A decomposition depended on directions for nonsingular linear transformation

1996 ◽  
Vol 17 (8) ◽  
pp. 789-794
Author(s):  
Zhang Shenxue
Keyword(s):  
Linear Transformation ◽  
Nonsingular Linear Transformation

Research on the Sufficient Condition for the Existence of Periodic Solution of FGM Subjected to Aero-Thermal Load

2012 ◽  
Vol 249-250 ◽  
pp. 326-331
Author(s):  
Jing Li ◽  
Xiao Na Yin ◽  
Xiao Dong Jin
Keyword(s):  
Dynamical System ◽  
Periodic Solution ◽  
Linear Transformation ◽  
Thermal Load ◽  
Nonlinear Dynamical System ◽  
Sufficient Condition ◽  
Nonlinear Dynamical ◽  
Multi Scale ◽  
Approach Method ◽  
Nonsingular Linear Transformation

In this paper, the average equations are given through using the multi-scale approach method. By using the Melinkov function, the nonsingular linear transformation and the Poincaré map, the sufficient condition for existence of periodic solution of the nonlinear dynamical system about the FGM subjected to aero-thermal load is derived.

Invariants of a second-order curves under a special linear transformation

2019 ◽  
Vol 2019 (3) ◽  
pp. 19-24
Author(s):  
A. Artykbaev ◽  
B.M. Sultanov
Keyword(s):  
Linear Transformation ◽  
Second Order ◽  
Special Linear

Linear Transformation of Electromagnetic Waves in Large-Scale Axially Symmetric Trap

2020 ◽  
Vol 46 (10) ◽  
pp. 992-1003
Author(s):  
T. A. Khusainov ◽  
E. D. Gospodchikov
Keyword(s):  
Linear Transformation ◽  
Electromagnetic Waves ◽  
Large Scale ◽  
Axially Symmetric

scholarly journals Interconversion of Plasma Free Thyroxine Values from Assay Platforms with Different Reference Intervals Using Linear Transformation Methods

Biology ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 45
Author(s):  
Fanwen Meng ◽  
Jacqueline Jonklaas ◽  
Melvin Khee-Shing Leow
Keyword(s):  
Linear Transformation ◽  
Piecewise Linear ◽  
Equilibrium Dialysis ◽  
Accurate Method ◽  
Reference Intervals ◽  
Thyroid Stimulating Hormone ◽  
Free Thyroxine ◽  
Thyroid Function Tests ◽  
Linear Transformations ◽  
Transformation Methods

Clinicians often encounter thyroid function tests (TFT) comprising serum/plasma free thyroxine (FT4) and thyroid stimulating hormone (TSH) measured using different assay platforms during the course of follow-up evaluations which complicates reliable comparison and interpretation of TFT changes. Although interconversion between concentration units is straightforward, the validity of interconversion of FT4/TSH values from one assay platform to another with different reference intervals remains questionable. This study aims to establish an accurate and reliable methodology of interconverting FT4 by any laboratory to an equivalent FT4 value scaled to a reference range of interest via linear transformation methods. As a proof-of-concept, FT4 was simultaneously assayed by direct analog immunoassay, tandem mass spectrometry and equilibrium dialysis. Both linear and piecewise linear transformations proved relatively accurate for FT4 inter-scale conversion. Linear transformation performs better when FT4 are converted from a more accurate to a less accurate assay platform. The converse is true, whereby piecewise linear transformation is superior to linear transformation when converting values from a less accurate method to a more robust assay platform. Such transformations can potentially apply to other biochemical analytes scale conversions, including TSH. This aids interpretation of TFT trends while monitoring the treatment of patients with thyroid disorders.

scholarly journals Natural partial order on semigroup partial linear transformation with restricted range

2021 ◽  
Vol 1764 (1) ◽  
pp. 012046
Author(s):  
A I A Himayati ◽  
M A Prasetyanto
Keyword(s):  
Partial Order ◽  
Linear Transformation ◽  
Natural Partial Order ◽  
Restricted Range ◽  
Partial Linear

scholarly journals Monomial codes seen as invariant subspaces

2017 ◽  
Vol 15 (1) ◽  
pp. 1099-1107 ◽  
Author(s):  
María Isabel García-Planas ◽  
Maria Dolors Magret ◽  
Laurence Emilie Um
Keyword(s):  
Finite Field ◽  
Linear Algebra ◽  
Linear Transformation ◽  
Cyclic Codes ◽  
Invariant Subspaces ◽  
Hyperinvariant Subspaces ◽  
Computationally Expensive ◽  
The Relationship

Abstract It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known. In this paper a generalization of this relationship is presented between monomial codes over a finite field 𝔽 and hyperinvariant subspaces of 𝔽n under an appropriate linear transformation. Using techniques of Linear Algebra it is possible to deduce certain properties for this particular type of codes, generalizing known results on cyclic codes.

scholarly journals M-Hazy Vector Spaces over M-Hazy Field

Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1118
Author(s):  
Faisal Mehmood ◽  
Fu-Gui Shi
Keyword(s):  
Vector Space ◽  
Linear Transformation ◽  
Binary Operation ◽  
Vector Spaces ◽  
Fundamental Properties ◽  
Classical Algebra ◽  
Important Development ◽  
Fuzzy Algebra ◽  
Convex Spaces

The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M-hazy vector spaces over M-hazy field. Some fundamental properties of M-hazy field, M-hazy vector spaces, and M-hazy subspaces are studied, and some important results are also proved. Furthermore, the linear transformation of M-hazy vector spaces is studied and their important results are also proved. Finally, it is shown that M-fuzzifying convex spaces are induced by an M-hazy subspace of M-hazy vector space.

Linear transformation connecting mass-centre and laboratory wave functions of two particles

1967 ◽  
Vol 96 (2) ◽  
pp. 377-384 ◽  
Author(s):  
M.M. Bakri
Keyword(s):  
Linear Transformation ◽  
Wave Functions ◽  
Mass Centre
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