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6
votes
2answers
118 views

polynomial time in?

Related to exponential in terms of? (nonetheless different from it): Assume that you have an algorithm (producing gizmos) whose inputs are three numbers t, d, and h, which are interpreted by a human ...
5
votes
2answers
797 views

“1 + 1 should equal 2” or “1 + 1 should equal to 2”; which one is correct?

Which of the following is correct? 1 + 1 should equal 2. 1 + 1 should equal to 2. "equal" or "equal to"?
5
votes
1answer
2k views

“Generalize on/to/for” in mathematical texts?

Suppose I have the following piece of mathematical text: Theorem 1. All natural numbers satisfy ABC. The following theorem generalizes Theorem 1 to the real numbers: Theorem 2. All real numbers ...
3
votes
1answer
2k views

raise by? from?

If the original premium is 100 USD, and the insurance company announced that it would be raised to minimum 105, and maximum 110, which one is correct? The premium will rise by 5 to 10 percent. The ...
2
votes
2answers
187 views

Omitting a preposition to avoid repetition

What is correct/better? We consider questions related to analysis of real numbers and to probability theory. We consider questions related to analysis of real numbers and probability theory. ...
2
votes
2answers
44 views

My really old wonder: “defined by” v.s. “defined as”

I understand the following sentence: The rule was defined as ~~~~ by John. It can be shortened by omitting "as ~~~~" or "by John", like The rule was defined as ~~~~. The rule was defined ...
2
votes
1answer
3k views

“correspondence from A to B” or “correspondence between A and B”

Usually we are familiar with the usage: "correspondence between A and B" but can we also use: "correspondence from A to B" ? Does the 2nd case grammatically work, too? Here the ...
1
vote
2answers
546 views

until July 28th - meaning

That's all the homework UNTIL July 28th When we say until July 28th , do we count day 28 as well? or does it say all assignments were marked before day 28? While we are it , do we say day 28th or ...
1
vote
1answer
83 views

Using on or in for geometric points, planes, and coordinate systems

When to use "on" and "in" prepositions in math: Point on/in the plane Point on/in the cartesian coordinate system
1
vote
1answer
108 views

Defining a ball in mathematics

Which are appropriate phrases to define a ball? Let $B$ be the open ball of radius $r$ centered at $x$. Let $B$ be the open ball of radius $r$ around $x$. Let $B$ be the open ball of radius $r$ about ...
0
votes
2answers
56 views

Confusion between “where” and “with”

When I am reading some articles related to engineering or mathematics, I see many times the usage of "where" and "with" interchangeably. For example, f is the utility function mapping from S to R, ...
0
votes
1answer
18 views

Can “among” mean “for” in a mathematical context?

Suppose the following self made example in the mathematics context: The slop is identical for all the cases of n = 1,2,3, ... , 10. Can I reword this as The slop is identical among all the ...
0
votes
1answer
176 views

Applications to …?

I want to express in that something has applications in a related field. Is applications to partial differential equations correct or is is necessary to change the preposition?
-1
votes
1answer
24 views

“What is the probability both houses will be completed after 7 weeks?” meaning

When the question asks if the houses will be completed "after 7 weeks", someone says; it isn't asking if it will take greater than 7 weeks to complete the houses. "After 7 weeks" means "as soon as ...