GEOMETRY
a line or ray that divides an angle into two angles of equal measure
BISECTOR
a puncture in an object
GENUS
an equation that is true for all values of the variable(s)
IDENTITY
a function whose graph lies below the straight line (chord) joining any two points on the graph
CONVEX FUNCTION
the smallest infinite cardinal number representing the size (cardinality) of any countably infinite set
ALEPH-NULL
a line that intersects a circle at two distinct points
SECANT
an adjective describing something that is easily bent, shaped, or influenced
pliable
the phenomenon where time measured by one observer differs from time measured by another observer
TIME DILATION
a function formed by applying one function to the result of another
COMPOSITE FUNCTION
a proof technique introduced by Georg Cantor showing that some infinite sets are strictly larger than others
DIAGONAL ARGUMENT
The longest diameter of an ellipse, passing through its center and through the two most distant points on the ellipse
MAJOR AXIS
a function between two topological spaces that is bijective (one‑to‑one and onto), continuous, and has a continuous inverse
homeomorphism
the spreading out, loss, or gradual disappearance of energy, matter, or intensity
DISSIPATION
a complex‑valued function of a complex variable that is complex‑differentiable at every point in an open set of the complex plane
HOLOMORPHIC FUNCTION
that cannot be directly compared, measured, or evaluated using the same standard, scale, or criteria
INCOMMENSURABLE
a concept used mainly in geometry, analytic geometry, and astronomy which describes how much a conic section deviates from being a circle
ECCENTRICITY
a central concept in topology that formalizes the idea of continuously deforming one shape or one function into another
HOMOTOPY
hostile, aggressive, or confrontational behavior, especially an attitude that shows readiness to fight or argue
BELLIGERENCE
a point at which a mathematical object (such as a function) is not well‑behaved—for example, it may be undefined, discontinuous, or infinite
SINGULARITY
there is no set whose cardinality is strictly between that of the integers and the real numbers
CONTINUUM HYPOTHESIS
the line segment that passes through the two vertices, and connects them directly through the center of the hyperbola
TRANSVERSE DIAMETER
to give or provide someone or something with a particular quality, ability, or attribute, often something permanent or inherent
ENDOW WITH
causing disagreement, argument, or controversy
CONTENTIOUS
the act of saving, recovering, or rescuing something from loss, damage, or destruction
SALVAGE
one part, aspect, or side of something complex, especially when the whole cannot be fully understood without considering all its parts
FACET