Search for a tool
Inequality Chained Notation

Tool to give upper and lower bound of a number (inequality chained notation), search for upper and lower inequalities of a number..

Results

Inequality Chained Notation -

Tag(s) : Mathematics, Notation System

Share
Share
dCode and more

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!


Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!


Feedback and suggestions are welcome so that dCode offers the best 'Inequality Chained Notation' tool for free! Thank you!

Inequality Chained Notation

Upper and Lower bound of a Number




Find a number between 2 others



Inequalities Solver

Answers to Questions (FAQ)

What are the upper and lower bounds of a number? (Definition)

The notation inequality chained (brackets) $ a < b < c $ describes a double inequality $ a < b $ and $ b < c $ by a lower bound ($ a $) and a upper bound ($ c $) of the number $ b $.

How to find upper and lower bounds of a number?

To find upper and lower bounds of a number, make rounding according to a given precision or multiple and return a result with the inequality chained notation.

Example: $ 1.23 $ rounded to one digit after decimal point to upper bound is $ 1.2 $, and $ 1.3 $ to lower bound. The representation with a double inequality is $$ 1.2 < 1.23 < 1.3 $$

dCode finds the upper bound and the lower bound of the number according to the required accuracy. Inequality is strict by default, but can sometimes introduce less than or equal signs.

Inequalities display the boundaries in order from the smallest to the biggest limit. But it is possible to write them in reverse $$ 1.3 > 1.23 > 1.2 $$

How to write a definition domain into a chaine inequality?

A domain of definition of a function is equivalent to an equality:

Example: $ x \in [0,1[ \iff 0 \leq x < 1 $

Example: $ x \in ]1,2] \iff 1 < x \leq 2 $

How to find a number between 2 other numbers?

Given 2 distinct numbers $ n_1 $ and $ n_2 $ with $ n_1 < n_2 $, then there is always an infinity of numbers between the 2, in particular the mean of the 2 numbers: $ n = (n_1 + n_2)/2 $ which is such that $ n_1 < n < n_2 $

Example: $ n_1 = 1/5 $ and $ n_2 = 1/4 $ then the mean $ n = (1/5+1/4)/2 = 9/40 $ is such that $ n_1 < n < n_2 $

Source code

dCode retains ownership of the "Inequality Chained Notation" source code. Except explicit open source licence (indicated Creative Commons / free), the "Inequality Chained Notation" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Inequality Chained Notation" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Inequality Chained Notation" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.

Cite dCode

The copy-paste of the page "Inequality Chained Notation" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Inequality Chained Notation on dCode.fr [online website], retrieved on 2024-10-07, https://www.dcode.fr/chained-inequality

Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Questions / Comments

Feedback and suggestions are welcome so that dCode offers the best 'Inequality Chained Notation' tool for free! Thank you!


https://www.dcode.fr/chained-inequality
© 2024 dCode — El 'kit de herramientas' definitivo para resolver todos los juegos/acertijos/geocaching/CTF.
 
Feedback