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  2. Spanish conjugation - Wikipedia

    en.wikipedia.org/wiki/Spanish_conjugation

    For example, él, ella, or usted can be replaced by a noun phrase, or the verb can appear with impersonal se and no subject (e.g. Aquí se vive bien, 'One lives well here'). The first-person plural expressions nosotros , nosotras , tú y yo , or él y yo can be replaced by a noun phrase that includes the speaker (e.g. Los estudiantes tenemos ...

  3. Complex conjugate root theorem - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate_root_theorem

    In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b being real numbers, then its complex conjugate a − bi is also a root of P.

  4. Spanish verbs - Wikipedia

    en.wikipedia.org/wiki/Spanish_verbs

    Spanish is a relatively synthetic language with a moderate to high degree of inflection, which shows up mostly in Spanish conjugation. As is typical of verbs in virtually all languages, Spanish verbs express an action or a state of being of a given subject, and like verbs in most Indo-European languages , Spanish verbs undergo inflection ...

  5. Complex conjugate - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate

    Geometric representation (Argand diagram) of and its conjugate ¯ in the complex plane.The complex conjugate is found by reflecting across the real axis.. In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

  6. Spanish irregular verbs - Wikipedia

    en.wikipedia.org/wiki/Spanish_irregular_verbs

    Vowel raising appears only in verbs of the third conjugation (-ir verbs), and in this group it affects dormir, morir, podrir (alternative of the more common pudrir) and nearly all verbs which have -e-as their last stem vowel (e.g. sentir, repetir); exceptions include cernir, discernir and concernir (all three diphthongizing, e-ie).

  7. Spanish grammar - Wikipedia

    en.wikipedia.org/wiki/Spanish_grammar

    The hypothesis includes a requirement that a non-third person clitic is located higher on a tree than the third person clitic. In fact, clitic climbing is a common feature in Romance languages with designation of clitics as unbound morphemes where the clitic "climbs" to adjoin the verb in a higher position. [ 10 ]

  8. Matrix-free methods - Wikipedia

    en.wikipedia.org/wiki/Matrix-free_methods

    It is generally used in solving non-linear equations like Euler's equations in computational fluid dynamics. Matrix-free conjugate gradient method has been applied in the non-linear elasto-plastic finite element solver. [7] Solving these equations requires the calculation of the Jacobian which is costly in terms of CPU time and storage. To ...

  9. Conjugate gradient method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_gradient_method

    Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2). In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite.

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