Challenge - "Highscore" output equation

Question

I need an equation capable of processing 2 inputs to make one output that is either = to input 1 or 2. This is how it works.

Since it is working with scores and such, Input1 will be "Last Score", and Input2 will be "Current High Score". This equation I need has to compare the two, and whichever is higher, output that number.

I don't know if this is possible, just thought of this as an interesting challenge.

HARDER CHALLENGE
Do it only with +,-,/,x

$$\lim_{x\to\infty}\sqrt[x]{a^x+b^x}$$ $$\lim_{x\to\infty}\frac 1{\sqrt[x]{a^{-x}+b^{-x}}}$$ — abiessu, Sep 03 '14 at 15:28

score 1 · Answer 1 · answered Sep 03 '14 at 15:32

1

One possible way to do this that has simple computation is using the $\operatorname{sign}$ function to discriminate whereas $x-y$ is negative or positive, and add/substract accordingly:

$$f(x,y)=\frac{1}{2}\Bigl(x+y+x\operatorname{sign}(x-y)+y\operatorname{sign}(y-x)\Bigr)$$

answered Sep 03 '14 at 15:32

cjferes

2,216

Also, note that it's mostly done with the basic operations $+,-,/,\times$. – cjferes Sep 03 '14 at 17:36

Challenge - "Highscore" output equation

1 Answers1