[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 < 2r + 1 < 2n + 1‚ it follows that 2n + 1 is not prime. Therefore‚ by contraposition n must
Premium Integer Mathematics Natural number
HOSTS SETUP 1: Turn off all internet access. 2: You need to find your existing hosts file so navigate to here (hidden files and folders need to be shown); Windows 7/Vista/XP Windows 2K = = C:\WINDOWS\SYSTEM32\DRIVERS\ETC C:\WINNT\SYSTEM32\DRIVERS\ETC 3: In the ETC folder is a file called hosts‚ open this file with notepad (double click then open with notepad)‚ in notepad the file will look like this; 4: If you have any information after the; # ::1 localhost Then copy all of
Premium Web server Internet IP address
Unit Six Written Assignment Tenice Jones MT435 Operations Management Kaplan University June 25‚ 2013 Introduction A family business that started in 1976‚ Albatross Anchors has grown causing some issues with administration and production over the past few years. At this current time‚ technology is outdated‚ not in compliance with US Safety and Environmental standards and extremely unorganized. There is a lack of space due to growth; consequently‚ it is now hindering the functionality
Premium Employment Personal protective equipment Manufacturing
lab questions Unit two: Lab Questions 1. What does self - enhancing bias mean? That you tend to think you are “above average” or better than others in many ways. 2. Report your results from this experiment. About 75% of the time I was concerned as much as others where on most issues. 3. Did your results follow a pattern? Explain your answer. My results followed the pattern of about 30% who took the quiz who thought they were concerned as much as others. 4. If results did follow a pattern
Premium Social anxiety Anxiety Standard deviation
Unit six: Principles of budgets in a business environment Assessment You should use this file to complete your Assessment. The first thing you need to do is save a copy of this document‚ either onto your computer or a USB drive Then work through your Assessment‚ remembering to save your work regularly When you’ve finished‚ print out a copy to keep for reference Then‚ go to www.vision2learn.com and send your completed Assessment to your tutor via your My Study area – make sure it is clearly marked
Premium Budget Budgets
1. Why are spindle fibers important for mitosis? (5 points) Spindle fibers work as a path for chromosomes to travel(Campbell‚ 2009). 2. State the four bases that make up DNA. (4 points) a. (A)-Adenine b. (G)-Guanine c. (T)-Thymine d. (C)-Cytosine (Campbell‚ 2009). 3. What are the two base pairs? (2 points) a. AG b. CT 4. Answer the following questions: a. Define the term crossing over. (3 points) The phase in meiosis where chromosomes exchange segments of genetic materials (Campbell‚ 2009). b. Explain
Premium Chromosome Mitosis Cell
Objective: The objective of the lab is to separate the caffeine samples we are using‚ using thin layer chromatography. The solvent we are using for the separation is 3:1 mixture of Chloroform and Acetone. Principle: Thin layer chromatography (TLC) is an important technique that is useful for separating organic compounds. TLC is often used to monitor the progress of organic reactions and to check the purity of products. Separations in Thin layer chromatography involve distributing a mixture of
Premium Thin layer chromatography Chromatography Analytical chemistry
Unit 6: Scenario Analysis Kraig Henry Sr. Kaplan University CJ340 Prof. Selves Lon L. Fuller‚ former Carter Professor of Jurisprudence at Harvard Law School‚ observed in The Morality of Law‚ “Even if a man is answerable only to his conscience‚ he will answer more responsibly if he is compelled to articulate principles on which he acts.” Source: Fuller‚ L. (1975). The morality of law. (p. 159). New Haven‚ CT: Yale University Press. Scenario 1: Drugs at a Friend’s House
Premium Police Constable
Unit 6 questions Chapter 16: 1) Along with railroads‚ the Republicans’ protective tariffs helped build other U.S. industries‚ including textile and steel manufacturing in the Northeast and Midwest and (through a tariff on imported wool) sheep ranching in the West. Tariffs also funded government itself. Tariffs provided the largest share of revenue for the treasury‚ and helped fund the projects. 2) Farmers on the Great Plains faced the challenge of a hostile environment. In the grasslands‚ a cloud
Premium Labour movement
Student provides Label or Box/Bag Qty 1 1 1 1 1 LabPaq provides Auxiliary Supplies BagCK1 © Hands On Labs‚ Inc. 1 1 1 1 1 1 1 1 1 1 1 LabPaq CK-1 Item Description Table salt Piece of string Isopropyl (rubbing) alcohol Tap water Paper‚ 5 cm x 5 cm for weighing chemicals Beaker‚ 100 mL‚ glass Cylinder‚ 25 mL 25-mL volumetric flask Pipet‚ Serological-2mL Bulb‚ Rubber Goggles-Safety Scale-Digital-500g Test Tube (1)‚ 13 x 100 mm Bolt‚ Metal – Small Magnet
Premium Density Volume Kilogram