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Normalized solutions of the Schrödinger equation with potential

Mathematische Nachrichten, 2023
AbstractIn this paper, for dimension and prescribed mass , we consider the following nonlinear scalar field equation with constraint: where is a Lagrange multiplier, . In particular, satisfies mass supercritical and Sobolev subcritical growth. We prove the existence results of the normalized solution and infinitely many normalized solutions to the ...
Xin Zhao, Wenming Zou
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Space of Solutions for a Normal Mixture

Biometrika, 1973
In a recent study of the distribution of Vb1 in sampling from Pearson Type I distributions (Bowman & Shenton, 1973), it was decided to approximate the distribution by equating the lower-order moments to those of some well-known distributions, such as the Pearson system, Gram-Charlier distribution, etc.
Bowman, K. O., Shenton, L. R.
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Determination of the normality of cholinesterase solutions

Analytical Biochemistry, 1978
Abstract A very potent anticholinesterase compound, 7-(diethoxyphosphinyloxy)- N -methylquinolinium fluorosulfate, has been used to determine the normality of acetylcholinesterase solutions. The inhibitor reacts rapidly and completely with acetylcholinesterase.
M A, Gordon   +3 more
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The concentration of protein solutions by normal freezing

Biotechnology and Bioengineering, 1974
AbstractAn apparatus is described which is designed for preparative freeze concentration experiments by the technique of normal freezing. It has a capacity of approximately 22 liters distributed over twelve vessels. The influence of various geometrical and chemical parameters such as stirring speed, crystallization rate, and sample composition on the ...
J C, Janson, B, Ersson, J, Porath
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On the solution of normal equations

BIT, 1965
In this paper the damped least squares method is discussed. A convergence proof is given and the rate of convergence investigated. Although promising from a theoretical point of view, numerical experiments, also described in the paper, indicate that the method is not satisfactory.
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Normal Salt Solution.

JAMA: The Journal of the American Medical Association, 1898
Chicago, Aug. 17, 1898. To the Editor: —Have just been reading the really valuable article, "Saline Infusions" ( vide Journal, August 6, p. 306), and its suggestions will doubtless have great weight with many practitioners. In view of that fact, I thought it might be well to call attention to a typographic error in the fourth line from the top of ...
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Game Solutions And The Normal Form

1991
Among the solution concepts proposed for noncooperative games, some can be defined on the normal formof the game whereas others can be defined only on the extensive form(or on the agent normal form, which is a game form intermediate between the normal and the extensive forms).
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Systolic implementation of the adaptive solution to normal equations

Computer Vision, Graphics, and Image Processing, 1990
We are interested in the systolic computation of projection operators entering digital signal processing, or more precisely, solution of the so-called normal equations involved in adaptive systems. The systolic array proposed achieves a real-time adaptive solution, i.e., updates the left- and right-hand sides of the linear equation and computes its ...
Comon, Pierre   +2 more
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Generalized Normal Solutions of the Boltzmann Equation

The Physics of Fluids, 1963
Solutions of the linearized Boltzmann equation which may be found from finite moment equations are studied. A general solution to this problem is found and its properties discussed. A more restrictive class of such solutions, called generalized normal solutions, are then uncovered.
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