PPT-Sorting by the Numbers

Sorting Part Four Question Suppose you are given the task of writing an application to sort a big data file What do you need to know to pick a good solution File Size 1 GB Record Size 250 Bytes. . Sorting in Linear Time. CSE 680. Prof. Roger Crawfis. Comparison Sorting Review. Insertion . sort:. Pro’s:. Easy to code. Fast on small inputs (less than ~50 elements). Fast on nearly-sorted . inputs. Keyang. He. Discrete Mathematics. Basic Concepts. Algorithm . – . a . specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at some point. Insertion Sort: . Θ. (n. 2. ). Merge Sort:. Θ. (. nlog. (n)). Heap Sort:. Θ. (. nlog. (n)). We seem to be stuck at . Θ. (. nlog. (n)). Hypothesis: . Every sorting algorithm requires . Ω. (. nlog. Insertion Sort. Insertion Sort. Start with empty left hand, cards in pile on table.. Take first card from pile, put in left hand.. Take next card from pile, insert in proper place among cards in left hand.. Sort these 6 socks. How to determine which comes first?. Compare 2 at a time. Draw arrows . from. . an “earlier” sock . to. . a “later” one.. As many arrows as you wish to show the sorting order you have decided.. Bubble Sort . of an array. Inefficient --- . O ( N. 2. ). easy to code. , . hence unlikely to contain errors. Algorithm. for . outerloop. = 1 to N. for . innerloop. = 0 to N-2. if ( item[. MATH SKILL – term I and ii. Concepts taught . Positional words(on-under , up-down , front-back , in-out). Sorting( colors and shapes). Seriating objects big to small. Comparison(half, full, empty and big, small). Teaching Number in the Classroom, Wright et al, 2006. Subitising. Ascribing . numerosity. to a collection of items immediately and without counting, typically up to 5 or 6 items. Regular patterns can be important for young children’s learning – dot cards, dice and domino patterns. Making sense of all the numbers. 1. (c) Lanzafame 2007. UNITS! UNITS! UNITS!. Joe’s 1st rule of Physical Sciences - watch the units.. The ability to convert units is fundamental, and a useful way to solve many simple problems. . La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . Θ. (n. 2. ). Merge Sort:. Θ. (. nlog. (n)). Heap Sort:. Θ. (. nlog. (n)). We seem to be stuck at . Θ. (. nlog. (n)). Hypothesis: . Every sorting algorithm requires . Ω. (. nlog. (n)) time.. Lower Bound Definitions. Given. a set (container) of n elements . E.g. array, set of words, etc. . Goal. Arrange the elements in ascending order. Start .  . 1 23 2 56 9 8 10 100. End .  1 2 8 9 10 23 56 100 (Ascending). Maria Murphy. Central Florida Math Circle. University of Central Florida . Department of Mathematics . What is a Palindrome? . A palindrome is a word or phrase that reads the same forwards and backwards. . BD FACS Aria III . . Excitation Laser. Detection Filter. Example. 488 nm (blue). 695/40 (675-715 nm). PERCP/5.5, 7AAD, EPRCP-EF710. 515/20 (505 – 525 nm). AF488, GFP, FITC. 561 nm (green). 780/60 (750- 810 nm).