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Register a new userقابلية جمع متسلسلة فورييه بالطريقة المصفوفية
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في هذا البحث نقوم بدراسة قابلية جمع متسلسلة فورييه ( و تدعى معاملات فورييه ), و ذلك بالطريقة المصفوفية. سيتم عرض هذه الطريقة من خلال مبرهنة مع إثباتها, و لكن بعد وضع التعاريف و المفاهيم الأساسية اللازمة لذلك.
No English abstract
References used
Gupta,B.L, (1973) Summability Of Fourier Series, Periodica Mathematica Hungarica, Vol. 4 (1), 45-50
Kenneth,B, Howell, (2001) Principles of Fourier Series Analysis
Rosenberg,B, (2007) Asymptotic order Notation
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تعد متسلسلات فورييه المثلثية إحدى الدراسات الهامة في التحليل الحديث وقد برزت هذه المتسلسلات لاول مرة عند دراسة العالم برنوبي للأوتار المهتزة عام (1753)
Let f be a periodic function and integrable, in
thesense of Lebesgue.In this paper, quite new theorems on
almost Matrix summability of Fourier series and its conjugate
have been established. our study generalizes all previously
known results of this line of work
Various types of criteria, under varying conditions, for the Nörlund
summability of the derived fourier series have been previously
obtainedby Hille and Tamarkin (1932), Astrachan (1936) and
Prasad and Siddiqi (1950). In this paper quite a differe
nt and
general type of criterion for the summability of the derived
fourier series has been obtained.
Where we shall consider a function f(x) of bounded variation
integrable in the sense of Lebesgue, and periodic.
Relating entities and events in text is a key component of natural language understanding. Cross-document coreference resolution, in particular, is important for the growing interest in multi-document analysis tasks. In this work we propose a new mod
el that extends the efficient sequential prediction paradigm for coreference resolution to cross-document settings and achieves competitive results for both entity and event coreference while providing strong evidence of the efficacy of both sequential models and higher-order inference in cross-document settings. Our model incrementally composes mentions into cluster representations and predicts links between a mention and the already constructed clusters, approximating a higher-order model. In addition, we conduct extensive ablation studies that provide new insights into the importance of various inputs and representation types in coreference.
We will first introduce the basic ingredient of Fourier methods in
section 1, then we will do some analysis on the Fourier
approximation, in the last section, we will apply the Fourier
method to solve some ODEs . we will write Matlab code for
num
erical result .
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