Free spectra of 3-element algebras

Author(s):  
Joel Berman
Keyword(s):  
Author(s):  
David Hobby ◽  
Ralph McKenzie
Keyword(s):  

1979 ◽  
Vol 43 (1) ◽  
pp. 21-28 ◽  
Author(s):  
S.M. Adler ◽  
J.R. Wiesenfeld

2019 ◽  
Vol 157 (5) ◽  
pp. 204 ◽  
Author(s):  
Matías R. Díaz ◽  
Stephen A. Shectman ◽  
R. Paul Butler ◽  
James S. Jenkins
Keyword(s):  

2014 ◽  
Vol 23 (02) ◽  
pp. 1450017 ◽  
Author(s):  
Liang Lei ◽  
Xin Liu ◽  
Jin-Hui Wen ◽  
Xiao-Bo Xing ◽  
Bo Wang ◽  
...  

The shortcomings in complex femtosecond pulse measurement of conventional spectral phase interferometry for direct electric-field reconstruction (SPIDER) are commented in this paper. To solve the problem, we propose an improved version of SPIDER, where single replica of the unknown pulse upconverts synchronously with two frequency-shifted narrow-banded long pulses. With the introduction of a suitable small delay between the upconverted pulses, the spectral phase of the unknown pulse can be directly calculated from the fringe-free spectra and Fourier-transform filtering is not required. The results of numerical simulation show that the accuracy of the new method in complex pulse measurement is higher than conventional SPIDER.


1992 ◽  
Vol 23 (2) ◽  
pp. 165-170 ◽  
Author(s):  
Xinghua Li ◽  
Slobodan Milošević ◽  
Goran Pichler ◽  
John T. Bahns ◽  
William C. Stwalley

1988 ◽  
Vol 130 ◽  
pp. 549-549 ◽  
Author(s):  
J.L. Sanz ◽  
E. Martinez-González

The cluster autocorrelation function ξc and the galaxy-cluster cross correlation ξgc are used to test the biased structure formation for scale-free spectra P(k)∝kn. Following Kaiser (1984), we assume that rich clusters form only at higfr density regions with the matter distribution represented by a Gaussian random field. Then, the correlation ξ of two regions with characteristic scales R1 and R2 lying above the thresholds v1 and v2 (δ ≡ νσ), is given by the expression for the bivariate Gaussian where z(r) is the coviance function, i.e. and is the correlation of the matter distribution Gaussian filtered on the comoving scales R1 and R2. From the previous equations, one can obtain for P(k)∝ kn, τ≪1 and large r a powers-law form either for ξc or ξgc. Moreover, the amplification factor Ac - gc ≡ ξc/ξgc is


2012 ◽  
Vol 85 (2) ◽  
pp. 244-254 ◽  
Author(s):  
Igor Dolinka
Keyword(s):  

2005 ◽  
Vol 70 (4) ◽  
pp. 1341-1358 ◽  
Author(s):  
Katarzyna Slomczyńska

AbstractWe construct the finitely generated free algebras and determine the free spectra of varieties of linear equivalential algebras and linear equivalential algebras of finite height corresponding, respectively, to the equivalential fragments of intermediate Gödel-Dummett logic and intermediate finite-valued logics of Gödel. Thus we compute the number of purely equivalential propositional formulas in these logics in n variables for an arbitrary n ∈ ℕ.


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