PencilWise PENCILWISE - Equation Analysis Test Take this "test" as your personal challenge. This test does not measure your intelligence, your fluency with words, and certainly not your mathematical ability. It will, however, give you some gauge of your mental flexibility and creativity. Few people can solve more than half of the questions on the first try. Many people who took this test previously reported getting answers long after the test was over - particularly at unexpected moments when their minds were relaxed; and some reported solving all the questions over a period of several days. The origins of this test are somewhat unclear. Instructions: Each question below contains the initials of words that will make it correct. 26 = L. of the A. would be Letters of the alphabet. Type your answer in the answer column.
Command-line interface Command-line interfaces to computer operating systems are less widely used by casual computer users, who favor graphical user interfaces. Command-line interfaces are often preferred by more advanced computer users, as they often provide a more concise and powerful means to control a program or operating system. Programs with command-line interfaces are generally easier to automate via scripting. Operating system command-line interfaces Operating system (OS) command line interfaces are usually distinct programs supplied with the operating system. Application command-line interfaces Application programs (as opposed to operating systems) may also have command line interfaces. An application program may support none, any, or all of these three major types of command line interface mechanisms: Parameters: Most operating systems support a means to pass additional information to a program when it is launched. CLI software Hybrid software History Usage
Touch Mathematics 10 Easy Arithmetic Tricks Technology Math can be terrifying for many people. This list will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head. 1. We all know the trick when multiplying by ten – add 0 to the end of the number, but did you know there is an equally easy trick for multiplying a two digit number by 11? Take the original number and imagine a space between the two digits (in this example we will use 52: Now add the two numbers together and put them in the middle: That is it – you have the answer: 572. If the numbers in the middle add up to a 2 digit number, just insert the second number and add 1 to the first: 1089 – It works every time. 2. If you need to square a 2 digit number ending in 5, you can do so very easily with this trick. 252 = (2x(2+1)) & 25 2 x 3 = 6 3. Most people memorize the 5 times tables very easily, but when you get in to larger numbers it gets more complex – or does it? 2682 x 5 = (2682 / 2) & 5 or 0 Let’s try another: 4. 5.
Mathematical Symbol By Douglas Weaver Mathematics Coordinator, Taperoo High School with the assistance of Anthony D. Smith Computing Studies teacher, Taperoo High School. Introduction On the topic of mathematical symbols..... "Every meaningful mathematical statement can also be expressed in plain language. Lancelot Hogben The factorial symbol n! The symbols for similar and congruent The symbols for angle and right angle The symbol pi The symbol for percent The symbol for division The symbols for inequality The symbol for infinity The symbols for ratio and proportion The symbol for zero The radical symbol The symbols for plus and minus The symbol for multiplication The symbol for equality The symbol for congruence in number theory Complex numbers and the symbol i The number e The calculus symbols List of ancillary symbols without explanation APPENDIX --- Personalities select here to return to the HoM home page The symbol n! The symbol n! EVES, HOWARD "Great Moments in Mathematics - Before 1650", Mathematical Association of America 1983.
Einstein for Everyone Einstein for Everyone Nullarbor Press 2007revisions 2008, 2010, 2011, 2012, 2013 Copyright 2007, 2008, 2010, 2011, 2012, 2013 John D. Norton Published by Nullarbor Press, 500 Fifth Avenue, Pittsburgh, Pennsylvania 15260 with offices in Liberty Ave., Pittsburgh, Pennsylvania, 15222 All Rights Reserved John D. An advanced sequel is planned in this series:Einstein for Almost Everyone 2 4 6 8 9 7 5 3 1 ePrinted in the United States of America no trees were harmed web*bookTM This book is a continuing work in progress. January 1, 2015. Preface For over a decade I have taught an introductory, undergraduate class, "Einstein for Everyone," at the University of Pittsburgh to anyone interested enough to walk through door. With each new offering of the course, I had the chance to find out what content worked and which of my ever so clever pedagogical inventions were failures. At the same time, my lecture notes have evolved. This text owes a lot to many. i i i
Weierstrass functions Weierstrass functions are famous for being continuous everywhere, but differentiable "nowhere". Here is an example of one: It is not hard to show that this series converges for all x. Here's a graph of the function. You can see it's pretty bumpy. Below is an animation, zooming into the graph at x=1. Wikipedia and MathWorld both have informative entries on Weierstrass functions. back to Dr.
