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... – Split L into two lists prefix and suffix, each of size n/2 – Sort, by merging, the prefix and the suffix separately: MergeSort(prefix) and MergeSort(suffix) – Merge sorted prefix with sorted suffix as follows: • Initialize final list as empty • Repeat until either prefix or suffix is empty: – Comp ...
Slayt 1
Slayt 1

... A real-time event just after rescheduling can create some problems Determining the rescheduling period is very important Muhlemann et al. (1982)  Job shop environment with processing time variations and machine breakdowns  At each rescheduling period, a static schedule is generated by using dispat ...
Range-Efficient Counting of Distinct Elements in a Massive Data
Range-Efficient Counting of Distinct Elements in a Massive Data

... stream in one-pass using limited space and time per item. An especially important aggregate is the number of distinct elements in a stream, which is often referred to as the zeroth frequency moment and denoted by F0 . The counting of distinct elements arises in numerous applications involving a stre ...
Coping with Friction for Non-penetrating Rigid Body Simulation
Coping with Friction for Non-penetrating Rigid Body Simulation

Quadratic optimization over a second-order cone with linear equality
Quadratic optimization over a second-order cone with linear equality

... et al. [14] provided an exact computable representation based on LMIs. Although the optimal value of problem (QP-SOC) can be obtained in polynomial time [14], there is no known polynomial-time algorithm in the literature to find the optimal solution of problem (QP-SOC) yet. Eichfelder and Povh studi ...
molarity of the NaOH solution
molarity of the NaOH solution

... 3. A 250 milliliter bottle of vinegar reads 5% acidity (5 g acetic acid in 100 gram vinegar).Calculate the concentration of acetic acid in moles per liter. (1mole CH3COOH=60 grams) ...
Streaming algorithms for embedding and computing edit distance in
Streaming algorithms for embedding and computing edit distance in

Streaming algorithms for embedding and computing edit distance in
Streaming algorithms for embedding and computing edit distance in

... parenthesized expressions. The main idea of the algorithm presented in [Sah14] is to process the string left to right, push opening parenthesis on a stack and match them against closing parenthesis. Whenever there is a mismatch remove at random either the closing parenthesis or the opening one. This ...
دراسة تأثير مدى من الجرع الاشعاعيه على بعض الخواص
دراسة تأثير مدى من الجرع الاشعاعيه على بعض الخواص

... developed .In (1985 ) D.A.Rose defined weakly open functions in topological spaces , J.H.Park , Y.B.Park and J.S.Park (1997)introduced the notion of weakly open functions in between fuzzy topological spaces . In this paper we discuss the concept of fuzzy weakly preclosed functions .By ( X , ) we me ...
An Efficient Algorithm for Finding Similar Short Substrings from
An Efficient Algorithm for Finding Similar Short Substrings from

... These days we have many huge string data such as genome sequences, web documents, log data, etc. Since the size of data is so huge that human cannot grasp them intuitively, they must be computationally analyzed. Finding similar substrings or similar substructures is an important way of analyzing the ...
The Open World of Super-Recursive Algorithms and
The Open World of Super-Recursive Algorithms and

... been the main tools of mathematical research. When they repeatedly encountered problems they were not able to solve, mathematicians, and especially experts in mathematical logic, came to the conclusion that it was necessary to develop a rigorous mathematical concept of algorithm and to prove that so ...
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2.1 Pairwise Alignment

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Necessary conditions on minimal system configuration for general
Necessary conditions on minimal system configuration for general

... a special case. Our necessary conditions are developed under the practically sensible assumption that only a finite set of extrema of the multivariate continuous function to be approximated is available. We have first revealed a decomposition property of the general fuzzy systems: A -input fuzzy sys ...
Acyclic Type of Relationships Between Autonomous
Acyclic Type of Relationships Between Autonomous

... AS connectivity data. The Type of Relationship (ToR) problem attempts to address this shortcoming, by inferring the type of relationship between connected ASes based on their routing policies. However, the approaches presented so far are local in nature and do not capture the global hierarchical str ...
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The Summation Package Sigma: Underlying Principles - RISC-Linz

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Lecture Notes for Algorithm Analysis and Design

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50 MATHCOUNTS LECTURES (24)

BASIC RELAXATION MOVE 2 (BRM 2) - Upper - Bowen
BASIC RELAXATION MOVE 2 (BRM 2) - Upper - Bowen

... Note: It is easiest to stand on the left side of the client to perform these moves but if preferred it is acceptable to stand on the right side to perform Moves (7) & (8). Optional Moves If there is little response in the rhomboideus major, rhomboideus minor or levator scapular. Or, if these muscles ...
Asymptotics of Some Nonlinear Eigenvalue Problems for a
Asymptotics of Some Nonlinear Eigenvalue Problems for a

... There are now many rigorous results for (1.2) and (1.3) in the unit ball in dimension N and in more general domains Ω. In particular, upper and lower bounds for λc have been derived for (1.2) and for (1.3) for the range of parameters α and N where solution multiplicity occurs (cf. [8]). In [12] it h ...
On Mathematical Proving1
On Mathematical Proving1

[SE4] Integral simplex using decomposition for the set partitioning
[SE4] Integral simplex using decomposition for the set partitioning

... to ensure a transition from one integer solution to another one when they are entered into the basis. A minimal set satisfying these conditions permits to move to an adjacent integer extreme point. The authors also present an enumeration method to find minimal sets that allow the transition from one ...
Engage NY Module 1 - Mrs. Neubecker's 5th Grade
Engage NY Module 1 - Mrs. Neubecker's 5th Grade

...  What is the decimal 1 less than 5 thousandths (.005)?  4 thousandths (.004)  What is the decimal 1 less than 7 hundredths (.07)? ...
Undecidability of the unification and admissibility problems for
Undecidability of the unification and admissibility problems for

... 2003]) that the unification and admissibility problems are decidable for propositional intuitionistic logic and such standard modal logics as K4, GL, S4, S4.3. However, nearly nothing has been known about the decidability status of the unification and admissibility problems for other important modal ...
A polynomial time algorithm for Rayleigh ratio on
A polynomial time algorithm for Rayleigh ratio on

... algorithm alternative to the spectral method that delivers solutions to the problems that are often of better quality and with more efficient run times. The theoretical underpinnings for the spectral method were motivated by Perron-Frobenius theorem (1907, 1912). The spectral method has been used in r ...
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Lateral computing

Lateral computing is a lateral thinking approach to solving computing problems.Lateral thinking has been made popular by Edward de Bono. This thinking technique is applied to generate creative ideas and solve problems. Similarly, by applying lateral-computing techniques to a problem, it can become much easier to arrive at a computationally inexpensive, easy to implement, efficient, innovative or unconventional solution.The traditional or conventional approach to solving computing problems is to either build mathematical models or have an IF- THEN -ELSE structure. For example, a brute-force search is used in many chess engines, but this approach is computationally expensive and sometimes may arrive at poor solutions. It is for problems like this that lateral computing can be useful to form a better solution.A simple problem of truck backup can be used for illustrating lateral-computing. This is one of the difficult tasks for traditional computing techniques, and has been efficiently solved by the use of fuzzy logic (which is a lateral computing technique). Lateral-computing sometimes arrives at a novel solution for particular computing problem by using the model of how living beings, such as how humans, ants, and honeybees, solve a problem; how pure crystals are formed by annealing, or evolution of living beings or quantum mechanics etc.
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