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In the mathematical field of real analysis, a simple function is a real (or complex)-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently "nice" that using them makes mathematical reasoning, theory, and proof easier. For example, simple functions attain only a finite number of values.
Example: Abdul is happy. Jeanne is a person. I am she. Subject + Verb (transitive) + Indirect Object + Direct Object Example: She made me a pie. This clause pattern is a derivative of S+V+O, transforming the object of a preposition into an indirect object of the verb, as the example sentence in transformational grammar is actually "She made a ...
In statistics, a simple random sample (or SRS) is a subset of individuals (a sample) chosen from a larger set (a population) in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.
Another family of examples of infinite simple groups is given by (), where is an infinite field and . It is much more difficult to construct finitely generated infinite simple groups. The first existence result is non-explicit; it is due to Graham Higman and consists of simple quotients of the Higman group . [ 5 ]
President Biden said former President Carter, who died Sunday, “lived a life measured not by words but by deeds.” In a Sunday night speech from the U.S. Virgin Islands, Biden added that Carter ...
One well known example, [17] for comedic effect, is from A Midsummer Night's Dream by William Shakespeare (ignoring the punctuation provides the alternate reading). Enter QUINCE for the Prologue Prologue If we offend, it is with our good will. That you should think, we come not to offend, But with good will. To show our simple skill,
Not every module has a simple submodule; consider for instance the Z-module Z in light of the first example above. Let M and N be (left or right) modules over the same ring, and let f : M → N be a module homomorphism. If M is simple, then f is either the zero homomorphism or injective because the kernel of f is a submodule of M.
For example, the noun aerobics has given rise to the adjective aerobicized. [3] Words combine to form phrases. A phrase typically serves the same function as a word from some particular word class. [3] For example, my very good friend Peter is a phrase that can be used in a sentence as if it were a noun, and is therefore called a noun phrase.