It is often assumed in the facility location literature that functions of the type +i(z, y) =p,{(zj-z)\*+ (yi-y)a]R/s are twice differentiable. Here we point out that this is true only for certain values of K. Convexity proofs that are independent of the value of K are given. DIFFERENTIABILITY Consi
Prototype Proofs in Type Theory
β Scribed by Giuseppe Longo
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 207 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract This paper is a companion to work of Feferman, JΓ€ger, GlaΓ, and Strahm on the proof theory of the type two functionals __ΞΌ__ and E~1~ in the context of Fefermanβstyle applicative theories. In contrast to the previous work, we analyze these two functionals in the context of SchlΓΌter's we
We present a new proof of the well known theorem on the existence of signed (integral) t-designs due to Wilson and Graver and Jurkat.
For free and interacting Hamiltonians, Ho and H = H,, + V(r) acting in L2(R3, dx) with V(r) a radial potential satisfying certain technical conditions, and for 9) a real function on R with v' > 0 except on a discrete set, we prove that the Moller wave operators Q\* = strong limit eiWHJ e-ifVtHo) t-?