Top Tweets for #Eigenfunctions
Ordinary #loudspeaker cabinets are basically cuboids. Along the XYZ axes, they present rigid walls that require #acoustic #eigenfunctions to have zero displacement at the walls. This severely limits their resonant spectrum. With the Inverted Projected #Tesseract loudspeaker, the inner cube is bounded not by six walls, but by six pyramidal ducts. These provide boundaries that reflect the sound at #displacement #antinodes -- producing, at frequencies below 1KHz, a pulsating cube inside the cabinet that cooperates with the woofer located on one of its faces. Lowered distortion...and omnidirectionality. https://t.co/KKgW2Jdpoi

@drussellpsu @COMSOL_Inc I wrote a minimal code in @WolframResearch #Mathematica to compute and plot the #eigenfunctions of the #Laplace operator on a polygon:

Generalized #eigenfunctions for #quantum walks via path counting approach.
Subscribe to access: https://t.co/BtNZZP2obe
#RMP #ReviewInMathematicalPhysics #theuniversityoftokyo #YokohamaNationalUniversitGeneralized #eigenfunctions for #quantum walks via path counting approach.
Subscribe to access: https://t.co/BtNZZP2obe
#RMP #ReviewInMathematicalPhysics #theuniversityoftokyo #YokohamaNationalUniversitGeneralized #eigenfunctions for #quantum walks via path counting approach.
Subscribe to access: https://t.co/BtNZZP2obe
#RMP #ReviewInMathematicalPhysics #theuniversityoftokyo #YokohamaNationalUniversity

Checkout the new #TopologyToolKit Example Website!
Dozens of #TopologicalDataAnalysis pipelines.
Today, quadrangulate surfaces with Laplace #Eigenfunctions and the Morse-Smale complex in 66 lines of #Python!
#datascience #visualization
https://t.co/3u3i9iMmRb

@glowing_finger_ @iH0DL @rarible @_theperfesser @WizardX_0x @xCryptochild @metamick14 has it reduced to a math formula
i'm sure he'll get sum super-genius like @katchwreck onboard and break it down to #Eigenfunctions soon.
my formula: if i can buy & 2x, i'll buy again, thats it.

One of the Fourier Basis on the Public Transport Graph of Budapest
#FourierTransform on #Graph by taking the #EigenFunctions of the Graph #Laplacian
Data by BKK <3 processed by Vince Szabo

Polyplexus Evidence µPub of the week:
"An effective potential theory can be used to map out the regions where waves become localized in a random medium."
https://t.co/6cdyUcNXQ1
#physics #mathematics #mechanical #engineering #materialsscience #academictwitter #eigenfunctions

‘Determination of #Planck’s Constant using #Light Emitting Diodes’ an #OpenAccess article on #ScienceOpen #Bohrfrequency #Eigenfunctions: https://t.co/WiYURaJQXw

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