# Ppt on polynomials download music

##### Homeaboutexpectationsresources course overview learning outcomes IDEA schedule & sessions course syllabus blended model instructor version Cover weekend.

creative capacities (writing, inventing, designing, performing in art, music, drama, etc.) Gaining a broader understanding and appreciation of intellectual/ cultural activity (music, science, literature, etc.) Developing skill in expressing oneself orally/structure and properties of the real number system. Topics covered include linear equation, graphs, functions, polynomials, polynomial functions, rational expressions, rational equations, and radical expressions. 11 Faculty Weekend Course Overview Course /

##### Advanced Algorithms Piyush Kumar (Lecture 11: Div & Conquer) Welcome to COT5405 Source: Kevin Wayne, Harold Prokop.

Multiplication Cache Aware algorithms/ Cache oblivious Algorithms Static Van Emde Boas Layout 5.3 Counting Inversions Music site tries to match your song preferences with others. –You rank n songs. –Music site consults database to find people with similar tastes. Similarity metric: number of inversions between /n-1 … a 1 a 0 and b = b n-1 … b 1 b 0, compute their product c = a  b. Convolution algorithm. –Form two polynomials. –Note: a = A(2), b = B(2). –Compute C(x) = A(x)  B(x). –Evaluate C(2) = a  b. /

##### Advanced Algorithms Piyush Kumar (Lecture 2 Div & Conquer) Welcome to COT5405 Source: Kevin Wayne, Harold Prokop.

algorithms/ Cache oblivious Algorithms Static Van Emde Boas Layout FFTs Streaming Algorithms 5.3 Counting Inversions Music site tries to match your song preferences with others. –You rank n songs. –Music site consults database to find people with similar tastes. Similarity metric: number of inversions between two/n-1 … a 1 a 0 and b = b n-1 … b 1 b 0, compute their product c = a  b. Convolution algorithm. –Form two polynomials. –Note: a = A(2), b = B(2). –Compute C(x) = A(x)  B(x). –Evaluate C(2) = a  b. /

##### Advanced Algorithms Piyush Kumar (Lecture 11: Div & Conquer) Welcome to COT5405 Source: Kevin Wayne, Harold Prokop.

Multiplication Cache Aware algorithms/ Cache oblivious Algorithms Static Van Emde Boas Layout 5.3 Counting Inversions Music site tries to match your song preferences with others. –You rank n songs. –Music site consults database to find people with similar tastes. Similarity metric: number of inversions between /n-1 … a 1 a 0 and b = b n-1 … b 1 b 0, compute their product c = a  b. Convolution algorithm. –Form two polynomials. –Note: a = A(2), b = B(2). –Compute C(x) = A(x)  B(x). –Evaluate C(2) = a  b. /

##### z n + a n-1 z +... +a 0 = (z – z n ) (z – z n-1 )... (z – z 1 ) and the Measurement of the Shortest Rick Trebino School of Physics Georgia Institute of.

of the Shortest Rick Trebino School of Physics Georgia Institute of Technology Atlanta, GA 30332 The Musical Score, the Fundamental Theorem of Algebra, Events Ever Created The Musical Score In order to measure an event in time, you need a shorter one. To study/ but changes the phase, yielding an ambiguity! So 1D phase retrieval is impossible! Phase Retrieval & the Fund Thm of Algebra 2 polynomial! 2D Phase Retrieval and the Fundamental Theorem of Algebra The Fourier transform {F 0,0, …, F N-1,N-1 } /

##### Spring 2014 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse.

one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations. Performing Operations on Polynomials 2 Students need additional practice applying the laws of exponents when multiplying expressions. Suggested Practice for SOL A.2a Simplify: a. b/this situation? a. b. c. d. Extension: How many days would it take 60 workers to set up for the Summer Music Festival? Answer: It would take days or 1 day and 16 hours. SOL A.9 The student, given a set of /

##### Curriculum Night February 3, 2016 WELCOME!. Agenda Miss Herbaugh: School Counselor Mrs. Swales and Mrs. Taneyhill: GACTC Counselors Mrs. Hurd: Social.

