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Characteristic equation in Irish (Sainchothromóid): Meaning, Pronunciation, Usage

The Irish for characteristic equation is sainchothromóid, a feminine noun (plural sainchothromóidí).
Updated October 2026Report a mistake

How to say “characteristic equation” in Irish

Irish:
sainchothromóid
English:
characteristic equation
Word type:
noun
Gender:
feminine
Pronunciation:
“SAN-khuh-ruh-moh-ij”  /ˈsanʲˌxɔɾˠəmˠoːdʲ/
Various forms
Plural:
sainchothromóidí (characteristic equations)
Genitive singular:
sainchothromóide, na sainchothromóide (e.g. fréamhacha na sainchothromóide, the roots of the characteristic equation)
Genitive plural:
sainchothromóidí, na sainchothromóidí (e.g. réiteach sainchothromóidí, solving characteristic equations)

What does “sainchothromóid” mean?

characteristic equation
In mathematics, an equation derived from a matrix or a differential equation whose roots give important values such as eigenvalues.Also: eigenvalue equation, auxiliary equation.

“Sainchothromóid” with the article

The plural of characteristic equation in Irish is sainchothromóidí. Here is sainchothromóid after the article (an t-alt), in the singular and the plural.

an tsainchothromóid
the characteristic equation
Feminine nouns take t before s after an
na sainchothromóidí
the characteristic equations
Plural: no change after na

“Sainchothromóid” in a sentence: Irish examples

Common Irish sentences using sainchothromóid, the Irish word for characteristic equation.

Scríobh síos an tsainchothromóid don mhaitrís seo.
Write down the characteristic equation for this matrix.
Is sainchothromóid chearnach í seo.
This is a quadratic characteristic equation.
Faigh fréamhacha na sainchothromóide ar dtús.
First find the roots of the characteristic equation.
Tá dhá shainchothromóid le réiteach againn inniu.
We have two characteristic equations to solve today.
Rinne mé botún i mo shainchothromóid.
I made a mistake in my characteristic equation.
Tá na sainchothromóidí sa chaibidil seo deacair.
The characteristic equations in this chapter are difficult.
Tá an luach dílis le fáil sa tsainchothromóid.
The eigenvalue can be found in the characteristic equation.

Other nouns in Irish

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Characteristic equation in Irish: frequently asked questions

What is the Irish for characteristic equation?

The Irish for characteristic equation is sainchothromóid (pronounced “SAN-khuh-ruh-moh-ij”). It’s a feminine noun and the plural is sainchothromóidí.

How do you pronounce sainchothromóid in Irish?

Sainchothromóid is said like “SAN-khuh-ruh-moh-ij” (IPA /ˈsanʲˌxɔɾˠəmˠoːdʲ/).

What is the plural of characteristic equation in Irish?

The plural of sainchothromóid is sainchothromóidí; with the article, na sainchothromóidí means “the characteristic equations”. The genitive plural is sainchothromóidí, as in réiteach sainchothromóidí (solving characteristic equations).

Why does sainchothromóid change to shainchothromóid?

After words like mo (my) and do (your) the first letter is lenited: mo shainchothromóid. After ár (our) it stays ár sainchothromóid, because s does not take eclipsis.

How does 'sainchothromóid' differ from 'cothromóid'?

'Cothromóid' is any equation, while 'sainchothromóid' is the specific characteristic equation, formed with the prefix 'sain-' meaning special or characteristic.

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