Meaning of mathematic operator

Click For Summary

Homework Help Overview

The discussion revolves around the mathematical operators "≤" (less than or equal to) and a notation referred to as "less than over equal to," which features two lines under the 'less than' symbol. Participants are exploring the distinctions and applications of these notations in mathematics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about the difference between the two notations and their usage. Questions are raised regarding whether they are interchangeable and under what circumstances one might be preferred over the other.

Discussion Status

Some participants have provided insights suggesting that the two notations may represent the same concept, yet others are questioning this assertion and seeking further clarification. There is an ongoing exploration of the implications of these notations in specific contexts, such as vector inequalities.

Contextual Notes

Participants have referenced external sources, such as Wikipedia, to aid their understanding, indicating a search for deeper insights into the topic. There is also mention of potential differences in meaning when applied to vector inequalities, which remains a point of confusion.

songoku
Messages
2,514
Reaction score
395

Homework Statement


What is the difference between ≤ (less than or equal to) and "less than over equal to" (the operator is similar but there are 2 lines under the 'less than' operator)


Homework Equations


none


The Attempt at a Solution


I simply do not know the difference. And how to use the operator "less than over equal to" ?

Thanks
 
Physics news on Phys.org
songoku said:

Homework Statement


What is the difference between ≤ (less than or equal to) and "less than over equal to" (the operator is similar but there are 2 lines under the 'less than' operator)

Homework Equations


none

The Attempt at a Solution


I simply do not know the difference. And how to use the operator "less than over equal to" ?

Thanks

They mean the same thing; they are just two slightly different notations for the same concept.

RGV
 
Last edited:
Ray Vickson said:
They mean the same thing; they are just two slightly notations for the same concept.

RGV

If they mean the same thing (I mean 100% same, no difference at all), why are there two notations?

Maybe this will help me more:
1. Is x ≤ 3 the same as x less than over equal to 3 ?

2. Are there any cases we must use "less than over equal to", not ≤ ?

Thanks RGV
 
eumyang said:

I don't really understand that vector inequalities. I think it means that in vector inequalities, if x ≤ y, it means that x ≠ y.

Maybe you want to tell me that one of the application of "less than over equal to" is in vector inequalities.

Thanks
 
Last edited by a moderator:

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
659