Rectangular lattices of cylindrical quantum waveguides. I. Spectral problems on a finite cross

2018 ◽  
Vol 29 (3) ◽  
pp. 423-437 ◽  
Author(s):  
F. L. Bakharev ◽  
S. G. Matveenko ◽  
S. A. Nazarov
Keyword(s):  
Spectral Problems ◽  
Rectangular Lattices ◽  
Quantum Waveguides

Block designs for variety trials

1978 ◽  
Vol 90 (2) ◽  
pp. 395-400 ◽  
Author(s):  
H. D. Patterson ◽  
E. R. Williams ◽  
E. A. Hunter
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Variety Trials ◽  
Rectangular Lattices

SummaryIn this paper we present a series of resolvable incomplete block designs suitable for variety trials with any number of varieties v in the range 20 ≤v ≤ 100. These designs usefully supplement existing square and rectangular lattices. They are not necessarily optimal in the sense of having smallest possible variances but their efficiencies are known to be high.

scholarly journals Determination of differential pencils with impulse from interior spectral data

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yongxia Guo ◽  
Guangsheng Wei ◽  
Ruoxia Yao
Keyword(s):  
Spectral Data ◽  
Interior Point ◽  
Potential Functions ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Inverse Spectral ◽  
Differential Pencils ◽  
Second Spectrum

Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on $[0,\pi ]$ [ 0 , π ] with an interior discontinuity. We prove that two potential functions are determined uniquely by one spectrum and a set of values of eigenfunctions at some interior point $b\in (0,\pi )$ b ∈ ( 0 , π ) in the situation of $b=\pi /2$ b = π / 2 and $b\neq \pi /2$ b ≠ π / 2 . For the latter, we need the knowledge of a part of the second spectrum.

Sign in / Sign up

Export Citation Format

Share Document