Cube root

[chrisheaven]

is that the best/only way to express z in polar form?

 

[milagros317]

Another way is to write

z = r*( cos(theta) + i*sin(theta) )

In either case, r = |z| and theta is the angle measured counterclockwise from the positive x-axis to the ray from the origin to z. 😀

 

[chrisheaven]

a more elegant way to express z in polar form imo

 

[milagros317]

Polar form is wonderful for finding not only cube roots but n-th roots as well. 😀 😛

 

[chrisheaven]

I love that to the nth degree

 

[milagros317]

Leonhard Euler thought it was a great thing, too. 😀

 

[chrisheaven]

what are the mathematical odds of discovering that one has a twin after say more than 40 years? lol

 

[milagros317]

Make that more than 50 years. 😀

 

[chrisheaven]

ok---does that significantly alter the odds?? lol

 

[milagros317]

Since I don't have a twin, the odds are 1 to 0 against. 😀

 

[chrisheaven]

very good!

 

[milagros317]

Did you know that if the odds are a to b in favor of an event (where a and b are positive integers), then its probability is a/(a+b) ?
😀

 

[chrisheaven]

yes- I did know that

 

[milagros317]

That shows that you are wise. 😀
To get back on topic, the cube root of 8/125 is 2/5. 😀

 

[chrisheaven]

and of 27/8 is 3/2

 

[milagros317]

And of -1/1331 is -1/11 😀

 

[chrisheaven]

and of cuba?

 

[milagros317]

All I know about Cuba is that some really talented baseball players have run away from there. 😀

 

[chrisheaven]

I don't blame them either

 

[milagros317]

Indeed, Livan Hernandez (born in Villa Clara, Cuba) has earned over $40 million playing baseball in the U.S. since he fled from Cuba. 😀

 

[chrisheaven]

thats more than he could have made in Cuba

 

[milagros317]

Yes, about $40 million dollars more. 😀

 

[chrisheaven]

probably more than that even lol

 

[milagros317]

I can't legally go to Cuba now, but I don't want to anyway. 😀

 

[chrisheaven]

I can go-but i am not sure I would want to either