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The expression literally means "before the letter", i.e., "before it had a name". A French modern alternative form of this expression is avant l'heure. avoirdupois used in Middle English, avoir de pois = commodities sold by weight, alteration of Old French aveir de peis = "goods of weight".
For most main verbs the auxiliary is (the appropriate form of) avoir ("to have"), but for reflexive verbs and certain intransitive verbs the auxiliary is a form of être ("to be"). The participle agrees with the subject when the auxiliary is être, and with a preceding direct object (if any) when the auxiliary is avoir.
There are two auxiliary verbs in French: avoir (to have) and être (to be), used to conjugate compound tenses according to these rules: Transitive verbs (direct or indirect) in the active voice are conjugated with the verb avoir. Intransitive verbs are conjugated with either avoir or être (see French verbs#Temporal auxiliary verbs).
The first English grammar, Bref Grammar for English by William Bullokar, published in 1586, does not use the term "auxiliary" but says: All other verbs are called verbs-neuters-un-perfect because they require the infinitive mood of another verb to express their signification of meaning perfectly: and be these, may, can, might or mought, could, would, should, must, ought, and sometimes, will ...
A formal expression is a kind of string of symbols, created by the same production rules as standard expressions, however, they are used without regard to the meaning of the expression. In this way, two formal expressions are considered equal only if they are syntactically equal, that is, if they are the exact same expression.
Because of issues like this, template coders sometimes find themselves needing to distinguish between different combinations of three states: defined-and-non-blank, defined-and-blank, and undefined. This can be done in the following ways (the first positional parameter is used here, but named parameters work the same way).
Expression templates have been found especially useful by the authors of libraries for linear algebra, that is, for dealing with vectors and matrices of numbers. Among libraries employing expression template are Dlib , Armadillo , Blaze , [ 5 ] Blitz++ , [ 6 ] Boost uBLAS, [ 7 ] Eigen , [ 8 ] POOMA, [ 9 ] Stan Math Library , [ 10 ] and xtensor ...
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