Course Information World Languages: Mrs. Stern, Department Chairperson Family and Consumer Sciences Technology Education Art Education Music Education Humanities and Other Electives Are You Ready For 9 th Grade? Things to Consider: –High School/ Covered: Review of solving equations, Solving Systems of Linear Equations and Inequalities, Functions, Working with Polynomials, Factoring Polynomials, Exponents, Rational Expressions, Radical Expressions. Students will take the Algebra 1 Keystone Exam in May/

##### Homeaboutexpectationsresources course overview learning outcomes IDEA schedule & sessions course syllabus blended model instructor version Cover evening.

capacities (writing, inventing, designing, performing in art, music, drama, etc.) Gaining a broader understanding and appreciation of intellectual/ cultural activity (music, science, literature, etc.) Developing skill in expressing /, graphs, and linear equations as applied to problems in economics and business. Topics include mathematics of finance, linear, polynomial, exponential, and logarithmic functions. 11 Faculty Evening Course Overview Course Materials Required Textbook and Materials Lial, M. L.,/

##### Homeaboutexpectationsresources course overview learning outcomes IDEA schedule & sessions course syllabus blended model instructor version Cover weekend.

writing, inventing, designing, performing in art, music, drama, etc.) Gaining a broader understanding and appreciation of intellectual/ cultural activity (music, science, literature, etc.) Developing skill in/Hospitality  Community 15 Faculty Weekend Course Schedule SessionLoc.Class TitleAssignments 03 AF2FApplications of Quadratic Functions Polynomial Functions Rational Functions Exponential Functions Applications of Exponential Functions Logarithmic Functions Logarithmic and Exponential Equations Sections/

##### Homeaboutexpectationsresources course overview learning outcomes IDEA schedule & sessions course syllabus blended model student version next Cover evening.

capacities (writing, inventing, designing, performing in art, music, drama, etc.) Gaining a broader understanding and appreciation of intellectual/ cultural activity (music, science, literature, etc.) Developing skill in expressing / Hospitality  Community 14 Student Evening Course Schedule SessionLoc.Class TitleAssignments 05 A F2FIntroduction to polynomials Polynomial functions Multiplication of polynomials Factoring trinomials Homework review In-class quiz on sections 2.4 and 2.5 Practice problems/

##### Homeaboutexpectationsresources course overview learning outcomes IDEA schedule & sessions course syllabus blended model student version next Cover weekend.

creative capacities (writing, inventing, designing, performing in art, music, drama, etc.) Gaining a broader understanding and appreciation of intellectual/ cultural activity (music, science, literature, etc.) Developing skill in expressing oneself orally/structure and properties of the real number system. Topics covered include linear equation, graphs, functions, polynomials, polynomial functions, rational expressions, rational equations, and radical expressions. 8 Student Weekend Course Overview Course /

##### Off-the-Grid Compressive Imaging: Recovery of Piecewise Constant Images from Few Fourier Samples Greg Ongie PhD Candidate Department of Applied Math and.

Theory Classical Off-the-Grid Method: Prony (1795) Uniform time samples Off-the-grid frequencies Robust variants: Pisarenko (1973), MUSIC (1986), ESPRIT (1989), Matrix pencil (1990)... Atomic norm (2011) Main inspiration: Finite-Rate-of-Innovation (FRI) [/multiplication annihilating filter convolution Can recover edge set when it is the zero-set of a 2-D trigonometric polynomial [Pan et al., 2014] “FRI Curve” 25x25 coefficients13x13 coefficients Multiple curves & intersections Non-smooth points Approximate/

##### Homeaboutexpectationsresources course overview learning outcomes IDEA schedule & sessions course syllabus blended model instructor version Cover evening.

