How Do You Spell ORTHOGONALIZE?

Pronunciation: [ɔːθˈɒɡənə͡lˌa͡ɪz] (IPA)

The word "orthogonalize" (ɔːθəˈɡɒnəlaɪz) is spelled with the letter combination "th" instead of "t" because it is derived from the Greek word "orthogōnios" (ˌɔːrθəˈɡəʊniəs), meaning "at right angles." The "th" sound is a common representation of the Greek letter theta (θ), which is used in many technical terms in mathematics and science. To spell the word correctly, break it down into its two parts, "ortho-" and "-gonalize," and remember to use the "th" sound in the first syllable.

Meaning and Definition
Etymology
Conjugate verb
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ORTHOGONALIZE Meaning and Definition

  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.

Etymology of ORTHOGONALIZE

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

CONDITIONAL

I would orthogonalize
you would orthogonalize
he/she/it would orthogonalize
we would orthogonalize
they would orthogonalize

CONDITIONAL CONTINUOUS

I would be orthogonalizing
you would be orthogonalizing
he/she/it would be orthogonalizing
we would be orthogonalizing
they would be orthogonalizing

CONDITIONAL PERFECT

I would have orthogonalize
you would have orthogonalize
he/she/it would have orthogonalize
we would have orthogonalize
they would have orthogonalize

CONDITIONAL PERFECT CONTINUOUS

I would have been orthogonalizing
you would have been orthogonalizing
he/she/it would have been orthogonalizing
we would have been orthogonalizing
they would have been orthogonalizing

FUTURE

I will orthogonalize
you will orthogonalize
he/she/it will orthogonalize
we will orthogonalize
they will orthogonalize

FUTURE CONTINUOUS

I will be orthogonalizing
you will be orthogonalizing
he/she/it will be orthogonalizing
we will be orthogonalizing
they will be orthogonalizing

FUTURE PERFECT

I will have orthogonalized
you will have orthogonalized
he/she/it will have orthogonalized
we will have orthogonalized
they will have orthogonalized

FUTURE PERFECT CONTINUOUS

I will have been orthogonalizing
you will have been orthogonalizing
he/she/it will have been orthogonalizing
we will have been orthogonalizing
they will have been orthogonalizing

IMPERATIVE

you orthogonalize
we let´s orthogonalize

NONFINITE VERB FORMS

to orthogonalize

PAST

I orthogonalized
you orthogonalized
he/she/it orthogonalized
we orthogonalized
they orthogonalized

PAST CONTINUOUS

I was orthogonalizing
you were orthogonalizing
he/she/it was orthogonalizing
we were orthogonalizing
they were orthogonalizing

PAST PARTICIPLE

orthogonalized

PAST PERFECT

I had orthogonalized
you had orthogonalized
he/she/it had orthogonalized
we had orthogonalized
they had orthogonalized

PAST PERFECT CONTINUOUS

I had been orthogonalizing
you had been orthogonalizing
he/she/it had been orthogonalizing
we had been orthogonalizing
they had been orthogonalizing

PRESENT

I orthogonalize
you orthogonalize
he/she/it orthogonalizes
we orthogonalize
they orthogonalize

PRESENT CONTINUOUS

I am orthogonalizing
you are orthogonalizing
he/she/it is orthogonalizing
we are orthogonalizing
they are orthogonalizing

PRESENT PARTICIPLE

orthogonalizing

PRESENT PERFECT

I have orthogonalized
you have orthogonalized
he/she/it has orthogonalized
we have orthogonalized
they have orthogonalized

PRESENT PERFECT CONTINUOUS

I have been orthogonalizing
you have been orthogonalizing
he/she/it has been orthogonalizing
we have been orthogonalizing
they have been orthogonalizing