imaginary number
Root of negatives
An imaginary number is a number that, when squared, produces a negative result—something impossible with ordinary numbers.
The basic unit is *i*, defined as the square root of negative one.
Imaginary numbers combine with real numbers to form complex numbers, essential in electrical engineering, quantum physics, and signal processing.
Despite the name, they're not fictitious but a rigorous mathematical concept: The solution involves imaginary numbers.
Coordinate system for imaginaries
- modulusAbsolute value operation
- argumentReasoned case or dispute
- Euler's formulae^(ix) relates to trigonometry
- cisOn this side
magnitude · quaternion · bi
AC circuit opposition
- reactanceOpposition to alternating current
- signal processingMathematical manipulation of waveforms
- control systemsMechanisms maintaining desired outputs
- resonanceAmplified oscillation at natural frequency
electrical engineering · waveform · modulation · telecommunications
Involving squared terms
- equationMathematical equality assertion
- rootUnderground absorbing structure
- polynomialExpression with variable terms
- coefficientNumber multiplying a variable
binomial · quadratic formula · discriminant · square root · irrational · rational · factoring · completing the square
Imagined thing, unreal
- fictionImagined narrative work
- fantasyImaginative mental wandering
- inventedCreated something new
- conceptualOf or relating to ideas
counterintuitive · paradoxical · philosophical · ontological
complex plane
Coordinate system for imaginaries
- modulusAbsolute value operation
- argumentReasoned case or dispute
- Euler's formulae^(ix) relates to trigonometry
cis · magnitude · quaternion · bi
impedance
AC circuit opposition
- reactanceOpposition to alternating current
- signal processingMathematical manipulation of waveforms
- control systemsMechanisms maintaining desired outputs
resonance · electrical engineering · waveform · modulation · telecommunications
quadratic
Involving squared terms
- equationMathematical equality assertion
- rootUnderground absorbing structure
- polynomialExpression with variable terms
coefficient · binomial · quadratic formula · discriminant · square root · irrational · rational · factoring · completing the square · cubic
figment
Imagined thing, unreal
conceptual · counterintuitive · paradoxical · philosophical · ontological
- numbersone, two, four, three, 0
- math & science termspi, infinity, zero, billion, million
- number formatsinteger, decimal, binary, percentage, hexadecimal
- math termsnumbers, plus or minus, linear growth, square, operand
- algebravariables, equations, equation, polynomials, algebraic equations
imaginary numberreal number
Value on continuous line
rational number · integer · natural number · whole number · counting number
number, image, imagine, imagined, imaginary, imagining, imaginative, imaginable, imagery