gptkbp:instanceOf
|
gptkb:mathematical_concept
|
gptkbp:codomain
|
[-1, 1]
|
gptkbp:domain
|
All real numbers
|
gptkbp:evenOrOdd
|
Odd function
|
gptkbp:Fourier_transform
|
(π/i)[δ(ω-1)-δ(ω+1)]
|
https://www.w3.org/2000/01/rdf-schema#label
|
Sine
|
gptkbp:integration
|
-Cosine
|
gptkbp:inverse_function
|
Arcsine
|
gptkbp:Laplace_transform
|
1/(s^2+1)
|
gptkbp:notableDerivative
|
Cosine
|
gptkbp:period
|
2π
|
gptkbp:relation_to_Euler's_formula
|
sin(x) = (e^{ix} - e^{-ix})/(2i)
|
gptkbp:relation_to_unit_circle
|
y-coordinate of point at angle θ
|
gptkbp:symbol
|
single
|
gptkbp:Taylor_series_at_0
|
x - x^3/3! + x^5/5! - x^7/7! + ...
|
gptkbp:used_in
|
gptkb:Computer_graphics
gptkb:Mathematics
gptkb:Physics
gptkb:geometry
gptkb:robot
gptkb:signal_processing
gptkb:Calculus
gptkb:Probability_theory
gptkb:Control_theory
gptkb:Differential_equations
gptkb:Acoustics
gptkb:Trigonometry
Astronomy
Electronics
Engineering
Fourier analysis
Meteorology
Music
Telecommunications
Statistics
Navigation
Geophysics
Electrical engineering
Civil engineering
Complex analysis
Mechanical engineering
Seismology
Oscillations
Harmonic motion
Wave equations
|
gptkbp:value_at_0
|
0
|
gptkbp:value_at_2π
|
0
|
gptkbp:value_at_3π/2
|
-1
|
gptkbp:value_at_π
|
0
|
gptkbp:value_at_π/2
|
1
|
gptkbp:bfsParent
|
gptkb:Hellvisback
|
gptkbp:bfsLayer
|
5
|