What is the difference between a theorem and a theory? The two words seem to be used to describe very similar things, but yet do not seem to be interchangeable. For example, we have Pythagoras' th...
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".
The word theorem comes from late Latin theōrēma and the Greek θεώρημα . If one wanted a plural form other than theorems that reflected its etymology, what would it be? I understand the standard pl...
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.
I may have this a bit wrong, but in the case of entanglement, first thought to be untestable, Bell's theorem provided an experimental scenario, recently applied.
For example "See also Pythagoras' theorem" is a grammatically correct full sentence, while, as far as I understand, "Also see Pythagoras' theorem" is not correct without a comma between "Also" and "see".
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 ...
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.
7 ex. package --> pkg theorem --> thm proof --> pf function --> fn config --> cfg (this is a bit uncommon) attribute --> attr Example sentence: This process is called _____.
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...