Definition:Simplex/Dimension
< Definition:Simplex(Redirected from Definition:Dimension of Simplex)
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Definition
Let $S$ be a $k$-simplex:
- $S = \set {\ds \sum_{i \mathop = 0}^k \theta_i \alpha_i}$
The parameter $k$ is callled the dimension of $S$.
Also see
- Results about simplices can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): combinatorial topology
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): dimension: 5. (of a simplex)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): combinatorial topology
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): dimension: 5. (of a simplex)
- Weisstein, Eric W. "Simplex." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Simplex.html