Lecture 6: real numbers One extremely useful property of R that
... Rn for n ≥ 2 A very important extension of R is given by n-dimensional Euclidean space. Definition 0.4. For n ≥ 2, the set Rn is defined as Rn = {~a = (a1 , . . . , an ) : ai ∈ R for all i} . Addition of elements is defined as ~a + ~b = (a1 , . . . , an ) + (b1 , . . . , bn ) = (a1 + b1 , . . . , a ...
... Rn for n ≥ 2 A very important extension of R is given by n-dimensional Euclidean space. Definition 0.4. For n ≥ 2, the set Rn is defined as Rn = {~a = (a1 , . . . , an ) : ai ∈ R for all i} . Addition of elements is defined as ~a + ~b = (a1 , . . . , an ) + (b1 , . . . , bn ) = (a1 + b1 , . . . , a ...
Study Guide Module 3
... Always start at the origin and move to the right one and up two This is in the first quadrant! Ex: (-x, y) Quadrant II If you plot the point (-3, 2) Always start at the origin and move to the left three and up two This is in the second quadrant! Ex: (-x,-y) Quadrant III If you have to the plot the p ...
... Always start at the origin and move to the right one and up two This is in the first quadrant! Ex: (-x, y) Quadrant II If you plot the point (-3, 2) Always start at the origin and move to the left three and up two This is in the second quadrant! Ex: (-x,-y) Quadrant III If you have to the plot the p ...
Information Encoding
... Step 1) Write down two 3-digit numbers that you want to subtract Step 2) Form the 9’s-complement of each digit in the second number (the subtrahend) ...
... Step 1) Write down two 3-digit numbers that you want to subtract Step 2) Form the 9’s-complement of each digit in the second number (the subtrahend) ...
Simulating Experiments
... random number table, we know that we have the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Therefore if we count 0 as an even digit, then the digits can be assigned as follows: One digit simulates one toss of the coin Odd digits represent heads; even digits represent tails Successive digits in the tab ...
... random number table, we know that we have the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Therefore if we count 0 as an even digit, then the digits can be assigned as follows: One digit simulates one toss of the coin Odd digits represent heads; even digits represent tails Successive digits in the tab ...
Sequence and Series
... Writing out a series may be time-consuming and lengthy. For convenience, there is a more concise notation called sigma notation. The series 3+6+9+12+…+30 can be expressed as ...
... Writing out a series may be time-consuming and lengthy. For convenience, there is a more concise notation called sigma notation. The series 3+6+9+12+…+30 can be expressed as ...
