Compare two expressions in term of one variable
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I am trying to compare below two expressions:
$$E_1 = sum_iW^1_ifrace^W^2_ix-e^-W^2_ixe^W^2_ix+e^-W^2_ix quad E_2 = sum_iW^1_ifrace^W^3_ix-e^-W^3_ixe^W^3_ix+e^-W^3_ix$$
where $W^1,W^2$ and $W^3$ are known real numbers and $x$ is unknown real number. I am trying to find a way to compare $E_1$ and $E_2$ such that $x$ can be taken out as a function for example :
$$h(E_1,E_2) = f(W^1,W^2,W^3) + g(x)$$
where $h(E_1,E_2)$ can be $E^1 - E^2$. I would be really grateful if someone can give pointers on how to approach the problem.
calculus algebra-precalculus exponential-function number-comparison
asked Aug 9 at 16:54
Dushyant Sahoo
558
add a comment |Â
up vote
0
down vote
favorite
I am trying to compare below two expressions:
$$E_1 = sum_iW^1_ifrace^W^2_ix-e^-W^2_ixe^W^2_ix+e^-W^2_ix quad E_2 = sum_iW^1_ifrace^W^3_ix-e^-W^3_ixe^W^3_ix+e^-W^3_ix$$
where $W^1,W^2$ and $W^3$ are known real numbers and $x$ is unknown real number. I am trying to find a way to compare $E_1$ and $E_2$ such that $x$ can be taken out as a function for example :
$$h(E_1,E_2) = f(W^1,W^2,W^3) + g(x)$$
where $h(E_1,E_2)$ can be $E^1 - E^2$. I would be really grateful if someone can give pointers on how to approach the problem.
calculus algebra-precalculus exponential-function number-comparison
asked Aug 9 at 16:54
Dushyant Sahoo
558
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am trying to compare below two expressions:
$$E_1 = sum_iW^1_ifrace^W^2_ix-e^-W^2_ixe^W^2_ix+e^-W^2_ix quad E_2 = sum_iW^1_ifrace^W^3_ix-e^-W^3_ixe^W^3_ix+e^-W^3_ix$$
where $W^1,W^2$ and $W^3$ are known real numbers and $x$ is unknown real number. I am trying to find a way to compare $E_1$ and $E_2$ such that $x$ can be taken out as a function for example :
$$h(E_1,E_2) = f(W^1,W^2,W^3) + g(x)$$
where $h(E_1,E_2)$ can be $E^1 - E^2$. I would be really grateful if someone can give pointers on how to approach the problem.
calculus algebra-precalculus exponential-function number-comparison
asked Aug 9 at 16:54
Dushyant Sahoo
558
I am trying to compare below two expressions:
$$E_1 = sum_iW^1_ifrace^W^2_ix-e^-W^2_ixe^W^2_ix+e^-W^2_ix quad E_2 = sum_iW^1_ifrace^W^3_ix-e^-W^3_ixe^W^3_ix+e^-W^3_ix$$
where $W^1,W^2$ and $W^3$ are known real numbers and $x$ is unknown real number. I am trying to find a way to compare $E_1$ and $E_2$ such that $x$ can be taken out as a function for example :
$$h(E_1,E_2) = f(W^1,W^2,W^3) + g(x)$$
where $h(E_1,E_2)$ can be $E^1 - E^2$. I would be really grateful if someone can give pointers on how to approach the problem.
calculus algebra-precalculus exponential-function number-comparison
asked Aug 9 at 16:54
Dushyant Sahoo
558
edited Aug 9 at 19:43
asked Aug 9 at 16:54
Dushyant Sahoo
558
asked Aug 9 at 16:54
Dushyant Sahoo
558
asked Aug 9 at 16:54
Dushyant Sahoo
558
558
add a comment |Â
add a comment |Â
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