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Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...
In the decimal number system, completeness is equivalent to the statement that any infinite string of decimal digits is actually a decimal representation for some real number. Depending on the construction of the real numbers used, completeness may take the form of an axiom (the completeness axiom), or may be a theorem proven from the construction.
In the mathematical area of order theory, completeness properties assert the existence of certain infima or suprema of a given partially ordered set (poset). The most familiar example is the completeness of the real numbers. A special use of the term refers to complete partial orders or complete lattices. However, many other interesting notions ...
In statistics, completeness is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. It is opposed to the concept of an ancillary statistic. While an ancillary statistic contains no information about the model parameters, a complete statistic contains only information about the parameters, and ...
In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation is provable. That is, for every sentence φ , {\displaystyle \varphi ,} the theory T {\displaystyle T} contains the sentence or its negation but not both (that is, either T ⊢ φ ...
When writing an article, always aim for completeness. If for some reason you cannot cover a point that should be explained, make that omission explicit. You can do this either by leaving a note on the discussion page or by leaving HTML comments within the text and adding a notice to the bottom about the omissions. This has two purposes: it ...
The standard of the academic publishing industry including many journal publications. Geoscience Reporting Guidelines—for geoscience reports in industry, academia and other disciplines. [30] Handbook of Technical Writing, by Gerald J. Alred, Charles T. Brusaw, and Walter E. Oliu.—for general technical writing.
Academic style has often been criticized for being too full of jargon and hard to understand by the general public. [11] [12] In 2022, Joelle Renstrom argued that the COVID-19 pandemic has had a negative impact on academic writing and that many scientific articles now "contain more jargon than ever, which encourages misinterpretation, political spin, and a declining public trust in the ...
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