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lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and lcm using other algorithms which do not require known prime factorization.
In number theory, the prime omega functions and () count the number of prime factors of a natural number . Thereby ω ( n ) {\displaystyle \omega (n)} (little omega) counts each distinct prime factor, whereas the related function Ω ( n ) {\displaystyle \Omega (n)} (big omega) counts the total number of prime factors of n , {\displaystyle n ...
A pseudoprime is a probable prime (an integer that shares a property common to all prime numbers) that is not actually prime. Pseudoprimes are classified according to which property of primes they satisfy. Some sources use the term pseudoprime to describe all probable primes, both composite numbers and actual primes.
A P1-derived artificial chromosome, or PAC, is a DNA construct derived from the DNA of P1 bacteriophages and Bacterial artificial chromosome.It can carry large amounts (about 100–300 kilobases) of other sequences for a variety of bioengineering purposes in bacteria.
Transcriptional repressor CTCF also known as 11-zinc finger protein or CCCTC-binding factor is a transcription factor that in humans is encoded by the CTCF gene. [ 5 ] [ 6 ] CTCF is involved in many cellular processes, including transcriptional regulation , insulator activity, V(D)J recombination [ 7 ] and regulation of chromatin architecture.
PRIME (probe incorporation mediated by enzymes) is a molecular biology research tool developed by Alice Y. Ting and the Ting Lab at MIT for site-specific labeling of proteins in living cells with chemical probes. [1] [2] Probes often have useful biophysical properties, such as fluorescence, and allow imaging of proteins. [1]
The F factor was the first plasmid to be discovered. Unlike other plasmids, F factor is constitutive for transfer proteins due to a mutation in the gene finO . [ 4 ] The F plasmid belongs to F-like plasmids , a class of conjugative plasmids that control sexual functions of bacteria with a fertility inhibition (Fin) system.
Transcription factors and associated proteins that bind promoters, enhancers, or silencers to drive or repress transcription are fundamental to understanding the unique regulation of individual genes within the genome. Techniques like DNA footprinting help elucidate which proteins bind to these associated regions of DNA and unravel the ...