Contents, Interactive Mathematics Miscellany and Puzzles Since May 6, 1997You are visitor number E66B7E in base 20 Raymond Smullyan, a Mathematician, Philosopher and author of several outstanding books of logical puzzles, tells, in one of his books, a revealing story. A friend invited him for dinner. He told Smullyan that his teenage son was crazy about Smullyan's books and could not wait to meet him. Having told this story, would it be wise to announce up front what this site is about? |Contact||Front page||Index||Store| K-MODDL & Tutorials & Reuleaux Triangle If an enormously heavy object has to be moved from one spot to another, it may not be practical to move it on wheels. Instead the object is placed on a flat platform that in turn rests on cylindrical rollers (Figure 1). As the platform is pushed forward, the rollers left behind are picked up and put down in front. Is a circle the only curve with constant width? How to construct a Reuleaux triangle To construct a Reuleaux triangle begin with an equilateral triangle of side s, and then replace each side by a circular arc with the other two original sides as radii (Figure 4). The corners of a Reuleaux triangle are the sharpest possible on a curve with constant width. Other symmetrical curves with constant width result if you start with a regular pentagon (or any regular polygon with an odd number of sides) and follow similar procedures. Here is another really surprising method of constructing curves with constant width: Draw as many straight lines as you like, but all mutually intersecting.
untitled [P] failure functions - another example by akdevarajApr 14 Let our definition of a failure be a non - Devarajnumber which is not a Carmichael number ( see A104017 on OEIS ).Let the mother function be 2^n + 3113. Then n = 16 + 42*k is a failure function ). [P] Failure functions - role of by akdevarajApr 13 failure functions play an important role in proving a conjecture indirectly. [P] failure functions - another example by akdevarajApr 12 Here k belongs to N.When n= 10, f(n) = 1105, a Carmichael number; however when n is generated by the failure function 18 + 20*k we get values of f(n) which are not square free and hence incapable of being Carmichael numbers i.e. failures. [P] failure functions - another example by akdevarajApr 12 Let our definition Let our definition of a failure be a non-Carmichael number. [P] Fermat's theorem by akdevarajApr 6 [P] A puzzle by akdevarajApr 5 [P] cyrillics already visible by pahioApr 3 Who has helped? [P] Cyrillics not visible by pahioMar 27
The Fibonacci Numbers and Golden section in Nature - 1 This page has been split into TWO PARTS. This, the first, looks at the Fibonacci numbers and why they appear in various "family trees" and patterns of spirals of leaves and seeds. The second page then examines why the golden section is used by nature in some detail, including animations of growing plants. Let's look first at the Rabbit Puzzle that Fibonacci wrote about and then at two adaptations of it to make it more realistic. This introduces you to the Fibonacci Number series and the simple definition of the whole never-ending series. Fibonacci's Rabbits The original problem that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances. Suppose a newly-born pair of rabbits, one male, one female, are put in a field. How many pairs will there be in one year? At the end of the first month, they mate, but there is still one only 1 pair. The number of pairs of rabbits in the field at the start of each month is 1, 1, 2, 3, 5, 8, 13, 21, 34, ... .
Online | Skill Set: The Beginning (Mechanical) Engineer’s Checklist A while ago MAKE did a post on A Beginning Engineer’s Checklist from the PIClist site. And while I love these kind of lists, it left me – as a mechanical engineering – feeling a little left out, with all the talk of chips and Ohm’s Law and power busses (oh my!). It also reminded me of a list we had posted on a bulletin board at my first job, called Akin’s Laws of Spacecraft Design, which definitely apply to more than just spacecraft. So here’s my attempt at rearranging and adding to these lists to give them more of a mechanical flavor and include some of my own lessons learned over the last few years. 1. NEVER loan out your copies of:Machinery’s HandbookShigley’s Mechanical Engineering DesignMaking Things Move: DIY Mechanisms for Inventors, Hobbyists, and Artists (okay this one is a shameless plug, but Dug North told me it’s “destined to be be a classic of sorts” so you can blame him) 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. What would you add to this list? Related
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