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In mathematical logic, the compactness theorem states that a set of first-order sentences has a model if and only if every finite subset of it has a model. This theorem is an important tool in model theory, as it provides a useful (but generally not effective) method for constructing models of any set of sentences that is finitely consistent.
Zero to the power of zero, denoted as 0 0, is a mathematical expression that can take different values depending on the context. In certain areas of mathematics, such as combinatorics and algebra, 0 0 is conventionally defined as 1 because this assignment simplifies many formulas and ensures consistency in operations involving exponents.
A sentence of time served may result from plea bargains in which in exchange for only receiving a sentence that involves no additional period of incarceration, a defendant accepts a guilty plea. Additional terms of sentence that may accompany a sentence of served also include a probation, a fine, or unpaid community service. [2]
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It's Christmas Eve — and if you still need a gift this year, we've found all the best ones that don't require any shipping. This list includes gift cards, date nights, subscription services, and ...
Instead, a big push came from food (up 0.4%) and energy prices, which rose 0.2% and posted the category’s first increase in six months. New and used cars also saw price increases of 0.6% and 2% ...
The U.S. Preventive Services Task Force released a draft recommendation advising against using vitamin D to prevent falls and fractures in people over 60. Pharmacist Katy Dubinsky weighs in.
The following sentences and verses possess "similarity in structure" in words and phrases: She tried to make the law clear, precise and equitable. [2] In the quote above, the compounded adjectives serve as parallel elements and support the noun "law". Her purpose was to impress the ignorant, to perplex the dubious, and to confound the ...