Nounintegers
From Wiktionary under the GNU Free Documentation License. The integers (from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French) are natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. For example, 65, 7, and −756 are integers; 1.6 and 1½ are not integers. In other terms, integers are the numbers one can count with items such as apples or fingers, and their negatives, as well as 0. More formally, the integers are the only integral domain whose positive elements are well-ordered, and in which order is preserved by addition. Like the natural numbers, the integers form a countably infinite set. The set of all integers is often denoted by a boldface Z (or blackboard bold , Unicode U+2124 ℤ), which stands for Zahlen (German for numbers, pronounced [ˈtsaːlən]). Integers can be thought of as points on an infinitely long number line.In algebraic number theory, these commonly understood integers, embedded in the field of rational numbers, are referred to as rational integers to distinguish them from the more broadly defined algebraic integers. From Wikipedia under the
GNU Free Documentation License Is it symptotically faster to square an n-bit integer than to multiply two n-bit integers? Q. Professor F. Lake tells his class that it is asymptotically faster to square an n-bit integer than to multiply two n-bit integers. Should they believe him? Asked by jke - Wed Dec 17 13:18:49 2008 - - 1 Answers - 0 Comments A. I should think so. When squaring two numbers the partial product matrix is able to be reduced by symmetry making it faster than multiplying two different numbers Answered by Orbit R - Wed Dec 17 13:36:01 2008 What is the equation to find the two integers? Q. I'm confused about how to do this problem: The product of two consecutive odd integers decreased by three times the larger is 104. If x represents the smaller integer, which equation could be used to find the two integers? I used to be good at these, but I just haven't done them in quite a while... none of the answers so far are what i'm looking for. here are the choices: a) x^2-x-110=0 b) x^2+5x-104=0 c) x^2-x-104=0 d) x^2-x-98=0 Asked by jamie68117 - Tue May 29 00:56:11 2007 - - 4 Answers - 0 Comments A. OK, x is the first integer; and x+2 is the second. The problem is translated into: x*(x+ 2)-3(x+2) = 104 this will give a quadratic which you can solve for; one answer is probably even and the other odd. --- OK, I solved it just for grins; x can be either 10 or 11, so the answer you're looking for is 11 and 13 (10 and 12 would work, but they're even, not odd). Answered by Mark S, JPAA - Tue May 29 01:01:55 2007 How can I write this problem out as an equation that I can use to find the consecutive integers?
Q. 3 times an integer is 41 less than 5 times the next consecutive integer. Find the two integers. 3x=5x-41 is what I had but I can't understand how to go from that point on to find the consecutive integers. I know the two integers are 18 & 19 so I'm really confused. Asked by jennefur_hp - Thu Mar 26 18:38:03 2009 - - 3 Answers - 0 Comments A. Let x = the first integer Let x+1 = the second integer 3x = 5(x +1) -41 3x = 5x +5 - 41 3x = 5x - 36 -2x = -36 x = 18 x+1 = 19 CHECK 3(18) = 5(18+1) -41 54 = 90 +5 -41 54 = 95 - 41 54 = 54 Answered by mathwhiz - Thu Mar 26 19:05:17 2009 From Yahoo Answer Search: "integers"  news.google.com Daily Kos It helps to think of the multiplication table when thinking about factors, because multiplication tables use integers , and factors, generally speaking, ... news.google.com The Moderate Voice ... or maybe they have just been educated beyond their intelligences and can no longer add simple integers of deuce plus deuce equals, you know, four. ... and more » news.google.com AZ Central.com They review math concepts such as integers and, in language arts, the basic structure of a story. They also have daily team activities to build friendships. ... and more » From Google News Search: "integers"  ww2.datazap.net 883px x 1234px | 144.20kB [source page] Apr 16 16 20 L 2003 Algebra L Card 2 Dividing Integers Mimi JPG r 1 177060 Apr 16 16 20 L 2003 Algebra L Card 3 Adding Integers Mimi jpg r 1 147712 Apr 16 16 20 L 2003 Algebra L Card 4 Subtracting Integers Mimi jpg r 1 56806 Apr 16 16 20 L 2003 Algebra Practice L Card 1 Addition JPG r 1 56396 Apr 16 16 20 L 2003 Algebra  education.smarttech.com 550px x 665px | 29.10kB [source page] View larger image Students practice multiplying integers concretely pictorially and From Yahoo Image Search: "integers"  java-forums.org dj kourampies Wed, 19 Aug 2009 18:36:30 GM I want to write . integers. (pe a telephone number or ID) into a file. But the method write() of FileWriter seems to support only char, not int. What am.  mathlinks.ro Yuriy Solovyov | www.mathlinks.ro hu, 27 Aug 2009 14:18:07 GM are . integers. and a + b\phi = c + d\phi then a = c,b = d . Proof. It immediately follows from the fact that \phi is irrational. Lemma 2. \phi^n = F_n\phi + F_{n - 1} , where F_i is the i -th Fibonacci number. ...  snell-pym.org.uk alaric ue, 18 Aug 2009 12:08:01 GM which illustrates that methods don't have to be selected just on the classes of their arguments, but also potentially on values, or indeed arbitrary conditions (one might define a method only on prime . integers. ). ... From Google Blog Search: "integers" |
