PPT-Arithmetic in

Metamath Case Study Bertrands Postulate Mario CARNEIRO 24 July 2015 What is Metamath A computer language for representing mathematical proofs The Metamath spec is two pages one verifier exists . This number representation uses 4 bits to store each digit from 0 to 9 For example 1999 10 0001 1001 1001 1001 in BCD BCD wastes storage space since 4 bits are used to store 10 combinations rather than the maximum possible 16 BCD is often used in b 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. Garbling Circuits. Based on joint works with. Yuval . Ishai. . Eyal. . Kushilevitz. Brent Waters. University of Texas. Technion. Technion. . Benny . Applebaum. Tel Aviv University. Garbled Circuit. Sparse and Explicit . Word Representations. Omer Levy . Yoav. Goldberg. Bar-. Ilan. University. Israel. Papers in ACL 2014*. * Sampling error: +/- 100%. Neural Embeddings.  . Representing words as vectors is not new!. 8/26/15. Solve:. 1) . . 2) . 3) .  . Review. Have your homework out on your desk (including your triangle).. Textbooks. Write your name in your textbook in the appropriate place on the inside front cover.. 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. Categories of Errors. Syntax. . errors. are detected at compile time. Use the Error List window to find these errors. The debugging tools cannot help with syntax errors. Runtime. . errors. occur as an application executes. 1.   . Arithmetic in C. Most C programs perform calculations using the C. arithmetic operators. (Fig. 2.9).. Note the use of various special symbols not used in algebra.. The . asterisk. . (. *. th. term of an arithmetic sequence, find the partial sum of an arithmetic series, as evidenced by completion . of “I have…who has…”.. 12. 1 Arithmetic Sequences and Series. Arithmetic Sequences. 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!.