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Ryerson - MGMT - 2012
Excerpt from 2010 exam2251Question #2 (worth 34% of the total mark)At December 31, 2000 the Walker Company had one temporary difference (related todepreciation) that resulted in a long term future tax asset of $140,000 on its balance sheet. As atDece
University of Florida - CS - 304
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University of Florida - CS - cs301
Advanced Data StructuresSartaj SahniClip Art Sourceswww.barrysclipart.comwww.livinggraphics.comwww.rad.kumc.eduwww.livinggraphics.comWhat The Course Is About Study data structures for: External sorting Single and double ended priority queues Di
University of Florida - CS - cs301
Amortized ComplexityAggregate method. Accounting method. Potential function method.Potential Function P(i) = amortizedCost(i) actualCost(i) + P(i 1) (P(i) P(i 1) =(amortizedCost(i) actualCost(i) P(n) P(0) = (amortizedCost(i) actualCost(i) P(n) P(
University of Florida - CS - cs301
External Sorting Sort n records/elements that reside on a disk. Space needed by the n records is very large. n is very large, and each record may be large orsmall. n is small, but each record is very large. So, not feasible to input the n records, s
University of Florida - CS - cs301
External Sorting Adapt fastest internal-sort methods.Quick sort best average run time. Merge sort best worst-case run time.Internal Merge Sort Review Phase 1 Create initial sorted segments Natural segments Insertion sort Phase 2 Merge pairs of s
University of Florida - CS - cs301
Improve Run Generation Overlap input,output, and internal CPU work. Reduce the number of runs (equivalently, increase averagerun length).DISKMEMORYDISKInternal Quick Sort6 2 8 5 11 10 4 1 9 7 3Use 6 as the pivot (median of 3).Input first, middle
University of Florida - CS - cs301
Optimal Merging Of Runs222291374153667943Weighted External Path LengthWEPL(T) = (weight of external node i)* (distance of node i from root of T)2274WEPL(T) = 4 * 2 + 3*2 + 6*2 + 9*2= 4415369Weighted External Path LengthWEPL(T)
University of Florida - CS - cs301
Improve Run Merging Reduce number of merge passes. Use higher order merge. Number of passes= ceil(logk(number of initial runs)where k is the merge order. More generally, a higher-order mergereduces the cost of the optimal merge tree.Improve Run Me
University of Florida - CS - cs301
Double-Ended Priority Queues Primary operations Insert Remove Max Remove Min Note that a single-ended priority queuesupports just one of the above removeoperations.General Methods Dual min and max single-ended priorityqueues. Correspondence bas
University of Florida - CS - cs301
Interval HeapsComplete binary tree.Each node (except possibly last one) has 2 elements.Last node has 1 or 2 elements.Let a and b be the elements in a node P, a <= b.[a, b] is the interval represented by P.The interval represented by a node that has
University of Florida - CS - cs301
Leftist TreesLinked binary tree.Can do everything a heap can do and in thesame asymptotic complexity. insert remove min (or max) initializeCan meld two leftist tree priority queues inO(log n) time.Extended Binary TreesStart with any binary tree
University of Florida - CS - cs301
Binomial HeapsInsertRemove min (ormax)MeldLeftisttreesO(log n)Binomial heapsActual AmortizedO(1) O(1)O(log n)O(n)O(log n)O(log n)O(1)O(1)Min Binomial Heap Collection of min trees.246571497655869983Node Structure Degre
University of Florida - CS - cs301
Analysis Of Binomial HeapsInsertRemove min (ormax)MeldLeftisttreesO(log n)Binomial heapsActual AmortizedO(1) O(1)O(log n)O(n)O(log n)O(log n)O(1)O(1)Operations Insert Add a new min tree to top-level circular list. Meld Combine two cir
University of Florida - CS - cs301
Fibonacci HeapsInsertActualO(1)AmortizedO(1)Remove min (or max) O(n)O(log n)MeldO(1)O(1)RemoveO(n)O(log n)Decrease key (orincrease)O(n)O(1)Single Source All DestinationsShortest Paths16821637635410142543147Greedy Si
University of Florida - CS - cs301
Pairing HeapsInsertFibonacci PairingO(1)O(1)Remove min (or max) O(n)O(n)MeldO(1)O(1)RemoveO(n)O(n)Decrease key (orincrease)O(n)O(1)Pairing HeapsInsertFibonacci PairingO(1)O(log n)Remove min (or max) O(log n)O(log n)MeldO(1)O(log
University of Florida - CS - cs301
Dictionaries Collection of items. Each item is a pair. (key, element) Pairs have different keys.Application Collection of student records in this class. (key, element) = (student name, linear list ofassignment and exam scores) All keys are distin
University of Florida - CS - cs301
Dynamic Dictionaries Primary Operations: get(key) => search put(key, element) => insert remove(key) => delete Additional operations: ascend() get(index) remove(index)Complexity Of Dictionary Operationsget(), put() and remove()Data Structure Wor
University of Florida - CS - cs301
