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For example, in a fiber bundle, the total space is often said to be upstairs, with the base space downstairs. In a fraction, the numerator is occasionally referred to as upstairs and the denominator downstairs, as in "bringing a term upstairs". up to, modulo, mod out by An extension to mathematical discourse of the notions of modular arithmetic.
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors.For example, 21 is the product of 3 and 7 (the result of multiplication), and (+) is the product of and (+) (indicating that the two factors should be multiplied together).
In British military practice, Mark ("Mk") designations were given in Roman numerals (replaced by Arabic numerals in 1944) to reflect variants of or production changes to service weaponry, either on their own or as part of numerical ("No.") designations; in the Lee-Enfield rifle series for example, the SMLE rifles were produced to Mk I, Mk III, and Mk V specification (with the latter two later ...
A service mark or servicemark is a trademark used in the United States and several other countries to identify a service rather than a product. [ 1 ] When a service mark is federally registered, the standard registration symbol ® or "Reg U.S. Pat & TM Off" may be used (the same symbol is used to mark registered trademarks).
An example would be a factory increasing its saleable product, but also increasing its CO 2 production, for the same input increase. [2] The law of diminishing returns is a fundamental principle of both micro and macro economics and it plays a central role in production theory. [5]
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
In algebraic notation, widely used in mathematics, a multiplication symbol is usually omitted wherever it would not cause confusion: "a multiplied by b" can be written as ab or a b. [ 1 ] Other symbols can also be used to denote multiplication, often to reduce confusion between the multiplication sign × and the common variable x .
certification of the product quality (certification mark, for example, an assay mark). In the 17th century in the English cloth trade a new class of marks was created, now called trademarks : the cloth was required to contain both the maker's mark (initials of the maker) and the mark of the clothier , indicating the capitalist who furnished the ...