On the Generalization of the Floor of the Square Root Sequence

نویسنده

  • Yao Weili
چکیده

The floor of the square root sequence is the natural sequence, where each number is repeated 2n+1 times. In this paper, we use analytic method to study the mean value properties of its generalization, and give an interesting asymptotic formula.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

بررسی دقت رادیوگرافی پانورامیک در تعیین ارتباط ریشه دندان‌های خلفی فک بالا با سینوس ماگزیلای به کمک Cone-Beam CT

  Background and Aims: It is crucial to verify the relationship between root apices and maxillary sinus floor in some surgical procedures like extraction and implant placement or in orthodontic movements like intrusion. Protrusion of roots into the sinus increases the risk of post extraction pneumatization which in turn decreases the available bone at the implant or denture sites. The aim of th...

متن کامل

A generalization of Profile Hidden Markov Model (PHMM) using one-by-one dependency between sequences

The Profile Hidden Markov Model (PHMM) can be poor at capturing dependency between observations because of the statistical assumptions it makes. To overcome this limitation, the dependency between residues in a multiple sequence alignment (MSA) which is the representative of a PHMM can be combined with the PHMM. Based on the fact that sequences appearing in the final MSA are written based on th...

متن کامل

Comparison of the Distances between the Maxillary Sinus Floor and Root-Tips of the First and Second Maxillary Molar Teeth Using Panoramic Radiography among Dolichocephalic and Brachycephalic and Mesocephalic Individuals

Introduction: Comparison of the relationships and distance between maxillary root tips and   the maxillary sinus floor using oral panoramic in the dolichocephalic and brachycephalic compared to mesocephalic individuals. Methods: Oral panoramic images from 300 individuals were analyzed and the relationships and distance between the maxillary root tips and the sinus floor was assessed by qualitat...

متن کامل

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 کامل

The Relation Between Maxillary Sinus Floor and Posterior Maxillary Teeth Roots Using Panoramic and Cone Beam Computed Tomography

Introduction: Understanding the anatomical and pathological relationships between posterior teeth or edentulous area with maxillary sinus is essential for diagnosis and treatment management.The present study aimed to assess the relationship between maxillary sinus floor and posterior teeth roots using panoramic radiography and Cone Beam Computed Tomography (CBCT). Materials and Methods: In thi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013