The phrase "arithmetic series" is correct and usable in written English.
It can be used in mathematical contexts to refer to a sequence of numbers in which the difference between consecutive terms is constant.
Example: "The sum of the first ten terms of the arithmetic series can be calculated using the formula."
Alternatives: "arithmetic progression" or "arithmetic sequence".
In number theory he proved the existence of an infinite number of primes in any arithmetic series a + b, 2a + b, 3a + b,..., na + b, in which a and b are not divisible by one another.
Therefore, the weights of periods are determined by the arithmetic series.
We could make even more relaxed assumption by considering the cluster sizes following arithmetic series cN, 2cN,…, kcN, where c is a constant in range [0,1].
For instance, in the case of an arithmetic series one could assign a value of 0.7 to the highest journal category and reduce this weight downwards in steps of (c=0.1).
Finally, the FT also expresses the following concern: the European average series, which I computed by making a simple arithmetic series between France, Britain and Sweden, should have been computed using population weighted averages.
For the test disinfectants dettol, purit, savlon and jik, four dilutions were made, varied in arithmetic series, changing by the unit of 50; these are 1 200, 1 250, 1 300 and 1 350.
He is the author of five previous books in this series: Arithmetic Moduli of Elliptic Curves (with Barry Mazur); Gauss Sums, Kloosterman Sums, and Monodromy Groups; Exponential Sums and Differential Equations; Rigid Local Systems; and Twisted L-Functions and Monodromy.
The essence of Napier's discovery is that this constitutes a generalization of the relation between the arithmetic and geometric series; i.e., multiplication and raising to a power of the values of the X point correspond to addition and multiplication of the values of the L point, respectively.
With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series.
from a definition pertaining to the arithmetic of infinite series, and that it is blatantly unacceptable to deduce empirical propositions from mere definitions.
This treatise contains: a naming scheme for numbers from 10 up to 1024, formulas for obtaining cubes of sums; techniques for least common denominators (LCM), techniques for combinations C r n = n ( n − 1 ) ( n − 2 ) ⋯ ( n − r + 1 ) / r !, techniques for solving linear, quadratic as well higher order equations, arithmetic and geometric series, and techniques for calculating areas and volumes.
