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Why do xy =0 and yx=0 have different graphs?
The Next CEO of Stack OverflowWhy does this graph intercept both axes at the golden ratio?Find a sine function for this graphGraphs of functions with arcsin and arccosWhy do graphing calculators plot this function wrong? Wolfram Mathematica example.Why isn't the graph of $ln(tan(x^2))$ same as that of $2ln(tan(x))$, when they should be according to the power rule?Software to plot graphs?How can a “non-function” be graphed?How do I plot the mean value theorem applied to $f(x)=x^1/2$ on the interval $[0,4]$?Why is $r=sin (theta)$ graphing differently than $x^2+y^2=y$?Graphs of $xsin x=sin x$ and $x=1$
$begingroup$
I was graphing on Desmos.
I typed xy = 0 and got the graph of only y=0. Confused I typed yx=0 . I got the graph of only x=0. As far as I know, the equation represents both x=0 and y=0 .
Is this just a software error or am I not understanding something crucial?
linear-algebra systems-of-equations graphing-functions
asked Mar 28 at 10:57
user68153user68153
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I was graphing on Desmos.
I typed xy = 0 and got the graph of only y=0. Confused I typed yx=0 . I got the graph of only x=0. As far as I know, the equation represents both x=0 and y=0 .
Is this just a software error or am I not understanding something crucial?
linear-algebra systems-of-equations graphing-functions
asked Mar 28 at 10:57
user68153user68153
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
2
$begingroup$
WolframAlpha gets it right. Consider sending Desmos a bug report.
$endgroup$
– Rahul
Mar 28 at 11:13
$begingroup$
Similar phenomenon with $f(x)g(y)$, $f(x)g(x,y)$, $g(x,y)f(x)$, $f(y)g(x,y)$, $g(x,y)f(y)$...
$endgroup$
– Yves Daoust
Mar 28 at 11:16
add a comment |
$begingroup$
I was graphing on Desmos.
I typed xy = 0 and got the graph of only y=0. Confused I typed yx=0 . I got the graph of only x=0. As far as I know, the equation represents both x=0 and y=0 .
Is this just a software error or am I not understanding something crucial?
linear-algebra systems-of-equations graphing-functions
asked Mar 28 at 10:57
user68153user68153
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I was graphing on Desmos.
I typed xy = 0 and got the graph of only y=0. Confused I typed yx=0 . I got the graph of only x=0. As far as I know, the equation represents both x=0 and y=0 .
Is this just a software error or am I not understanding something crucial?
linear-algebra systems-of-equations graphing-functions
linear-algebra systems-of-equations graphing-functions
asked Mar 28 at 10:57
user68153user68153
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:57
user68153user68153
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:57
user68153user68153
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 28 at 10:57
user68153user68153
113
asked Mar 28 at 10:57
user68153user68153
113
113
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
user68153 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
$begingroup$
WolframAlpha gets it right. Consider sending Desmos a bug report.
$endgroup$
– Rahul
Mar 28 at 11:13
$begingroup$
Similar phenomenon with $f(x)g(y)$, $f(x)g(x,y)$, $g(x,y)f(x)$, $f(y)g(x,y)$, $g(x,y)f(y)$...
$endgroup$
– Yves Daoust
Mar 28 at 11:16
add a comment |
2
$begingroup$
WolframAlpha gets it right. Consider sending Desmos a bug report.
$endgroup$
– Rahul
Mar 28 at 11:13
$begingroup$
Similar phenomenon with $f(x)g(y)$, $f(x)g(x,y)$, $g(x,y)f(x)$, $f(y)g(x,y)$, $g(x,y)f(y)$...
$endgroup$
– Yves Daoust
Mar 28 at 11:16
2
2
$begingroup$
WolframAlpha gets it right. Consider sending Desmos a bug report.
$endgroup$
– Rahul
Mar 28 at 11:13
$begingroup$
WolframAlpha gets it right. Consider sending Desmos a bug report.
$endgroup$
– Rahul
Mar 28 at 11:13
$begingroup$
Similar phenomenon with $f(x)g(y)$, $f(x)g(x,y)$, $g(x,y)f(x)$, $f(y)g(x,y)$, $g(x,y)f(y)$...
$endgroup$
– Yves Daoust
Mar 28 at 11:16
$begingroup$
Similar phenomenon with $f(x)g(y)$, $f(x)g(x,y)$, $g(x,y)f(x)$, $f(y)g(x,y)$, $g(x,y)f(y)$...
