separating hyperplane theorem for non-disjoint sets
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Undergrad Metrics on the plane and the sphere
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Undergrad What are some open problems that would make a good honors thesis.
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MHB Is This the Correct Laurent Series Expansion for $\frac{1}{z^3-z^4}$?
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MHB What Are the Singularity and Residue of \( \frac{e^{z^2}}{(z-i)^3} \)?
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MHB Is This Maclaurin Series Expansion Correct?
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Graduate Understanding Least Upper Bound & Greatest Lower Bound in Q+
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Undergrad Open And Closed Discs - What's The Difference?
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MHB How Can Pi Be Represented as a Continued Fraction?
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MHB How can I find the center and radius of a circle from two different equations?
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MHB Drawing vectors according to the phase
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Undergrad What do the complex factors of a polynomial over C show about its graph?
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Graduate Proper Orthogonal Decomposition?
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