e/Empty sum

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has glosseng: In mathematics, the empty sum, or nullary sum, is a summation involving no terms at all. The value of an empty sum is zero.
lexicalizationeng: empty sum
instance of(noun) the branch of pure mathematics dealing with the theory of numerical calculations
arithmetic
Meaning
French
has glossfra: En mathématiques, la somme vide est le résultat dune addition daucun nombre. Sa valeur numérique est par convention égale à zéro. Ce fait est particulièrement utile en mathématiques et en particulier en algèbre. Un cas simple et bien connu est 0.a = 0. La multiplication dune nombre quelconque a par zéro donne toujours comme résultat zéro, parce que nous avons ajouté zéro copie de a, cest-à-dire rien.
lexicalizationfra: somme vide
Italian
has glossita: In matematica si usa lespressione somma vuota quando in una addizione non ci sono addendi. Una tale situazione capita ad esempio quando lindice inferiore di una sommatoria è più grande dellindice superiore, come in :\sum_i=2}^1 f(i). In questo caso infatti non cè alcun indice i che soddisfi la condizione richiesta (essere contemporaneamente minore di 1 e maggiore di 2), dunque non ci sono addendi da poter sommare.
lexicalizationita: somma vuota
Portuguese
has glosspor: Na matemática a soma vazia é o resultado da adição de nenhum número, como em um somatório, por exemplo. Seu valor numérico é 0, o elemento neutro da adição.
lexicalizationpor: soma vazia
Thai
has glosstha: ผลรวมว่าง ในทางคณิตศาสตร์ หมายถึงผลของการบวกจำนวนที่ไม่มีอยู่ เช่นจากผลรวม (summation) เป็นต้น ค่าของผลรวมว่างจะเท่ากับศูนย์ ซึ่งเป็นเอกลักษณ์การบวก
lexicalizationtha: ผลรวมว่าง

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