complex number
Real plus imaginary
A complex number is a number that combines a real part with an imaginary part—typically written as a + bi, where i represents the square root of negative one.
Complex numbers extend ordinary arithmetic into two dimensions, allowing solutions to equations that have no real answers.
They're fundamental in electrical engineering, quantum mechanics, and signal processing.
Modify verbs grammatically
- modulusAbsolute value operation
- magnitudeSize or scale
- argumentReasoned case or dispute
- absolute valueNon-negative distance from zero
Joining quantities mathematically
- subtractionRemoving quantities mathematically
- multiplicationProduct-finding operation
- divisionSplitting into parts
- conjugateModify verbs grammatically
polynomial · quadratic · root · zero · equation · binomial · coefficient · factoring
Starting point or source
- pointExact location or meaning
- vectorQuantity with direction
- magnitudeSize or scale
- directionWay something faces
angle · plotting · Cartesian · coordinate · position · unit circle · locus · region
e^(ix) relates to trigonometry
- unit circleRadius-one circle at origin
- periodicityRecurring at regular intervals
- identityWho someone is
- rotationTurning on an axis
AC circuit opposition
- signal processingMathematical manipulation of waveforms
- frequency responseOutput versus input frequencies
- control systemsMechanisms maintaining desired outputs
- electrical engineeringStudy of circuits and power
Quantum state's mathematical representation
- superpositionCoexisting in multiple states
- qubitQuantum information unit
- quantum stateSubatomic system's complete description
- phaseDistinct period in sequence
interference · Schrodinger equation · eigenvalue · observable · spin · unitary · quantum mechanics
Point where values explode
- poleCylindrical shaft or extremity
- differentiableHaving a derivative
- continuityUninterrupted progression or coherence
- harmonicOf musical overtones
conjugate
Modify verbs grammatically
addition
Joining quantities mathematically
- subtractionRemoving quantities mathematically
- multiplicationProduct-finding operation
- divisionSplitting into parts
conjugate · polynomial · quadratic · root · zero · equation · binomial · coefficient · factoring · solution
origin
Starting point or source
direction · angle · plotting · Cartesian · coordinate · position · unit circle · locus · region · quadrant
Euler's formula
e^(ix) relates to trigonometry
- unit circleRadius-one circle at origin
- periodicityRecurring at regular intervals
- identityWho someone is
impedance
AC circuit opposition
- signal processingMathematical manipulation of waveforms
- frequency responseOutput versus input frequencies
- control systemsMechanisms maintaining desired outputs
wavefunction
Quantum state's mathematical representation
- superpositionCoexisting in multiple states
- qubitQuantum information unit
- quantum stateSubatomic system's complete description
phase · interference · Schrodinger equation · eigenvalue · observable · spin · unitary · quantum mechanics
singularity
Point where values explode
- poleCylindrical shaft or extremity
- differentiableHaving a derivative
- continuityUninterrupted progression or coherence
- numbersone, two, four, three, 0
- number formatsinteger, decimal, binary, percentage, hexadecimal
- complex analysismodulus, analytic, singularity, pole, residue
- data typesint, integer, float, char, bool
- math termsnumbers, plus or minus, linear growth, square, operand
- algebravariables, equations, equation, polynomials, algebraic equations
complex numberreal number
Value on continuous line
real · integer · natural number · whole number · counting number
number, complex, complexity, complexes, complexed, complex numbers