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.
Sub-forums
Threads
Graduate Why spherical harmonics can only represent bounded functions on a sphere
- pamparana
- · Replies 1 ·
Proving proposition 2.3.22 on absolute and conditional convergence in Sohrab
- Math Amateur
- · Replies 5 ·
Graduate Can the Fejér Kernel Be Approximated by Polynomials?
- Vannel
- · Replies 1 ·
Undergrad Necessity of absolute value in Cauchy Schwarz inequality
- SamRoss
- · Replies 4 ·
Proving 1/n^p ≥ 1/n when p ≤ 1
- Math Amateur
- · Replies 4 ·
Graduate How are topological spaces applied in the realm of physics?
- Josh0768
- · Replies 11 ·
Proving 1/n! ≤ 1/(2·3^(n-2)) for n ≥ 3
- Math Amateur
- · Replies 2 ·
Sohrab proposition 2.3.8: limit of r^n when |r| < 1
- Math Amateur
- · Replies 2 ·
Undergrad Garling theorem 3.1.1: existence of least integers in supremum property
- Math Amateur
- · Replies 4 ·
Undergrad Garling Corollary 3.2.7: rational sequences converging to reals
- Math Amateur
- · Replies 7 ·
What Are the Key Insights from D. J. H. Garling's Theorem 3.1.1?
- Math Amateur
- · Replies 6 ·
Understanding Garling's Corollary 3.2.7 on Real Numbers and Rational Sequences
- Math Amateur
- · Replies 2 ·
High School Precision Representation of Vectors Using a Spiral on a Sphere
- metastable
- · Replies 30 ·
Why does Garling's definition of partial order omit reflexivity?
- Math Amateur
- · Replies 2 ·
Deriving Lemma 1.2.11 from Lemma 1.2.4 via complements in Duistermaat and Kolk
- Math Amateur
- · Replies 4 ·
Graduate Proving Continuous Function: Expectation Values of Periodic Functions Over Time
- thegaussian
- · Replies 1 ·
Uniform norm .... Garling Section 11.2 Normed Saces .... also Example 11.5.7
- Math Amateur
- · Replies 4 ·
Graduate Reproducing Kernel Hilbert Spaces
- joshthekid
- · Replies 3 ·
Norm on bounded functions: proving homogeneity
- Math Amateur
- · Replies 2 ·
Proving assertion (i) in Duistermaat and Kolk lemma 1.2.5
- Math Amateur
- · Replies 2 ·
Bounded sets in normed spaces: Garling section 11.2
- Math Amateur
- · Replies 5 ·
Necessary and Sufficient Meaning of Isometries by D. J. H. Garling
- Math Amateur
- · Replies 5 ·
Undergrad Lemma 1.2.3 - Ethan.D.Bloch - The Real Numbers and Real Analysis
- anhtudo
- · Replies 2 ·
Graduate What are the equality conditions for proving strict convexity?
- member 428835
- · Replies 1 ·
Graduate Proving Ptolemy's inequality in Euclidean space R^n
- ypatia
- · Replies 1 ·
Graduate Integrating |z|² dz along different paths from 0 to 1+2i
- randybryan
- · Replies 1 ·
Span of orthonormal vectors in orthogonal complement (Garling 11.4.2)
- Math Amateur
- · Replies 2 ·
Undergrad Trying to understand terms in a problem
- Mr Davis 97
- · Replies 6 ·
Why does x_i equal the inner product in Garling's Gram-Schmidt remarks?
- Math Amateur
- · Replies 6 ·
How Do We Know the Annihilator Operation Is Associative?
- Math Amateur
- · Replies 2 ·
Proving A ⊆ A⊥⊥ in Garling's proposition 11.3.5-4
- Math Amateur
- · Replies 3 ·
Reverse triangle inequality in Conway's example 5.3.4(b)
- Math Amateur
- · Replies 5 ·
Cauchy-Schwarz inequality proof in Garling Proposition 11.3.1
- Math Amateur
- · Replies 2 ·
Garling's Theorem 11.1.13 on pseudometrics and quotient spaces
- Math Amateur
- · Replies 5 ·
Undergrad Bounded subsets and supremum of norms in Garling section 11.2
- Math Amateur
- · Replies 2 ·
Undergrad Why does taking the supremum preserve inequality in the uniform metric?
- Math Amateur
- · Replies 2 ·
Supremum of inequality in uniform metric triangle inequality proof
- Math Amateur
- · Replies 2 ·
Undergrad Why do these functions form complete orthogonal systems in the Hilbert space?
- member 428835
- · Replies 19 ·
Graduate Closures and Infinite Products
- joeboo
- · Replies 1 ·
Graduate Has the 140-Year-Old Schwarz-Christoffel Math Problem Finally Been Solved?
- Diffy
- · Replies 1 ·
Radius and Interval of Convergence for (x/sin(n))^n
- Denis99
- · Replies 3 ·
Undergrad Running through a complex math derivation of plasma frequency
- Suzanne Rosenzweig
- · Replies 1 ·
Undergrad Can someone explain these two examples of an open set
- Austin Chang
- · Replies 5 ·
Undergrad Why Restrict Derivatives to Intervals?
- member 587159
- · Replies 25 ·
Undergrad Parametrized set as plane through origin in McInerney 3.3.3
- Math Amateur
- · Replies 2 ·
Integral Over Unit Sphere of Inner Product
- joypav
- · Replies 1 ·
Graduate Ambiguity about roots of unity in discrete Fourier transform
- CantorSet
- · Replies 1 ·
Graduate Arctan Identities Via Exponentiation
- 4dhayman
- · Replies 1 ·
Undergrad Rank of Jacobian matrix in McInerney theorem 3.3.13
- Math Amateur
- · Replies 4 ·
Graduate Mechanical steps for the natural-neighbor interpolation
- maistral
- · Replies 1 ·
Undergrad Pole Identification Using Block Diagram Reduction
- Hraabo
- · Replies 4 ·
Undergrad Is the Unit Square Bijective or Only Injective to the Real Line?
