Ludium

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Mastery, not glimpses. In-depth courses in math, finance, and science. Learn by doing, not watching. ludium.ai — interactive notebooks, the Feynman Technique...

Latest Videos

Mastering Bitcoin — 10.5 Fee Sniping and nLockTime

Mastering Bitcoin — 10.4 Transaction Pinning and CPFP Carve Out

Mastering Bitcoin — 10.3 CPFP and Package Relay

Mastering Bitcoin — 10.2 Replace By Fee

Mastering Bitcoin — 10.1 Bitcoin Transaction Fees

Calculus 2 — 9.4 Product-to-Sum Identities for Integration

Calculus 2 — 9.3 Integrals of tan^m·sec^n A Two-Case Playbook

Calculus 2 — 9.2 Half-Angle Identities for Even-Power Trig Integrals

Calculus 2 — 9.1 Odd-Power Trig Integrals

Intermediate Algebra — 26.4 Rationalizing the Numerator

Intermediate Algebra — 26.3 Rationalizing with Conjugates

Intermediate Algebra — 26.2 Rationalizing nth Roots

Intermediate Algebra — 26.1 Rationalizing the Denominator

Linear Algebra — 26.4 Principal Axis Theorem and the Ellipsoid

Linear Algebra — 26.3 The Hessian and Positive Definiteness

Linear Algebra — 26.2 Positive Definiteness via Pivots

Linear Algebra — 26.1 Positive Definite Matrices

Mastering Bitcoin — 9.4 ECDSA, Nonces, and Sighash

Mastering Bitcoin — 9.3 Schnorr Multisig and Threshold Signing

Mastering Bitcoin — 9.2 Schnorr Signatures and BIP340

Mastering Bitcoin — 9.1 SIGHASH Flags

Calculus 2 — 8.1 Integration by Parts

Calculus 2 — 8.4 Reduction Formula for ∫sinⁿ(x) dx

Calculus 2 — 8.3 Integrating Odd Powers of Secant

Calculus 2 — 8.2 Two Tricks for Integration by Parts

Intermediate Algebra — 25.4 Squaring Radical Binomials with FOIL

Intermediate Algebra — 25.3 Multiplying Radicals

Intermediate Algebra — 25.2 Adding and Subtracting Radicals

Intermediate Algebra — 25.1 Adding and Subtracting Like Radicals

Linear Algebra — 25.3 The FFT Factorization