Intereting Posts

Why is $\cos(2x)=\cos^2(x)-\sin^2(x)$ and $\sin(2x)=2\sin(x)\cos(x)$?
What is the cardinality of the set of all sequences in $\mathbb{R}$ converging to a real number?
Generalized Alternating harmonic sum $\sum_{n\geq 1}\frac{\left(1-\frac{1}{2}+\frac{1}{3}-\cdots \pm \frac{1}{n}\right)}{n^p}$
Fitting an exponential function to data
Combinatorics question about Taking Days Off
Confidence band for Brownian Motion with uniformly distributed hitting position
$A^{T}A$ positive definite then A is invertible?
Find the sum : $\frac{1}{\cos0^\circ\cos1^\circ}+\frac{1}{\cos1^\circ \cos2^\circ} +\frac{1}{\cos2^\circ \cos3^\circ}+…+$
How to prove $b=c$ if $ab=ac$ (cancellation law in groups)?
Is closure of convex subset of $X$ is again a convex subset of $X$?
Closed formula for the sum of the following series
Prove/Disprove: For any sets $X$ and $Y$, $\overline{X\cap Y} = \bar{X}\cup\bar{Y}$
Find an example of a sequence not in $l^1$ satisfying certain boundedness conditions.
Proving that any rational number can be represented as the sum of the cubes of three rational numbers
Splitting of conjugacy class in alternating group

I am making a game where you want a skill value to modify some in game values. With a scale that goes from half to double. 50% to 200%. If I’d do it linear 125% will be the centre but I want the centre to be 100%.

I want a mathematical function:

- Where I input and number from 0 to 100.
- And get out a number from 0.5 to 2 or from 50% to 200%.
- The function maps 0 to 0.5.
- The function maps 50 to 1.
- The function maps 100 to 2.
- And I would like it to follow a logarithmic scale.
- I do not care what happens outside the specified range.

I have made this Google Docs document which shows my plan B.

- Solve first order matrix differential equation
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- Is “imposing” one function onto another ever used in mathematics?
- Chain rule for discrete/finite calculus

I hope someone out there can help me this has been a mathematical problem that has bugged me for years.

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- How to show an infinite number of algebraic numbers $\alpha$ and $\beta$ for $_2F_1\left(\frac14,\frac14;\frac34;-\alpha\right)=\beta\,$?
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- Let $f:\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f'(x)$ is continuous and $|f'(x)|\le|f(x)|$ for all $x\in\mathbb{R}$
- Finding roots of a function with mean value theorem
- Given $|f(x)|=1$,how to construct an $f(x)$, such that $\int ^{+\infty }_{0}f\left( x\right) dx$ converges

If $x$ is your input between $0$ and $100$, then $2^{\left(\frac{x}{50}-1\right)}=\exp(\frac{\ln 2}{50}x-1)$ will range from $.5$ to $2$ as specified.

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