Better Grades math standard

Letters should carry meaning,
not decorative noise.

Our default is simple: lowercase italic variables, named inputs, explicit units, and capital letters only when a standard mathematical role justifies them.

Default alphabet

Lowercase is the rule.

x,y,zx,y,zordinary scalar variables

Use lowercase italic letters unless the context gives a stronger convention.

tttime

Use t as the independent variable for time-dependent quantities.

n,k,i,jn,k,i,jinteger indices

State the starting index; do not rely on whether natural numbers include zero.

a,b,ca,b,cparameters or interval endpoints

Define their role locally; keep them lowercase for generic scalars.

f,g,hf,g,hfunctions

Use lowercase names for ordinary functions and always show the input when ambiguity is possible.

m,bm,bslope and vertical intercept

Reserve this pair for a linear model when using y=mx+b.

u,vu,vsubstitution or helper functions

Define them before using du, dv, or integration by parts.

rrradius or common ratio

Use lowercase r for an ordinary radius; R is reserved for an outer radius or Taylor remainder.

A,B,SA,B,Snamed sets

Capital letters may name sets when membership or set operations make that role explicit.

A,B,CA,B,Cnamed geometry points

Capital letters name points; the middle letter in an angle name identifies its vertex.

Reserved capitals

Every capital needs a job.

AAReserved use

Area, amount, a named set, or a traditional standard-form coefficient when the page defines that role.

BBReserved use

A named set or a traditional standard-form coefficient only when that role is being discussed.

CCReserved use

The arbitrary constant of integration, a traditional standard-form coefficient, or a named contextual quantity explicitly defined on the page.

FFReserved use

A named antiderivative, implicit relation, cumulative function, or physical force explicitly defined on the page.

IIReserved use

A named integral used to collect a cyclic integration equation.

LLReserved use

A limit value, linearization, arc length, or explicitly named bound.

MMReserved use

A documented maximum derivative bound in an error estimate.

PPReserved use

A named proposition in a logic statement.

QQReserved use

A named proposition in a logic statement.

RRReserved use

A Taylor remainder or the outer radius in the washer method.

SSReserved use

Surface area or a sequence of partial sums.

VVReserved use

Volume.

WWReserved use

Work.

Derivative notation

Similar marks, different information.

ddx\frac d{dx}Operator

An instruction to differentiate the expression that follows with respect to x.

dydx\frac{dy}{dx}Named dependency

The derivative of dependent variable y with respect to independent variable x.

f(x)f'(x)Function derivative

The first derivative of f, evaluated at x.

y˙=dydt\dot y=\frac{dy}{dt}Time derivative

Dot notation is reserved for differentiation with respect to time.

Editorial enforcement

What the build rejects.

  • Glossary IDs, names, or anchors that collide.
  • Glossary entries without a visual mathematical example.
  • Undocumented LaTeX commands used by canonical articles.
  • Standalone capital variables without a reserved convention.
  • Public routes without contextual glossary terms.