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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 Cube root of unity with a huge exponent
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MHB How can I show with the definition that f is continuous?
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MHB Prove $\lim_{n \to \infty} \sqrt[n]{a_1a_2...a_n} = L$ for Convergent ${a_n}$
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MHB How to Determine Orientation in 3-Dimensional Space?
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MHB Using Residue Calculus For a General Cosine Angle
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Graduate Interpretation of 'homologous to' - Munkres analysis of homology grou
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Graduate Closures of the set of measurable functions
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MHB Is the set of Natural Numbers Complete?
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MHB Inverse map is closed under complementation
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MHB Determining Suitable Contour for $\int_0^{\infty} \dfrac{\log (x) }{x^2 +1 } dx$
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Undergrad Complex Analysis and vector calculus
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Graduate Homology of Connected Sum of Two Projective Planes, P^2 # P^2
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MHB (f_n) converges pointwise to a continuous f
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MHB Does \(g \circ f_n \to g \circ f\) Uniformly on \(A\)?
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MHB Real life phenomenon that can be modeled by this curve?
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MHB How to Calculate Matrix Norm in a Banach Space?
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Graduate Question on holomorphic functions
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Graduate Homology Groups of the Klein Bottle
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MHB Why Do the Points from the Mean Value Theorem Depend on Both n and x?
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Graduate Does If f be a Measurable Function Imply Finite ∫|f|dm?
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MHB Does $(1+\frac{x}{n})^n$ Uniformly Converge to $e^x$ on Different Intervals?
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MHB Can a Function and Its Inverse Prove an Integral Inequality?
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MHB Proving Existence of Equal Values in Continuous Functions with Equal Integrals
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Graduate 2D slice of a 6D Calabi-Yau manifold , and other?
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Graduate Proof of Identity Theorem: Understanding G is Non-Empty
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Graduate Geometric Derivation of the Complex D-Bar Operator
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MHB Riemann Integral: Proving $\int_a^b f = \int_a^c f + \int_c^b f$
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Graduate What is the Topology of a Tangent Bundle?
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MHB Show that f+g is integrable and find its value
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MHB Show that f is uniformly continuous
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Graduate Why Must Any 2-Cycle of the 2D Torus Be of the Form pγ?
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MHB What is the Branch Cut for log(z)?
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MHB Prove Riemann Integrability: Let f:[0,1]->R
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MHB Series Convergence: Showing Convergence & Sum Equivalence
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MHB Complex numbers and area of octagon
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MHB No Non-Constant Entire Function $f(z)$ with $Re(f(z))<0$
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Graduate Functionla Analysis separability
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Graduate Understanding Saturated Sets in Quotient Maps
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Graduate Complex Sin value greater than 1
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Graduate The a set is open iff its complement is closed?
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MHB Complete Metric Space: X, d | Analysis/Explanation
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Graduate Is R^3 Equivalent to E^3 in Euclidean Space?
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MHB Show that the limit of f is equal to y
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MHB Does the function $f_n(x)$ converge pointwise to zero on $(0,+\infty)$?
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MHB How can I find a sequence of functions satisfying certain properties?
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Graduate Fourier series representation for trigonometric and complex form base
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MHB Is $f(z) = \sin(z)/z$ an analytic function on the complex plane?
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MHB Map of Area Bounded by y=5x & y=-3x in Upper Plane
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MHB Does the Intermediate Value Theorem Apply If h(a) and h(b) Have Opposite Signs?
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MHB Why is (x,e_i) a zero sequence?
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Graduate Cauchy's differintegral formula
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MHB Contraction Map: Proving $f(x)$ is a Contraction
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Graduate What is the Condition for Antiholomorphism?
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MHB Solving a Functional Equation Problem: Finding f(3)-f(0)
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Graduate Proof of equality of diameter of a set and its closure
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Graduate Mobius Band as a Quotient Topology
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Graduate Fundamental groups and arcwise connected spaces.
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MHB Closed infinite orthonormal system
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Undergrad Circles vs an infinitely n-sided polygon.
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MHB Is $f_n(x_n) \to f(x)$ Given $f_n \to f$ Uniformly and $x_n \to x$?
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MHB Working on lipschitz function and contraction map
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Graduate Torus T^2 homeomorphic to S^1 x S^1
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MHB Proving |f(x)-f(y)| ≤ K ||x-y|| for f:R^2→R
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Graduate Simple topology problem involving continuity
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Graduate Convolution with Complex-Valued Functions: Applications and Limitations
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Graduate What the following statement exactly mean?
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Undergrad Raising to half power = PRINCIPAL square root?
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Graduate Why Banach Spaces Are Important: A Fellow Student's Question
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MHB Why is the Infimum of f in Any Subinterval Equal to 0?
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Graduate Lebesgue measure in lower dimensional space
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Graduate Inverse of the adjoint of the shift operator
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MHB Spectral decomposition of compact operators
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Graduate Dividing Sets in Contact Structures, and Induced Orientations
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Graduate Constructing Atlases: Understanding Topology for GR Class
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MHB About open sets in a metric space.
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MHB Inverse Laplace transform question
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MHB What does zero at infinity mean?
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MHB Region of Convergence: Re${s} > -3 for $\beta$
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MHB Value of Sigma such that the integral converges
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MHB How can I show that the function is continuous at [0,1)U(1,2]?
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Graduate Are residues useful for proper integrals?
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Graduate Solving the Branch Cut Question on f(z) = arccot(z)
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Graduate How to Prove Existence of Integer n in Dedekind Cut Using Archimedean Property?
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Graduate Gamma Function and the Euler-Mascheroni Constant
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MHB Why Choose Specific Partitions in Integration Proofs?
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Graduate What does it mean to use the integrator as an average?
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Graduate Challenge 14: Smooth is not enough
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MHB Integral Properties of $f^2$: Boundedness?
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MHB Find a real number for a continuous function
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Graduate Is a Metric Space with Infinite Distance Totally Bounded?
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MHB How Does the Linearity of Integration Work for Sum of Functions?
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MHB Understanding and Applying Dirichlet's Conditions for |x| on [-\pi, \pi]
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Graduate Test functions for tempered distributions: analytic?
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MHB Upper-Lower sum of Riemann Integral
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MHB Are Measures Really Equal If Integrals of Continuous Functions Match?
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Graduate Limits of "Proper" Function Approach to Banach Spaces
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MHB What is the value of z if its argument is equal to its conjugate?
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MHB Examples of spectral decompositions
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Graduate Kantorovich Norm Explained: Pushforward Measure & Integration
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MHB Can Complex Integration Solve These Advanced Calculus Problems?
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