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A term that doesn't contain any variables is called a ground term; a term that doesn't contain multiple occurrences of a variable is called a linear term. For example, 2+2 is a ground term and hence also a linear term, x⋅(n+1) is a linear term, n⋅(n+1) is a non-linear term. These properties are important in, for example, term rewriting.
The criteria combine to identify the boys as the subject in sentence 1. But if that is the case, then one might argue that the boys is also the subject in the similar sentence 2, even though two of the criteria (agreement and position occupied) suggest that a chaotic force around here is the subject. When confronted with such data, one has to ...
The term was coined when variables began to be used for sets and mathematical structures. onto A function (which in mathematics is generally defined as mapping the elements of one set A to elements of another B) is called "A onto B" (instead of "A to B" or "A into B") only if it is surjective; it may even be said that "f is onto" (i. e ...
In the last example, it is highly unlikely that fish is the subject and so that word order can be used. In some languages, auxiliary rules of word order can provide enough disambiguation for an emphatic use of OVS. For example, declarative statements in Danish are ordinarily SVnO, with "n" being is the position of negating or modal adverbs ...
A definition of a function, set, or other mathematical object that is defined in terms of itself, using a base case and a rule for generating subsequent elements. recursive function A function that can be computed by a procedure that calls itself, directly or indirectly, with a base case to prevent infinite recursion. recursive function theory
A major sentence is a regular sentence; it has a subject and a predicate, e.g. "I have a ball." In this sentence, one can change the persons, e.g. "We have a ball." However, a minor sentence is an irregular type of sentence that does not contain a main clause, e.g. "Mary!", "Precisely so.", "Next Tuesday evening after it gets dark."
A noun such as Fred or a noun phrase such as the book cannot qualify as subject and direct object, respectively, unless they appear in an environment, e.g. a clause, where they are related to each other and/or to an action or state. In this regard, the main verb in a clause is responsible for assigning grammatical relations to the clause ...
When defining a term, do not use the phrase "if and only if". For example, instead of A function f is even if and only if f(−x) = f(x) for all x; write A function f is even if f(−x) = f(x) for all x. If it is reasonable to do so, rephrase the sentence to avoid the use of the word "if" entirely. For example,