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Usually, the meaning of x ′ is defined when it is first used, but sometimes, its meaning is assumed to be understood: A derivative or differentiated function: in Lagrange's notation, f ′ (x) and f ″(x) are the first and second derivatives of f (x) with respect to x. Likewise for f ‴(x) and f ⁗(x).
Alchemical symbols were used to denote chemical elements and compounds, as well as alchemical apparatus and processes, until the 18th century. Although notation was partly standardized, style and symbol varied between alchemists.
When f is a function of several variables, it is common to use "∂", a stylized cursive lower-case d, rather than "D". As above, the subscripts denote the derivatives that are being taken. For example, the second partial derivatives of a function f(x, y) are: [6]
This lists the character tables for the more common molecular point groups used in the study of molecular symmetry.These tables are based on the group-theoretical treatment of the symmetry operations present in common molecules, and are useful in molecular spectroscopy and quantum chemistry.
Lagrange's notation for the derivative: If f is a function of a single variable, ′, read as "f prime", is the derivative of f with respect to this variable. The second derivative is the derivative of f ′ {\displaystyle f'} , and is denoted f ″ {\displaystyle f''} .
F-prime cell contains F-plasmid that integrates with the chromosomal DNA and carries part of the chromosomal DNA along with it while being excised from the chromosome. Thus F-prime plasmid is the plasmid, containing part of the chromosomal DNA which can be transferred to recipient cell, along with the plasmid during conjugation. [4]
All prime numbers from 31 to 6,469,693,189 for free download. Lists of Primes at the Prime Pages. The Nth Prime Page Nth prime through n=10^12, pi(x) through x=3*10^13, Random primes in same range. Interface to a list of the first 98 million primes (primes less than 2,000,000,000) Weisstein, Eric W. "Prime Number Sequences". MathWorld.
The well-formed terms and propositions of ordinary first-order logic have the following syntax: . Terms: (, …,),that is, a term is recursively defined to be a constant c (a named object from the domain of discourse), or a variable x (ranging over the objects in the domain of discourse), or an n-ary function f whose arguments are terms t k.