asymptotes
Curves approach forever
Asymptotes is the plural of asymptote, a line that a curve approaches but never touches.
In mathematics, a graph may get infinitely close to an asymptote without crossing it: The function approaches the x-axis asymptotically.
Figuratively, an asymptote suggests a limit that can be approached but never reached: Perfection is an asymptote—you can get closer but never arrive.
Imposed maximum points
- curvesBends in a line
- infinityUnlimited extent or quantity
- convergenceProcess of approaching sameness
- graphsVisual data displays
functions · hyperbolas · approaching · tangent · calculus · boundaries · behavior · equations
Standards of perfection
- perfectionAbsence of any fault
- unattainableImpossible to acquire
- strivingEarnest sustained endeavor
- goalsIntended end results
approximation · pursuit · reaching · impossibility · aspiration · limits · potential · ceiling
Period for fifty-percent reduction
- equilibriumState of balance
- saturationState of complete permeation
- carrying capacityPopulation an environment sustains
- exponentialIncreasing by constant ratio
logarithmic · thermodynamics · steady state · maximum · baseline · plateau · diminishing returns · terminal velocity
limits
Imposed maximum points
- curvesBends in a line
- infinityUnlimited extent or quantity
- convergenceProcess of approaching sameness
graphs · functions · hyperbolas · approaching · tangent · calculus · boundaries · behavior · equations · analysis
ideals
Standards of perfection
- perfectionAbsence of any fault
- unattainableImpossible to acquire
- strivingEarnest sustained endeavor
goals · approximation · pursuit · reaching · impossibility · aspiration · limits · potential · ceiling · threshold
half-life
Period for fifty-percent reduction
- equilibriumState of balance
- saturationState of complete permeation
- carrying capacityPopulation an environment sustains
exponential · logarithmic · thermodynamics · steady state · maximum · baseline · plateau · diminishing returns · terminal velocity · reaction rates
- precalculusfunctions, polynomials, trigonometry, logarithms, exponential functions
- geometryangles, circles, angle, shapes, lines
- curvescurve, arc, curves, curls, curl
- algebravariables, equations, equation, polynomials, algebraic equations
- trigonometrysine, cosine, tangent, secant, cosecant
- Graphing CalculatorsTI-84, TI-83, TI-89, Texas Instruments, Casio
asymptotesintersections
Points where things cross
intercepts · crossings · nodes · x-intercepts · y-intercepts
asymptotesdestinations
Places one travels to
endpoints · arrivals · achievements · attainments · realizations