AVL Trees binary tree for every node x, define its balance factorbalance factor of x = height of left subtree of x height of right subtree of x balance factor of every node x is 1, 0, or 1 log2 (n+1) <= height <= 1.44 log2 (n+2)Example AVL Tree-1
University of Florida - CS - cs301
Red Black TreesColored Nodes Definition Binary search tree. Each node is colored red or black. Root and all external nodes are black. No root-to-external-node path has twoconsecutive red nodes. All root-to-external-node paths have thesame number o
University of Florida - CS - cs301
Red-Black TreesAgain rank(x) = # black pointers on path from x to anexternal node. Same as #black nodes (excluding x) from x to anexternal node. rank(external node) = 0.An Example10211012740131003150012 308120010025451
University of Florida - CS - cs301
B-Trees Large degree B-trees used to represent very largedictionaries that reside on disk. Smaller degree B-trees used for internal-memorydictionaries to overcome cache-miss penalties.AVL Trees n = 230 = 109 (approx). 30 <= height <= 43. When the
University of Florida - CS - cs301
B+-Trees Same structure as B-trees. Dictionary pairs are in leaves only. Leaves form adoubly-linked list. Remaining nodes have following structure:j a0 k1 a1 k2 a2 kj aj j = number of keys in node. ai is a pointer to a subtree. ki <= smallest key
University of Florida - CS - cs301
Splay Trees Binary search trees. Search, insert, delete, and split have amortizedcomplexity O(log n) & actual complexity O(n). Actual and amortized complexity of join is O(1). Priority queue and double-ended priority queueversions outperform heaps,
University of Florida - CS - cs301
Digital Search Trees & Binary Tries Analog of radix sort to searching. Keys are binary bit strings. Fixed length 0110, 0010, 1010, 1011. Variable length 01, 00, 101, 1011. Application IP routing, packet classification,firewalls. IPv4 32 bit IP addr
University of Florida - CS - cs301
Binary Tries (continued) split(k). Similar to split algorithm for unbalanced binarysearch trees. Construct S and B on way down the trie. Follow with a backward cleanup pass over theconstructed S and B.Forward Pass Suppose you are at node x, which
University of Florida - CS - cs301
Higher Order Tries Key = Social Security Number. 441-12-1135 9 decimal digits. 10-way trie (order 10 trie).0123456789Height <= 10.Social Security Trie 10-way trie Height <= 10. Search => <= 9 branches on digits plus 1 compare. 100-way trie 441
University of Florida - CS - cs301
Router/Classifier/Firewall Tables Set of rules(F,A) F is a filter Source and destination addresses. Port number and protocol. Time of day. A is an action Drop packet Forward to machine x (next hop). Reserve 10GB/sec bandwidth.Example Filters Qo
University of Florida - CS - cs301
Suffix Trees String any sequence of characters. Substring of string S string composed ofcharacters i through j, i <= j of S. S = cater => ate is a substring. car is not a substring. Empty string is a substring of S.Subsequence Subsequence of strin
University of Florida - CS - cs301
Bloom Filters Differential Files Simple large database. Collection/file of records residing on disk. Single key. Index to records. Operations. Retrieve. Update. Insert a new record. Make changes to an existing record. Delete a record.Nave Mode
University of Florida - CS - cs301
Segment Trees Basic data structure in computational geometry. Computational geometry. Computations with geometric objects. Points in 1-, 2-, 3-, d-space. Closest pair of points. Nearest neighbor of given point. Lines in 1-, 2-, 3-, d-space. Machin
University of Florida - CS - cs301
Interval Trees Store intervals of the form [li,ri], li <= ri. Insert and delete intervals. Version 1 Answer queries of the form: which intervalsintersect/overlap a given interval [l,r]. Version 2Variant Report just 1 overlapping interval.Definitio
University of Florida - CS - cs301
Priority Search Trees Keys are distinct ordered pairs (xi, yi). Basic operations. get(x,y) return element whose key is (x,y). delete(x,y) delete and return element whose keyis (x,y). insert(x,y,e) insert element e, whose key is (x,y). Rectangle ope
University of Florida - CS - cs301
Priority Search Trees Keys are distinct ordered pairs (xi, yi). Min tree on y. Search tree (almost) on x. Two varieties. Search tree is a balanced binary search tree such asa red-black tree. Red-black Priority Search Tree (RBPST) Search tree is a
University of Florida - CS - cs301
Multidimensional Range Search Static collection of records. No inserts, deletes, changes. Only queries. Each record has k key fields. Multidimensional query. Given k ranges [li, ui], 1 <= i <= k. Report all records in collection such thatli <= ki
University of Florida - CS - cs301
Quad Trees Region data vs. point data. Roads and rivers in a country/state. Which rivers flow through Florida? Which roads cross a river? Network firewalls. (source prefix, destination prefix, action) (01*, 110*, drop packet)27dest 248source15
University of Florida - CS - cs301
