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-   -   Relativity : the angle of vision by mathematics (https://www.mersenneforum.org/showthread.php?t=24660)

 Kebbaj 2019-08-03 21:33

Relativity : the angle of vision by mathematics

if we read an equation from right to left or from left to right could change the result of the equation,
see this equation.
8/2 (2 + 2).

If we read from right to left:
(2 + 2) = 4
4 * 2 = 8
8/8 = 1 result = 1

If we read from left to right:
8/2 = 4
4 (2 + 2) = 16
Result = 16.

Relativity : the angle of vision by mathematics.

 Kebbaj 2019-08-03 21:36

Relativity : the angle of vision by mathematics

Relativity : the angle of vision by mathematics

My language is written from right to left.
So for me the result of
8/2 (2 + 2). = 1

 a1call 2019-08-03 22:10

[QUOTE=Kebbaj;523030]Relativity : the angle of vision by mathematics

My language is written from right to left.
So for me the result of
8/2 (2 + 2). = 1[/QUOTE]

[QUOTE]
While Arabic letters are written from right-to-left, numbers in Arabic are written from left-to-right. For example: is the number "127" not "721."

[/QUOTE]

[url]https://userpages.umbc.edu/~samir1/620_Project_2/L3T1_1.htm[/url]

 Kebbaj 2019-08-03 22:42

[QUOTE=a1call;523031][url]https://userpages.umbc.edu/~samir1/620_Project_2/L3T1_1.htm[/url][/QUOTE]

Excelente remarks, for Arabic numerals. 127 does not read 721, I confess I never did attetion. But the leap from one antity to another like the () is from right to left. So my angle of vision by nature is from right to left. That's why I say "I see 1". It's not that I have reason or wrong. But I say that the angles of vision can change the results and this example proves it mathematically.

 Kebbaj 2019-08-03 23:13

[QUOTE=a1call;523031][url]https://userpages.umbc.edu/~samir1/620_Project_2/L3T1_1.htm[/url][/QUOTE]

The sense of reading the equation is a convention and not a mathematical rule like function "multiplication ,addition..".
Even Arabic numbers could have been written from right to left by convention.
because we do not touch the laws of nature.

 a1call 2019-08-03 23:15

Well the beauty of xilman's wisdom is that it doesn't matter if you rule to evaluate from left-to-right or right-to-left (which I believe is not used in any language).
As long as you give precedence to division over multiplication you end up with the same value as giving precedence to the direction of the evaluation.

Try it on
8/2*4

In any directional preference you wish.

[url]https://www.mersenneforum.org/showpost.php?p=522992&postcount=3[/url]

 Kebbaj 2019-08-03 23:46

[QUOTE=a1call;523037]Well the beauty of xilman's wisdom is that it doesn't matter if you rule to evaluate from left-to-right or right-to-left (which I believe is not used in any language).
As long as you give precedence to division over multiplication you end up with the same value as giving precedence to the direction of the evaluation.

Try it on
8/2*4

In any directional preference you wish.

[url]https://www.mersenneforum.org/showpost.php?p=522992&postcount=3[/url][/QUOTE]

BODMAS is simple to understand.

But the real beauty of the thing is "Being on the train or on the platform" seen otherwise.

But you still need two good hours !!

 VBCurtis 2019-08-04 03:00

[QUOTE=Kebbaj;523030]Relativity : the angle of vision by mathematics

My language is written from right to left.
So for me the result of
8/2 (2 + 2). = 1[/QUOTE]

Use a real fraction bar instead of a / sign, and the ambiguity resolves itself. The flaw is in the method of communication, not the mathematics.

 Kebbaj 2019-08-04 03:31

[YOUTUBE][/YOUTUBE][QUOTE=VBCurtis;523045]Use a real fraction bar instead of a / sign, and the ambiguity resolves itself. The flaw is in the method of communication, not the mathematics.[/QUOTE]

You are right a fraction has a denominator and a numerator, using the fraction bar we specify the denominatrur and the numerator as well as the embiguity will disappear.
The problem is when you make code programming you could not put a fraction bar and you are forced to use the operator "/"

Only a few specialized programs like mathematica can give you the possibility to program by changing the formatting of the code.

 Nick 2019-08-04 07:35

Polynomials from right to left

Let f,g and h be polynomials with non-zero constant term.
Write F, G and H for the polynomials you get by reversing the coefficients.
For example, if f=2x³+5x²-3x+4 then F=4x³-3x²+5x+2 (obtained by reading f from right to left).
Then fg=h if and only if FG=H.
This is a useful little trick, for example, when you need to determine whether a polynomial is irreducible.

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