Перевод и анализ слов искусственным интеллектом ChatGPT
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- этимология
modulo product - перевод на русский
математика
произведение по модулю
общая лексика
модуль, по модулю
арифметический оператор, возвращающий остаток от деления двух целых чисел
математика
по модулю
Смотрите также
математика
модулярная операция
общая лексика
произведение пространств
общая лексика
множество-произведение
![<!-- specify width as minus sign vanishes at most sizes --> Calculating bond angles of a symmetrical [[tetrahedral molecular geometry]] using a dot product](https://commons.wikimedia.org/wiki/Special:FilePath/Tetrahedral angle calculation.svg?width=200 "<!-- specify width as minus sign vanishes at most sizes --> Calculating bond angles of a symmetrical [[tetrahedral molecular geometry]] using a dot product")
физика
проигрыш энергии скалярный
внутреннее произведение
математика
интегральное произведение
![[[Standard basis]] vectors ('''i''', '''j''', '''k''', also denoted '''e'''<sub>1</sub>, '''e'''<sub>2</sub>, '''e'''<sub>3</sub>) and [[vector component]]s of '''a''' ('''a'''<sub>x</sub>, '''a'''<sub>y</sub>, '''a'''<sub>z</sub>, also denoted '''a'''<sub>1</sub>, '''a'''<sub>2</sub>, '''a'''<sub>3</sub>)](https://commons.wikimedia.org/wiki/Special:FilePath/3D Vector.svg?width=200 "[[Standard basis]] vectors ('''i''', '''j''', '''k''', also denoted '''e'''<sub>1</sub>, '''e'''<sub>2</sub>, '''e'''<sub>3</sub>) and [[vector component]]s of '''a''' ('''a'''<sub>x</sub>, '''a'''<sub>y</sub>, '''a'''<sub>z</sub>, also denoted '''a'''<sub>1</sub>, '''a'''<sub>2</sub>, '''a'''<sub>3</sub>)")
![Cross product [[scalar multiplication]]. '''Left:''' Decomposition of '''b''' into components parallel and perpendicular to '''a'''. Right: Scaling of the perpendicular components by a positive real number ''r'' (if negative, '''b''' and the cross product are reversed).](https://commons.wikimedia.org/wiki/Special:FilePath/Cross product scalar multiplication.svg?width=200 "Cross product [[scalar multiplication]]. '''Left:''' Decomposition of '''b''' into components parallel and perpendicular to '''a'''. Right: Scaling of the perpendicular components by a positive real number ''r'' (if negative, '''b''' and the cross product are reversed).")
![rejection]]. The triple product is in the plane and is rotated as shown.](https://commons.wikimedia.org/wiki/Special:FilePath/Cross product triple.svg?width=200 "rejection]]. The triple product is in the plane and is rotated as shown.")
![The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the "parallel" unit bivector.](https://commons.wikimedia.org/wiki/Special:FilePath/Exterior calc cross product.svg?width=200 "The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the \"parallel\" unit bivector.")
![Finding the direction of the cross product by the [[right-hand rule]]](https://commons.wikimedia.org/wiki/Special:FilePath/Right hand rule cross product.svg?width=200 "Finding the direction of the cross product by the [[right-hand rule]]")
![According to [[Sarrus's rule]], the [[determinant]] of a 3×3 matrix involves multiplications between matrix elements identified by crossed diagonals](https://commons.wikimedia.org/wiki/Special:FilePath/Sarrus rule.svg?width=200 "According to [[Sarrus's rule]], the [[determinant]] of a 3×3 matrix involves multiplications between matrix elements identified by crossed diagonals")
общая лексика
векторное произведение
физика
проигрыш энергии векторный
Определение
Википедия
In mathematics, the term modulo ("with respect to a modulus of", the Latin ablative of modulus which itself means "a small measure") is often used to assert that two distinct mathematical objects can be regarded as equivalent—if their difference is accounted for by an additional factor. It was initially introduced into mathematics in the context of modular arithmetic by Carl Friedrich Gauss in 1801. Since then, the term has gained many meanings—some exact and some imprecise (such as equating "modulo" with "except for"). For the most part, the term often occurs in statements of the form:
- A is the same as B modulo C
which means
- A and B are the same—except for differences accounted for or explained by C.
