PPT-Machine arithmetic and associated

errors Numerical math Math cont Loss of significance In Previous Lectures Absolute and relative errors You considered and ran the code numderivativecc observed two types of errors . But actual computation with real numbers is not very practical because it involves limits and in64257 n i t i e s Instead M A T L A B and most other technical computing environments use o a t i n g p o i n t arithmetic which involves a 64257nite s But actual computation with real numbers is not very practical because it involves limits and in n i t i e s Instead M A T L A B and most other technical computing environments use o a t i n g p o i n t arithmetic which involves a 64257nite set of CS1313 Fall 2015. 1. Arithmetic Expressions Lesson #1 Outline. Arithmetic Expressions Lesson #1 Outline. A Less Simple C Program #1. A Less Simple C Program #2. A Less Simple C Program #3. A Less Simple C Program #4. An introduction…………. Arithmetic Sequences. ADD. To get next term. Geometric Sequences. MULTIPLY. To get next term. Arithmetic Series. Sum of Terms. Geometric Series. Sum of Terms. Find the next four terms of –9, -2, 5, …. Chih. -Hung Wang. Chapter 1: Background (Part-1). 參考書目. Leland . L. . Beck. , System Software. : An . Introduction to Systems . Programming (3rd), Addison-Wesley, 1997.. 1. Outline of Chapter 1. CS1313 Spring 2016. 1. Arithmetic Expressions Lesson #2 Outline. Arithmetic Expressions Lesson #2 Outline. Named Constant & Variable Operands #1. Named Constant & Variable Operands #2. Named Constant & Variable Operands #2. Section 8.2 beginning on page 417. Identifying Arithmetic Sequences. In an . arithmetic sequence. , the difference of consecutive terms is constant. This constant difference Is called . common difference. a. 1 . = 5, d = 12, n = 28. a. 28. = 329. 1. Find the indicated term of the arithmetic sequence.. a. 1 . = 5, d = 12, n = 28. 2. Find the 23. rd. term of the following sequence.. 6, 18, 30, 42, …. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class,  the student may:. · Make connection with other concepts in math. · Make connection with other content areas.. Arithmetic Sequences. An arithmetic sequence is a sequence in which each term after the first differs from the preceding term by a constant amount.. The difference between consecutive terms is called the . Ben Braun, Joe Rogers. The University of Texas at Austin. November 28, 2012. Why primitive recursive arithmetic?. Primitive recursive arithmetic is consistent.. Many functions over natural numbers are primitive recursive:. 2, 4, 6, 8, . …. The . first term in a sequence is denoted as . a. 1. , . the second term is . a. 2. , . and so on up to the nth term . a. n. .. Each number in the list called a . term. .. a. 1. , a. Lesson 3.13 Applications of Arithmetic Sequences Concept: Arithmetic Sequences EQ: How do we use arithmetic sequences to solve real world problems? F.LE.2 Vocabulary: Arithmetic sequence, Common difference & Series. Story Time…. When another famous mathematician was in first grade, his teacher asked the class to add up the numbers one through a hundred (1+2+3 etc., all the way up to 100). . Write out the teacher’s request in summation notation, then find the answer (no calculators!) Try to figure out an efficient way!.