Definitions for empty product
empty prod·uct

WiktionaryRate this definition:0.0 / 0 votes

1. empty productnoun

   The result of multiplying no numbers (defined in order to be able to extend certain mathematical concepts, such as the product of n numbers, to the case where n = 0).

WikipediaRate this definition:0.0 / 0 votes

1. Empty product

   In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. It is by convention equal to the multiplicative identity (assuming there is an identity for the multiplication operation in question), just as the empty sum—the result of adding no numbers—is by convention zero, or the additive identity. When numbers are implied, the empty product becomes one. The term empty product is most often used in the above sense when discussing arithmetic operations. However, the term is sometimes employed when discussing set-theoretic intersections, categorical products, and products in computer programming; these are discussed below.

WikidataRate this definition:0.0 / 0 votes

1. Empty product

   In mathematics, an empty product, or nullary product, is the result of multiplying no factors. It is equal to the multiplicative identity 1, given that it exists for the multiplication operation in question, just as the empty sum—the result of adding no numbers—is zero, or the additive identity. When a mathematical recipe says "multiply all the numbers in this list", and the list contains, say, 2, 3, 2 and 4, we multiply first the first number by the second, then the result by the third, and so on until the end of the list, so the product of would be 48. If the list contains only one number, so that we cannot multiply first by second, common convention holds that the 'product of all' is that same number, and if the list has no numbers at all, the 'product of all' is 1. This value is necessary to be consistent with the recursive definition of what a product over a sequence means. For example, In general, we define The empty product is used in discrete mathematics, algebra, the study of power series, and computer programs. The term "empty product" is most often used in the above sense when discussing arithmetic operations. However, the term is sometimes employed when discussing set-theoretic intersections, categorical products, and products in computer programming; these are discussed below.

How to pronounce empty product?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say empty product in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of empty product in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of empty product in Pythagorean Numerology is: 5

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Empty_Product
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Empty_Product
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=empty product