41. Polynomial Division Operator polynomial division Operator. Divides one Polynomial by another. Visual Basic returnValue = Polynomial.op_Division(p, q) http://www.extremeoptimization.com/Mathematics/Reference/Extreme.Mathematics.Cur

Home Extreme Optimization Statistics Library for .NET Reference Extreme.Mathematics.Curves Namespace ... Operators and Type Conversions Extreme Optimization Mathematics Library for .NET Polynomial Division Operator  Divides one Polynomial by another. [Visual Basic] returnValue = Polynomial.op_Division(p, q) [C#] public static  Polynomial  operator /( Polynomial p Polynomial q Parameters p The first polynomial. q The second polynomial. Return Value A polynomial that, when multiplied by q results in a polynomial that differs from p only in the coefficients of degree smaller than the degree of q See Also Polynomial Class Extreme.Mathematics.Curves Namespace Send comments on this topic.

42. Polynomial Division And Its Computational Complexity polynomial division and its computational complexity D. Bini , L. Gemignani, On the Euclidean scheme for polynomials having interlaced real zeros, http://portal.acm.org/citation.cfm?id=7761

43. Improved Parallel Polynomial Division Improved parallel polynomial division computational complexity, parallel algorithms, polynomial division, triangular Toeplitz matrices http://portal.acm.org/citation.cfm?id=152040

44. Pdiv: ----- Polynomial Division Elementwise euclidan division of the polynomial matrix P1 by the polynomial P2 or by the polynomial matrix P2. Rij is the matrix of remainders, http://scilabsoft.inria.fr/doc/manual/Docu-html775.html

2.7.24 pdiv: - polynomial division CALLING SEQUENCE [R,Q]=pdiv(P1,P2) [Q]=pdiv(P1,P2) PARAMETERS : polynomial matrix : polynomial or polynomial matrix R,Q : two polynomial matrices DESCRIPTION Element-wise euclidan division of the polynomial matrix by the polynomial or by the polynomial matrix Rij is the matrix of remainders, Qij is the matrix of quotients and P1ij = Qij*P2 + Qij or P1ij = Qij*P2ij + Qij EXAMPLE x=poly(0,'x'); p1=(1+x^2)*(1-x);p2=1-x; [r,q]=pdiv(p1,p2) p2*q-p1 p2=1+x; [r,q]=pdiv(p1,p2) p2*q+r-p1 SEE ALSO ldiv gcd

45. Polynomial Division - Information Technology Services aisha polynomial division. I have been trying two problems for the longest time, Discuss polynomial division Here, Free! Become A Member, Free! http://www.physicsforums.com/archive/t-53325_Polynomial_Division.html

Technology Services Science Education Zone Homework: Grade K-12 Polynomial Division aisha - Polynomial Division I have been trying two problems for the longest time, and no one is able to help me I am so stuck, I know how to divide polynomials using long division and synthetic division using simpler numbers but I just cant do these two questions and my course is online, so I can't even ask my teacher :cry: plz help me! The question is -6x^4+2x^2-8x+1 / 2x^2-3 using long division and synthetic division For long division I tried putting in place value zeroes but it still didnt work, and in the synthetic division I didnt even know what the divisor would be, lol Im in big trouble plz show me these two questions step by step thank you :smile: Discuss Polynomial Division Here, Free! hypermorphism - Polynomial Division In synthetic division, the first thing you'll want to do is to find the monomial multiplier for 2x^2 that will give -6x^4 (-3x^2). Next, check to see whether that multiplying the binomial 2x^2 - 3 by -3x^2 is enough to complete the division: It's not enough, so try to divide the remaining reduced degree polynomial:

46. Problem With Polynomial Division And I - Information Technology I was learning polynomial division, and I can do most problems, except this one which is Of what use is polynomial long division (other than to find the http://www.physicsforums.com/archive/t-31851_Problem_with_polynomial_division_an

Technology Services Mathematics General Math Problem with polynomial division and 'i' Slicktacker - Problem with polynomial division and 'i' I was learning polynomial division, and I can do most problems, except this one which is bothering me. (1+i)x - 2 How would I divide something like that? Nothing is working. Thanks. Discuss Problem with polynomial division and 'i' Here, Free! Muzza - Problem with polynomial division and 'i' Discuss Problem with polynomial division and 'i' Here, Free! HallsofIvy - Problem with polynomial division and 'i' Another way to handle fractions involving compex numbers is to "realize" the denominator. (I just made up that word!) Multiply both numerator and denominator by the complex conjugate of the denominator: the complex conjugate of (1+i)x - 2 is (1-i)x- 2 (negative i instead of positive i). Multiplying the denominator (and numerator) by that gives you a fraction in which the numerator is a real number. Discuss Problem with polynomial division and 'i' Here, Free! jcsd - Problem with polynomial division and 'i' You really want to mutiply through by the complex conjugate of 1+i tho' edited to add Halls of Ivy beat me to it, again!

