scholarly journals Generic forms of low Chow rank

2017 ◽  
Vol 16 (03) ◽  
pp. 1750047 ◽  
Author(s):  
Douglas A. Torrance
Keyword(s):  
Ambient Space ◽  
Secant Variety ◽  
Linear Forms ◽  
Chow Variety

The least number of products of linear forms that may be added together to obtain a given form is the Chow rank of this form. The Chow rank of a generic form corresponds to the smallest [Formula: see text] for which the [Formula: see text]th secant variety of the Chow variety fills the ambient space. We show that, except for certain known exceptions, this secant variety has the expected dimension for low values of [Formula: see text].

scholarly journals Equations for secant varieties of Chow varieties

2017 ◽  
Vol 27 (08) ◽  
pp. 1087-1111
Author(s):  
Yonghui Guan
Keyword(s):  
Secant Varieties ◽  
Linear Forms ◽  
Product Of Linear Forms ◽  
Chow Variety ◽  
The Ideal

The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Finding equations in the ideal of secant varieties of Chow varieties would enable one to prove Valiant's conjecture [Formula: see text]. In this paper, I use the method of prolongation to obtain equations for secant varieties of Chow varieties as [Formula: see text]-modules.

Impact of Training and Development Programmes on the Productivity of Employees in the Banks

2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Jaspreet Kaur
Keyword(s):  
Regression Analysis ◽  
Banking Sector ◽  
Human Resources Management ◽  
Training And Development ◽  
Linear Forms ◽  
Knowledge And Skills ◽  
Resources Management ◽  
Level Of Satisfaction ◽  
Log Linear ◽  
The Impact

Manpower training and development is an important aspect of human resources management which must be embarked upon either proactively or reactively to meet any change brought about in the course of time. Training is a continuous and perennial activity. It provides employees with the knowledge and skills to perform more effectively. The study examines the opinions of trainees regarding the impact of training and development programmes on the productivity of employees in the selected banks. To evaluate the impact of training and development programmes on productivity of banking sector, multiple regression analysis was employed in both log as well as log-linear forms. Also the impact of three sets of training i.e. objectives, methods and basics on level of satisfaction of respondents with the training was also examined through employing the regression analysis in the similar manner.

scholarly journals On the Condition of Independence of Linear Forms with a Random Number of Summands

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1516
Author(s):  
Abram M. Kagan ◽  
Lev B. Klebanov
Keyword(s):  
Random Number ◽  
Linear Forms

The property of independence of two random forms with a non-degenerate random number of summands contradicts the Gaussianity of the summands.

scholarly journals True complexity of polynomial progressions in finite fields

2021 ◽  
pp. 1-53
Author(s):  
Borys Kuca
Keyword(s):  
Finite Fields ◽  
Linear Forms ◽  
Gowers Norm ◽  
Counting Lemma

Abstract The true complexity of a polynomial progression in finite fields corresponds to the smallest-degree Gowers norm that controls the counting operator of the progression over finite fields of large characteristic. We give a conjecture that relates true complexity to algebraic relations between the terms of the progression, and we prove it for a number of progressions, including $x, x+y, x+y^{2}, x+y+y^{2}$ and $x, x+y, x+2y, x+y^{2}$ . As a corollary, we prove an asymptotic for the count of certain progressions of complexity 1 in subsets of finite fields. In the process, we obtain an equidistribution result for certain polynomial progressions, analogous to the counting lemma for systems of linear forms proved by Green and Tao.

Linear forms of plasmid DNA are superior to supercoiled structures as active templates for gene expression in plant protoplasts

1988 ◽  
Vol 11 (4) ◽  
pp. 517-527 ◽  
Author(s):  
Nurit Ballas ◽  
Nehama Zakai ◽  
Devorah Friedberg ◽  
Abraham Loyter
Keyword(s):  
Gene Expression ◽  
Plasmid Dna ◽  
Plant Protoplasts ◽  
Linear Forms

scholarly journals A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS

2016 ◽  
Vol 59 (2) ◽  
pp. 349-357 ◽  
Author(s):  
STEPHEN HARRAP ◽  
NIKOLAY MOSHCHEVITIN
Keyword(s):  
Diophantine Approximation ◽  
Affirmative Answer ◽  
Famous Conjecture ◽  
Linear Forms ◽  
Badly Approximable

AbstractWe prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give an affirmative answer to the analogue in this setting of a famous conjecture of Schmidt from Diophantine approximation.

scholarly journals General systems of linear forms: Equidistribution and true complexity

2016 ◽  
Vol 292 ◽  
pp. 446-477 ◽  
Author(s):  
Hamed Hatami ◽  
Pooya Hatami ◽  
Shachar Lovett
Keyword(s):  
Linear Forms ◽  
General Systems
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