Mixing
Finding functions with certain properties: $f(x,y) = f(x,0)$ [on hold]
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A function $f(x,y) = f(x,0)$ that contains both variables $x$ and $y$. How would one find all functions that satisfy this property or any similar?
functions
edited 2 days ago
Joey Kilpatrick
1,083121
asked 2 days ago
Carpenter
794
put on hold as unclear what you're asking by Batominovski, lulu, jgon, user10354138, Cesareo 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
-1
down vote
favorite
A function $f(x,y) = f(x,0)$ that contains both variables $x$ and $y$. How would one find all functions that satisfy this property or any similar?
functions
edited 2 days ago
Joey Kilpatrick
1,083121
asked 2 days ago
Carpenter
794
put on hold as unclear what you're asking by Batominovski, lulu, jgon, user10354138, Cesareo 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
By "or any similar" do you mean to look at other equations which resemble the one you ask about in the question? If so can you give a few examples of such similar equations?
– coffeemath
2 days ago
It's not too important. Just like $f(x,y) = f(3x^2,2+3y^y)$ where $z = f(x,y)$, all containing both variables x and y; any number of variables. I'm kind of tired, so this may be super simple idk
– Carpenter
2 days ago
I'm not seeing what "contains both variables $x,y$ means. Of course you don't mean like $f(x,y)=x+y^2-y^2$...
– coffeemath
2 days ago
Like you have $f(x,y) = x + y .. = f(2x, y^2)$, where the "$x + y...$ is the solution I'm looking. Plugging in $2x$ & $y^2$ to $f(x,y)$ just gives %f(x,y)$. I can't remember ever seeing anything like this. Is there a solution? Is there a family of solutions? idk Here I have a specific question though. My guess is there is no solution.
– Carpenter
2 days ago
In the one you asked about, the right side does not contain $y.$ That doesn't seem to fit your requirement of your examples in comment.
– coffeemath
2 days ago
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
A function $f(x,y) = f(x,0)$ that contains both variables $x$ and $y$. How would one find all functions that satisfy this property or any similar?
functions
edited 2 days ago
Joey Kilpatrick
1,083121
asked 2 days ago
Carpenter
794
A function $f(x,y) = f(x,0)$ that contains both variables $x$ and $y$. How would one find all functions that satisfy this property or any similar?
functions
functions
edited 2 days ago
Joey Kilpatrick
1,083121
asked 2 days ago
Carpenter
794
edited 2 days ago
Joey Kilpatrick
1,083121
asked 2 days ago
Carpenter
794
edited 2 days ago
Joey Kilpatrick
1,083121
edited 2 days ago
Joey Kilpatrick
1,083121
edited 2 days ago
Joey Kilpatrick
1,083121
1,083121
asked 2 days ago
Carpenter
794
asked 2 days ago
Carpenter
794
asked 2 days ago
Carpenter
794
794
put on hold as unclear what you're asking by Batominovski, lulu, jgon, user10354138, Cesareo 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as unclear what you're asking by Batominovski, lulu, jgon, user10354138, Cesareo 2 days ago
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
By "or any similar" do you mean to look at other equations which resemble the one you ask about in the question? If so can you give a few examples of such similar equations?
– coffeemath
2 days ago
It's not too important. Just like $f(x,y) = f(3x^2,2+3y^y)$ where $z = f(x,y)$, all containing both variables x and y; any number of variables. I'm kind of tired, so this may be super simple idk
– Carpenter
2 days ago
I'm not seeing what "contains both variables $x,y$ means. Of course you don't mean like $f(x,y)=x+y^2-y^2$...
– coffeemath
2 days ago
Like you have $f(x,y) = x + y .. = f(2x, y^2)$, where the "$x + y...$ is the solution I'm looking. Plugging in $2x$ & $y^2$ to $f(x,y)$ just gives %f(x,y)$. I can't remember ever seeing anything like this. Is there a solution? Is there a family of solutions? idk Here I have a specific question though. My guess is there is no solution.
– Carpenter
2 days ago
In the one you asked about, the right side does not contain $y.$ That doesn't seem to fit your requirement of your examples in comment.
– coffeemath
2 days ago
add a comment |
By "or any similar" do you mean to look at other equations which resemble the one you ask about in the question? If so can you give a few examples of such similar equations?