47. SICOMP Volume 22 Issue 3 Improved Parallel polynomial division. Dario Bini, Victor Pan. Abstract. The authors compute the first $N$ coefficients of the reciprocal $r(x)$, http://locus.siam.org/SICOMP/volume-22/art_0222041.html

SIAM's Online Journal Archive SEEK EXPLORE LOCATE SICOMP volume 22 issue 3 advanced search Home Order ... Theory of Probability and Its Applications By using LOCUS you agree to abide by the Terms and Conditions of Use SICOMP, Volume 22 Issue 3 Improved Parallel Polynomial Division Dario Bini, Victor Pan Abstract. Keywords. AMS(MOS) Subject Classifications. View Full Text (pdf) View References

48. SICOMP Volume 18 Issue 5 polynomial division with remainder, and polynomial interpolation—are presented. These algorithms can be implemented using polynomial time constructible http://locus.siam.org/SICOMP/volume-18/art_0218066.html

SIAM's Online Journal Archive SEEK EXPLORE LOCATE SICOMP volume 18 issue 5 advanced search Home Order ... Theory of Probability and Its Applications By using LOCUS you agree to abide by the Terms and Conditions of Use SICOMP, Volume 18 Issue 5 Very Fast Parallel Polynomial Arithmetic Wayne Eberly Abstract. Keywords. polynomial arithmetic, iterated product of polynomials, interpolation, polynomial division, parallel algorithms, circuit depth AMS(MOS) Subject Classifications. View Full Text (pdf) View References

49. Nrich.maths.org::Mathematics Enrichment::NRICH Maclaurin series for tan(x), and polynomial division Now the purpose of division is to get a polynomial h(x) such that f(x)ºh(x)g(x)+r(x), http://nrich.maths.org/askedNRICH/edited/1890.html

Skip over navigation About Contact Mailing Lists ... maths finder past issues Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Welcome to NRICH. Maclaurin series for tan(x), and polynomial division By Anonymous on Friday, January 26, 2001 - 12:46 pm Hi there, I was fiddling with the Maclaurin Series, or the Power Series, which ever you like to call it. When I tried to derive the Maclaurin Series for f(x) = tan(x), it became a laborious and messy task very quickly indeed, unless you like some dirty integration! f(x) = tan(x) f'(x) = sec (x) f''(x) = 2sec(x)sec(x)tan(x) = 2sec (x)tan(x) .... and on and on Is there a better (easier) way to do this? Thanks for your help in advance. By Kerwin Hui (Kwkh2) on Friday, January 26, 2001 - 02:04 pm If you only want the MacLaurin series for tan(x), then there is indeed a easier method, if you are prepared to do some algebraic manipulation. First, note that tan(x)=sin(x)/cos(x) Now derive/use the MacLaurin series for sin(x) and cos(x), i.e., sin(x)=x-x /3!+x cos(x)=1-x /2!+x Upon dividing the two series, you get tan(x)=x-x Kerwin By Anonymous on Friday, January 26, 2001 - 02:07 pm

50. Www.calc101.com/webMathematica/long-divide.jsp EDM/2 A Look at OREXXpolynomial division of n/d. n=1*x^4 + 5*x^3 + 7*x^2 + 9*x + 3 d=1*x^2 + 2*x + 3 Figure 6 polynomial division, fully expressed. http://www.calc101.com/webMathematica/long-divide.jsp

51. File Verification Using CRC After dividing this generator polynomial int our message polynomial, polynomial division to create a CRC was originally done using hardware shift http://www.dogma.net/markn/articles/crcman/crcman.htm

File Verification Using CRC by Mark Nelson Dr. Dobb's Journal May, 1992 This page contains my original text and figures for the article that appeared in the May 1992 DDJ. I haven't broken it up into pages, so loading the entire thing might take some time. File Verification Using the CRC by Mark Nelson Recently I have found myself thinking a lot about file verification. By file verification, I mean the process of determining whether a file on my computer has been modified unexpectedly. Whether it happened through hardware failure, program error, or malicious tampering, I like to know when a file has had its contents altered. Likewise, I would like a convenient way to check the integrity of a file to verify that it hasn't been changed. The problem of file integrity has been on my mind because of several nearly simultaneous incidents. First of all, I recently ran dozens of relatively untested programs through my home systems while I was judging the Dr. Dobb's Data Compression Contest. At least two of these programs caused inadvertent damage to the file systems on my computer, one under UNIX and one under MS-DOS. In both cases, I was able to spot a lot of the damage, but after I restored the data that looked bad, I was left feeling unsure about the rest of my system. Had other files been damaged in more subtle ways? I suddenly felt as though I couldn't trust my system. An even more alarming incident occurred a couple of weeks later. A programmer who supplies us with a product for resale called us up and casually mentioned that his office had been infested with the notorious "Stoned" virus. Had we by any chance noticed anything funny in oursystems? We see funny things on our systems on an hourly basis, sosuddenly we were once again in the position of not trusting any of the files on our computers. (Fortunately this turned out to be a false alarm).