capacities (writing, inventing, designing, performing in art, music, drama, etc.) Gaining a broader understanding and appreciation of intellectual/ cultural activity (music, science, literature, etc.) Developing skill in expressing /, graphs, and linear equations as applied to problems in economics and business. Topics include mathematics of finance, linear, polynomial, exponential, and logarithmic functions. 11 Faculty Evening Course Overview Course Materials Required Textbook and Materials Lial, M. L.,/

##### Recommendations Based on Speech Classification

age recognition GMM/SVM supervector approach for acoustic speech features Detection task and pseudo-NIST evaluation procedure Rank and polynomial rank normalization Knowledge-driven feature selection Classification methods for independent “bag of observations” features Valid application-independent evaluation /yes 1.32432 no -0.3212 no 1.8463 no -2.5773 yes 0.00132 no 2.20122 emergency vehicle ? music ? talking ? laughing ? phone ? no event ? The system performance is evaluated by presenting it with a set of/

##### Deep Learning from Speech Analysis/Recognition to Language/Multimodal Processing Li Deng Deep Learning Technology Center, Microsoft Research, Redmond,

Lewandowski, N., Bengio, Y., and Vincent, P. “Modeling Temporal Dependencies in High-Dimensional Sequences: Application to Polyphonic Music Generation and Transcription,” Proc. ICML, 2012. Bourlard, H. and Morgan, N., Connectionist Speech Recognition: A Hybrid /recognition,” Neurocomputing, Vol 106, 148-157, 2013. Siniscalchi, M., Li, J., and Lee, C. “Hermitian Polynomial for Speaker Adaptation of Connectionist Speech Recognition Systems,” IEEE Transactions on Audio, Speech, and Language Processing, Vol. 21,/

##### Machine Learning https://store.theartofservice.com/the-machine-learning-toolkit.html.

show that a certain class of functions can be learned in polynomial time. Negative results show that certain classes cannot be learned in polynomial time. https://store.theartofservice.com/the-machine-learning-toolkit.html Machine/search) https://store.theartofservice.com/the-machine-learning-toolkit.html Music Information Retrieval - Statistics and Machine Learning *Software for music information retrieval — Semantic Web and musical digital objects, intelligent agents, collaborative software, web-based /

##### Introduction to Approximation Algorithms Lecture 12: Mar 1.

people believe that P NP? NP-completeness I can appreciate good music (being able to verify solutions) doesn’t mean that I can compose good music (to find solutions). (from wikipedia) "Proof by contradiction. Assume P = NP. Let y be a proof that P = NP. The proof y can be verified in polynomial time by a competent computer scientist, the existence of which/

##### Warm-up2/26/09 SKILL REVIEW: Simplify each expression. Use only positive exponents. 1)(3a 2 )(4a 6 ) 2)8a 5 /2a 2 3)(-6m 2 n 2 )(3mn) 4)X 4 X -2 /x -5.

feet The markings that are found on dice are called "pips." A newly hatched fish is called a "fry." The music band UB40 got its name from an unemployment form in England Armadillos can be housebroken The Eisenhower interstate system requires that one/Mahal was brought in from various parts of India by a fleet of 1000 elephants Chapter 5 Project Unit map Topic: Polynomials and Polynomial Functions Key Learning(s): Every function has an inverse, but not every inverse has a function Unit Essential Question (UEQ/

##### CIS, IUPUI1 Digital transmission fundamentals (chap.3 & 4) 1.What is digital transmission? 2.Why digital transmission? 3.How to represent different information.

/images: –8 X 10 inch photo, 400 X400 pixels/inch. 38.4MB. Voice: PCM/ADPCM, 4kHz, 64kbps (this as well the followings called stream) Music/Audio: –MPEG/MP3, 16-24 kHz, 512-748 kbps. Video: a sequence of pictures (moving pictures) –H.261, 176 X 144 pixels/frame, 10/ as follows: ) 11010101011 1111 1011 1100 1011 1111 1011 1000 1011 11 The remainder is not zero, so error occurs. CIS, IUPUI36 Typical standard CRC polynomials CRC-8: x 8 + x 2 + x + 1 ATM header error check CRC-16: x 16 +x 12 +x 5 +1 HDLC, /

