differentiable

Has defined slope

Differentiable describes a function smooth enough that its rate of change can be calculated at any point—a technical term in calculus.

A curve with sharp corners or breaks is not differentiable at those points.

The word extends to anything that can be distinguished from something else: The two products are barely differentiable.

calculus

derivative

Function's rate of change

slope · integral · function · variable · infinitesimal · rate · secant · Leibniz · Newton · chain rule

optimization

gradient

Rate of change across space

convergence · objective · minima · maxima · saddle point · learning rate · TensorFlow · training · weights · parameters

economics

marginal

Barely adequate

demand curve · supply curve · revenue · profit · substitution · optimization · equilibrium · sensitivity · rate of change

topology

manifold

Many and various

  • smoothWithout roughness or difficulty
  • atlasBound collection of charts
  • chartData shown visually

vector field · embedding · immersion · orientable · compact · boundary · surface · dimension · coordinate · parametrization

Categories
Opposites
mathematical smoothness

differentiableundifferentiable

Cannot be told apart

discontinuous · jagged · singular · kinked · cusped

distinguishability

differentiableindistinguishable

Impossible to tell apart

undifferentiable · indiscernible · identical · same · alike

Family

different, difference, differ, differing, differentiate, differential, differentiation, differentiating, differentiated

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