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
source
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.