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The complex number z can be represented in rectangular form as = + where i is the imaginary unit, or can alternatively be written in polar form as = ( + ) and from there, by Euler's formula, [14] as = = . where e is Euler's number, and φ, expressed in radians, is the principal value of the complex number function arg applied to x + iy ...
The Polar Express is a children's book by Chris Van Allsburg. The Polar Express or Polar Express may also refer to: The Polar Express (film), a 2004 animated film The Polar Express (soundtrack), the film's soundtrack; The Polar Express (video game), a 2004 video game based on the film
When the Polar Express passes Herpolsheimer's, the kids cheer and rush to the train's windows. This is the first indication of the film's setting in Grand Rapids, Michigan, where the department ...
Once the radius is fixed, the three coordinates (r, θ, φ), known as a 3-tuple, provide a coordinate system on a sphere, typically called the spherical polar coordinates. The plane passing through the origin and perpendicular to the polar axis (where the polar angle is a right angle) is called the reference plane (sometimes fundamental plane).
The Polar Express received "generally unfavorable" reviews according to video game review aggregator Metacritic. [19] [20] [6] [7]Reviewing the console versions of the game for GameSpot, Avery Score felt the experience was "a soulless video game cash-in on the movie" and that it would "leave even the youngest of tykes painfully aware that they've been cheated."
In this polar decomposition, the unit circle has been replaced by the line x = 1, the polar angle by the slope y/x, and the radius x is negative in the left half-plane. If x 2 ≠ y 2, then the unit hyperbola x 2 − y 2 = 1 and its conjugate x 2 − y 2 = −1 can be used to form a polar decomposition based on the branch of the unit hyperbola ...
January is shaping up to be the coldest in a decade as the polar vortex dips south across the eastern half of the United States — shocking a nation that has enjoyed an unusually balmy end of the ...
Graphs of roses are composed of petals.A petal is the shape formed by the graph of a half-cycle of the sinusoid that specifies the rose. (A cycle is a portion of a sinusoid that is one period T = 2π / k long and consists of a positive half-cycle, the continuous set of points where r ≥ 0 and is T / 2 = π / k long, and a negative half-cycle is the other half where r ...