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No. 1225 was well known to be the basis for the locomotive used in the 2004 film The Polar Express, earning itself the nickname "the real Polar Express". The Pere Marquette used No. 1225 in regular service from the locomotive's construction in 1941 until the railroad merged into the Chesapeake and Ohio Railway (C&O) in 1947; It remained in use ...
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.
x is the argument of the complex number (angle between line to point and x-axis in polar form). The notation is less commonly used in mathematics than Euler's formula, e ix, which offers an even shorter notation for cos x + i sin x, but cis(x) is widely used as a name for this function in software libraries.
Get a behind-the-scenes look at what keeps "The Polar Express Train Ride" chugging in OKC. It runs through Dec. 27 at the Oklahoma Railway Museum.
A conductor stands in the snow waiting for passengers to board Oklahoma City's "The Polar Express" Train Ride, produced by Rail Events Productions, Nov. 10, 2022.
In arithmetic, a complex-base system is a positional numeral system whose radix is an imaginary (proposed by Donald Knuth in 1955 [1] [2]) or complex number (proposed by S. Khmelnik in 1964 [3] and Walter F. Penney in 1965 [4] [5] [6]).
An illustration of the complex plane. The imaginary numbers are on the vertical coordinate axis. Although the Greek mathematician and engineer Heron of Alexandria is noted as the first to present a calculation involving the square root of a negative number, [6] [7] it was Rafael Bombelli who first set down the rules for multiplication of complex numbers in 1572.
The express is led by the historic locomotive, Pere Marquette 1225, which was used as the blueprint for the Polar Express train in the film and has been shuffling folks through the snow every ...