de Moivre's formula

GPTKB entity

Statements (58)
Predicate Object
gptkbp:instanceOf mathematical formula
gptkbp:appliesTo roots of complex numbers
gptkbp:description relationship between complex numbers and trigonometry
gptkbp:emphasizes (cos_θ_+_i_sin_θ)^n_=_cos(nθ)_+_i_sin(nθ)
https://www.w3.org/2000/01/rdf-schema#label de Moivre's formula
gptkbp:is_a_platform_for Fourier analysis
complex integration
signal synthesis
gptkbp:is_a_subject_of theoretical physics
computational mathematics
mathematical analysis
gptkbp:is_a_time_for data compression
frequency domain analysis
solving differential equations
gptkbp:is_a_tool_for data visualization
solving polynomial equations
modeling periodic phenomena
gptkbp:is_essential_for probability theory
control theory
system dynamics
signal analysis
signal modulation
financial mathematics
gptkbp:is_evaluated_by angles and magnitudes
gptkbp:is_involved_in generalized complex exponentiation
gptkbp:is_studied_in oscillatory systems
gptkbp:is_used_in cryptography
image processing
machine learning
algorithm design
control systems
data science
signal processing
network analysis
pattern recognition
geometric transformations
complex number calculations
powers of complex numbers
quantum_mechanics
gptkbp:isConnectedTo trigonometric identities
chaos theory
wave functions
gptkbp:isUsedFor binomial theorem
gptkbp:legal_principle numerical analysis
gptkbp:previousName gptkb:Abraham_de_Moivre
gptkbp:related_to artificial intelligence
electrical engineering
the unit circle
data mining
statistical mechanics
Laplace transforms
Euler's_formula
gptkbp:suitableFor telecommunications
computer graphics
polar coordinates
robotics
bioinformatics
gptkbp:taught advanced mathematics courses