Hyphenation for “eigenvalues”
Showing how to split the syllables of “eigenvalues”.
What is the correct hyphenation for “eigenvalues”? The purpose of hyphenation is to separate a word such as "eigenvalues" because otherwise it would be too long and would no longer fit on one line. This separation not only saves space it improves the visually flow of the text. This word separation exists in most languages. In English, the word separation of “eigenvalues” is based on the speech syllables. The separating syllable in linguistics is therefore the smallest group of sounds in the natural flow of speech.
As a separator, the classic hyphen is usually used: „eigenvalues“ ⟶
„eigen-val-ues“.
Hyphens are occasionally used to denote syllabification, as in syl-la-bi-fi-ca-tion. Various British and North American dictionaries use an interpunct, sometimes called a "middle dot" or "hyphenation point", for this purpose, as in syl·la·bi·fi·ca·tion. This allows the hyphen to be reserved only for places where a hard hyphen is intended (for example, self-con·scious, un·self-con·scious, long-stand·ing). Similarly, hyphens may be used to indicate how a word is being or should be spelled. For example, W-O-R-D spells "word".
Definitions of "eigenvalues"
eigenvalues >> /ˈʌɪɡənˌvaljuː/
Definition: [noun] Each of a set of values of a parameter for which a differential equation has a non-zero solution (an eigenfunction) under given conditions.
Example: He showed that in this case the integral equation had real eigenvalues, and the solutions corresponding to these eigenvalues he called eigenfunctions.
Definition: [noun] Any number such that a given matrix minus that number times the identity matrix has zero determinant.
Example: In particular he proved results on the existence of matrices with given eigenvalues and given diagonal elements.