Quasiperiodic Patterns of the Complex Dimensions of Nonlattice Self-Similar Strings, via the LLL Algorithm
نویسندگان
چکیده
The Lattice String Approximation algorithm (or LSA algorithm) of M. L. Lapidus and van Frankenhuijsen is a procedure that approximates the complex dimensions nonlattice self-similar fractal string by lattice string. implication this set has quasiperiodic pattern. Using algorithm, together with multiprecision polynomial solver MPSolve which due to D. A. Bini, G. Fiorentino Robol, we give new significantly more powerful presentation patterns sets strings. implementation requires practical method for generating simultaneous Diophantine approximations, in some cases can accomplish continued fraction process. Otherwise, as was suggested Frankenhuijsen, use LLL K. Lenstra, H. W. Lovász.
منابع مشابه
application of brand personality scale in automobile industry: the study of samand’s brand personality dimensions
این تحقیق شخصیت برند سمند را در ایران با استفاده از مدل پنج بعدی آکر (1997) بعنوان یک چهارچوب بطور توصیفی سنجیده است. بنابر این چهارچوب که دراصل در 42 جزء (42 ویزگی شخصیتی) ودر پنج بعد شخصیتی طراحی شده بود ودر کشورها وصنایع مختلف آزموده شده بود, پرسنامه به زبان فارسی ترجمه شده و با استفاده از روشهای ترجمه معکوس و مصاحبه عمیق با 12 متخصص ایرانی به 38 جزء کاهش یافت. و نظرسنجی ای در پنج نمایندگی ا...
15 صفحه اولnew semigroup compactifications via the enveloping semigroups of associated flows
this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.
15 صفحه اولOn the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials
In this paper we give a new characterization of the closure of the set of the real parts of the zeros of a particular class of Dirichlet polynomials which is associated to the set of dimensions of fractality of certain fractal strings. We show, for some representative cases of nonlattice Dirichlet polynomials, that the real parts of their zeros are dense in their associated critical intervals, ...
متن کاملthe relationship between academic self-concept and academic achievement in english and general subjects of the students of high school
according to research, academic self-concept and academic achievement are mutually interdependent. in the present study, the aim was to determine the relationship between the academic self-concept and the academic achievement of students in english as a foreign language and general subjects. the participants were 320 students studying in 4th grade of high school in three cities of noor, nowshah...
ذخیره 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: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9060591