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Aside from être and avoir (considered categories unto themselves), French verbs are traditionally [1] grouped into three conjugation classes (groupes): . The first conjugation class consists of all verbs with infinitives ending in -er, except for the irregular verb aller and (by some accounts) the irregular verbs envoyer and renvoyer; [2] the verbs in this conjugation, which together ...
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.
Conjugation is the variation in the endings of verbs (inflections) depending on the person (I, you, we, etc), tense (present, future, etc.) and mood (indicative, imperative, subjunctive, etc.). Most French verbs are regular and their inflections can be entirely determined by their infinitive form.
The passé composé is formed by the auxiliary verb, usually the avoir auxiliary, followed by the past participle.The construction is parallel to that of the present perfect (there is no difference in French between perfect and non-perfect forms - although there is an important difference in usage between the perfect tense and the imperfect tense).
The conjugate transpose of a matrix with real entries reduces to the transpose of , as the conjugate of a real number is the number itself. The conjugate transpose can be motivated by noting that complex numbers can be usefully represented by 2 × 2 {\displaystyle 2\times 2} real matrices, obeying matrix addition and multiplication: a + i b ≡ ...
Kunyjarta-lu Woman- ERG mara hand ku-rnu CAUS - PST parnu-nga 3SG - GEN warnta stick pirri-lpunyjarri, dig- INS kurni-rnu throw- PST kunyjarta woman kurri teenager Kunyjarta-lu mara ku-rnu parnu-nga warnta pirri-lpunyjarri, kurni-rnu kunyjarta kurri Woman-ERG hand CAUS-PST 3SG-GEN stick dig-INS throw-PST woman teenager ‘(The) woman caused her digging stick to be in (the) hand (i.e. picked up ...
Two elements , are conjugate if there exists an element such that =, in which case is called a conjugate of and is called a conjugate of . In the case of the general linear group GL ( n ) {\displaystyle \operatorname {GL} (n)} of invertible matrices , the conjugacy relation is called matrix similarity .
In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel transformation , Fenchel transformation , or Fenchel conjugate (after Adrien-Marie Legendre and Werner Fenchel ).