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Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
Breaking a symmetric 256-bit key by brute force requires 2 128 times more computational power than a 128-bit key. One of the fastest supercomputers in 2019 has a speed of 100 petaFLOPS which could theoretically check 100 trillion (10 14 ) AES keys per second (assuming 1000 operations per check), but would still require 3.67×10 55 years to ...
In mathematical terms, Hamming codes are a class of binary linear code. For each integer r ≥ 2 there is a code-word with block length n = 2r − 1 and message length k = 2r − r − 1. Hence the rate of Hamming codes is R = k / n = 1 − r / (2r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal ...
The Hafele–Keating experiment was a test of the theory of relativity. In 1971, [ 1] Joseph C. Hafele, a physicist, and Richard E. Keating, an astronomer, took four caesium -beam atomic clocks aboard commercial airliners. They flew twice around the world, first eastward, then westward, and compared the clocks in motion to stationary clocks at ...
qudit ( d -dimensional) v. t. e. The general definition of a qubit as the quantum state of a two- level quantum system. In quantum computing, a qubit ( / ˈkjuːbɪt /) or quantum bit is a basic unit of quantum information —the quantum version of the classic binary bit physically realized with a two-state device.
Linear-feedback shift register. In computing, a linear-feedback shift register ( LFSR) is a shift register whose input bit is a linear function of its previous state. The most commonly used linear function of single bits is exclusive-or (XOR). Thus, an LFSR is most often a shift register whose input bit is driven by the XOR of some bits of the ...
The Deutsch–Jozsa algorithm is a deterministic quantum algorithm proposed by David Deutsch and Richard Jozsa in 1992 with improvements by Richard Cleve, Artur Ekert, Chiara Macchiavello, and Michele Mosca in 1998. [ 1][ 2] Although of little practical use, it is one of the first examples of a quantum algorithm that is exponentially faster ...
Instructions per second. Instructions per second ( IPS) is a measure of a computer 's processor speed. For complex instruction set computers (CISCs), different instructions take different amounts of time, so the value measured depends on the instruction mix; even for comparing processors in the same family the IPS measurement can be problematic.