Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
Next revision Both sides next revision
finite_product_of_complex_numbers [2013/09/09 15:55]
nikolaj
finite_product_of_complex_numbers [2015/04/17 21:41]
nikolaj
Line 1: Line 1:
 ===== Finite product of complex numbers ===== ===== Finite product of complex numbers =====
-==== Definition ​==== +==== Function ​==== 
-| @#88DDEE$ (z_i) \in \mathrm{FinSequence}(\mathbb C)$ | +| @#FF9944definition  ​| @#FF9944it $\equiv$ Finite sum over a monoid w.r.t $\langle\!\langle ​{\mathbb C},\cdot \rangle\!\rangle$ |
-| @#88DDEE: $ n = \mathrm{length}((z_i)) ​$ |+
  
-| @#FFBB00: $\prod: \mathrm{FinSequence}(\mathbb C)\to \mathbb C$ | +----- 
-| @#FFBB00: $\prod_{i=1}^n\ z_i:= \begin{cases} 1 & \mathrm{if}\ n=0\\\\ \left(\prod_{i=1}^{n-1}\ z_i\right)\ \cdot\ z_n & \mathrm{else} \end{cases}$ | +-----
- +
-==== Discussion ==== +
-==== Parents ====+
 === Subset of === === Subset of ===
 [[Finite sum over a monoid]] [[Finite sum over a monoid]]
 +=== Requirements ===
 +[[Complex number]]
Link to graph
Log In
Improvements of the human condition