Scaling Nonequal Values.

xwhaletailx

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Apr 5, 2020
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1) Start with two constants (k = 200 & h = 200). Then introduce two new variables, (a = 10.5 & b = 8.9). What I'm doing is scaling k and h equally, inversely and relative to the variables. So in this example, my equation would be c = (10.5-8.9)/(10.5+8.9). Then k = k*(1+c) and h = h*(1-c). Ultimately this gives me h = 183.5 and k = 216.5, which if divided, equates to 0.848 which is is equivalent to 8.9/10.5, right. This checks out.

2. Now what about when k and h are not equal? For example where k = 600 & h = 400 and still, a = 10.5 & b = 8.9. How do I cope with this and get the same result where k and h equally and inversely scale the right amount to equate to 8.9/10.5? Obviously k, being 600, would scale down in this scenario and h would scale up. How can I go about this? Thank you for any help.
 
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