##### 4/17/2008Semantic Communication1 Universal Semantic Communication Madhu Sudan MIT CSAIL Joint work with Brendan Juba (MIT CSAIL).

priori – not clear why he should have been able to decide right/wrong. Polynomial time learning not possible in our model of “helpful Alice”. Polynomial time learning not possible in our model of “helpful Alice”. Better definitions can be/Amazon Buy something on Amazon Intellectual Curiosity: Intellectual Curiosity: Learning/Teaching Learning/Teaching Listening to music, watching movies Listening to music, watching movies Coming to this talk Coming to this talk Searching for alien intelligence Searching for/

##### Universal Semantic Communication Madhu Sudan MIT CSAIL Joint work with Brendan Juba (MIT CSAIL).

priori – not clear why he should have been able to decide right/wrong. Polynomial time learning not possible in our model of “helpful Alice”. Polynomial time learning not possible in our model of “helpful Alice”. Better definitions can be/Amazon Buy something on Amazon Intellectual Curiosity: Intellectual Curiosity: Learning/Teaching Learning/Teaching Listening to music, watching movies Listening to music, watching movies Coming to this talk Coming to this talk Searching for alien intelligence Searching for/

##### Princeton University COS 423 Theory of Algorithms Spring 2001 Kevin Wayne NP-Completeness.

heard one. n Ace an exam. Verify TAs solutions. Imagine the wealth of a society that produces optimal planes, bridges, rockets, theorems, art, music, wine, jokes. 16 The Main Question Does P = NP? n Is the original DECISION problem as easy as CERTIFICATION? If yes, then: n/ X if and only if y is a YES instance of Y. n We require |y| to be of size polynomial in |x|. Polynomial transformation is polynomial reduction with just one call to oracle for Y, exactly at the end of the algorithm for X. Note: all /

##### NP and Computational Intractability

every string in {0, 1}*. Class P P = {L ⊆ {0, 1}* : there exists an algorithm A that decides L in polynomial time} Polynomial-time verification For example, suppose that for a given instance 〈G, u, v, k〉 of the decision problem PATH, We are also given a/-oh-oh, find the longest path! Woh-oh-oh-oh, find the longest path. Lyrics. Copyright © 1988 by Daniel J. Barrett. Music. Sung to the tune of The Longest time by Billy Joel. Recorded by Dan Barrett while a grad student at Johns Hopkins during a difficult/

##### The Mathematics of Information Technology – The Road Ahead V. Kumar Murty Department of Mathematics University of Toronto.

to be well suited for describing the physical universe.  Defining characteristic is precision.  It shares some similarities with music. The Uncertainty Principle of Language  Breadth vs. precision  Mathematics is not suitable for expressing certain ideas (for example/ to CDs in 1982.  They have been generalized in many ways, including algebraic geometry codes in which the polynomials are replaced by functions on a curve over F. Roomba and computational geometry  Robotic vacuum cleaner.  Navigation/

##### Algebra Jeff Edmonds York University COSC 6111 Fields GCD Powers mod p Fermat, Roots of Unity, & Generators Z mod p vs Complex Numbers Cryptography Other.

Vector Spaces Colour Error Correcting Codes Linear Transformations Integrating Changing Basis Fourier Transformation (sine) Fourier Transformation (JPEG) Fourier Transformation (Polynomials) Other Algebra Taylor Expansions Generating Functions Primes Numbers Fields A Field has: A universe U of values Two operations: + and/ time y(t) Find the contribution of each frequency Sine &Cosine Basis If this is the dominate musical note of frequency  = 2  /T, then all the other basis functions are its harmonics /

##### From Mathematics to Generic Programming Course Slides – Part 2 of 3 Version 1.0 October 5, 2015 Copyright © 2015 by Alexander A. Stepanov and Daniel E.

