Full text
... A natural question arises: What is the "length" of this algorithm? I. e. , if s and t are given, how many divisions are required to compute (s,t) ...
... A natural question arises: What is the "length" of this algorithm? I. e. , if s and t are given, how many divisions are required to compute (s,t) ...
Defining Sequences by Various Means
... new members of√the sequence in terms of those at hand. In the case above what is needed is the first term a1 = 2 and the recognition that each term an+1 can be obtained √ from the previous term an by adding 2 and then taking the square root of the sum: an+1 = 2 + an . That this method is a legitimat ...
... new members of√the sequence in terms of those at hand. In the case above what is needed is the first term a1 = 2 and the recognition that each term an+1 can be obtained √ from the previous term an by adding 2 and then taking the square root of the sum: an+1 = 2 + an . That this method is a legitimat ...
Half-term Test 1
... Steven makes a different sequence starting at 240. His rule is: “subtract 20 each time” Write in the next two numbers in his sequence. ...
... Steven makes a different sequence starting at 240. His rule is: “subtract 20 each time” Write in the next two numbers in his sequence. ...
Class slides.
... • ~ sum over vertices of G+(A) of (# of larger neighbors). • Time: • Measured by number of multiplicative flops (* and /) ...
... • ~ sum over vertices of G+(A) of (# of larger neighbors). • Time: • Measured by number of multiplicative flops (* and /) ...
Fractions and Decimals
... To order rational numbers: 1. graph them on a number line, or 2. put them all into fraction or decimal form. If you put the numbers into fraction form, rewrite the fractions so that they have the same denominator (size of the parts). Then, you can compare the numerators (number of parts). If you put ...
... To order rational numbers: 1. graph them on a number line, or 2. put them all into fraction or decimal form. If you put the numbers into fraction form, rewrite the fractions so that they have the same denominator (size of the parts). Then, you can compare the numerators (number of parts). If you put ...
review for Exam #1: 6.1-8.2
... (case 1,2,3,4, or 5?) a)An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings. i)In how many different ways can a dish of three scoops of ice cream be made where each flavor can be used more than once and the order of the scoops does not matter? ii)How many differ ...
... (case 1,2,3,4, or 5?) a)An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings. i)In how many different ways can a dish of three scoops of ice cream be made where each flavor can be used more than once and the order of the scoops does not matter? ii)How many differ ...
Exponents, Square Roots, Order of Operations
... Exponential notation is an easier way to write a number as a product of many factors. ...
... Exponential notation is an easier way to write a number as a product of many factors. ...
Lecture 2 - ODU Computer Science
... •+2 added to –2 in sign magnitude using regular binary addition does not equal 0 (make sure of that!) Invert bits 0 becomes 1 ...
... •+2 added to –2 in sign magnitude using regular binary addition does not equal 0 (make sure of that!) Invert bits 0 becomes 1 ...
5.NF.B.5a
... multiplying the side lengths. Multiplies fractional side lengths to find areas of rectangles, and represents fraction products as ...
... multiplying the side lengths. Multiplies fractional side lengths to find areas of rectangles, and represents fraction products as ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.