How Do You Spell ORTHOGONALISE?

Pronunciation: [ˈɔːθəɡˌɒnəlˌa͡ɪz] (IPA)

Orthogonalise (/ɔːθəˈɡɒnəlaɪz/) is a relatively uncommon term in English spelling, but it refers to a specific mathematical process of converting data points into linearly independent vectors that are all orthogonal to one another. The spelling of the word can be broken down phonetically as "aw-thuh-gaw-nuh-lahyz," with emphasis on the syllables "THO" and "GA" and a soft "I" sound at the end. Its intricate spelling and pronunciation highlight the technical nature of the process it describes, which is highly specialized and used primarily within the field of mathematics.

ORTHOGONALISE Meaning and Definition

1. Orthogonalise is a verb that is derived from the mathematical term "orthogonal." It refers to a process of transforming or organizing something in a manner that makes it orthogonal or perpendicular to a reference point or system. In mathematics, orthogonal vectors are those that are at right angles to each other, meaning they are independent and do not overlap or affect each other.

   When applied outside of mathematics, orthogonalise can be used broadly to describe the act of rearranging or reconfiguring elements or components in a way that makes them independent from one another or unrelated to a specific reference. This may involve harmonizing or aligning different aspects or perspectives in order to avoid overlap, conflict, or interference.

   In various fields, such as data analysis or signal processing, orthogonalisation techniques are employed to separate or isolate different variables or components to simplify their analysis. It can also be used more generally in problem-solving or decision-making contexts, where orthogonalising different factors or variables can help in reducing complexity and facilitating the understanding or resolution of an issue.

   Orthogonalisation can involve a variety of techniques or approaches depending on the context or domain in question. These may include statistical methods, transformational procedures, or logical reasoning. The goal of orthogonalising is to create a clear separation or independence between different elements, enabling a more organized and unambiguous analysis or understanding.

Etymology of ORTHOGONALISE

The word "orthogonalize" is derived from the term "orthogonal", which has its roots in ancient Greek.

The Greek term "orthos" means "straight" or "right", while "gonia" refers to "angle". Therefore, "orthogonal" combines these elements to signify something that is at a right angle or perpendicular.

In mathematics and linear algebra, "orthogonalization" is the process of finding a set of vectors that are perpendicular or orthogonal to each other. It refers to transforming a given set of vectors into a new set of orthogonal vectors.

The term "orthogonalize" is a verb form of "orthogonalization" and is used to describe the act of making or transforming something into an orthogonal state or structure.

Conjugate verb Orthogonalise

CONDITIONAL

I would orthogonalise

you would orthogonalise

he/she/it would orthogonalise

we would orthogonalise

they would orthogonalise

CONDITIONAL CONTINUOUS

I would be orthogonalising

you would be orthogonalising

he/she/it would be orthogonalising

we would be orthogonalising

they would be orthogonalising

CONDITIONAL PERFECT

I would have orthogonalise

you would have orthogonalise

he/she/it would have orthogonalise

we would have orthogonalise

they would have orthogonalise

CONDITIONAL PERFECT CONTINUOUS

I would have been orthogonalising

you would have been orthogonalising

he/she/it would have been orthogonalising

we would have been orthogonalising

they would have been orthogonalising

FUTURE

I will orthogonalise

you will orthogonalise

he/she/it will orthogonalise

we will orthogonalise

they will orthogonalise

FUTURE CONTINUOUS

I will be orthogonalising

you will be orthogonalising

he/she/it will be orthogonalising

we will be orthogonalising

they will be orthogonalising

FUTURE PERFECT

I will have orthogonalised

you will have orthogonalised

he/she/it will have orthogonalised

we will have orthogonalised

they will have orthogonalised

FUTURE PERFECT CONTINUOUS

I will have been orthogonalising

you will have been orthogonalising

he/she/it will have been orthogonalising

we will have been orthogonalising

they will have been orthogonalising

IMPERATIVE

you orthogonalise

we let´s orthogonalise

NONFINITE VERB FORMS

to orthogonalise

PAST

I orthogonalised

you orthogonalised

he/she/it orthogonalised

we orthogonalised

they orthogonalised

PAST CONTINUOUS

I was orthogonalising

you were orthogonalising

he/she/it was orthogonalising

we were orthogonalising

they were orthogonalising

PAST PARTICIPLE

orthogonalised

PAST PERFECT

I had orthogonalised

you had orthogonalised

he/she/it had orthogonalised

we had orthogonalised

they had orthogonalised

PAST PERFECT CONTINUOUS

I had been orthogonalising

you had been orthogonalising

he/she/it had been orthogonalising

we had been orthogonalising

they had been orthogonalising

PRESENT

I orthogonalise

you orthogonalise

he/she/it orthogonalises

we orthogonalise

they orthogonalise

PRESENT CONTINUOUS

I am orthogonalising

you are orthogonalising

he/she/it is orthogonalising

we are orthogonalising

they are orthogonalising

PRESENT PARTICIPLE

orthogonalising

PRESENT PERFECT

I have orthogonalised

you have orthogonalised

he/she/it has orthogonalised

we have orthogonalised

they have orthogonalised

PRESENT PERFECT CONTINUOUS

I have been orthogonalising

you have been orthogonalising

he/she/it has been orthogonalising

we have been orthogonalising

they have been orthogonalising