#mathematics #math #ComplexAnalysis #DistributionTheory #Hyperfunctions
Source:https://buff.ly/dZWLDDA
0
0
0
0
#ComplexAnalysis
Posts tagged #ComplexAnalysis on Bluesky
It's good to see my friends Mei-Chi S. ☘️ and Charles S. have published a new book! I am looking forward to reading it!
link.springer.com/book/10.1007/978-3-031-9...
#SpringerNature #ComplexAnalysis
0
0
0
0
Jordan’s Lemma bounds integrals over large semicircles in the complex plane, ensuring exponential terms decay and making residue calculus and Fourier methods work smoothly. Do you remember using it?
#ComplexAnalysis #Mathematics #STEM #MathEducation #MathType
0
0
0
0
When is a complex function truly differentiable? The Cauchy–Riemann equations give us the answer. By linking the partial derivatives of the real and imaginary parts of a function, they establish the precise condition for complex differentiability.
#ComplexAnalysis #Math
0
0
0
0
Toupin, D. (2025). Holding the Line: How Haar Measure, Functional Symmetry, and Compactness Force the Riemann Hypothesis. Zenodo. doi.org/10.5281/zeno...
#Skyence #NumberTheory #SpectralTheory #MeasureTheory #ComplexAnalysis #BrownianMotion #RiemannHypothesis #ZetaFuction #MillenniumPrizeProblems
1
0
0
0
De Moivre's Formula is an expression that connects the world of #ComplexNumbers and #Trigonometry. Although the one-liner proof via Euler's Identity feels very intuitive and direct now, this formula was proven before Euler's Identity was known.
#ComplexAnalysis #MathType
0
0
0
0
Image of the paper's title page showing the title, author information, and abstract.
Just released: Proof of the Riemann Hypothesis via Haar inversion + functional equation + Peter-Weyl compactness.
Preprint:
doi.org/10.5281/zeno...
Feedback welcome!
#RiemannHypothesis #NumberTheory #Math #MeasureTheory #Primes #ComplexAnalysis #MathSky #NumberSky #ZetaZeros
2
0
1
0
My photos from the Oct. 10-12 Midwestern Workshop on Asymptotic Analysis :gauss: , here at #PurdueFortWayne 🐘
www.flickr.com/photos/coffmanadam/album...
#NSFfunded #math #MathConference #RealAnalysis #ComplexAnalysis
0
0
0
0
NITheCS Colloquium: 'The convex invertible cone approach to Nevanlinna-Pick interpolation' - Prof Sanne ter Horst (North-West University) - Mon, 22 Sept 2025 @ 16h00-17h00 SAST. Attend online or in person. buff.ly/FakKyuT
#Mathematics # NevanlinnaPick #MathTalk #AppliedMathematics #ComplexAnalysis
0
0
0
0
Liouville's theorem states that every bounded function that is holomorphic in the whole complex plane must be constant. It is a classical result in #ComplexAnalysis.
#MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
0
0
0
0
\\(1^{st}\\) announcement for the 2025 Midwestern Workshop on Asymptotic Analysis - October 10 - 12 at #PurdueFortWayne 🐘 .
Participant registration is now open (through Sept. 21 to be considered for travel support), follow the instructions on the web site:
http://mwaa.math.indianapolis.iu.edu/ […]
0
0
0
0
\\(0^{th}\\) announcement for the 2025 Midwestern Workshop on Asymptotic Analysis - October 10 - 12 at #PurdueFortWayne 🐘 .
The web site has a preliminary list of 2025 speakers including our keynote speaker Alexandre Sukhov 🇫🇷 . Online registration and the request form for travel support will be […]
0
0
0
0
🧑🎓💼1 postdoc position is open in #Probability at the University of Rome La Sapienza, within the FIS 2 project Understanding pattern formation in nature via #complexanalysis, PI Vittoria Silvestri.
Deadline for applications: 29 August 2025 - strict
web.uniroma1.it/trasparenza/...
2
2
0
0
A Mastodon statue is reflected in the window on the right.
The #math department at #PurdueFortWayne 🐘 welcomes two new tenure-track faculty!