52. Science Forums And Debate - Polynomial Division. polynomial division is exactly as hard as dvision of integers if explained properly i think you made a typo and it ought to be LaTeX Error http://www.scienceforums.net/forums/showthread.php?t=13273&goto=nextnewest

53. Home Page that it can be carried out in about the same time as polynomial division. We should remember that polynomial division is also an iterative process, http://www.mcky.net/rat08.htm

Shrink the Government Mailing List Technical Home ... Next page Residue Division I have designed three residue division algorithms. Two are exact integer division algorithms, and one is an approximate algorithm. The first integer algorithm is fairly simple. One translates a residue dividend and a residue divisor into floating point, divides the floating point, and achieves a first approximation to the answer. Since the floating point system we are working with has a small mantissa, this floating point division can be done very rapidly. Then the floating point approximation is translated into residue, multiplied by the divisor, and the result subtracted from the dividend to compute an error term. This error term is translated into floating point and divided in floating point by the floating point divisor to produce a floating point correction factor. This procedure is continued until it converges, which it does fairly rapidly since we have a system that can translate small residue numbers more rapidly than large ones, and with every iteration of the process, the numbers to be translated get smaller. I know that this sounds complicated and it is an iterative process, but simulations that I have written indicate that it can be carried out in about the same time as polynomial division.

54. Hawkes Learning Systems 5.2*, polynomial division and the Division Algorithm (excluding complex numbers). 5.3*, Locating Real Zeros of Polynomials (excluding complex numbers) http://www.quantsystems.com/PC_COL.htm

Math courseware specialists Home Support Products all products courseware online grade book online testing Software and Textbooks Basic Mathematics Business Statistics College Algebra Introductory Algebra ... Statistics Textbooks Only Business Mathematics Essential Mathematics Vector Analysis Support support request downloads manuals Students get your access code faq getting started license agreement Instructors visit us at a conference examination copies faq school agreement About Our Company careers contact us company history Hawkes Learning Systems COLLEGE ALGEBRA ISBN:0-918091-59-4 Bundled with COLLEGE ALGEBRA, 1/E

55. The Cyclic Redundancy Check polynomial division isn t too bad either. There is an algorithm for performing So, the remainder of a polynomial division must be a polynomial of degree http://www.cs.jhu.edu/~scheideler/courses/600.344_S02/CRC.html

The Cyclic Redundancy Check Taken from lecture notes by Otfried Schwarzkopf, Williams College. A significant role of the Data Link layer is to convert the potentially unreliable physical link between two machines into an apparently very reliable link. This is done by including redundant information in each transmitted frame. Depending on the nature of the link and the data one can either: include just enough redundancy to make it possible to detect errors and then arrange for the retransmission of damaged frames, or include enough redundancy to enable the receiver to correct any errors produced during transmission. Most current networks take the former approach. One widely used parity bit based error detection scheme is the cyclic redundancy check or CRC. The CRC is based on some fairly impressive looking mathematics. It is helpful as you deal with its mathematical description that you recall that it is ultimately just a way to use parity bits. The presentation of the CRC is based on two simple but not quite "everyday" bits of mathematics: polynomial division arithmetic over the field of integers mod 2.

56. Polynomial Division - Ticalc.org , Divides polynomials. Author, Dave Gaebler (rfgaebler@sprynet.com). Category, TI83 BASIC Math Programs......Title, polynomial division. http://www.ticalc.org/archives/files/fileinfo/79/7937.html

Basics Archives Community Services ... File Archives Polynomial Division Polynomial Division FILE INFORMATION Ranked as 5088 on our all-time top downloads list with 3702 downloads. Ranked as 19955 on our top downloads list for the past seven days with 3 downloads. polydiv.zip Filename polydiv.zip Title Polynomial Division Description Divides polynomials Author Dave Gaebler rfgaebler@sprynet.com Category TI-83 BASIC Math Programs File Size 787 bytes File Date and Time Thu Feb 25 02:36:36 1999 Documentation Included? Yes SCREEN SHOTS RATING If you have downloaded and tried this program, please rate it on the scale below Bad Good REVIEWS There are no reviews for this file. Do you want to write one ARCHIVE CONTENTS Archive Contents Name Size Polydiv.txt POLYDIV.83G REPORT INAPPROPRIATE FILES We at ticalc.org try to keep our archives free of inappropriate material, but we're not perfect. We rely on our community of users to help catch inappropriate material that may occasionally slip through our screening. Please see our Site Policies for a description of what is not allowed in our archives.

