A refinement of an estimate of the arithmetic minimum of the product of nonhomogeneous linear forms (regarding Minkowski's nonhomogeneous conjecture)

1982 ◽  
Vol 18 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kh. N. Narzullaev ◽  
B. F. Skubenko
Keyword(s):  
Linear Forms ◽  
Arithmetic Minimum

Estimates of the nonhomogeneous arithmetic minimum of the product of linear forms

1990 ◽  
Vol 52 (3) ◽  
pp. 3098-3109
Author(s):  
A. V. Malyshev
Keyword(s):  
Linear Forms ◽  
Arithmetic Minimum ◽  
Product Of Linear Forms

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

Isolated minima of the product of n linear forms

1953 ◽  
Vol 49 (1) ◽  
pp. 59-62 ◽  
Author(s):  
E. S. Barnes
Keyword(s):  
Lower Bound ◽  
Upper Bound ◽  
Linear Forms ◽  
Image Position

Letbe n linear forms with real coefficients and determinant Δ = ∥ aij∥ ≠ 0; and denote by M(X) the lower bound of | X1X2 … Xn| over all integer sets (u) ≠ (0). It is well known that γn, the upper bound of M(X)/|Δ| over all sets of forms Xi, is finite, and the value of γn has been determined when n = 2 and n = 3.

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