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Capital letters in Theorem, Conjecture etc [duplicate] The physics journals I publish in differ regarding the use of capital letters Some insist on using Equation, Figure, etc when referring to a numbered equation or figure However, they would not typically require capital letters when talking about an equation in general, such as in "We solve the equation of motions"
yields vs yields that in math context - English Language Usage . . . On the other hand, we say that a certain theorem or proposition yields a particular result when we first prove it In other words, the result isn't obvious at once Proof of the Pythagoras theorem yields the result hyp^2=base^2+perpendicular^2 ; from the (yielded) result it could be implied that hypotenuse is the longest side
Single word for something that is not yet a fact but very close? 1 Single word requests require an example phrase 2 Have you tried looking up "hypothesis" in a thesaurus? Were any of the words any good? Please include your research 3 Something which people "think is true" is a "belief" I suspect this isn't the word you're looking for, but it may also be worth trying in a thesaurus
Is there any consensus on the capitalization of theories? Should the name of theories be capitalized? Does this depend on convention, the particular theory itself, or whether or not it contains a proper name? I appreciate any input, thank you!
Formal writing: replace in fact in a sentence Specifically, I am looking to remove "in fact" in favour of a more formal word or phrase I considered "Veritably, we will prove a stronger condition:", but it didn't feel right I am also happy to be told "in fact" is formal enough EDIT: The sentence that precedes this sentence reads: Proving Theorem 1 hinges on demonstrating that
it has proved or it has been proved [duplicate] The relevant usages of the verb prove here are prove [verb] [transitive verb] 1a: to establish the existence, truth, or validity of (as by evidence or logic) prove a theorem the charges were never proved in court [it was proved that smoking damages health] [intransitive verb]: to turn out especially after trial or test the new drug proved effective [Merriam-Webster; amended] So the second