Generalized Self-Similarity
β Scribed by Carlos A Cabrelli; Ursula M Molter
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 84 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6
## Abstract Locally finite selfβsimilar graphs with bounded geometry and without bounded geometry as well as nonβlocally finite selfβsimilar graphs are characterized by the structure of their cell graphs. Geometric properties concerning the volume growth and distances in cell graphs are discussed.
Given a n = n square divided into n smaller squares i.e., a n = n . chessboard , how many k = k squares does it contain, where 1 The answer itself turns out to be a square, namely, n q 1 y k . Thus, the total number of squares contained in the n = n square is the sum of the squares: 1 2 q 2 2 q ΠΈΠΈΠΈ