Number crunching curios

[LastPoet]

Does anyone know why nine works the way it does?

GC

Simplifying, it is because after 9 in the the decimal system, you need to 'carry one' into the next position. It happens whenever you try to make a representation of said number in a given base. 0xf,ffffffffffffffffffffffffffffffff.... is equal to 10 in hexadecimal base, 16 in decimal. If you will, it is a flaw on our representation of decimal numbers, as the same number can have more than one decimal presentation (or any other base). To mathematical concern, it is sufficient to represent 1 or 0,99999999999.... as the same number.

We are taught in the decimal system, and it does provide us with ease on calculations, all of those that want to learn more should take a course in Analisys.

[Godscreated]

Does anyone know why nine works the way it does?

GC

Simplifying, it is because after 9 in the the decimal system, you need to 'carry one' into the next position. It happens whenever you try to make a representation of said number in a given base. 0xf,ffffffffffffffffffffffffffffffff.... is equal to 10 in hexadecimal base, 16 in decimal. If you will, it is a flaw on our representation of decimal numbers, as the same number can have more than one decimal presentation (or any other base). To mathematical concern, it is sufficient to represent 1 or 0,99999999999.... as the same number.

We are taught in the decimal system, and it does provide us with ease on calculations, all of those that want to learn more should take a course in Analisys.

I was thinking some what along those lines but, not to that degree. Was wanting to know if I was on the right trail, thanks for the reply.

GC

[BrianSoddingBoru4]

I thought the "times tables" went up to 12 for younglings? I am only 25 so this isn't a "when I was at school" rant, nobody else have to go to 12?

When I was at school (mid-late 1970s) we were required to learn (by which I mean 'memorize') the multiplication table through 24x24 and the natural logarithm of the first 100 integers to a precision of 4 digits.

I think this is why I never became a mathematician.

Boru

[Sejanus]

cos(pi/2^n) gives a nested surd of the form ((2 + (2 + (2...)^1/2)^1/2)^1/2)/2 where you get n - 1 nested square roots in the numerator. I thought it was cool

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This is somewhat unrelated, but I love the elegance of multiplying by an integrating factor, e^({ p(x)dx) to make the integration of differential equations of the form dy/dx + p(x)y = q(x) (where p(x) and q(x) are understood to be functions of x) a breeze. By the way, I used the squiggly bracket { above to represent the integral sign.

[Belac Enrobso]

Does anyone know why nine works the way it does?

GC

Heard before, post in different thread please or would you so kindly STFU & GTFO

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69^1/2= 8 something... Right?