![Numeracy Booklet[1]](http://s1.studyres.com/store/data/009100254_1-28578b22fe9c39b073aa75d859b910cd-300x300.png)
H2
... 1. For each of the following a’s and b’s, use the Euclidean algorithm to compute d = gcd(a, b), and use the extended algorithm to find numbers u and v such that d = au+bv. (a) a = 1001, b = 9471. (b) a = 99958, b = 315905. (c) a = 117, b = 325. 2. Recall from class that gcd(a, b) = 1 if and only if ...
... 1. For each of the following a’s and b’s, use the Euclidean algorithm to compute d = gcd(a, b), and use the extended algorithm to find numbers u and v such that d = au+bv. (a) a = 1001, b = 9471. (b) a = 99958, b = 315905. (c) a = 117, b = 325. 2. Recall from class that gcd(a, b) = 1 if and only if ...
Determinants
... To illustrate the method of second-order determinants, we will assume two loop equations as follows: 10I1 + 5I2 = 15 2I1 + 4I2 = 8 We want to find the value of I1 and I2. To do so, we form a determinant with the coefficients of the unknown currents. A coefficient is the number associated with an unk ...
... To illustrate the method of second-order determinants, we will assume two loop equations as follows: 10I1 + 5I2 = 15 2I1 + 4I2 = 8 We want to find the value of I1 and I2. To do so, we form a determinant with the coefficients of the unknown currents. A coefficient is the number associated with an unk ...
Condition numbers; floating point
... quite large – even though the absolute error remains small. This effect of a large relative error due to a small result in a subtraction is called cancellation. In this case, if the relative error is one or larger, then we don’t even necessarily have the right sign! That’s not a good thing for our t ...
... quite large – even though the absolute error remains small. This effect of a large relative error due to a small result in a subtraction is called cancellation. In this case, if the relative error is one or larger, then we don’t even necessarily have the right sign! That’s not a good thing for our t ...
Complete this fractions activity sheet
... 1. An old drawing shows that you have to cut 3 tabs of 5/16in, 9/16 in and 11/16in. What is the total length of tab to be cut (in inches)? 2. A drawing from overseas requires you to cut 4¾in from a piece of pipe which is 6½in long. How long will the pipe be after cutting off this piece? 3. Divide 7½ ...
... 1. An old drawing shows that you have to cut 3 tabs of 5/16in, 9/16 in and 11/16in. What is the total length of tab to be cut (in inches)? 2. A drawing from overseas requires you to cut 4¾in from a piece of pipe which is 6½in long. How long will the pipe be after cutting off this piece? 3. Divide 7½ ...
Scientific Notation
... A number is expressed in scientific notation when it is written as the product of a factor and a power of 10. The factor must be greater than or equal to 1 and less than 10. ...
... A number is expressed in scientific notation when it is written as the product of a factor and a power of 10. The factor must be greater than or equal to 1 and less than 10. ...
Notes on logic, sets and complex numbers
... III. C OMPLEX NUMBERS We all know that one can not take the square root of a negative number because there is no real number whose square is negative. But if we define i to be a new kind of numbers (of course not a real number) such that i2 = −1, then we might be able to find the square ...
... III. C OMPLEX NUMBERS We all know that one can not take the square root of a negative number because there is no real number whose square is negative. But if we define i to be a new kind of numbers (of course not a real number) such that i2 = −1, then we might be able to find the square ...