supported (except remove + add) - committing multiple files isn’t atomic - no support for hardlinks / symlinks / shortcuts - tagging/**branching** whole trees is hard to do the use **of** diffs: - performance on binary files is terrible - performance decreases with the number **of** commits / department **of** **mathematics** and computer sciencedepartment **of** **mathematics** and computer science technische universiteit eindhoven TU/e when to use CVS CVS is good when you have/

a number **of** **branches**) **of** total production. One third **of** external turn **of** the republic falls to the share **of** Finland. The Republic **of** Karelia Economy Basic industrial centres: Petrozavodsk Kondopoga Segezha Kostomuksha Pitkäaranta The Republic **of** Karelia Culture / students actively take part in the scientific and research activity, they are winners **of** the international and all-Russian contests in the field **of** **mathematics**, programming, physics, law, philology, history, building technologies, medicine, biology./

g A Simple Example Integrating CP and MP **Branch** Infer and Relax Decomposition Recent Success Stories Relaxation Putting it Together Surveys and Tutorials Constraint programming is related to computer programming. **Mathematical** programming has nothing to do with computer / not be assembled consecutively. Etc. Production Line Sequencing at Peugeot/Citroën Problem has two parts Determine number **of** cars **of** each type assigned to each line on each day. Determine sequencing for each line on each day. Problems/

Book President Members 8 **Branches** 9 Panhellenic Conference 10 Εuclides Α’ **Mathematical** Magazine For Junior-High School Students Four issues per year 15.000 copies in circulation 11 Εuclides Β’ **Mathematical** Magazine For Senior-High School Students Four issues per year 7.000 copies in circulation 12 Εuclides γ’ **Mathematical** magazine (general math and didactics **of** **Mathematics**) For teachers and researchers which study didactics **of** **Mathematics** Two issues per year 2/

formally identical to Zamolodchikov’s Thermodynamic Bethe Ansatz + Many connections to **mathematics** …. Moreover, we can construct explicit solutions to Einstein’s equations on M using these functions. One **of** many relations to integrable systems… & They are special ``cluster coordinates’’ on a manifold M closely related to M 37 S-Duality Higgs **branches** Coulomb **branch** & Hitchin moduli Line & Surface defects -backgrounds, Nekrasov partition functions, Pestun/

THEORY IN THE XXth CENTURY. PART I. ECONOMICS IN THE AGE **OF** UNCERTAINTY, 1919-1939 ECONOMICS, **MATHEMATICS** AND PHILOSOPHY IN VIENNA ECONOMICS IN THE WIENER KRIES Manifesto Economics is placed among the five **branches** **of** science that “must conduct an epistemological examination **of** its foundations, a logical analysis **of** its concepts”. A program **of** “purification” **of** metaphysical residuals, an anti- metaphysical attitude Encyclopaedia Economics is defined a social/

“ LP relaxation? N. Ascheuer, M. Fischetti, M. Grötschel, „Solving the Asymmetric Travelling Salesman Problem with time windows by **branch**-and-cut“, **Mathematical** Programming A (2001), see http://www.zib.de/groetschel/pubnew/paper/ascheuerfischettigroetschel2001.pdf Martin Grötschel 46 IP formulation **of** the asymmetric TSP Time Windows This is a typical situation in delivery problems. Customers must be served during a certain/

Directorate Automation, Robotics and Simulation Division Commentary on: A **Mathematical** Programming Algorithm for Planning and Scheduling an Earth Observing SAR Constellation David Kortenkamp NASA Johnson Space Center TRACLabs Inc. Houston TX 77058 kortenkamp@jsc.nasa.gov Intelligent Systems **Branch** Johnson Space Center Engineering Directorate Automation, Robotics and Simulation Division Pushing the assumptions Assumption **of** independent and homogeneous satellites –What if we have two/

**branches**. DE Great Idea TO DE B A D’ Assumption/ Injection D C Strategy 4. Listing DEs 27 © 2007 U Nagarkatte / TOCICO. All rights reserved. TOCICO 2007 Conference 1.The instructor moves too fast for students. 2.The instructor cannot teach. 3.Students are not capable **of** doing **mathematics**/to The presenters are also indebted to MEC President Edison Jackson – for recognizing that implementation **of** TOC in the Department **of** **Mathematics** is, in fact, a college-wide endeavor. Francis Su for letting us use her /

THEIR MEANINGS NOTE 3 : REFER THE DICTIONARY WHEN YOU COME ACROSS A NEW TERM. 9/3/2015 Department **of** **Mathematics**,UOM 9/3/2015 Department **of** **Mathematics**,UOM Geometry A perspective from different cultures Beauty **of** Geometry 9/3/2015 Department **of** **Mathematics**,UOM What is Geometry? Geometry is the **branch** **of** **mathematics** that is concerned with points, lines, surfaces and solids, and their relation to each other. E.g/

Switching System Erna Schneider earned a Ph.D. in the philosophy and foundations **of** **mathematics** from Yale University. In 1954, after teaching for a number **of** years at Swarthmore College, she began a research career at Bell Laboratories. While/ the competition for light controls the density **of** **branches** in the tree crowns. Reception Internal processes Response Plant Response Internal processes Reception Environment 92 Apropos adaptive reactive systems: "Whats the color **of** a chameleon put onto a mirror?" -/

g are nonlinear) What is Discrete Optimization? Discrete Optimization is a field **of** applied **mathematics**, combining techniques from combinatorics and graph theory, linear programming, theory **of** algorithms, to solve optimization problems over discrete structures. Solution Methods for Discrete/subset if the bound indicates that it can’t contain an optimal solution. Summary **of** **branch**-and-bound Steps for each iteration: 1)**Branching**: Among the unfathomed subproblems, select the one that was created most recently. /

