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  2. Principal parts - Wikipedia

    en.wikipedia.org/wiki/Principal_parts

    In Latin, most verbs have four principal parts.For example, the verb for "to carry" is given as portō – portāre – portāvī – portātum, where portō is the first-person singular present active indicative ("I carry"), portāre is the present active infinitive ("to carry"), portāvī is the first-person singular perfect active indicative ("I carried"), and portātum is the neuter supine.

  3. English modal auxiliary verbs - Wikipedia

    en.wikipedia.org/wiki/English_modal_auxiliary_verbs

    The English modal auxiliary verbs are a subset of the English auxiliary verbs used mostly to express modality (properties such as possibility and obligation). [a] They can most easily be distinguished from other verbs by their defectiveness (they do not have participles or plain forms [b]) and by their lack of the ending ‑ ( e) s for the ...

  4. Principal axis theorem - Wikipedia

    en.wikipedia.org/wiki/Principal_axis_theorem

    Mathematically, the principal axis theorem is a generalization of the method of completing the square from elementary algebra. In linear algebra and functional analysis, the principal axis theorem is a geometrical counterpart of the spectral theorem. It has applications to the statistics of principal components analysis and the singular value ...

  5. nth root - Wikipedia

    en.wikipedia.org/wiki/Nth_root

    n th root. n. th root. In mathematics, taking the nth root is an operation involving two numbers, the radicand and the index or degree. Taking the nth root is written as , where x is the radicand and n is the index (also sometimes called the degree). This is pronounced as "the nth root of x". The definition then of an nth root of a number x is ...

  6. Eigenvalues and eigenvectors - Wikipedia

    en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors

    Eigenvalues and eigenvectors. In linear algebra, it is often important to know which vectors have their directions unchanged by a given linear transformation. An eigenvector ( / ˈaɪɡən -/ EYE-gən-) or characteristic vector is such a vector. Thus an eigenvector of a linear transformation is scaled by a constant factor when the linear ...

  7. Square root - Wikipedia

    en.wikipedia.org/wiki/Square_root

    Square root. Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 52 (5 squared). In mathematics, a square root of a number x is a number y such that ; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1] For example, 4 and −4 are square roots of 16 ...

  8. Matrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(mathematics)

    In mathematics, a matrix ( pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a " matrix ...

  9. Japanese language - Wikipedia

    en.wikipedia.org/wiki/Japanese_language

    Japanese (日本語, Nihongo, [ɲihoŋɡo] ⓘ) is the principal language of the Japonic language family spoken by the Japanese people. It has around 120 million speakers, primarily in Japan, the only country where it is the national language, and within the Japanese diaspora worldwide. The Japonic family also includes the Ryukyuan languages ...