– coffeemath
2 days ago
It's not too important. Just like $f(x,y) = f(3x^2,2+3y^y)$ where $z = f(x,y)$, all containing both variables x and y; any number of variables. I'm kind of tired, so this may be super simple idk
– Carpenter
2 days ago
I'm not seeing what "contains both variables $x,y$ means. Of course you don't mean like $f(x,y)=x+y^2-y^2$...
– coffeemath
2 days ago
Like you have $f(x,y) = x + y .. = f(2x, y^2)$, where the "$x + y...$ is the solution I'm looking. Plugging in $2x$ & $y^2$ to $f(x,y)$ just gives %f(x,y)$. I can't remember ever seeing anything like this. Is there a solution? Is there a family of solutions? idk Here I have a specific question though. My guess is there is no solution.
– Carpenter
2 days ago
In the one you asked about, the right side does not contain $y.$ That doesn't seem to fit your requirement of your examples in comment.
– coffeemath
2 days ago
By "or any similar" do you mean to look at other equations which resemble the one you ask about in the question? If so can you give a few examples of such similar equations?
– coffeemath
2 days ago
By "or any similar" do you mean to look at other equations which resemble the one you ask about in the question? If so can you give a few examples of such similar equations?
– coffeemath
2 days ago
It's not too important. Just like $f(x,y) = f(3x^2,2+3y^y)$ where $z = f(x,y)$, all containing both variables x and y; any number of variables. I'm kind of tired, so this may be super simple idk
– Carpenter
2 days ago
It's not too important. Just like $f(x,y) = f(3x^2,2+3y^y)$ where $z = f(x,y)$, all containing both variables x and y; any number of variables. I'm kind of tired, so this may be super simple idk
– Carpenter
2 days ago
I'm not seeing what "contains both variables $x,y$ means. Of course you don't mean like $f(x,y)=x+y^2-y^2$...
– coffeemath
2 days ago
I'm not seeing what "contains both variables $x,y$ means. Of course you don't mean like $f(x,y)=x+y^2-y^2$...
– coffeemath
2 days ago
Like you have $f(x,y) = x + y .. = f(2x, y^2)$, where the "$x + y...$ is the solution I'm looking. Plugging in $2x$ & $y^2$ to $f(x,y)$ just gives %f(x,y)$. I can't remember ever seeing anything like this. Is there a solution? Is there a family of solutions? idk Here I have a specific question though. My guess is there is no solution.
– Carpenter
2 days ago
Like you have $f(x,y) = x + y .. = f(2x, y^2)$, where the "$x + y...$ is the solution I'm looking. Plugging in $2x$ & $y^2$ to $f(x,y)$ just gives %f(x,y)$. I can't remember ever seeing anything like this. Is there a solution? Is there a family of solutions? idk Here I have a specific question though. My guess is there is no solution.
– Carpenter
2 days ago
In the one you asked about, the right side does not contain $y.$ That doesn't seem to fit your requirement of your examples in comment.
– coffeemath
2 days ago
In the one you asked about, the right side does not contain $y.$ That doesn't seem to fit your requirement of your examples in comment.
– coffeemath
2 days ago
add a comment |
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By "or any similar" do you mean to look at other equations which resemble the one you ask about in the question? If so can you give a few examples of such similar equations?
– coffeemath
2 days ago
It's not too important. Just like $f(x,y) = f(3x^2,2+3y^y)$ where $z = f(x,y)$, all containing both variables x and y; any number of variables. I'm kind of tired, so this may be super simple idk
– Carpenter
2 days ago
I'm not seeing what "contains both variables $x,y$ means. Of course you don't mean like $f(x,y)=x+y^2-y^2$...
– coffeemath
2 days ago
Like you have $f(x,y) = x + y .. = f(2x, y^2)$, where the "$x + y...$ is the solution I'm looking. Plugging in $2x$ & $y^2$ to $f(x,y)$ just gives %f(x,y)$. I can't remember ever seeing anything like this. Is there a solution? Is there a family of solutions? idk Here I have a specific question though. My guess is there is no solution.
– Carpenter
2 days ago
In the one you asked about, the right side does not contain $y.$ That doesn't seem to fit your requirement of your examples in comment.
– coffeemath
2 days ago