# All Questions

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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 ...
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"?
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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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
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 ...
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, ...
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 ...