$endgroup$
– Yves Daoust
Mar 28 at 11:16
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Since $xy=yx$, $xy=0Leftrightarrow yx=0$. Therefore, it must be a software error.
EDIT: For the benefit of future readers, here is a summary of what we uncovered in the comments below: very simple locus definitions solve for only one variable, but $xy= 0x^3+0y^3$ will force the use of a more complex algorithm without this bug.
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
$endgroup$
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
1
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
1
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
1
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
1
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
|
show 8 more comments
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1 Answer
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1 Answer
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votes
$begingroup$
Since $xy=yx$, $xy=0Leftrightarrow yx=0$. Therefore, it must be a software error.
EDIT: For the benefit of future readers, here is a summary of what we uncovered in the comments below: very simple locus definitions solve for only one variable, but $xy= 0x^3+0y^3$ will force the use of a more complex algorithm without this bug.
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
$endgroup$
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
1
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
1
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
1
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
1
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
|
show 8 more comments
$begingroup$
Since $xy=yx$, $xy=0Leftrightarrow yx=0$. Therefore, it must be a software error.
EDIT: For the benefit of future readers, here is a summary of what we uncovered in the comments below: very simple locus definitions solve for only one variable, but $xy= 0x^3+0y^3$ will force the use of a more complex algorithm without this bug.
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
$endgroup$
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
1
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
1
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
1
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
1
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
|
show 8 more comments
$begingroup$
Since $xy=yx$, $xy=0Leftrightarrow yx=0$. Therefore, it must be a software error.
EDIT: For the benefit of future readers, here is a summary of what we uncovered in the comments below: very simple locus definitions solve for only one variable, but $xy= 0x^3+0y^3$ will force the use of a more complex algorithm without this bug.
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
$endgroup$
Since $xy=yx$, $xy=0Leftrightarrow yx=0$. Therefore, it must be a software error.
EDIT: For the benefit of future readers, here is a summary of what we uncovered in the comments below: very simple locus definitions solve for only one variable, but $xy= 0x^3+0y^3$ will force the use of a more complex algorithm without this bug.
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
edited Mar 28 at 15:16
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
answered Mar 28 at 11:01
J.G.J.G.
32.5k23250
32.5k23250
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
1
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
1
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
1
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
1
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
|
show 8 more comments
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
1
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
1
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
1
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
1
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
$begingroup$
But it's Desmos. And there haven't been errors like these even when considering largely complex equations. I have a intuition of something strange being the reason.
$endgroup$
– user68153
Mar 28 at 11:04
1
1
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
$begingroup$
Interestingly, $left(x ^2-1right)yleft(y^2-1right)=0$ shows an H shape, whatever the order of the factors.
$endgroup$
– Yves Daoust
Mar 28 at 11:21
1
1
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
$begingroup$
@YvesDaoust As opposed to a square with its sides continuing forever, plus the line $y=0$. I'd love to see an excerpt of their codebase that causes the error.
$endgroup$
– J.G.
Mar 28 at 11:24
1
1
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
$begingroup$
@user68153 All interesting questions, but the only way to address them is to tell Desmos what happens, then see if they can fix them. Even if they do, they'll probably never publicly state what their old code did.
$endgroup$
– J.G.
Mar 28 at 11:33
1
1
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
$begingroup$
I have received a follow up email... They say that for very simple equations, they use a normal plotter instead of implicit one... To save time.. But normal plotter tends to solve only one variable.. To get both equations we can type xy= 0x^3+0y^3 to trick the program to use its implicit plotter. It was afterall a software glitch.. Thank you everyone!
$endgroup$
– user68153
Mar 28 at 15:13
|
show 8 more comments
user68153 is a new contributor. Be nice, and check out our Code of Conduct.
user68153 is a new contributor. Be nice, and check out our Code of Conduct.
user68153 is a new contributor. Be nice, and check out our Code of Conduct.
user68153 is a new contributor. Be nice, and check out our Code of Conduct.
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2
$begingroup$
WolframAlpha gets it right. Consider sending Desmos a bug report.
$endgroup$
– Rahul
Mar 28 at 11:13
$begingroup$
Similar phenomenon with $f(x)g(y)$, $f(x)g(x,y)$, $g(x,y)f(x)$, $f(y)g(x,y)$, $g(x,y)f(y)$...
$endgroup$
– Yves Daoust
Mar 28 at 11:16