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For example, in probability theory, integrals are used to determine the probability of some random variable falling within a certain range. [48] Moreover, the integral under an entire probability density function must equal 1, which provides a test of whether a function with no negative values could be a density function or not.
For example, mass is an intrinsic property of any physical object, whereas weight is an extrinsic property that depends on the strength of the gravitational field in which the object is placed. Applications in science and engineering
An extensional definition gives meaning to a term by specifying its extension, that is, every object that falls under the definition of the term in question.. For example, an extensional definition of the term "nation of the world" might be given by listing all of the nations of the world, or by giving some other means of recognizing the members of the corresponding class.
Two other well-known examples are when integration by parts is applied to a function expressed as a product of 1 and itself. This works if the derivative of the function is known, and the integral of this derivative times is also known. The first example is (). We write this as:
In linguistics and grammar, a sentence is a linguistic expression, such as the English example "The quick brown fox jumps over the lazy dog." In traditional grammar , it is typically defined as a string of words that expresses a complete thought, or as a unit consisting of a subject and predicate .
The declarative sentence is the most common kind of sentence, and can be considered the default form: when a language forms a question or a command, it will be a modification of the declarative. A declarative states an idea (either objectively or subjectively on the part of the speaker; and may be either true or false) for the purpose of ...
An example: If you’re squatting, envision your glutes, quads, hamstrings, and core firing up. Not only will this heighten focus and attention to proper form, but it keeps the correct muscles ...
Examples (17a-c) are structural violations, (17a) violates the Specified Subject Condition, and (17b-c) violate Subjacency, while (17d) is a grammatical control sentence. It was found that since the violations were structural in nature, participants with familial sinistrality were less sensitive to violations in such as the ones found(17a-c ...