How Do You Spell COMPACTIFY?

Pronunciation: [kəmpˈaktɪfˌa͡ɪ] (IPA)

The word "compactify" is spelled with a "c," "o," "m," "p," "a," "c," "t," "i," and "f," followed by a "y" to denote its verb form. It is pronounced /kəmˈpæktɪfaɪ/ and refers to the process of making a space more compact or finite. This word combines the root "compact," meaning dense or closely packed, and the suffix "ify," suggesting the act of making or causing something. "Compactify" is commonly used in mathematics and physics, particularly in the fields of topology and geometry.

COMPACTIFY Meaning and Definition

1. Compactify is a verb that refers to the process of making a mathematical space more compact. In mathematics, a compact space is a topological space that is closed and bounded, meaning that it contains all its limit points and can be contained within a finite region. However, not all spaces are naturally compact, and thus compactification is often used to modify a space to satisfy compactness criteria.

   The process of compactification typically involves adding new elements or points to the original space in a way that preserves its essential properties while making it compact. This can be done by extending the space with additional boundaries or by embedding it into a larger, more inclusive space.

   Compactification has applications in various areas of mathematics, such as topology, geometry, and analysis. It allows for the study of more general or infinite spaces, which may have important properties or symmetries that are not apparent in their natural form. Compactification enables the formulation and analysis of theorems and concepts that rely on compactness, such as compact operators or compact groups.

   Overall, compactify is a verb used to describe the process of modifying a mathematical space to make it compact, which often involves adding new elements or extending the space in a way that preserves its essential features.

Etymology of COMPACTIFY

The word "compactify" is derived from the term "compact", which originates from the Latin word "compactus". In Latin, "compactus" connotes being closely joined or pressed together. The suffix "-ify" is derived from the Latin suffix "-ificare", which means "to make" or "to cause". So, when combined, "compactify" essentially means "to make compact" or "to cause something to become compact". In mathematics and theoretical physics, "compactify" refers to a process of adding additional points, boundaries, or dimensions to a space in order to make it compact.

Conjugate verb Compactify

CONDITIONAL

I would compactify

you would compactify

he/she/it would compactify

we would compactify

they would compactify

CONDITIONAL CONTINUOUS

I would be compactifying

you would be compactifying

he/she/it would be compactifying

we would be compactifying

they would be compactifying

CONDITIONAL PERFECT

I would have compactify

you would have compactify

he/she/it would have compactify

we would have compactify

they would have compactify

CONDITIONAL PERFECT CONTINUOUS

I would have been compactifying

you would have been compactifying

he/she/it would have been compactifying

we would have been compactifying

they would have been compactifying

FUTURE

I will compactify

you will compactify

he/she/it will compactify

we will compactify

they will compactify

FUTURE CONTINUOUS

I will be compactifying

you will be compactifying

he/she/it will be compactifying

we will be compactifying

they will be compactifying

FUTURE PERFECT

I will have compactified

you will have compactified

he/she/it will have compactified

we will have compactified

they will have compactified

FUTURE PERFECT CONTINUOUS

I will have been compactifying

you will have been compactifying

he/she/it will have been compactifying

we will have been compactifying

they will have been compactifying

IMPERATIVE

you compactify

we let´s compactify

NONFINITE VERB FORMS

to compactify

PAST

I compactified

you compactified

he/she/it compactified

we compactified

they compactified

PAST CONTINUOUS

I was compactifying

you were compactifying

he/she/it was compactifying

we were compactifying

they were compactifying

PAST PARTICIPLE

compactified

PAST PERFECT

I had compactified

you had compactified

he/she/it had compactified

we had compactified

they had compactified

PAST PERFECT CONTINUOUS

I had been compactifying

you had been compactifying

he/she/it had been compactifying

we had been compactifying

they had been compactifying

PRESENT

I compactify

you compactify

he/she/it compactifies

we compactify

they compactify

PRESENT CONTINUOUS

I am compactifying

you are compactifying

he/she/it is compactifying

we are compactifying

they are compactifying

PRESENT PARTICIPLE

compactifying

PRESENT PERFECT

I have compactified

you have compactified

he/she/it has compactified

we have compactified

they have compactified

PRESENT PERFECT CONTINUOUS

I have been compactifying

you have been compactifying

he/she/it has been compactifying

we have been compactifying

they have been compactifying