Lemma: If n is a positive integer‚ [pic] proof: [pic] [pic] [pic] = an − bn. Theorem: If 2n + 1 is an odd prime‚ then n is a power of 2. proof: If n is a positive integer but not a power of 2‚ then n = rs where [pic]‚ [pic]and s is odd. By the preceding lemma‚ for positive integer m‚ [pic] where [pic]means "evenly divides". Substituting a = 2r‚ b = − 1‚ and m = s and using that s is odd‚ [pic] and thus [pic] Because 1
Premium Integer Mathematics Natural number
The NETSTAT utility The NETSTAT utility is a command available on most platforms that enables a user to list the sockets in use on a system. The information returned by the command is only for the local host‚ and there is no provision for monitoring remote hosts using this utility. The most common uses for NETSTAT are: _ Determining how many sockets are currently open on a system _ Determining what application owns a particular socket _ Diagnosing TCP/IP problems _ Diagnosing routing problems The
Premium Computer program Internet Computer network
surf2 design by inch... Don’t limit yourself to modular sizes listed in a catalog - surf2 tables are available in 1 inch increments from 24 inches to 96 inches and surface depths starting at 18 inches. Tops can be shaped however you need them- including (but not limited to) designing around computer equipment or with cockpits to improve the user reach envelope. A 1 PICK FRAME - specify 2‚ 3 or 4 leg model straight‚ 90°‚ or 120° corner configuration 3-leg 90° corner D B 2 B SPECIFY DIMENSIONS
Premium Debut albums Board game Paint
SIMULATIONS AND RESULTS 5.1 Simulations For simulations‚ we have used ns-3 simulator which is a discrete event network simulator. We have used ns-3 for evaluation of our algorithm for random sensor node deployment scenarios to find the sinks locations for a particular sensor nodes deployment. We have considered a 4x4 square grid wireless sensor network‚ where sinks and sensor nodes both are static. Locations of the sinks are deterministically placed. Locations of our sinks are taken from our deterministic
Premium Sensor Wireless sensor network Sensor node
1. Introduction Voice morphing means the transition of one speech signal into another. Like image morphing‚ speech morphing aims to preserve the shared characteristics of the starting and final signals‚ while generating a smooth transition between them. Speech morphing is analogous to image morphing. In image morphing the in-between images all show one face smoothly changing its shape and texture until it turns into the target face. It is this feature that a speech morph should
Premium Language Linguistics Phonology
2005 Hyundai Tiburon For my sixteenth birthday all I ever wanted was my very own car. A car I could take to school‚ Pick my friends up in‚ and have the freedom that I have always wanted. For me to do this would mean I have to convince my parents to purchase one for me. Convincing my parents‚ means I would have to clean‚ get good grades‚ and give them plenty of reasons of why I deserved my own vehicle. I knew it was going to be difficult. Before I ever mentioned anything to my parents‚ I cleaned
Premium Automobile English-language films Truck
The first single chip CPU was the Intel 4004 invented in Nov 1971‚ a 4-bit processor meant for a calculator. It processed data in 4 bits‚ but its instructions were 8 bits long. Program and data were separate. In 1972‚ Texax Instruments followed the Intel 4004/4040 closely with the 4-bit TMS 1000‚ which was the first microprocessor to include enough RAM‚ and space for a program ROM‚ to allow it to operate without multiple external support chips. It also featured an innovative feature to add custom
Premium Integrated circuit Microprocessor Computer
Network Topology This paper will discuss the three types of network topologies discussed in Chapter 3. They are‚ hierarchical star‚ bus‚ and ring network topologies. Each has its advantages and disadvantages as will be discussed The hierarchical star is the most common one used in modern networks. It allows many pieces of equipment to be connected to the network via a hub or more commonly a switch. It allows for one continuous connection from the telecom room to the user end equipment. If the
Free Network topology
Introduction to SAD LIS 163 Sir Igor Introduction ● ● Companies use information as a weapon in the battle to increase productivity‚ deliver quality products and services‚ maintain customer loyalty‚ and make sound decisions. Information technology can mean the difference between success and failure The Impact of Information Technology Information Technology – ● – Combination of hardware and software products and services that companies use to manage‚ access‚ communicate
Premium Management Information Information systems
To: N Talty-Nangle From: Zaid Khan Date: 16/11/12 Terms of Reference In this essay I will be explaining and evaluating the method chosen and used by Pinewood Hotel in order to gain a better insight onto how aspects of their website are rated‚ and how it compares to their competitors. In addition to this‚ I will evaluate the findings that were gained from the research method used by the researchers at Pinewood Hotel. Procedure The information used in this report was gained from several different
Premium Data collection Research Sampling