scholarly journals Degree one Milnor K-invariants of groups of multiplicative type

2021 ◽  
Vol 577 ◽  
pp. 149-174
Author(s):  
Alexander Wertheim
Keyword(s):  
Multiplicative Type

IMPROVED PERFORMANCE PHASE DETECTOR FOR MULTIPLICATIVE SECOND-ORDER PLL SYSTEMS USING DEFORMED ALGEBRA

2014 ◽  
Vol 23 (01) ◽  
pp. 1450008
Author(s):  
MARCONI O. DE ALMEIDA ◽  
EDUARDO T. F. SANTOS ◽  
JOSÉ M. ARAÚJO
Keyword(s):  
Control Systems ◽  
Tracking System ◽  
Phase Detector ◽  
Phase Locked Loops ◽  
Frequency Tracking ◽  
Maximum Likelihood Approach ◽  
Multiplicative Type ◽  
Likelihood Approach ◽  
Improved Performance ◽  
And Control

Phase-locked loops (PLL) is a phase and/or frequency tracking system, widely used in communication and control systems. The sinusoidal multiplicative type PLL still remains a recurrent model, due the fact that its derivation is originated from the maximum likelihood approach. In this note, it is showed as a generalized product, called q-product, which can be used to implement the phase detector and improve some important parameters of the PLL system, as the block linearity and pull-in characteristics. Numerical examples are presented in order to illustrate the proposal.

scholarly journals Embryological Observations of Fruit Development in Mimosa pudica Linn.

2021 ◽  
Vol 4 (2) ◽  
pp. 130-132
Author(s):  
Yogesh Shastri
Keyword(s):  
Seed Coat ◽  
Fruit Development ◽  
Mimosa Pudica ◽  
Multiplicative Type

The present papers deal with embryological studies of the fruit development in Mimosa pudica Linn.. Observations on seed coat development is of exotestal pattern and is of multiplicative type, Pericarp is differentiated into epicarp, mesocarp and endocarp were noted.

An estimate of stability of the reconstruction of the normal multiplicative type

2000 ◽  
Vol 99 (4) ◽  
pp. 1492-1501
Author(s):  
A. P. Ushakova ◽  
V. N. Ushakov
Keyword(s):  
Multiplicative Type

scholarly journals On functional equations of the multiplicative type

2015 ◽  
Vol 431 (1) ◽  
pp. 283-299
Author(s):  
Esteban A. Chávez ◽  
Prasanna K. Sahoo
Keyword(s):  
Functional Equations ◽  
Multiplicative Type
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