in our algorithm needs commutativity 87 Examples of Noncommutative Additive Semigroups Positive even integers Negative integers Real numbers Polynomials Planar vectors Boolean functions Line segments 88 Mathematical Naming Conventions If a set has one binary operation that is/ innovation in the 18 th and 19 th centuries… 155 Golden Age of German Culture (18 th and 19 th centuries) Music – Bach, Händel, Haydn, Mozart, Beethoven, Schubert, Schumann, Brahms, Wagner, Mahler, Richard Strauss Literature – Goethe,/

##### Secret Sharing and Key Escrow Supplemental Information for Cryptology Class Lecture slides by Richard Newman.

original creator has put original idea in concrete form creator has put original idea in concrete form e.g. literary works, musical works, dramatic works, pantomimes and choreographic works, pictorial, graphic, and sculptural works, motion pictures and other audiovisual works, sound recordings/No fewer than k of them can derive any knowledge of S  All k of them can reconstruct S Shamir’s Polynomial SS  Polynomial of degree k can be specified By k+1 coefficients By k+1 coefficients By k+1 distinct points By k+/

##### Universal Semantic Communication Madhu Sudan MIT CSAIL Joint work with Brendan Juba (MIT).

polynomial time (contains factoring). NP – Problems where solutions can be verified in polynomial time (contains factoring). PSPACE – Problems solvable in polynomial space (quite infeasible for Bob to solve on his own). PSPACE – Problems solvable in polynomial/Buy something on Amazon Intellectual Curiosity: Intellectual Curiosity: Learning/Teaching Learning/Teaching Listening to music, watching movies Listening to music, watching movies Coming to this talk Coming to this talk Searching for alien intelligence/

##### 1 Research Thinking and Writing Toolbox Gordana Dodig Crnkovic School of Innovation, Design and Engineering, Mälardalen.

and Biological, Symbolic, Sub-symbolic and Agent- based - importance of the diversity of intelligences ( logical, linguistic, spatial, musical, kinesthetic, interpersonal, intrapersonal, …) for both natural and artifactual intelligence. Lessons Learned: Thinking The Biggest Picture and the Smallest./ 29 30 Is there any decision problem that can be solved by a non-deterministic Turing machine in polynomial time (belongs to complexity class NP), but not by a deterministic Turing machine, (meaning it does /

##### 上海海事大学信息工程学院 Unit 6 Introduction to Digital Signal Processing Background Words and expressions Text and notes Grammar Exercises Reading material.

works by oversampling a polynomial constructed from the data. The polynomial is evaluated at several points, and these values are sent or recorded. Sampling the polynomial more often than is necessary makes the polynomial over- determined. As long/ noise by canceling it with digitally ________(generate) antinoise. Another interesting DSP application is artificial reverberation in music preparation. If the individual channels are simple added together, the resulting piece ______(sound) frail and diluted/

##### Coding Theory and its Applications 編碼及其應用 Hung-Lin Fu Dept. of Applied Mathematics National Chiao Tung University Hsin Chu, Taiwan.

)(1+x 2 +x 3 ) (?) (Hint: 1 = -1, (1+x) 2 = 1+x 2.)  The set of all polynomials in R 7 which are multiples of 1+x+x 3 forms a linear code with 16 codewords. This is “ essentially the same ” code as / technique, some “ average ” is constructed using the valid data around an error. This average is then substituted in for the erroneous data. Since most music (with the possible exception of heavy metal!) is continuous -- this method works well for concealing relatively short errors.  Muting( 消音 ): Muting is a/

##### Last time: Summary Definition of AI? Turing Test? Intelligent Agents:

2.72 exp(10) = 2.20 104 (daily salesman trip) exp(100) = 2.69 1043 (monthly salesman planning) exp(500) = 1.40 10217 (music band worldwide tour) exp(250,000) = 10108,573 (fedex, postal services) Fastest computer = 1012 operations/second So… In general, exponential-complexity problems cannot be solved/g is o(h), then f is o(h) if f is o(g) and g is O(h), then f is o(h) Polynomial-time hierarchy From Handbook of Brain Theory & Neural Networks (Arbib, ed.; MIT Press 1995). NP P AC0 NC1 NC P complete NP complete/

##### CS 561, Lectures 3-5 1 Last time: Summary Definition of AI? Turing Test? Intelligent Agents: Anything that can be viewed as perceiving its environment.

