09-240/Classnotes for Tuesday September 22
- Dori Eldar's work on "mechanical computations": and .
- The "Dimensions" video on "Nombres complexes", is at http://dimensions-math.org/Dim_reg_AM.htm (and then go to "Dimensions_5".
Class notes for today
Yangjiay - Page 1
- can be added
- can be multiplied by a number (not another vector)
Let F be a field. A vector space V over the field F is a set V (of vectors) with a special element 0V, a binary operation + : V × V → V, a binary operation • : F × V → V.
| Convention for today:
Proof of VS4
Take an arbitrary
Set and note
Food for thought
What is wrong with setting
- Unnecessary for a V.S.
- This is useless, since it does not describe reality. For example, a mathematical theory with 46 dimensions can be perfect and mathematically elegant, but if the only solution to it is a universe in which life cannot form it is not reality, hence we have no use for it.