Vahan Mkrtchyan's research is in #GraphTheory and theoretical computer science :k33: :k5:
Liding Yao's research is in #ComplexAnalysis and geometric analysis
1
0
0
0
My "short communication" has been accepted for #ICM2026 ! The topic is in analysis but I just got the acceptance email and don't have any scheduling or other information yet. The long communication speakers are listed on the web site […]
0
0
0
0
repost @erik_alan_norman on IG
2D vs 3D Möbius transformations. #möbius #transformations #geometry #complexanalysis #analysis #projection #sphere #math #maths #mathematics #mathematician #vector #calculus #blender #3dartist #3danimation #geometrynodes #fields
3
0
0
0
Our #PurdueFortWayne 🐘 #math department colloquium talks this semester, on #RealAnalysis #ComplexAnalysis #GraphTheory
https://photos.app.goo.gl/tQaqPeZXf3nMHKzP9
0
0
0
0
Visualizing roots of z² + (t₁ + t₂)
t₁ and t₂ are complex numbers, |t₁| = |t₂| = 1
Colors encode the angle of each t₁ and t₂
Generated with #p5js
#MathArt #VisualMath #ComplexAnalysis #Algebra #SciArt
9
0
0
0
This visualization shows all roots of quadratic polynomials (ax² + bx + c = 0) where coefficients |a|,|b|,|c| ≤ 100, plotted in the complex plane from -0.28-0.28i to 0.28+0.28i.
Generated with #p5js
#MathArt #VisualMath #ComplexAnalysis #Algebra #SciArt
21
3
0
0
This visualization shows all roots of quadratic polynomials (ax² + bx + c = 0) where coefficients |a|,|b|,|c| ≤ 100, plotted in the complex plane from -1.2-1.2i to 1.2+1.2i.
Generated with #p5js
#MathArt #VisualMath #ComplexAnalysis #Algebra #SciArt
22
2
1
0
Plot shows 215,240 eigenvalues in [-2.5-2.5i, 2.5+2.5i]. Total of 109,000 matrices. 16,664 computation failures using numeric.js library.
The failures represent edge cases where numeric.js couldn't converge.
Created with #p5js
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math
2
0
0
0
A density plot of Bohemian eigenvalues from 109.000 random 20×20 anti-tridiagonal matrices with entries in {-1,0,1}. Colors represent eigenvalue frequency; real eigenvalues are excluded. Viewed on [-2.5-2.5i, 2.5+2.5i].
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math #SciArt
22
5
1
0
Plot shows 211,416 eigenvalues in [-3-3i, 3+3i]. Total of 348,500 matrices. 21,456 computation failures using numeric.js library.
The failures represent edge cases where numeric.js couldn't converge.
#p5js #MathArt #LinearAlgebra #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math
6
0
0
0
Each point represents one eigenvalue from the spectrum of a random 5×5 matrix with entries from {-1,0,1}. Warmer colors show regions where eigenvalues cluster more densely.
#MathArt #LinearAlgebra #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math
38
7
4
2
Exploring the roots of 131,072 polynomials with coefficients in {1,3}.
Each dot is a root of a degree-16 polynomial; brightness reveals its frequency across all polynomials.
Created with #p5js
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math
10
1
0
0
Exploring the roots of 131.072 random ±1-polynomials of degree 16.
Each dot is a root, brightness shows how frequently it appears across all polynomials.
Created with #p5js
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math
11
1
1
0
Complex function visualization: 𝑓(𝑧)=𝑧
→ Hue encodes the phase (argument of 𝑓(𝑧))
→ Brightness encodes the fractional part of log2∣𝑓(𝑧)∣
Created with #p5js
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math
13
1
1
0
Final Result - Complex function:
f(z) = ((z - 2)² (z + 1 − 2i)(z + 2 + 2i)) / z³
→ Hue encodes phase (arg f(z))
→ Brightness encodes log-magnitude (|f(z)|)
Created with #p5js
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis
9
0
0
0
Complex function (magnitude visualization):
f(z) = ((z - 2)² (z + 1 − 2i)(z + 2 + 2i)) / z³
Absolute value of the same function from my previous post. The brightness represents the fractional part of log₂|f(z)|.
Created with #p5js
#MathArt #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis
10
0
2
0
Proof of the Fundamental Theorem of Algebra using the Maximum Modulus Principle.
Aquí va la primera demostración de la semana del teorema fundamental del álgebra. En esta se usa el Principio del Módulo Máximo: si la función holomorfa f toma su valor absoluto máximo en un conjunto abierto, entonces es constante.
#mathematics #matematicas
#algebra #complexanalysis
3
0
0
1