2.72 exp(10) = 2.20 10 4 (daily salesman trip) exp(100) = 2.69 10 43 (monthly salesman planning) exp(500) = 1.40 10 217 (music band worldwide tour) exp(250,000) = 10 108,573 (fedex, postal services) Fastest computer = 10 12 operations/second CS 561, Lectures 3-5 76 So… In general/then f is o(h) if f is o(g) and g is O(h), then f is o(h) CS 561, Lectures 3-5 83 Polynomial-time hierarchy From Handbook of Brain Theory & Neural Networks (Arbib, ed.; MIT Press 1995). AC 0 NC 1 NCP completeNP complete P NP PH AC 0/

##### CS 561, Lectures 3-5 1 Last time: Summary Definition of AI? Turing Test? Intelligent Agents: Anything that can be viewed as perceiving its environment.

2.72 exp(10) = 2.20 10 4 (daily salesman trip) exp(100) = 2.69 10 43 (monthly salesman planning) exp(500)= 1.40 10 217 (music band worldwide tour) exp(250,000)= 10 108,573 (fedex, postal services) Fastest computer = 10 12 operations/second CS 561, Lectures 3-5 60 So… In general,/ then f is o(h) if f is o(g) and g is O(h), then f is o(h) CS 561, Lectures 3-5 66 Polynomial-time hierarchy From Handbook of Brain Theory & Neural Networks (Arbib, ed.; MIT Press 1995). AC 0 NC 1 NCP completeNP complete P NP PH AC 0/

##### CS 561, Lectures 3-5 1 Last time: Summary Definition of AI? Turing Test? Intelligent Agents: Anything that can be viewed as perceiving its environment.

2.72 exp(10) = 2.20 10 4 (daily salesman trip) exp(100) = 2.69 10 43 (monthly salesman planning) exp(500) = 1.40 10 217 (music band worldwide tour) exp(250,000) = 10 108,573 (fedex, postal services) Fastest computer = 10 12 operations/second CS 561, Lectures 3-5 73 So… In general/then f is o(h) if f is o(g) and g is O(h), then f is o(h) CS 561, Lectures 3-5 80 Polynomial-time hierarchy From Handbook of Brain Theory & Neural Networks (Arbib, ed.; MIT Press 1995). AC 0 NC 1 NCP completeNP complete P NP PH AC 0/

##### 1 DCP 1172 Introduction to Artificial Intelligence Lecture notes for Chap. 3 [AIMA] Chang-Sheng Chen.

2.72 exp(10) = 2.20 10 4 (daily salesman trip) exp(100) = 2.69 10 43 (monthly salesman planning) exp(500) = 1.40 10 217 (music band worldwide tour) exp(250,000) = 10 108,573 (fedex, postal services) Fastest computer = 10 12 operations/second DCP 1172, Ch. 3 72 So… In general, /h), then f is o(h) if f is o(g) and g is O(h), then f is o(h) DCP 1172, Ch. 3 79 Polynomial-time hierarchy From Handbook of Brain Theory & Neural Networks (Arbib, ed.; MIT Press 1995). AC 0 NC 1 NCP completeNP complete P NP PH AC 0 /

##### ACCESSING ACCESS Who? What? Where? When? Why? andHow? Laura Hamm and Heather White.

to assign grades in Pinnacle. Mathematics –Adding Polynomials MM1A2—Students will simplify and operate with radical expressions, polynomials, and rational expressions. c.Add, subtract, multiply, and divide polynomials Pre-requisite skill—substituting values into expressions But what/SSEPF6ELA11LSV1 Unit review – Vocabulary Cards Unique – October monthly check point cards JB-Sitting in chair 9:00- Music This allows you to hit the students IEP goals and objectives, GPS standards, and the new Evaluation system/

