Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
|
complex_line_integral [2015/02/03 09:55] nikolaj |
complex_line_integral [2015/04/03 12:15] nikolaj |
||
|---|---|---|---|
| Line 2: | Line 2: | ||
| ==== Function ==== | ==== Function ==== | ||
| | @#DDDDDD: range | @#DDDDDD: $\mathcal{L}$ ... continuously differentiable finite lines | | | @#DDDDDD: range | @#DDDDDD: $\mathcal{L}$ ... continuously differentiable finite lines | | ||
| - | |||
| | @#FFBB00: definiendum | @#FFBB00: $\int: \mathcal{L}\to(\mathbb C\to \mathbb C)\to \mathbb K$ | | | @#FFBB00: definiendum | @#FFBB00: $\int: \mathcal{L}\to(\mathbb C\to \mathbb C)\to \mathbb K$ | | ||
| - | + | | @#DDDDDD: range | @#DDDDDD: $L\in \mathcal{L}$ | | |
| - | | @#DDDDDD: range | @#DDDDDD: $L\in \mathcal{L}$ | @#DDDDDD: range | @#DDDDDD: $\gamma: [a,b]\to L$ ... parametrization | | + | | @#DDDDDD: range | @#DDDDDD: $\gamma: [a,b]\to L$ ... parametrization | |
| | @#FFBB00: definiendum | @#FFBB00: $\int_L\ f(z)\,\mathrm dz:=\int_L\ f\left(\gamma(t)\right)\cdot \gamma'(t)\, \mathrm dt$ | | | @#FFBB00: definiendum | @#FFBB00: $\int_L\ f(z)\,\mathrm dz:=\int_L\ f\left(\gamma(t)\right)\cdot \gamma'(t)\, \mathrm dt$ | | ||
