Create accountLogin

Recent searches

No recent searches

Search options

Only available when logged in.
101010.pl is one of the many independent Mastodon servers you can use to participate in the fediverse.
101010.pl czyli najstarszy polski serwer Mastodon. Posiadamy wpisy do 2048 znaków.

Administered by:

Server stats:

536
active users

101010.pl: AboutStatusProfiles directoryPrivacy policy

Mastodon: AboutGet the appKeyboard shortcutsView source codev4.4.0-alpha.4

#variations

0 posts0 participants0 posts today
Public *
Pustam | पुस्तम | পুস্তম🇳🇵

FUNDAMENTAL LEMMA OF THE CALCULUS OF VARIATIONS:
If a continuous multivariable function \(f\) on an open set \({\Omega\subset \mathbb {R} ^{d}}\) satisfies the equality
\[\displaystyle\int_\Omega\mathcal{f}(x)\mathcal{g}(x)\ \mathrm{d}x=0\]
for all compactly supported smooth functions \(g\) on \(\Omega\), then \(f\) is identically zero.
#lemma #calculusofvariations #fundamentallemma #multivariablefunctions #calculus #variations #functional #function #smoothfunction #analysis #mathematics

ExploreLive feeds
About