Inverse problem for upper asymptotic density
نویسندگان
چکیده
منابع مشابه
Inverse Problem For Upper Asymptotic Density II
Inverse problems study the structure of a set A when the A+A is “small”. In the article, the structure of an infinite set A of natural numbers is described when A+A has the least possible upper asymptotic density and A contains two consecutive numbers. For example, if the upper asymptotic density α of A is between 0 and 2 , the upper asymptotic density of A+A is less than or equal to 3 2α, and ...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولAsymptotic Inverse Problem for Almost-Periodically Perturbed Quantum Harmonic Oscillator
Let {μn}n=0 be the spectrum of − d 2 dx2 +x2+q(x) in L2(R), where q is an even almostperiodic complex-valued function with bounded primitive and derivative. Suppose that the asymptotic approximation to the first asymptotic correction ∆μn = μn − μn + o(n− 1 4 ), μn = 2n + 1 is known. We prove the formula that gives the frequencies and the Fourier coefficients of q in terms of ∆μn. AMS Mathematic...
متن کاملAsymptotic distributions of Neumann problem for Sturm-Liouville equation
In this paper we apply the Homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type on $[0,pi]$ with Neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued Sign-indefinite number of $C^{1}[0,pi]$ and $lambda$ is a real parameter.
متن کاملInverse Density as an Inverse Problem: the Fredholm Equation Approach
We address the problem of estimating the ratio q p where p is a density function and q is another density, or, more generally an arbitrary function. Knowing or approximating this ratio is needed in various problems of inference and integration often referred to as importance sampling in statistical inference. It is also closely related to the problem of covariate shift in transfer learning. Our...
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: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03122-7