How Do You Spell ORTHOGONALIZE?

1. Orthogonalize is a verb that refers to the process of making something or a set of things orthogonal. The term "orthogonal" comes from mathematics and refers to a relationship that is perpendicular or at right angles to each other. When applied to other fields, particularly linear algebra, computer science, or signal processing, "orthogonalize" means transforming or rearranging a set of elements or vectors so that they become orthogonal to each other.

   In mathematics, to orthogonalize a set of vectors means to modify or adjust them in a way that they become independent of each other, resulting in a set of mutually perpendicular vectors. This process is often employed in matrix calculations, where the orthogonality of vectors simplifies various operations and computations.

   In computer science and signal processing, orthogonalization is widely used to eliminate redundancy or noise from a set of data or signals. It involves transforming a set of data vectors in such a way that they become orthogonal, making it easier to analyze, manipulate, or compress the data without losing significant information.

   Overall, "orthogonalize" can be understood as the process of transforming or reconfiguring a set of elements, vectors, or data to achieve orthogonality, whereby they become independent or perpendicular to each other, leading to simplified calculations or enhanced data analysis.

The word "orthogonalize" is derived from the mathematical term "orthogonal", which refers to the concept of vectors or objects that are perpendicular or independent of each other. In mathematics and statistics, the process of orthogonalization involves transforming variables or vectors into orthogonal (perpendicular) components. The suffix "-ize" is commonly added to nouns or adjectives to form verbs indicating the action of making or causing something. Hence, "orthogonalize" is the verb form of "orthogonal", indicating the act of creating or making something orthogonal.

Conjugate verb Orthogonalize