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Orthogonality

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Translation orthogonality into russian

orthogonality
Noun
raiting
The orthogonality of the vectors is crucial for simplifying the calculations.
Ортогональность векторов имеет решающее значение для упрощения вычислений.

Definitions

orthogonality
Noun
raiting
The quality or state of being orthogonal, often referring to the property of being perpendicular or at right angles in geometry or mathematics.
The orthogonality of the two vectors was crucial for solving the problem in linear algebra.
In mathematics and statistics, the condition of two functions or vectors being orthogonal, meaning their inner product is zero, indicating they are independent or uncorrelated.
The orthogonality of the basis functions simplifies the computation of Fourier coefficients.
In computer science, the concept of orthogonality refers to the ability to use various features of a system independently of each other.
The orthogonality of the programming language's features allows developers to write more modular and maintainable code.

Idioms and phrases

orthogonality principle
The orthogonality principle is fundamental in signal processing.
принцип ортогональности
Принцип ортогональности является основополагающим в обработке сигналов.
preserve orthogonality
Transformations must preserve orthogonality to ensure correct calculations.
сохранять ортогональность
Преобразования должны сохранять ортогональность для обеспечения правильных вычислений.
orthogonality condition
The orthogonality condition is used to simplify the analysis of linear systems.
условие ортогональности
Условие ортогональности используется для упрощения анализа линейных систем.
lack orthogonality
The vectors lack orthogonality, leading to inaccuracies in the results.
отсутствие ортогональности
Вектора испытывают отсутствие ортогональности, что приводит к неточностям в результатах.
achieve orthogonality
It is important to achieve orthogonality in the design of antenna arrays.
достигать ортогональности
Важно достигать ортогональности при проектировании антенных решеток.