##### SE 420 1 Outline: Problem solving and search Introduction to Problem Solving Complexity Uninformed search Problem formulation Search strategies: depth-first,

72 exp(10) = 2.20 10 4 (daily salesman trip) exp(100) = 2.69 10 43 (monthly salesman planning) exp(500) = 1.40 10 217 (music band worldwide tour) exp(250,000) = 10 108,573 (fedex, postal services) Fastest computer = 10 12 operations/second SE 420 66 So… In general, exponential-complexity/ o(h), then f is o(h) if f is o(g) and g is O(h), then f is o(h) SE 420 73 Polynomial-time hierarchy From Handbook of Brain Theory & Neural Networks (Arbib, ed.; MIT Press 1995). AC 0 NC 1 NCP completeNP complete P NP PH AC/

##### *Get the Math is funded by a grant from EDUCAUSE through the Next Generation Learning Challenges and The Moody’s Foundation. Deborah Ives, Ed.D. Visiting.

Interactive challenges Lesson Plans CCSSM Content Standards: Math in Music Arithmetic with Polynomials and Rational Functions A-APR Perform arithmetic operations on polynomials Use polynomial identities to solve problems Rewrite rational functions Creating Equations A/ one variable CCSSM Content Standards: Math in Videogames Functions A-APR Perform arithmetic operations on polynomials Rewrite rational functions Creating Equations A-CE Create equations that describe numbers or relationships Reasoning with/

##### Length Reduction in Binary Transforms Oren Kapah Ely Porat Amir Rothschild Amihood Amir Bar Ilan University and Johns Hopkins University.

D Point Set Matching: T: (t 1,t 2,…,t n ) P: (p 1,p 2,…,p m ) 2-D Point Set Matching – Searching in Music: Notations: Length of text: N Length of Pattern: M Number of “1”s in text: n Number of “1”s in pattern: m. Idea: Map /Analysis: We could continue this process recursively and analyze probability of clash of masked element with an element that is already there but… More elegant solution: Polynomials over a finite field Consider indices as elements in F 2 L. In F 2 L : x+y = x y. Length Reduction: Every /

##### Computer and Network Security Rabie A. Ramadan Lecture 4.

x) – g(x) = x 3 + x + 1 f(x) x g(x) = x 5 + 3x 2 – 2x + 2 Polynomial Arithmetic with Modulo Coefficients when computing value of each coefficient do calculation modulo some value could be modulo any prime but we are most interested in mod 2/ all that apply) 68 1. Send spam and phishing emails. 2. Harvest and sell email addresses and passwords. 3. Illegally distribute music, movies and software. 4. Distribute child pornography. 5. Infect other systems. 6. Hide programs that launch attacks on other computers. /

##### Support Vector Machines

A plane in this quadratic space is equivalent to a quadratic surface in our original space. Problem & Solution If dimensionality of space is high, lots of calculations For a high polynomial space, combinations of coordinates explodes Need to do all these calculations for all training points, and for each testing point Infinite dimensional spaces impossible Nonlinear surfaces can be used without/

##### Tree Automata for Automatic Language Translation kevin knight information sciences institute university of southern california.

1970; J. Thatcher 1970),, ga S NPVP PRO he VBZ enjoys NP VBG listening VP P to NP SBAR music karekikuongakuowadaisukidesugano Original input:Final output:,,,,,,,, Top-Down Tree Transducer (W. Rounds 1970; J. Thatcher 1970) To get total/ composition Inclusivenesscapture any transformation that a string-based FST can Teachabilitygiven input/output pairs, find locally optimal rule probabilities in low- polynomial time Top-down Tree Transducers S x0x2x1 S VP x2 x0 LNT T – top-down L – linear (non-copying) N/

##### 1 CALCULUS For Business, Economics, and the Social and life Sciences Hoffmann, L.D. & Bradley, G.L. Instructor: Dr. Ken Tsang Room E409-R9

sets the standard of objective truth for all intellectual endeavors, science and technology bear witness to its practical usefulness. Besides language and music, it is one of the primary manifestations of the free creative power of the human mind, and it is the universal / the constant A is the following function continuous for all real x? Solution: Solution: Since Ax+5 and are both polynomials, it follows that f(x) will be continuous everywhere except possibly at x=1. According to the three criteria for /

