‘Then are equivalent’ (followed by a list) in mathematical writing

In mathematical writing, I’ve often seen people use the expression ‘Then are equivalent’ to introduce a list of conditions that are logically equivalent to each other (and I’ve used it myself a few times). E.g., here is an excerpt from the bottom of p. 6 (right column) in a 2015 open-access article from Nature Communications … Read more

The use of conjunction “and” to avoid repetition

I apologize if my question seems trivial for people who study literature and English language in depth. My question is basically related to the following statements: The existence of X The convergence of X to Y Here, X and Y are nouns. So I would like to ask the following questions: Assuming I combine statement … Read more

Is there a better alternative for “remainderless”?

I want to express in one word whether a number has a remainder or not. as an example: 3.5 is not remainderless 3 is remainderless It might seem that something like “3 is whole” or “3 is an integer” fits better but it is important that remainders, floating points or decimals are directly adressed. Why … Read more

French: “triangle rectangle” in English?

How could I say “triangle rectangle” in English? For non-french people, it’s a triangle which has an angle of 90°. Answer In a comment, user240918 wrote: A right triangle (American English) or right-angled triangle (British English): Wikipedia AttributionSource : Link , Question Author : Kureteiyu , Answer Author : JJJ

Parsing an English to Math expression question, is this ambiguous?

I’m an instructor of a College Algebra course. The computer gave the following question, which I saw as ambiguous: Computer question: Write the corresponding algebraic expression or equation for the verbal statement. Let x represent the unknown number. The quotient of one and five times a number. The problem is where does one put in … Read more

Referencing (multiple) objects within a collection of objects

In mathematical writing, when talking about multiple objects within a collection of objects, is it correct to say, “This set contains all objects x from the collection C such that x satisfies .”? Specifically, is the expression “contains all objects x…such that x satisfies ” correct? X is treated as singular here. Answer Mathematician here. … Read more