A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

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.

Download Full-text

New Formula of Pollen Supplemental Diets to Study Honey Bee (Apis mellifera carnica) Attractiveness

Egyptian Academic Journal of Biological Sciences A Entomology ◽

10.21608/eajbsa.2014.12944 ◽

2014 ◽

Vol 7 (2) ◽

pp. 47-55

Author(s):

Mohamed Aly ◽

Khaled Osman ◽

Karem, Mohanny ◽

Walaa Elsayeh

Keyword(s):

Apis Mellifera ◽

Honey Bee ◽

Apis Mellifera Carnica ◽

New Formula

Download Full-text

New Approach to the Theory of Circular Dichroism

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19981187 ◽

1998 ◽

Vol 63 (8) ◽

pp. 1187-1201 ◽

Cited By ~ 1

Author(s):

Jaroslav Zamastil ◽

Lubomír Skála ◽

Petr Pančoška ◽

Oldřich Bílek

Keyword(s):

Electromagnetic Wave ◽

Circular Dichroism ◽

Electromagnetic Waves ◽

Maxwell Equations ◽

Optically Active ◽

Semiclassical Approach ◽

New Approach ◽

Isotropic Media ◽

New Formula ◽

Circular Dichroïsm

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.

Download Full-text

Boutiques and Prêt-à-porter in Santiago de Chile: A Formula for Women’s Modernity (1967–1973)

Journal of Design History ◽

10.1093/jdh/epaa039 ◽

2020 ◽

Author(s):

Josefina Vidal M ◽

Macarena García O ◽

Pedro Álvarez C

Keyword(s):

Capital City ◽

Military Dictatorship ◽

Haute Couture ◽

Collective Work ◽

Santiago De Chile ◽

Salvador Allende ◽

Consumer Segment ◽

The Government ◽

The 1960S ◽

New Formula

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.

Download Full-text

An approximate point-based alternative for the estimation of variance under big BAF sampling

Forest Ecosystems ◽

10.1186/s40663-021-00304-0 ◽

2021 ◽

Vol 8 (1) ◽

Author(s):

Thomas B. Lynch ◽

Jeffrey H. Gove ◽

Timothy G. Gregoire ◽

Mark J. Ducey

Keyword(s):

Forest Inventory ◽

Variance Estimation ◽

Basal Area ◽

Volume Estimation ◽

Delta Method ◽

Sampling Point ◽

Variance Estimator ◽

Computer Simulation Studies ◽

New Formula ◽

Estimation Of Variance

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.

Download Full-text

Integrated Bimodal Fitting for Unilateral CI Users with Residual Contralateral Hearing

Audiology Research ◽

10.3390/audiolres11020018 ◽

2021 ◽

Vol 11 (2) ◽

pp. 200-206

Author(s):

Gennaro Auletta ◽

Annamaria Franzè ◽

Carla Laria ◽

Carmine Piccolo ◽

Carmine Papa ◽

...

Keyword(s):

Cochlear Implants ◽

Hearing Aids ◽

Speech Intelligibility ◽

Hearing Aid ◽

Performance Difference ◽

Test Conditions ◽

Significant Difference ◽

Noisy Conditions ◽

New Formula ◽

Better Than

Background: The aim of this study was to compare, in users of bimodal cochlear implants, the performance obtained using their own hearing aids (adjusted with the standard NAL-NL1 fitting formula) with the performance using the Phonak Naìda Link Ultra Power hearing aid adjusted with both NAL-NL1 and a new bimodal system (Adaptive Phonak Digital Bimodal (APDB)) developed by Advanced Bionics and Phonak Corporations. Methods: Eleven bimodal users (Naìda CI Q70 + contralateral hearing aid) were enrolled in our study. The users’ own hearing aids were replaced with the Phonak Naìda Link Ultra Power and fitted following the new formula. Speech intelligibility was assessed in quiet and noisy conditions, and comparisons were made with the results obtained with the users’ previous hearing aids and with the Naída Link hearing aids fitted with the NAL-NL1 generic prescription formula. Results: Using Phonak Naìda Link Ultra Power hearing aids with the Adaptive Phonak Digital Bimodal fitting formula, performance was significantly better than that with the users’ own rehabilitation systems, especially in challenging hearing situations for all analyzed subjects. Conclusions: Speech intelligibility tests in quiet settings did not reveal a significant difference in performance between the new fitting formula and NAL-NL1 fittings (using the Naída Link hearing aids), whereas the performance difference between the two fittings was very significant in noisy test conditions.

Download Full-text

New Approaches to the General Linearization Problem of Jacobi Polynomials Based on Moments and Connection Formulas

Mathematics ◽

10.3390/math9131573 ◽

2021 ◽

Vol 9 (13) ◽

pp. 1573

Author(s):

Waleed Mohamed Abd-Elhameed ◽

Badah Mohamed Badah

Keyword(s):

Differential Equation ◽

Hypergeometric Functions ◽

Jacobi Polynomials ◽

Tau Method ◽

Riccati Differential Equation ◽

Shifted Jacobi Polynomials ◽

Linearization Problem ◽

Linearization Coefficients ◽

New Formula ◽

Connection Formulas

This article deals with the general linearization problem of Jacobi polynomials. We provide two approaches for finding closed analytical forms of the linearization coefficients of these polynomials. The first approach is built on establishing a new formula in which the moments of the shifted Jacobi polynomials are expressed in terms of other shifted Jacobi polynomials. The derived moments formula involves a hypergeometric function of the type 4F3(1), which cannot be summed in general, but for special choices of the involved parameters, it can be summed. The reduced moments formulas lead to establishing new linearization formulas of certain parameters of Jacobi polynomials. Another approach for obtaining other linearization formulas of some Jacobi polynomials depends on making use of the connection formulas between two different Jacobi polynomials. In the two suggested approaches, we utilize some standard reduction formulas for certain hypergeometric functions of the unit argument such as Watson’s and Chu-Vandermonde identities. Furthermore, some symbolic algebraic computations such as the algorithms of Zeilberger, Petkovsek and van Hoeij may be utilized for the same purpose. As an application of some of the derived linearization formulas, we propose a numerical algorithm to solve the non-linear Riccati differential equation based on the application of the spectral tau method.

Download Full-text

Resolving modular flow: a toolkit for free fermions

Journal of High Energy Physics ◽

10.1007/jhep12(2020)126 ◽

2020 ◽

Vol 2020 (12) ◽

Author(s):

Johanna Erdmenger ◽

Pascal Fries ◽

Ignacio A. Reyes ◽

Christian P. Simon

Keyword(s):

Complex Analysis ◽

Conformal Symmetry ◽

Standard Technique ◽

Analytic Structure ◽

Point Function ◽

Free Fermions ◽

Modular Evolution ◽

Non Local ◽

Kms Condition ◽

New Formula

Abstract Modular flow is a symmetry of the algebra of observables associated to space-time regions. Being closely related to entanglement, it has played a key role in recent connections between information theory, QFT and gravity. However, little is known about its action beyond highly symmetric cases. The key idea of this work is to introduce a new formula for modular flows for free chiral fermions in 1 + 1 dimensions, working directly from the resolvent, a standard technique in complex analysis. We present novel results — not fixed by conformal symmetry — for disjoint regions on the plane, cylinder and torus. Depending on temperature and boundary conditions, these display different behaviour ranging from purely local to non-local in relation to the mixing of operators at spacelike separation. We find the modular two-point function, whose analytic structure is in precise agreement with the KMS condition that governs modular evolution. Our ready-to-use formulae may provide new ingredients to explore the connection between spacetime and entanglement.

Download Full-text