Algebraic invariants of projections of varieties and partial elimination ideals

2021 ◽  
Author(s):  
Sijong Kwak ◽  
Hop D. Nguyen ◽  
Thanh Vu
Keyword(s):  
Algebraic Invariants ◽  
Partial Elimination

Partial elimination of valine-oxygen during penicillin biosynthesis

1981 ◽  
pp. 650 ◽  
Author(s):  
James S. Delderfield ◽  
Eli Mtetwa ◽  
Robert Thomas ◽  
Themba E. Tyobeka
Keyword(s):  
Penicillin Biosynthesis ◽  
Partial Elimination

Elements of Spectral Theory for Generalized Derivations II : The Semifredholm Domain

1981 ◽  
Vol 33 (5) ◽  
pp. 1205-1231 ◽  
Author(s):  
Lawrence A. Fialkow
Keyword(s):  
Hilbert Spaces ◽  
Simple Formula ◽  
Decomposition Theorem ◽  
Linear Operators ◽  
Generalized Derivations ◽  
Bounded Linear ◽  
Infinite Dimensional ◽  
Hilbert Space Operators ◽  
Algebraic Invariants ◽  
Fredholm Theorem

Let and denote infinite dimensional Hilbert spaces and let denote the space of all bounded linear operators from to . For A in and B in , let τAB denote the operator on defined by τAB(X) = AX – XB. The purpose of this note is to characterize the semi-Fredholm domain of τAB (Corollary 3.16). Section 3 also contains formulas for ind(τAB – λ). These results depend in part on a decomposition theorem for Hilbert space operators corresponding to certain “singular points” of the semi-Fredholm domain (Theorem 2.2). Section 4 contains a particularly simple formula for ind(τAB – λ) (in terms of spectral and algebraic invariants of A and B) for the case when τAB – λ is Fredholm (Theorem 4.2). This result is used to prove that (τBA) = –ind(τAB) (Corollary 4.3). We also prove that when A and B are bi-quasi-triangular, then the semi-Fredholm domain of τAB contains no points corresponding to nonzero indices.

Newton and the Magic Vase of Circe

KronoScope ◽  
2004 ◽  
Vol 4 (2) ◽  
pp. 259-268
Author(s):  
Robert Martone
Keyword(s):  
Physical Theory ◽  
Active Component ◽  
World System ◽  
Fundamental Property ◽  
Physical World ◽  
Common Solution ◽  
Mechanical Philosophy ◽  
Partial Elimination ◽  
Definition Of

AbstractTime is a fundamental property of the physical world. Because time encompasses the antinomic qualities of transience and duration, the definition of time poses a dilemma for the formulation of a comprehensive physical theory. The partial elimination of time is a common solution to this dilemma. In his mechanical philosophy, Newton appears to resort to the elimination of the transient quality of time by identifying time with duration. It is suggested, however, that the transient quality of time may be identified as the active component of the Newtonian concept of inertia, a quasi occult quality of matter that is correlated with change, and that is essential to defining duration. The assignment of the transient quality of time to matter is a necessary consequence of Newton's attempt to render a world system of divine mathematical order. Newton's interest in alchemy reflects this view that matter is active and mutable in nature.

scholarly journals Analysis of the Modified Construction of the Column Mechanism MacPherson

2018 ◽  
Vol 19 (11) ◽  
pp. 41-44
Author(s):  
Marek Kwietniewski ◽  
Tadeusz Bil
Keyword(s):  
Mathematical Model ◽  
Steering Wheel ◽  
Passenger Cars ◽  
Proper Selection ◽  
Front Suspension ◽  
Change Of Direction ◽  
Partial Elimination ◽  
Selection Of

The McPherson column name comes from the inventor of this Earle S. MacPherson solution, which was first manufactured at the Ford plant in 1949. This is one of the most commonly used types of front suspension in popular passenger cars. The advantage of this type of suspension is a compact construction, but the disadvantage is. The influence of the damping motion on the position of the steering wheel may result in an unintentional change of direction of travel. At the same time, there is a slight additional tilt of the wheels when the "spring" movement. In the proposed solution, partial elimination of this type of incorrectness is proposed by changing the type of connection of the steering rod end to the steering wheels of the vehicle. The introduced change consists in replacing one of the spherical joints in these joints into two rotary joints. Such a change introduces a mathematical model describing the behavior of the suspension under the influence of the depreciation of additional parameters. Proper selection of these parameters allows for significant reduction of unnecessary direction changes during driving. The described model of the structure of the mechanism allows to analyze the influence of all its dimensions on the selected parameters of the behavior of the wheels during the ride, resulting from the movement of the suspension and steering.

Algebraic Invariants.

1915 ◽  
Vol 22 (1) ◽  
pp. 16
Author(s):  
G. A. Miller ◽  
Leonard Eugene Dickson
Keyword(s):  
Algebraic Invariants

scholarly journals Simultaneous approximation of et and ℘(t)

1982 ◽  
Vol 33 (2) ◽  
pp. 171-178
Author(s):  
K. Saradha
Keyword(s):  
Complex Number ◽  
Elliptic Function ◽  
Simultaneous Approximation ◽  
Algebraic Numbers ◽  
Weierstrass Elliptic Function ◽  
Algebraic Invariants ◽  
Image Position

AbstractLet t be any complex number different from the poles of a Weierstrass elliptic function ℘(z), having algebraic invariants. Then we estimate from below the sum where α and β are algebraic numbers. The estimate is given in terms of the heights of α and β and the degree of the field Q(α, β), where Q is the field of rationals.

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