exponentials
Numbers with exponents
Exponentials are quantities or functions involving exponents—numbers raised to powers.
In mathematics, exponential growth or decay describes processes where the rate of change is proportional to the current value, producing curves that rise or fall dramatically: The exponentials got out of hand quickly.
The term appears in technical contexts discussing rates, curves, or mathematical expressions involving powers.
Raised power indicators
- powersAbilities or authorities held
- baseSupporting bottom structure
- growth rateSpeed of increase
- logarithmsExponent-finding operations
e · natural log · Euler · calculus · functions · curves · notation · indices
Multiplying by two
- compound interestReturns on reinvested earnings
- population growthIncrease in inhabitants over time
- viral spreadPathogen transmission between hosts
- hockey stickCurved implement for ice sports
inflection point · acceleration · runaway · snowball effect · Moore's law · proliferation · multiplication · scaling
Semiconductor switching devices
- bandwidthData transmission capacity
- processing speedMental information-handling rate
- storage capacityRoom for data
- network effectsValue increasing with participation
digital transformation · singularity · disruption · silicon · microchips · quantum leap · scalability · cloud computing
Elements merging progressively
- interest ratesPrice paid for borrowing
- investment growthRise in portfolio value
- returnsProfits from investments
- wealth accumulationProcess of gathering assets
dividends · reinvestment · portfolio · inflation · debt spiral · leverage · appreciation · yield
exponents
Raised power indicators
- powersAbilities or authorities held
- baseSupporting bottom structure
- growth rateSpeed of increase
logarithms · e · natural log · Euler · calculus · functions · curves · notation · indices · squared
doubling
Multiplying by two
- compound interestReturns on reinvested earnings
- population growthIncrease in inhabitants over time
- viral spreadPathogen transmission between hosts
hockey stick · inflection point · acceleration · runaway · snowball effect · Moore's law · proliferation · multiplication · scaling · geometric progression
transistors
Semiconductor switching devices
- bandwidthData transmission capacity
- processing speedMental information-handling rate
- storage capacityRoom for data
network effects · digital transformation · singularity · disruption · silicon · microchips · quantum leap · scalability · cloud computing
compounding
Elements merging progressively
- interest ratesPrice paid for borrowing
- investment growthRise in portfolio value
- returnsProfits from investments
wealth accumulation · dividends · reinvestment · portfolio · inflation · debt spiral · leverage · appreciation · yield · principal
- mathematical functionssine function, logarithm, trigonometric functions, linear functions, quadratic functions
- mathaddition, subtraction, multiplication, division, algebra
- mathematicsalgebra, arithmetic, calculus, geometry, number
- linear logictensor, par, with, plus, of course
- precalculusfunctions, polynomials, trigonometry, logarithms, domain
- Engineering Mathcalculus, algebra, linear algebra, differential equations, matrices
exponentialslinear growth
Increase at constant rate
linear functions · steady growth · gradual change · plateaus · stagnation
exponentialslogarithms
Exponent-finding operations
inverse functions · linear functions · logs · polynomials · constants
exponentialsstraight lines
Unbent one-dimensional figures
horizontal lines · flat lines · asymptotes · plateaus · S-curves
- exponential growthQuantity multiplying proportionally over time
- exponential functionOutput multiplies by fixed ratio
- exponential decayProportional decrease over time
- exponential curveGraph of doubling quantities