Square Root Transformation of the Quadratic Equation
نویسندگان
چکیده
منابع مشابه
On the square root of quadratic matrices
Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2times 2$ matrices.
متن کاملstability of the quadratic functional equation
In the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{E}$$ isgiven where $sigma$ is an involution of the normed space $E$ and$k$ is a fixed positive integer. Furthermore we investigate theHyers-Ulam-Rassias stability of the functional equation. TheHyers-Ulam stability on unbounded domains is also studied.Applic...
متن کاملproperties of a square root transformation regression model
This definition of the unit simplex differs subtly from that of Aitchison (1982), as we relax the condition that the components of u must be strictly positive. Under this scenario, use of the ratio (or logratio) to compare different compositions is not ideal since it is undefined in some instances, and subcompositional analysis is also not appropriate due to the possibility of division by zero....
متن کاملStability of a functional equation for square root spirals
Keywords---Hyers-Ulam-Rassias stability, Functional equation, Riemann zeta function, Square root spital. 1. I N T R O D U C T I O N The staxting point of studying the stability of functional equations seems to be the famous talk of Ulam [2] in 1940, in which he discussed a number of important unsolved problems. Among those was the question concerning the stability of group homomorphisms. Let G1...
متن کاملSquare Root ” of the Proca Equation : Spin - 3 / 2 Field Equation
An equation describing particles with spin 3/2 is derived. This equation can be considered as " square root " of the Proca equation in the same sense as the Dirac equation is related to the Klein-Gordon-Fock equation. The equation considered involves fields with spin-3/2 and spin-1/2 (one copy), i.e. multi-spin 1/2, 3/2. The projection operators extracting states with definite energy, spin, and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Asian Journal of Mathematics & Statistics
سال: 2011
ISSN: 1994-5418
DOI: 10.3923/ajms.2011.186.199