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A determiner combines with a noun to express its reference. [1] [2] Examples in English include articles (the and a), demonstratives (this, that), possessive determiners (my, their), and quantifiers (many, both). Not all languages have determiners, and not all systems of grammatical description recognize them as a distinct category.
For example, the determiners each, enough, less, and more can function as post-head modifiers of noun phrases, as in the determiner phrase each in two seats each. [ 7 ] : 132 Enough can fill the same role in adjective phrases (e.g., clear enough ) and in adverb phrases (e.g., funnily enough ).
Examples include the special orthogonal group (which if n is 2 or 3 consists of all rotation matrices), and the special unitary group. Because the determinant respects multiplication and inverses, it is in fact a group homomorphism from GL n ( K ) {\displaystyle \operatorname {GL} _{n}(K)} into the multiplicative group K × {\displaystyle K ...
a; a few; a little; all; an; another; any; anybody; anyone; anything; anywhere; both; certain (also adjective) each; either; enough; every; everybody; everyone ...
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .
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Example (1) takes a universal reading: the sentence is true for all cats, and so can be paraphrased as All cats are animals (1'). Example (2) is a general statement that holds for most cats; it can be paraphrased as Most cats like fish (2'). Example (3) is a statement that holds of some cats; it can be paraphrased as There are some cats ...