Math 239 : Discrete Mathematics for the Life Sciences Spring 2008 Lecture 3 — January 31

نویسندگان

  • Maria Cueto
  • Sudeep Juvekar
چکیده

As we remarked during last lecture, some columns of matrix A are equal, for example p0010 = p0100 = p1001, or equivalently, p0010−p0010 = 0, p0010−p1001 = 0. However, this type of relation is not the only one that holds. In the following, we describe a minimal set of relations that characterize the columns of A. We will describe three type of relations: linear ones and two different types of relations of higher order.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

CS 70 Discrete Mathematics for CS Spring 2007 Luca

Recall from your high school math that a polynomial in a single variable is of the form p(x) = adx + ad−1x + . . .+ a0. Here the variable x and the coefficients ai are usually real numbers. For example, p(x) = 5x3 +2x+1, is a polynomial of degree d = 3. Its coefficients are a3 = 5, a2 = 0, a1 = 2, and a0 = 1. Polynomials have some remarkably simple, elegant and powerful properties, which we wil...

متن کامل

P169: The Effect of Math Instructional Interventions on Math Anxiety and Attitude towards Mathematics

In recent years, mathematics is an essential aspect of all areas of daily life and the best predictor of being successful in economic situations of society. For many students, the mathematics accompanied with frustration, anxiety and negative attitudes towards mathematics. These students believe their anxiety have been derived from their math teachers, math misconception and weakness in math as...

متن کامل

Topics in Logic and Foundations: Spring 2004

This is a set of lecture notes from a 15-week graduate course at the Penn-sylvania State University taught as Math 574 by Stephen G. Simpson in Spring 2004. The course was intended for students already familiar with the basics of mathematical logic. The course covered some topics which are important in contemporary mathematical logic and foundations but usually omitted from introductory courses...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008