Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 adj. Of, relating to, or being random numbers generated by a definite, nonrandom computational process.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Of a sequence of numbers, such that it has all the properties of a random sequence following some probability distribution (except true randomness), but is actually generated using a deterministic algorithm.
Etymologies
Examples

Provided he uses a random key only once and it is a truly random sequence generated physically – i. e, NOT the pseudorandom strings created by computers.

It does not matter that the sequence is only pseudorandom and that it was generated by a simple program.

About mind, any of its attributes, or whether there is a material difference between "random" nature and "pseudorandom design."

Based on a piano roll, to generate 88 frequencies, for a carrier to bounce between in a pseudorandom sequence, the patent she cowrote is a precursor to those ubiquitous Qualcomm chips.

The quantum randomizer will be used or the primary testing and the pseudorandom generator for the control testing.

If, for example, the crossover point for the quantum randomizer is 100ms and the crossover point for the pseudorandom generator is 400ms, this would suggest conscious decisions are directly influenced by quantum effects.

Which light is flashed is based on either a quantum effect (quantum randomizer) or an algorithmic calculation (pseudorandom generator).

Imaging playing a dice game on an algorithmic computer that uses a pseudorandom number generator to decide which numbers come up.

There were all sorts of other pseudorandom generators that people had engineered by various Mathematica methods and other means.

Frequencyhopping spread spectrum FHSS is a method of transmitting radio signals by rapidly switching a carrier among many frequency channels, using a pseudorandom sequence known to both transmitter and receiver.
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