57. Polynomial Division - Ticalc.org , Divides a polynomial by another using coeffiecents. Author, George Turner (geoturner@codnet.net)......Title, polynomial division. http://www.ticalc.org/archives/files/fileinfo/170/17002.html

Basics Archives Community Services ... File Archives Polynomial Division Polynomial Division FILE INFORMATION Ranked as 17698 on our all-time top downloads list with 1493 downloads. Ranked as 19955 on our top downloads list for the past seven days with 3 downloads. polydivi.zip Filename polydivi.zip Title Polynomial Division Description Divides a polynomial by another using coeffiecents Author George Turner geoturner@codnet.net Category TI-86 BASIC Math Programs File Size 1,426 bytes File Date and Time Wed Feb 7 04:19:31 2001 Documentation Included? Yes SCREEN SHOTS RATING If you have downloaded and tried this program, please rate it on the scale below Bad Good REVIEWS There are no reviews for this file. Do you want to write one ARCHIVE CONTENTS Archive Contents Name Size Polydivi.txt polydivi.86p REPORT INAPPROPRIATE FILES We at ticalc.org try to keep our archives free of inappropriate material, but we're not perfect. We rely on our community of users to help catch inappropriate material that may occasionally slip through our screening. Please see our Site Policies for a description of what is not allowed in our archives.

58. On The Generation Of The Pseudo-remainder In Polynomial Division -- Varol 20 (2) On the generation of the pseudoremainder in polynomial division. YL Varol *. University of the Witwatersrand, Johannesburg, South Africa http://comjnl.oxfordjournals.org/cgi/content/abstract/20/2/178

@import "/resource/css/hw.css"; @import "/resource/css/computer_journal.css"; Skip Navigation Oxford Journals Contact Us My Basket ... Volume 20, Number 2 Pp. 178-180 The Computer Journal 1977 20(2):178-180; doi:10.1093/comjnl/20.2.178 British Computer Society This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in ISI Web of Science Alert me to new issues of the journal ... Request Permissions On the generation of the pseudo-remainder in polynomial division Y. L. Varol University of the Witwatersrand, Johannesburg, South Africa All the known methods for finding the GCD-greatest common divisor algorithm, which uses repeated division of the successive divisors by the remainders. Two new algorithms for generating the remainder resulting from the pseudo-division of polynomials over a commutative ring are suggested. They are compared with respect to memory and CPU requirements. It is found that the new algorithms are

59. The Computer Journal -- Sign In Page http://comjnl.oxfordjournals.org/cgi/reprint/20/2/178

@import "/resource/css/hw.css"; @import "/resource/css/computer_journal.css"; Skip Navigation Oxford Journals Contact Us My Basket ... Volume 20, Number 2 Pp. 178-180 This item requires a subscription* to The Computer Journal Online. * Please note that articles prior to 1996 are not normally available via a current subscription. In order to view content before this time, access to the Oxford Journals digital archive is required. Alternatively, you may purchase short-term access on a Pay per Article basis. Please see below for more details. PDF On the generation of the pseudo-remainder in polynomial division Varol The Computer Journal. This Article Abstract Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in ISI Web of Science Alert me to new issues of the journal ... Request Permissions To view this item, select one of the options below: Sign In User Name Sign in without cookies. Can't get past this page? Help with Cookies. Need to Activate? Password Forgot your user name or password?

60. Internet College Algebra Syllabus - Summer 2004 - Turner polynomial division. Divide polynomials using long division. Synthetic division. Use the Remainder Theorem to evaluate a polynomial http://fym.la.asu.edu/~tturner/MAT_117_online/Syllabus/MAT117LessonPLans.htm

MAT-117 College Algebra Study Outline Course Objectives (as set by the ASU Department of Mathematics and Statistics in Fall 2003) We expect the student to know the vocabulary related to the mathematical processes taught in this course. We expect the student to be able to show competence in the following topics of College Algebra. Study these before doing any assignments related to them. WeBWorK Assignment Stewart Section Related On-line Lessons Cartesian Plane Plot points in the Cartesian plane Find distance between two points in the Cartesian Plane Distance Formula Use the Distance formula to solve geometric and real life application problems Find the Midpoint of the segment joining two points in the Cartesian Plane Use the Midpoint formula to solve application problems Graphs of equations Determine whether a point lies on the graph of an equation Sketch graphs using a table of values and a graphing utility Find the x and y- intercepts of the graph of an equation (algebraically and graphically) Determine the symmetry of the graph of an equation (algebraically and graphically) Write the General Form Equation of a circle in Standard Form and determine the center and radius of the circle Chapter 2 Principles pp 119 - 127 Cartesian Plane Graphs of Equations Equations of the Line and Linear Inequalities Understand solutions and solutions sets of linear equations.

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