# kaasruum

olemus
vektorruumist $$V$$ moodustatud vektorruum $$V^\ast$$,
mille skalaaride korpuse $$K$$
moodustavad $$V$$ skalaarid ja
mille vektorid on lineaarfunktsioonid $$f\colon V\rightarrow K$$
=
the vector space which comprises the set of linear transformations of a given vector space into its scalar field

tehted
(i) vektorite $$f_1, f_2\in V^\ast$$ summa $$f_1+ f_2$$
on $$(f_1+ f_2)(v) = f_1(v) + f_2(v)$$
(ii) skalaariga $$k\in K$$ korrutis $$k f$$ on $$(k f)(v) = k\cdot f(v)$$ ,
kus $$v\in V$$

ülevaateid
https://en.wikipedia.org/wiki/Dual_space

https://www.cis.upenn.edu/~cis515/cis515-18-sl6.pdf

https://perso.uclouvain.be/jean-pierre.tignol/MAT1231.pdf

# kaasruum

olemus
vektorruumist $$V$$ moodustatud vektorruum $$V^\ast$$,
mille skalaaride korpuse $$K$$
moodustavad $$V$$ skalaarid ja
mille vektorid on lineaarfunktsioonid $$f\colon V\rightarrow K$$
=
the vector space which comprises the set of linear transformations of a given vector space into its scalar field

tehted
(i) vektorite $$f_1, f_2\in V^\ast$$ summa $$f_1+ f_2$$
on $$(f_1+ f_2)(v) = f_1(v) + f_2(v)$$
(ii) skalaariga $$k\in K$$ korrutis $$k f$$ on $$(k f)(v) = k\cdot f(v)$$ ,
kus $$v\in V$$

ülevaateid
https://en.wikipedia.org/wiki/Dual_space

https://www.cis.upenn.edu/~cis515/cis515-18-sl6.pdf

https://perso.uclouvain.be/jean-pierre.tignol/MAT1231.pdf

Palun oodake...

# kaasruum

olemus
vektorruumist $$V$$ moodustatud vektorruum $$V^\ast$$,
mille skalaaride korpuse $$K$$
moodustavad $$V$$ skalaarid ja
mille vektorid on lineaarfunktsioonid $$f\colon V\rightarrow K$$
=
the vector space which comprises the set of linear transformations of a given vector space into its scalar field

tehted
(i) vektorite $$f_1, f_2\in V^\ast$$ summa $$f_1+ f_2$$
on $$(f_1+ f_2)(v) = f_1(v) + f_2(v)$$
(ii) skalaariga $$k\in K$$ korrutis $$k f$$ on $$(k f)(v) = k\cdot f(v)$$ ,
kus $$v\in V$$

ülevaateid
https://en.wikipedia.org/wiki/Dual_space

https://www.cis.upenn.edu/~cis515/cis515-18-sl6.pdf

https://perso.uclouvain.be/jean-pierre.tignol/MAT1231.pdf

Andmete allalaadimisel või töötlemisel esines tehniline tõrge.
Vabandame!