- nomadreid
- · Replies 7 ·
Graduate Schroeder's equation: simple observation
- phoenixthoth
- · Replies 1 ·
Graduate Dirac delta function on the complex plane?
- pellman
- · Replies 1 ·
Graduate How to test if a function has real or complex roots
- Karlisbad
- · Replies 1 ·
Graduate What is the concept of the extended complex plane/Riemann Sphere?
- jimmycricket
- · Replies 1 ·
Graduate Can the Gamma Function Simplify Complex Integrals?
- Greg Bernhardt
- · Replies 1 ·
Graduate What are extended real numbers
- Greg Bernhardt
- · Replies 1 ·
Insights What is a Real Number? A 5 Minute Introduction
- Greg Bernhardt
- · Replies 1 ·
Graduate What is the Schwarz Inequality and Its Applications?
- Greg Bernhardt
- · Replies 1 ·
Graduate Definition of Topology: What is a Topological Space?
- Greg Bernhardt
- · Replies 1 ·
Finding Lebesgue Decomposition for a Measure Defined by an Integral
- joypav
- · Replies 3 ·
Undergrad On the topological proof of the Fundamental Theorem of Algebra
- swampwiz
- · Replies 18 ·
Graduate Why does the characteristic function not converge in the L1 space?
- member 428835
- · Replies 11 ·
Differentiability of the product function in McInerney 3.1.5
- Math Amateur
- · Replies 3 ·
Undergrad Finding all valid surfaces that go through a vector field
- GabrielCoriiu
- · Replies 9 ·
McInerney Definition 3.1.1: linear approximation Ta(h)
- Math Amateur
- · Replies 2 ·
Graduate What do the notations in functional analysis mean for a given function?
- member 428835
- · Replies 3 ·
Undergrad Differential Forms.... Another question.... Browder, Sec 13.1
- Math Amateur
- · Replies 2 ·
Undergrad Browder's definition of differential forms and Weintraub's example
- Math Amateur
- · Replies 3 ·
Undergrad Wedge product determinant: Tu permutes rows, Walschap permutes columns
- Math Amateur
- · Replies 2 ·
Undergrad Determinant formula with permutations in Walschap 1.3.1
- Math Amateur
- · Replies 6 ·
Undergrad Anticommutativity of Wedge Product .... Tu, Proposition 3.21
- Math Amateur
- · Replies 1 ·
Undergrad The Wedge Product .... Tu, Section 3.7
- Math Amateur
- · Replies 1 ·
Undergrad Permutation for swapping tensor factors in Browder prop 12.25
- Math Amateur
- · Replies 6 ·
Undergrad Applying Proposition 12.20 to alternating tensors in Browder 12.22
- Math Amateur
- · Replies 6 ·
Undergrad Which branch of mathematics talks about this?
- Swamp Thing
- · Replies 13 ·
Graduate Where is the actual space inside a tesseract?
- empleat
- · Replies 12 ·
High School Finite distance between two points
- CCMarie
- · Replies 15 ·
Undergrad Hausdorff dimension of Riemann zeta function assuming RH
- nomadreid
- · Replies 11 ·
Vitali Covering: Proving Finite Interval Covering for m*(E)<∞
- joypav
- · Replies 1 ·
"Approximation to the Identity" and "Convolution" Proof
- joypav
- · Replies 1 ·
Browder Corollary 12.4: proving existence of nonzero covector
- Math Amateur
- · Replies 2 ·
High School How can complex numbers be elevated to complex powers?
- ForceBoy
- · Replies 12 ·
Is the basis in Tu's Proposition 3.1 general or the standard basis?
- Math Amateur
- · Replies 2 ·
The Dual Space and Differential Forms .... ....
- Math Amateur
- · Replies 2 ·
Rank one tensor coordinate transformation notation in Fortney
- Math Amateur
- · Replies 2 ·
Reconciling definitions of 2-forms in Fortney, Darling and Weintraub
- Math Amateur
- · Replies 2 ·
Undergrad Understanding why ##(y_n)_n## is a bounded sequence
- JD_PM
- · Replies 3 ·
Undergrad Showing that a function is analytic
- OscarAlexCunning
- · Replies 2 ·
Applying Banach fixed-point theorem to a nonlinear system in R²
- mathmari
- · Replies 9 ·
Tangent plane equation from directional derivatives in Fortney
- Math Amateur
- · Replies 2 ·
Undergrad Why does e^(2πi/3) equal both 1 and -1/2 + i√3/2?
- Quarky nerd
- · Replies 8 ·
Approx. in $L^p$: Proving Existence of Subseq & $g$
- joypav
- · Replies 2 ·
Proving Density of $S$ in $L^{p'}(E)$ for $g \in L^p(E)$
- joypav
- · Replies 1 ·
Undergrad Error estimate for iterative convergence
- member 428835
- · Replies 5 ·
Undergrad Do complex roots have a physical representation on a curve?
- mohammed El-Kady
- · Replies 6 ·
Piecewise Continuous and piecewise smooth functions
- comfortablynumb
- · Replies 1 ·
Undergrad How to think of S1 (circle) abstractly
- vancouver_water
- · Replies 18 ·
Can we use a measure of rationals to count irrationals between them?
- moyo
- · Replies 12 ·