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21h
awarded  Caucus
21h
accepted Computing the value of a function whose derivative is another function
1d
comment Computing the value of a function whose derivative is another function
Cheers. So if $g(t)$ itself is also a function dependent on $h(t)$, I should start at the bottom, integrate each, until I arrive to the integral of $g(t)$. Am I on the right track?
1d
comment Computing the value of a function whose derivative is another function
@KSmarts Well I might need to compute $g(t)$ depending on some other function, but in the simplest case they will all boil down to a constant rate linear function.
1d
comment Computing the value of a function whose derivative is another function
@AndrewSalmon By dependent variables I meant the functions on which $f(t)$ depends on. For example the state of charge of a battery depends on time spent charging and the temperature, but temperature also changes according to time.
1d
asked Computing the value of a function whose derivative is another function
Jul
2
awarded  Curious
May
10
accepted Biasing sigmoid curve
May
2
comment Biasing sigmoid curve
Lets say 'c = 10', which is where I want $y$ to be almost $0$. I was imagining the S shape to skew a little upwards such that $f(5) > 0.5$ (for fit values). But I guess your approach is good too. It still promotes fit values a bit more than the average, and unfit less.
May
1
comment Biasing sigmoid curve
The power approach seems to squash the sigmoid to the left if $a > 1$, and stretch it to the right if $a < 1$. I was thinking more on the lines of changing the S shape such that its skewed upwards, however your idea might have a good effect too. +1
May
1
revised Biasing sigmoid curve
added 3 characters in body
May
1
asked Biasing sigmoid curve
Feb
6
comment Math notation for summing up the rows in a matrix
Thanks. Seems that this is the 'standard' way then...
Dec
1
awarded  Tumbleweed
Nov
21
accepted Function with a continuous domain but a discrete range
Nov
21
comment Function with a continuous domain but a discrete range
So in my case, am I correct to say that it is not a continuous function? And the definition of it can still be: $lights: \Bbb R_{\geq0} \rightarrow \{0,1\}$
Nov
21
comment Function with a continuous domain but a discrete range
Yes, its those kinds of issues I am asking about. In the example I gave, if the function was $lights(t)$, $t$ is definitely a continuous value, but at the same time the result is just 0 or 1. So is it a continuous function or not? Or does it have a specific name? And how is it defined (do you put $lim$ etc.)?
Nov
21
comment Function with a continuous domain but a discrete range
Yes, what I mean is, does it have a specific name? Is it defined in a specific way? It is not a continuous function, so I don't think it is defined using limits, or is it?
Nov
21
asked Function with a continuous domain but a discrete range
Nov
21
comment What would be the right domain for a function that takes time as a parameter?
Yes precisely what I am trying to model. Thanks