Linear forms and arithmetic equivalence

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.

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

Mathematics ◽

10.3390/math9131516 ◽

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.

True complexity of polynomial progressions in finite fields

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s0013091521000262 ◽

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

Plant Molecular Biology ◽

10.1007/bf00039032 ◽

1988 ◽

Vol 11 (4) ◽

pp. 517-527 ◽

Cited By ~ 25

Author(s):

Nurit Ballas ◽

Nehama Zakai ◽

Devorah Friedberg ◽

Abraham Loyter

Keyword(s):

Gene Expression ◽

Plasmid Dna ◽

Plant Protoplasts ◽

Linear Forms

A NOTE ON WEIGHTED BADLY APPROXIMABLE LINEAR FORMS

Glasgow Mathematical Journal ◽

10.1017/s0017089516000203 ◽

2016 ◽

Vol 59 (2) ◽

pp. 349-357 ◽

Cited By ~ 2

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.

General systems of linear forms: Equidistribution and true complexity

Advances in Mathematics ◽

10.1016/j.aim.2016.01.019 ◽

2016 ◽

Vol 292 ◽

pp. 446-477 ◽

Cited By ~ 2

Author(s):

Hamed Hatami ◽

Pooya Hatami ◽

Shachar Lovett

Keyword(s):

Linear Forms ◽

General Systems

Isolated minima of the product of n linear forms

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100028048 ◽

1953 ◽

Vol 49 (1) ◽

pp. 59-62 ◽

Cited By ~ 6

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.

Linear forms in elliptic logarithms

Journal of Number Theory ◽

10.1016/0022-314x(85)90016-2 ◽

1985 ◽

Vol 20 (1) ◽

pp. 1-69 ◽

Cited By ~ 6

Author(s):

Kunrui Yu

Keyword(s):

Linear Forms

Anti-DNA antibodies in the blood of patients with schizophrenia possess DNA-hydrolyzing activity

European Psychiatry ◽

10.1016/j.eurpsy.2016.01.628 ◽

2016 ◽

Vol 33 (S1) ◽

pp. s247-s248

Author(s):

E. Ermakov ◽

L. Smirnova ◽

L. Sinyanskii ◽

D. Dobrygina ◽

A. Semke ◽

...

Keyword(s):

Statistical Analysis ◽

Infectious Diseases ◽

Negative Symptoms ◽

Clinical Symptoms ◽

Dnase Activity ◽

Positive Symptoms ◽

Linear Forms ◽

Dna Antibodies ◽

Competing Interest ◽

Positive And Negative Symptoms

IntroductionAutoantibodies (Abs) to different neuronal receptors and DNA were detected in the blood of patients with schizophrenia. Abs hydrolyzing DNA were detected in pool of polyclonal autoantibodies in autoimmune and infectious diseases, such catalytic Abs were named abzymes.ObjectivesTo investigate the level of anti-DNA antibodies and DNA-hydrolyzing activity of IgG from the serum of patients with schizophrenia depending on leading clinical symptoms.Aims– To measure the concentration of anti-DNA Abs in serum of patients with leading positive and negative symptoms;– to determine DNA-hydrolyzing activity of IgG.MethodsIn our study, 51 patients were included. The levels of antiDNA Abs were determined using ELISA. DNA-hydrolyzing activity was detected as the level(%) of supercoiled pBluescript DNA transition in circular and linear forms. Statistical analysis was performed in “Statistica 9.0”.ResultsAnti-DNA Abs of patients with schizophrenia not only bind DNA, but quite efficiently hydrolyze the substrate. IgG of patient with schizophrenia were shown to possess DNA hydrolyzing activity. It should be noted that DNAase activity of IgG in patients with schizophrenia with a negative symptoms was significantly higher, than in patients with positive symptoms (Table 1).ConclusionsThe data show a correlation with the level of DNase activity and leading symptoms of patients with schizophrenia.Disclosure of interestThe authors have not supplied their declaration of competing interest.

On convex linear forms

Algebra Universalis ◽

10.1007/bf02485731 ◽

1974 ◽

Vol 4 (1) ◽

pp. 244-249 ◽

Cited By ~ 11

Author(s):

Siemion Fajtlowicz ◽

Jan Mycielski

Keyword(s):

Linear Forms