# vaba vektorruum

olemus
vaba vektorruum K(B) baasiga B ja skalaaride korpusega K
on vektorruum, mille vektorite hulga V
mille kandja, st hulk S​ = {b:f(b)​ ≠ 0} on lõplik

tehted
- vektorite $$f_1, f_2\in V$$ summa $$f_1+ f_2$$ on
$$(f_1+ f_2)(v) = f_1(v) + f_2(v)$$ , kus $$v\in V$$
- skalaariga $$k\in K$$ korrutis $$k f$$ on $$(k f)(v) = k\cdot f(v)$$
=
a finite vector space generated by a set and equipped with
the standard operations of function addition and scalar multiplication

ülevaateid
https://planetmath.org/freevectorspaceoveraset

http://www-users.med.cornell.edu/~jdvicto/jdv/mathcourse1213/GFVS1213b.pdf

https://benrbray.com/static/notes/tensor-algebra_5aug19.pdf

# vaba vektorruum

olemus
vaba vektorruum K(B) baasiga B ja skalaaride korpusega K
on vektorruum, mille vektorite hulga V
mille kandja, st hulk S​ = {b:f(b)​ ≠ 0} on lõplik

tehted
- vektorite $$f_1, f_2\in V$$ summa $$f_1+ f_2$$ on
$$(f_1+ f_2)(v) = f_1(v) + f_2(v)$$ , kus $$v\in V$$
- skalaariga $$k\in K$$ korrutis $$k f$$ on $$(k f)(v) = k\cdot f(v)$$
=
a finite vector space generated by a set and equipped with
the standard operations of function addition and scalar multiplication

ülevaateid
https://planetmath.org/freevectorspaceoveraset

http://www-users.med.cornell.edu/~jdvicto/jdv/mathcourse1213/GFVS1213b.pdf

https://benrbray.com/static/notes/tensor-algebra_5aug19.pdf

Palun oodake...

# vaba vektorruum

olemus
vaba vektorruum K(B) baasiga B ja skalaaride korpusega K
on vektorruum, mille vektorite hulga V
mille kandja, st hulk S​ = {b:f(b)​ ≠ 0} on lõplik

tehted
- vektorite $$f_1, f_2\in V$$ summa $$f_1+ f_2$$ on
$$(f_1+ f_2)(v) = f_1(v) + f_2(v)$$ , kus $$v\in V$$
- skalaariga $$k\in K$$ korrutis $$k f$$ on $$(k f)(v) = k\cdot f(v)$$
=
a finite vector space generated by a set and equipped with
the standard operations of function addition and scalar multiplication

ülevaateid
https://planetmath.org/freevectorspaceoveraset

http://www-users.med.cornell.edu/~jdvicto/jdv/mathcourse1213/GFVS1213b.pdf

https://benrbray.com/static/notes/tensor-algebra_5aug19.pdf

Andmete allalaadimisel või töötlemisel esines tehniline tõrge.
Vabandame!