Formula Library

Every formula gets a canonical page: the statement, a full variable table, its derivation, the conditions under which it holds, and a worked example. No formula ships incomplete.

Algebra

Quadratic Formula

Roots of ax²+bx+c=0, derived by completing the square, with discriminant analysis.

WLM-F-0001

Binomial Theorem

Expansion of (a+b)ⁿ with the combinatorial proof.

Coming soon

Vieta's Formulas

Root sums and products from the coefficients.

Coming soon

Fluid Mechanics

Navier–Stokes Equations

Momentum balance for viscous flow, term by term, with the MHD extension.

WLM-F-0101

Bernoulli's Equation

The mechanical-energy balance along a streamline, with all four assumptions.

WLM-F-0102

Continuity Equation

Mass conservation, differential and integral forms.

Coming soon