scholarly journals A note on Eulerian numbers and Toeplitz matrices

2020 ◽  
Vol 8 (1) ◽  
pp. 123-130
Author(s):  
Tian-Xiao He ◽  
Peter J.-S. Shiue

AbstractThis note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.

1956 ◽  
Author(s):  
J. Donald Harris ◽  
Henry L. Haines ◽  
Cecil K. Myers
Keyword(s):  

2008 ◽  
Vol 68 (S 01) ◽  
Author(s):  
NC Hart ◽  
J Siemer ◽  
B Meurer ◽  
TW Goecke ◽  
RL Schild

2019 ◽  
Author(s):  
Vitaly Kuyukov

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.


1998 ◽  
Vol 63 (8) ◽  
pp. 1187-1201 ◽  
Author(s):  
Jaroslav Zamastil ◽  
Lubomír Skála ◽  
Petr Pančoška ◽  
Oldřich Bílek

Using the semiclassical approach for the description of the propagation of the electromagnetic waves in optically active isotropic media we derive a new formula for the circular dichroism parameter. The theory is based on the idea of the time damped electromagnetic wave interacting with the molecules of the sample. In this theory, the Lambert-Beer law need not be taken as an empirical law, however, it follows naturally from the requirement that the electromagnetic wave obeys the Maxwell equations.


Author(s):  
Josefina Vidal M ◽  
Macarena García O ◽  
Pedro Álvarez C

Abstract In the second half of the 1960s, prêt-à-porter (ready-to-wear) fashion was established in Chile. As an alternative to haute couture (high fashion), prêt-à-porter brought an eagerness for modernisation that was reflected in the setting up of a network of women-led boutiques, which developed strongly between 1967 and 1973. This article first examines the precedents that allowed for the creation of a ‘local fashion system’ that promoted collective work around trades such as knitting and dressmaking. It also analyses the arrangement of a circuit of boutiques in the comuna of Providencia, a strategic sector of Santiago de Chile (the capital city) that fostered the dynamics of social gathering. Later, the article describes the profile of the designer-entrepreneurs whose work was attuned to a female consumer segment that aimed to access a new formula of the modernising bourgeoisie. It also reassesses the rise of a movement called Moda Autóctona, which distanced itself from European fashion and was supported by the government during the socialist regime of Salvador Allende. Lastly, it tackles the eventual dismantling of this network of women’s fashion stores as a result of the installation of a military dictatorship in Chile.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Thomas B. Lynch ◽  
Jeffrey H. Gove ◽  
Timothy G. Gregoire ◽  
Mark J. Ducey

Abstract Background A new variance estimator is derived and tested for big BAF (Basal Area Factor) sampling which is a forest inventory system that utilizes Bitterlich sampling (point sampling) with two BAF sizes, a small BAF for tree counts and a larger BAF on which tree measurements are made usually including DBHs and heights needed for volume estimation. Methods The new estimator is derived using the Delta method from an existing formulation of the big BAF estimator as consisting of three sample means. The new formula is compared to existing big BAF estimators including a popular estimator based on Bruce’s formula. Results Several computer simulation studies were conducted comparing the new variance estimator to all known variance estimators for big BAF currently in the forest inventory literature. In simulations the new estimator performed well and comparably to existing variance formulas. Conclusions A possible advantage of the new estimator is that it does not require the assumption of negligible correlation between basal area counts on the small BAF factor and volume-basal area ratios based on the large BAF factor selection trees, an assumption required by all previous big BAF variance estimation formulas. Although this correlation was negligible on the simulation stands used in this study, it is conceivable that the correlation could be significant in some forest types, such as those in which the DBH-height relationship can be affected substantially by density perhaps through competition. We derived a formula that can be used to estimate the covariance between estimates of mean basal area and the ratio of estimates of mean volume and mean basal area. We also mathematically derived expressions for bias in the big BAF estimator that can be used to show the bias approaches zero in large samples on the order of $\frac {1}{n}$ 1 n where n is the number of sample points.


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