BSP Trees Binary space partitioning trees. Used to store a collection of objects in ndimensional space. Tree recursively divides n-dimensionalspace using (n-1)-dimensional hyperplanes.Space Partitioningn-dimensional spacesplitting hyperplane(n-1)-
University of Florida - CS - cs301
R-Trees Extension of B+-trees. Collection of d-dimensional rectangles. A point in d-dimensions is a trivial rectangle.Non-rectangular Data Non-rectangular data may be represented byminimum bounding rectangles (MBRs).Operations Insert Delete Find
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
EEL 5544 Midterm Examination Number 1October 6, 2008The time for this test is 2 hours. This is a closed book test, but you are allowed one formulasheet. The formula sheet cannot contain any examples. You should write your name on theformula sheet and
King Fahd University of Petroleum & Minerals - CHEM - 101
King Fahd University of Petroleum and Minerals, Chemistry DepartmentSecond Semester (112)CHEM 101Lecture and Lab ScheduleTextbook: Chemistry by J. Burdge, 1st and 2nd EditionWk123456789101112131415DateDay Lec.Chapter Sec.HomeworkJ
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
EEL 5544 Midterm Examination Number 2November 13, 2008The time for this test is 2 hours. This is a closed book test, but you are allowed two formulasheets. The formula sheets cannot contain any examples. You should write your name on theformula sheets
University of Florida - ECE - eel 5544
EEL 5544 Midterm Examination Number 2November 12, 2009The time for this test is 2 hours. This is a closed book test, but you are allowed two formulasheets. The formula sheets cannot contain any examples. You should write your name on theformula sheets
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
University of Florida - ECE - eel 5544
L35-1EEL 5544 Noise in Linear Systems Lecture 35EXAutocorrelation Function of AR-1 ProcessL35-2P ROPERTIES OF AUTOCORRELATION F UNCTIONS Given a 2nd-order RP X (t ), its autocorrelation functions satises:(1) RX (t , t ) 0(positive power)(2) RX (t
University of Florida - ECE - eel 5544
S2-1EEL 5544 HW 2 Solutions, Fall 2008CombinatoricsSS-1.(a) With order and with repeats, the number of possible combinations (this is a dangerousword to use here when talking about probabilities) is 603 = 216, 000.(b) With order and without repeats,
University of Florida - ECE - eel 5544
Soln3-1SS-1.Soln3-21.Soln3-3Soln3-4Soln3-52.Soln3-6Soln3-7SS-2.Soln3-8SS-3.Soln3-9SS-4.Soln3-10SS-5.(a)fX (x)dx = 1 Area under triangle of height c and base 2a equals 1 1 (c)(2a) = 12 c = 1/aThefX (x) = |ax2| , |x| a0,otherwise
Keller Graduate School of Management - ACCT - 551
A. Selling price of bonds($4,000,000 X 1.03)Interest Accrued(4,000,000 X 9%=360,000)(360,000X2 months Jan & Feb =720,000)(720,000/12 months = 60,000)Less: Bonds Issuance CostsNet amount of cash received by Wilke4,120,000.00+ 60,000.004,180,000.0
Humber - BIOL - 171
ReproductionDevelopment fromfertilization to birthfertilizationimplantationplacental developmentfetal developmentgestationlaborparturition (birth)Terminology of Development gestation period from fertilization to birth (38 weeks) prenatal peri
Humber - BIOL - 171
FemaleReproductiveSystem Anatomymid-sagittal viewFallopian TubeUterusOvaryurinarybladderMons PubisVaginaurethraanal canalClitorisLabia MinoraLabia Majoracoronal viewFallopian TubeOvaryUterusVaginaOvaries almond -shaped; 2-3.5 cm x 1-
Humber - BIOL - 171
Reproduction sexual reproduction producesnew individuals fertilization results in one cellwith 23 chromosomes fromeach parentReproduction gonad primary sex organ testis in male ovaries in female produce gametes, sex hormonesReproduction gamete
Humber - BIOL - 171
RESPIRATORYSYSTEMRespiratory SystemAnatomy nose pharynx = throat larynx = voicebox trachea = windpipe bronchi = airways lungsRespiratory SystemAnatomy upper respiratory tractsuperior to vocal cords lower respiratory tractinferior to vocal c
Humber - BIOL - 171
THEURINARYSYSTEMThe Urinary Systemkidneyureterurinary bladderurethra John Wiley & Son IncThe Urinary Systemkidneysuretersurinary bladderurethraOverview ofKidney Functions regulation of blood: ion concentrations osmolarity volume pressur
Humber - BIOL - 171
RESPIRATORYSYSTEMRespiratory SystemAnatomy nose pharynx = throat larynx = voicebox trachea = windpipe bronchi = airways lungsRespiratory SystemAnatomy upper respiratory tractsuperior to vocal cords lower respiratory tractinferior to vocal c
Humber - BIOL - 171
RESPIRATORYSYSTEMRespiratory SystemAnatomy nose pharynx = throat larynx = voicebox trachea = windpipe bronchi = airways lungsRespiratory SystemAnatomy upper respiratory tractsuperior to vocal cords lower respiratory tractinferior to vocal c
Humber - BIOL - 171
CirculationBlood Vessels andHemodynamicswww.accessexcellence.orgAnatomy of BloodVessels closed system of tubes arteries carry blood away fromthe heart (to tissues) elastic arteries muscular arteries arteriolesAnatomy of BloodVessels capillar