scholarly journals On the Number of Zeros of Functions in Analytic Quasianalytic Classes

2020 ◽  
Vol 16 (1) ◽  
pp. 55-65
Author(s):  
Sasha Sodin ◽  
Keyword(s):  
Number Of Zeros ◽  
Zeros Of Functions

Estimate of the number of zeros of functions of a class containing monosplines

1974 ◽  
Vol 16 (1) ◽  
pp. 618-623
Author(s):  
N. A. Lebedev ◽  
S. M. Lozinskii
Keyword(s):  
Number Of Zeros ◽  
Zeros Of Functions

ZEROS OF COMPOSITE MEROMORPHIC FUNCTIONS AND AHLFORS'S THEORY OF COVERING SURFACES

2001 ◽  
Vol 33 (6) ◽  
pp. 682-684
Author(s):  
A. SAUER
Keyword(s):  
Meromorphic Functions ◽  
Number Of Zeros ◽  
Zeros Of Functions

This paper improves a theorem of Bergweiler on the zeros of functions f ○ g — R with f meromorphic, g entire and R rational. The proof yields a simple inequality for the number of zeros and T(r, g).

DIF Detection With Zero-Inflation Under the Factor Mixture Modeling Framework

2021 ◽  
pp. 001316442110289
Author(s):  
Sooyong Lee ◽  
Suhwa Han ◽  
Seung W. Choi
Keyword(s):  
Total Sample ◽  
Mixture Modeling ◽  
Zero Inflation ◽  
Modeling Framework ◽  
Detection Power ◽  
Suggested Procedure ◽  
Response Data ◽  
Number Of Zeros ◽  
Factor Mixture Modeling ◽  
Study Results

Response data containing an excessive number of zeros are referred to as zero-inflated data. When differential item functioning (DIF) detection is of interest, zero-inflation can attenuate DIF effects in the total sample and lead to underdetection of DIF items. The current study presents a DIF detection procedure for response data with excess zeros due to the existence of unobserved heterogeneous subgroups. The suggested procedure utilizes the factor mixture modeling (FMM) with MIMIC (multiple-indicator multiple-cause) to address the compromised DIF detection power via the estimation of latent classes. A Monte Carlo simulation was conducted to evaluate the suggested procedure in comparison to the well-known likelihood ratio (LR) DIF test. Our simulation study results indicated the superiority of FMM over the LR DIF test in terms of detection power and illustrated the importance of accounting for latent heterogeneity in zero-inflated data. The empirical data analysis results further supported the use of FMM by flagging additional DIF items over and above the LR test.

SOME EXTENSIONS OF A LEMMA OF KOTLARSKI

2012 ◽  
Vol 28 (4) ◽  
pp. 925-932 ◽  
Author(s):  
Kirill Evdokimov ◽  
Halbert White
Keyword(s):  
Characteristic Function ◽  
Characteristic Functions ◽  
Real Zeros ◽  
Number Of Zeros ◽  
Weaker Conditions

This note demonstrates that the conditions of Kotlarski’s (1967, Pacific Journal of Mathematics 20(1), 69–76) lemma can be substantially relaxed. In particular, the condition that the characteristic functions of M, U1, and U2 are nonvanishing can be replaced with much weaker conditions: The characteristic function of U1 can be allowed to have real zeros, as long as the derivative of its characteristic function at those points is not also zero; that of U2 can have an isolated number of zeros; and that of M need satisfy no restrictions on its zeros. We also show that Kotlarski’s lemma holds when the tails of U1 are no thicker than exponential, regardless of the zeros of the characteristic functions of U1, U2, or M.

A NOTE ON THE NUMBER OF ZEROS IN THE COLUMNS OF THE CHARACTER TABLE OF A GROUP

2012 ◽  
Vol 12 (02) ◽  
pp. 1250150 ◽  
Author(s):  
JINSHAN ZHANG ◽  
ZHENCAI SHEN ◽  
SHULIN WU
Keyword(s):  
Finite Groups ◽  
Irreducible Character ◽  
Conjugacy Classes ◽  
Character Table ◽  
Number Of Zeros

The finite groups in which every irreducible character vanishes on at most three conjugacy classes were characterized [J. Group Theory13 (2010) 799–819]. Dually, we investigate the finite groups whose columns contain a small number of zeros in the character table.

scholarly journals FERMIONS IN THE BACKGROUND OF DILATONIC SPHALERONS

1994 ◽  
Vol 09 (40) ◽  
pp. 3731-3739 ◽  
Author(s):  
GEORGE LAVRELASHVILI
Keyword(s):  
Gauge Field ◽  
Field Potential ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Zero Modes ◽  
Discrete Sequence ◽  
Number Of Zeros ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

We discuss the properties and interpretation of a discrete sequence of a static spherically symmetric solutions of the Yang-Mills dilaton theory. This sequence is parametrized by the number of zeros, n, of a component of the gauge field potential. It is demonstrated that solutions with odd n possess all the properties of the sphaleron. It is shown that there are normalizable fermion zero modes in the background of these solutions. The question of instability is critically analyzed.

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