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... West Los Angeles College Coastline Community College El Camino College ...

... West Los Angeles College Coastline Community College El Camino College ...

Precalculus, An Honours Course

... After sets on the line, I concentrate on distance on the line. Absolute values are a good place (in my opinion) to introduce sign diagrams, which are a technique that will be exploited in other instances, as for example, in solving rational and absolutevalue inequalities. The above programme is then ...

... After sets on the line, I concentrate on distance on the line. Absolute values are a good place (in my opinion) to introduce sign diagrams, which are a technique that will be exploited in other instances, as for example, in solving rational and absolutevalue inequalities. The above programme is then ...

Sample

... If d = 0, then both sides of the equation are clearly equal to 0. Suppose d > 0 and let e = gcd(a, b). Then the right side of the equation equals de. We must show that gcd(ad, bd) = de. Since e | a, then a = qe for some integer q. This tells us that ad = qde and so de | ad by definition. Similarly, ...

... If d = 0, then both sides of the equation are clearly equal to 0. Suppose d > 0 and let e = gcd(a, b). Then the right side of the equation equals de. We must show that gcd(ad, bd) = de. Since e | a, then a = qe for some integer q. This tells us that ad = qde and so de | ad by definition. Similarly, ...

My Math GPS: Elementary Algebra Guided Problem Solving

... unknown block. Here are a few observations you likely made about balances. These are very similar to the rules you may recall learning from working with equations. 1) The balance will only be level if both sides weigh exactly the same. 2) If you add weight to one side, then to keep it level you must ...

... unknown block. Here are a few observations you likely made about balances. These are very similar to the rules you may recall learning from working with equations. 1) The balance will only be level if both sides weigh exactly the same. 2) If you add weight to one side, then to keep it level you must ...

Counting Principles and Generating Functions

... Problem 1.4. In a version of the computer language BASIC, the name of a variable is a string of one or two alpha numeric characters, where upper case and lower case letters are not distinguished. (An alpha numeric character is either one of the 26 English letters or one of the 10 digits). Moreover, ...

... Problem 1.4. In a version of the computer language BASIC, the name of a variable is a string of one or two alpha numeric characters, where upper case and lower case letters are not distinguished. (An alpha numeric character is either one of the 26 English letters or one of the 10 digits). Moreover, ...

In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.