Average Number of Runs and Squares in Necklace
نویسندگان
چکیده
A repetition is an important property of a string. In this paper we consider the average number of occurrences of primitively rooted repetitions in necklace. First, we define circular square and circular run for a string and show the average number of them. Using these results, we obtain the average number of squares, the average number of runs and the average sum of exponents of runs in a necklace, exactly.
منابع مشابه
Necklace Processes via Pólya Urns
Mallows and Shepp (2008) developed the following necklace processes. Start with a necklace consisting of one white bead and one black bead, and insert, one at a time, under a deterministic rule, a white bead or a black bead between a randomly chosen adjacent pair. They studied the statistical properties of the number of white beads by investigating the nature of the moments and the expected num...
متن کاملRemodeling Of Average Of Patients QC Method To Maximize Lengths Of Analytical Runs In Regional Reference Laboratories
Background and Objective: Improved and modified automation will require the development of smart process control systems that provide on-line decisions to release patients’ test results based on high analytical quality assurance formula. Materials and Methods: We collected patients’ test results from 10840 healthy subjects based on 1.96z as truncation limit for 29 common haematochemical ana...
متن کاملIs Garlic Necklace Effective in the Treatment of Neonatal Jaundice
Background: Hyperbilirubinemia is a prevalent clinical problem which affects 60% of term and 80% of preterm neonates. Garlic is the most well-known remedy used in Iraq for the treatment of jaundice. To test the effectiveness of garlic necklace in the treatment of neonatal jaundice.Methods: This cohort study was conducted in the neonatal intensive care unit (NICU) of Al Zahraa Teaching Hos...
متن کاملA Least Squares Approach to Estimating the Average Reservoir Pressure
Least squares method (LSM) is an accurate and rapid method for solving some analytical and numerical problems. This method can be used to estimate the average reservoir pressure in well test analysis. In fact, it may be employed to estimate parameters such as permeability (k) and pore volume (Vp). Regarding this point, buildup, drawdown, late transient test data, modified Muskat method, interfe...
متن کاملDistinct Squares in Circular Words
A circular word, or a necklace, is an equivalence class under conjugation of a word. A fundamental question concerning regularities in standard words is bounding the number of distinct squares in a word of length n. The famous conjecture attributed to Fraenkel and Simpson is that there are at most n such distinct squares, yet the best known upper bound is 1.84n by Deza et al. [Discr. Appl. Math...
متن کاملذخیره 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 2010