Is there a name of the rule that $ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $?Does $lVert PrVert leq lVert QrVert$ imply $U(P,f) leq U(Q,f)$?bounded measurable functionShow that there is no non-zero polynomial $P(u,v)$ in two variables with real coefficients such that $P(x, cos x) = 0$ holds for all real $x$$f(0)=0$ and $lvert,f^prime (x)rvertleq Klvert,f(x)rvert,$ imply that $fequiv 0$.Is there a name for this set?Fourier transform of $e^-lvert lambda xrvert$Smooth curve with trace $lvert x rvert$Show that $E(Y^p)=int_0^inftypx^p-1P(Ygeq x)dx$Analysis Inequality proof technique/tool$|x|$ versus $lVert xrVert$?
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Is there a name of the rule that $ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $?
Does $lVert PrVert leq lVert QrVert$ imply $U(P,f) leq U(Q,f)$?bounded measurable functionShow that there is no non-zero polynomial $P(u,v)$ in two variables with real coefficients such that $P(x, cos x) = 0$ holds for all real $x$$f(0)=0$ and $lvert,f^prime (x)rvertleq Klvert,f(x)rvert,$ imply that $fequiv 0$.Is there a name for this set?Fourier transform of $e^-lvert lambda xrvert$Smooth curve with trace $lvert x rvert$Show that $E(Y^p)=int_0^inftypx^p-1P(Ygeq x)dx$Analysis Inequality proof technique/tool$|x|$ versus $lVert xrVert$?
$begingroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
asked Mar 19 at 19:12
JaPJaP
203
$endgroup$
add a comment |
$begingroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
asked Mar 19 at 19:12
JaPJaP
203
$endgroup$
add a comment |
$begingroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
asked Mar 19 at 19:12
JaPJaP
203
$endgroup$
I'm a bit new to real analysis. Today, I came across this particular equality, whcih seems obvious to me.
$$ lVert x + z rVert^2 + lVert x - z rVert^2 = 2 lVert x rVert^2 + 2lVert z rVert^2 $$
Is there a specific name for this?
real-analysis
real-analysis
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
asked Mar 19 at 19:12
JaPJaP
203
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
asked Mar 19 at 19:12
JaPJaP
203
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
edited Mar 20 at 0:33
Asaf Karagila♦
307k33439771
307k33439771
asked Mar 19 at 19:12
JaPJaP
203
asked Mar 19 at 19:12
JaPJaP
203
asked Mar 19 at 19:12
JaPJaP
203
203
add a comment |
add a comment |
1 Answer
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$begingroup$
This is the parallelogram law of norms induced by inner products.
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
$endgroup$
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
add a comment |
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$begingroup$
This is the parallelogram law of norms induced by inner products.
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
$endgroup$
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
add a comment |
$begingroup$
This is the parallelogram law of norms induced by inner products.
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
$endgroup$
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
add a comment |
$begingroup$
This is the parallelogram law of norms induced by inner products.
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
$endgroup$
This is the parallelogram law of norms induced by inner products.
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
answered Mar 19 at 19:13
pulpfictionalpulpfictional
1986
1986
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
add a comment |
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
$begingroup$
Thank you so much!
$endgroup$
– JaP
Mar 19 at 19:32
add a comment |
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