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This Hasse diagram depicts a partially ordered set with four elements: a, b, the maximal element a b equal to the join of a and b, and the minimal element a b equal to the meet of a and b. The join/meet of a maximal/minimal element and another element is the maximal/minimal element and conversely the meet/join of a maximal/minimal element with ...
Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients. Polynomials: Can be generated solely by addition, multiplication, and raising to the power of a positive integer. Constant function: polynomial of degree zero, graph is a horizontal straight line
The matching is stable if there are no two elements which are not roommates and which both prefer each other to their roommate under the matching. This is distinct from the stable-marriage problem in that the stable-roommates problem allows matches between any two elements, not just between classes of "men" and "women". It is commonly stated as:
The argument of a hyperbolic function is a hyperbolic angle. A mathematical function has one or more arguments in the form of independent variables designated in the definition, which can also contain parameters. The independent variables are mentioned in the list of arguments that the function takes, whereas the parameters are not.
Words that function as compound adjectives may modify a noun or a noun phrase.Take the English examples heavy metal detector and heavy-metal detector.The former example contains only the bare adjective heavy to describe a device that is properly written as metal detector; the latter example contains the phrase heavy-metal, which is a compound noun that is ordinarily rendered as heavy metal ...
Modal verbs have a wide variety of communicative functions, but these functions can generally be related to a scale ranging from possibility ("may") to necessity ("must"), in terms of one of the following types of modality:
In the second place, the functional notion of nominal group differs from the formal notion of noun phrase because the first is anchored on the thing being described whereas the second is anchored on word classes. For that reason, one can analyse the nominal groups some friends and a couple of friends very similarly in terms of function: a thing ...
These can also include nominal sentences like "The more, the merrier." These mostly omit a main verb for the sake of conciseness but may also do so in order to intensify the meaning around the nouns. [5] Sentences that comprise a single word are called word sentences, and the words themselves sentence words. [6]