All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
A math symbol (Posted on 2016-01-08) Difficulty: 2 of 5
Place a familiar mathematical symbol between 2 and 3 to express
a number greater than 2 and less than 3.

Watch out! There is more than one solution!

No Solution Yet Submitted by Ady TZIDON    
Rating: 2.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(3): The 3rd one | Comment 9 of 10 |
(In reply to re(2): The 3rd one by Ady TZIDON)

In re #6 "(neither a cube-root nor 2<3 qualify))".

I will agree that 2<3 does not fit the criteria, but the cube-root does.
One can find the cube-root (symbolized with a radical with a superscripted 3 as the index above the radical's hook) treated as a special character in the Unicode  character set (U+221B). The fourth-root (with a superscripted 4 as the index) is also within that set (U+221C).
As the multiplication symbol can be implied as ab = a*b, and parenthesis are not required when the symbols used do not require them, 2*cube-root 3 does fit the criteria when the Unicode symbol is used.
Since 2 < 2.884499 < 3, and 2 < 2.632148 < 3, and
2*cube-root 3 ~= 2.884499; and,
2*fourth-root 3 ~= 2.632148
both the cube-root and fourth-root symbols fit the given criteria.

Rightfully, no objection is made with 2 ln 3 and 2.3.
2 < 2.3 < 3; and
2 < 2.197224 < 3, and 2*ln 3 ~2.197224
Many functions, particularly trigonometric and hyperbolic functions (such as ArcTAN or, alternatively ATAN or tan-1 for the arctangent function) and the above natural logrithmic function, use multi-characters that represent one symbol or are treated as a single symbol.
2 < 2*tan-1 3 < 3; 2*tan-1 3 ~= 2.498092
2 < 2*sec-1 3 < 3; 2*sec-1 3 ~= 2.461919


The following should be valid solutions:

2 <          2.3          < 3
             2 ln 3
        2 cube-root 3
        2 fourth-root 3
          2 ArcTAN 3
          2 ArcSEC 3


Edited on January 9, 2016, 11:53 pm
  Posted by Dej Mar on 2016-01-09 02:07:18

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information