##### Chapter 1 Introduction. 2 Chapter 1 Objectives Know the difference between computer organization and computer architecture. Understand units of measure.

upon pattern will give a remainder of zero. We see this is so in the calculation at the right. Real applications use longer polynomials to cover larger information strings. –Some of the standard poly- nomials are listed in the text. 2.8 Error Detection and Correction /hundred years. Other media are good for only a decade-- at best. 7.5 Optical Disks 430 CD-ROMs were designed by the music industry in the 1980s, and later adapted to data. This history is reflected by the fact that data is recorded in a single/

##### Universidad de los Andes-CODENSA Basic Applications.

in figure 5. The evaluator chose number 12 as her favorite creation. Although judging art was not as sanity challenging as the music example. Figure 4. The initial 16 fractal art pieces initialized by the GA. Figure 5. The final 16 fractal art / has weights that assume the coefficients of a binomial polynomial with five coefficients. Binomial coefficients of an (N-1)th-order polynomial, or binomial weights of an N element array, are the coefficients of the polynomial given by the Nth row of Pascal’s triangle/

##### Technical University Tallinn, ESTONIA Copyright 2000-2003 by Raimund Ubar 1 Raimund Ubar Tallinn Technical University D&T Laboratory Estonia Design for.

? The best place to start is with a good title. Then build a song around it. (Wisdom of country music) System 16 bit counter & 1 Sequence of 2 16 bits Sea of gates Technical University Tallinn, ESTONIA Copyright 2000-/in BIST Pseudorandom Test generation by LFSR: Using special LFSR registers Several proposals: –BILBO –CSTP Main characteristics of LFSR: –polynomial –initial state –test length Technical University Tallinn, ESTONIA Copyright 2000-2003 by Raimund Ubar 270 Linear Feedback Shift Register (LFSR/

##### Christopher M. Bishop PATTERN RECOGNITION AND MACHINE LEARNING CHAPTER 1: INTRODUCTION Lecturer: Xiaopeng Hong These slides follow closely the course textbook.

closely the course textbook “ Pattern Recognition and Machine Learning ” by Christopher Bishop and the slides “ Machine Learning and Music ” by Prof. Douglas Eck 免责声明 CV PR Feature Extraction Pattern Classification ML Statistical Symbol Contents IPSP Probability Theory Information Theory/ some serious challenges and is an important factor influencing the design of pattern recognition techniques. Curse of Dimensionality Polynomial curve fitting, M = 3 1.5 Decision Theory Determination of p(x, t) from a set /

##### Dr. Introduction to Computing Dr. Pierre Vignéras This work is licensed under a Creative Commons Attribution-Share Alike.

data ● Programs and data (documents) ● Network cards (Ethernet card) – Used to connect several computers ● CD/DVD drives – Read-only storage devices (music, video, data) ● Video Card (3D specialized hardware) – Driven by the CPU to transmit data on screen(s) – Contains a Graphic processor (GPU)/is NP-C if: – it is in NP and it is NP-hard (every other problem in NP is reducible in polynomial time to it) – A reduction is a transformation of one problem into another problem. ● Intuitively, if problem A is /

##### Dr. Introduction to Computing Dr. Pierre Vignéras This work is licensed under a Creative Commons Attribution-Share Alike 2.0 France.

data ● Programs and data (documents) ● Network cards (Ethernet card) – Used to connect several computers ● CD/DVD drives – Read-only storage devices (music, video, data) ● Video Card (3D specialized hardware) – Driven by the CPU to transmit data on screen(s) – Contains a Graphic processor (GPU)/is NP-C if: – it is in NP and it is NP-hard (every other problem in NP is reducible in polynomial time to it) – A reduction is a transformation of one problem into another problem. ● Intuitively, if problem A is /

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