What is the precise definition of, "Differs in exactly one element"?

In summary, the phrase "differs in exactly one element" refers to a comparison between two objects or sets where they have all but one element in common. This means that only one element is different between the two objects or sets. The main difference between "differs in exactly one element" and "differs in more than one element" is the number of elements that are different between the two objects or sets. "Differs in exactly one element" can apply to any type of objects or sets and can be useful in scientific experiments to identify and compare differences. Other similar phrases or terms include "differs by only one element", "differing by one element", and "differing in a single element".
  • #1
Jarvis323
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Do {1,2,3} and {1,2} differ in, or by exactly one element? Or do those two things mean the same thing. Also, what about {1,2,3} and {1,2,4}.
 
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  • #2
If you want to be precise use symbols instead of words, but in normal usage:
{1,2,3} and {1,2} differ by exactly one element
{1,2,3} and {1,2,4} differ in exactly one element
 

FAQ: What is the precise definition of, "Differs in exactly one element"?

What does "differs in exactly one element" mean?

The phrase "differs in exactly one element" refers to a comparison between two objects or sets where they have all but one element in common. This means that only one element is different between the two objects or sets.

How is "differs in exactly one element" different from "differs in more than one element"?

The main difference is the number of elements that are different between the two objects or sets. "Differs in exactly one element" means that only one element is different, while "differs in more than one element" indicates that two or more elements are different.

Can "differs in exactly one element" apply to any type of objects or sets?

Yes, the phrase can apply to any type of objects or sets as long as they have elements that can be compared. This includes numbers, letters, words, sentences, and more.

How can "differs in exactly one element" be useful in scientific experiments?

This phrase can be useful in identifying and comparing differences between two groups or samples. It can also be used to determine the level of similarity or dissimilarity between objects or sets.

Are there any other similar phrases or terms to "differs in exactly one element"?

Yes, some other phrases or terms that have similar meanings include "differs by only one element", "differing by one element", and "differing in a single element". They all refer to a comparison where only one element is different between the two objects or sets.

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