SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
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SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
1.26K subscribers
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Differential_equations
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John D. Cook | Applied Mathematics Consulting
The sound of drums that tile the plane
Bounds on the frequencies of a vibrating membrane, provided its shape can tile the plane.
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Geometry
#Number_theory
source
John D. Cook | Applied Mathematics Consulting
Primitive Pythagorean triangles with the same area
You can find three primitive Pythagorean triangles with the same area, but what about four?
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Geometry
source
John D. Cook | Applied Mathematics Consulting
Finding tangent circles | Descartes theorem
Given three mutually tangent circles, there is an elegant theorem for finding two more circles tangent to all three.
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Cryptocurrency
#Cryptography
#Elliptic_curves
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John D. Cook | Applied Mathematics Consulting
Whimsical elliptic curves in Zcash zero knowledge proofs
Several elliptic curves which Zcash uses in zero knowledge proofs are named after characters from Lewis Carroll: Jubjub, Bandersnatch, Tweddledee, Tweedledum
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Cryptocurrency
#Elliptic_curves
source
John D. Cook | Applied Mathematics Consulting
Pallas and Vesta elliptic curves used in Zcash
Two elliptic curves used in Zcash for zero-knowledge proofs, one named after a Greek goddess of war and one after a Roman goddess of home and hearth
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Elliptic_curves
source
John D. Cook | Applied Mathematics Consulting
Cycles of Elliptic Curves
Cycles of ellptic curves have the property that the number of points on one curve equals the field size of the next curve.
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
#Mathematica
#Number_theory
#SymPy
source
John D. Cook | Applied Mathematics Consulting
Time to factor big integers Python and Mathematica
Testing the time to factor big integers in Python with SymPy compared to Matheamtica
SATOSHI ° NOSTR ° AI LLM ML ° LINUX ° MESH ° BUSINESS | HODLER TUTORIAL
#Math
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John D. Cook | Applied Mathematics Consulting
Making the two-dimensional one-dimensional
We often want to reduce something that's inherently two-dimensional into something one-dimensional. We want to turn graph into a list. And we'd like to do this with some kind of faithfulness. We'd like things that are close together in 2D space to be close…