A D B E C F (2N - 3)!! = # unrooted trees for N taxa Each unrooted tree theoretically can be rooted anywhere along any **of** its **branches** Molecular phylogenetic tree building methods **Mathematical** and/or statistical methods for inferring the divergence order **of** taxa, as well as the lengths **of** the **branches** that connect them. There are many phylogenetic methods available, each with strengths and weaknesses. Types/

be proved as follows: from P we obtain P Q by the rule **of** Addition; then from P Q and ~P we obtain Q by the rule **of** Disjunctive Syllogism. Because **of** this, and because set theory underlies all **branches** **of** **mathematics**, many people began to worry that, if set theory was inconsistent, no **mathematical** proof could be trusted completely. Russells paradox ultimately stems from the idea/

Kennesaw State University **Mathematics** Competition Participation: 112/School Dunwoody High School East Jackson Comprehensive High School Etowah High School Fellowship Christian School Flowery **Branch** High School Forest Park High School Forsyth Central High School Gilmer High School Glenn Hills /School Northview High School Northwest Whitfield High School Ola High School Osborne High School Our Lady **of** Mercy Catholic High School Peachtree Ridge High School Piedmont Academy Pope High School Riverside Military /

be proved as follows: from P we obtain P Q by the rule **of** Addition; then from P Q and ~P we obtain Q by the rule **of** Disjunctive Syllogism. Because **of** this, and because set theory underlies all **branches** **of** **mathematics**, many people began to worry that, if set theory was inconsistent, no **mathematical** proof could be trusted completely. Russells paradox ultimately stems from the idea/

been achieved. Percentage **of** schools targeted for the provision **of** exemplars and other tools to support ANA preparation40% The DBE produced 680 different exemplars in **Mathematics** and Languages for Grades/**of** quarterly milestones for annual targets Quarterly **Branch** reviews with managers on reported achievements Tracking **of** all indicators (including annual) using robot colour coding system on a quarterly basis Detailed feedback on reporting to **Branches** upon receipt **of** **Branch** Quarterly Reports Sign off - **Branch**/

Math-e-ma-tics, n. 1. Physical **mathematics** is a fusion **of** **mathematical** and physical ideas, motivated by the dual, but equally central, goals **of** elucidating the laws **of** nature at their most fundamental level, together with discovering deep **mathematical** truths. Brit. /ˈfɪzᵻkl ˌmaθ(ə)ˈmat/equivalent to knowing IJ (u). General d=4, N =2 Theories 1. A moduli space B **of** quantum vacua, (a.k.a. the ``Coulomb **branch**’’). The low energy dynamics are described by an effective N =2 abelian gauge theory. 2.The Hilbert /

Data Representation Automated data Processing Binary Data representation **Mathematical** operations Boolean Algebra Hexadecimal Notation Compactness Accuracy Range Ease manipulation/ Instruction Registers Instruction Pointer Program status Word CPU Registers Store the result **of** comparison operation Control additional **branch** execution Indicate actual or potential error condition PSW primary uses Factors affecting electronics or computer component Heat Resistance Conductivity/

account all estimated probabilities u Whats θ? u Keeps from overtraining; adapt quickly to changing behavior 12 Organization **of** the Perceptron Predictor u Keeps a table **of** m perceptron weights vectors u Table is indexed by **branch** address modulo m [Jiménez & Lin, HPCA 2001] 13 **Mathematical** Intuition A perceptron defines a hyperplane in n+1-dimensional space: For instance, in 2D space we have/

Rule Based Systems Tools Constraint Propagation Systematic Search Stochastic Search Pros / Cons Rich Representations Computational Complexity OR Representations **Mathematical** Modeling Languages Linear & Non-linear (In)Equalities Tools Linear Programming Mixed-Integer Prog. Non-linear Models Pros/ the linear relaxation might have all variables integral - but the AllDifferent constraint can be violated by this set **of** values In this case, **branch** to keep them apart either X Y - 1 or Y X - 1 134 The Variables /

Test Design Contrast: Current ISAT Design [**Mathematics**] Content area: **Mathematics** is the trunk/whole tree Standard 1: Number and Operations [a big **branch**] Goal 2: Understand and use numbers [smaller **branch**] Objective 3: Count value **of** collection **of** bills and coins up to $10/assessment targets. Targets are formed and informed by one or more standards or parts **of** standards or **mathematical** practices. This reflects the integrated nature **of** the CCSS-seeing how multiple skills can be assessed in concert as in the /

left side is 1 The right is Induction step: Assume Proof Computation models Finite automata Pushdown automata Turing machine 3 Styles **of** **Mathematical** Proofs Proof by construction Proof by contradiction Proof by induction Proof by induction Try to prove the statement P(k) is /to level 2,… Simulate NTM 1: first **branch**, 2: second **branch**, etc 1 1 1: first **branch**, 2: second **branch**, etc 121: take the first **branch** at level 2, then take the second at level 3, then take the first **branch** at level 4. Control a a a /

+ a&y = (~x + ~y)&x + (~x + ~y)&y = x&~y + ~x&y Axiomatic and **mathematical** transformation **of** expressions to reach the specification This is a **mathematical** proof ! x y a b c z RTL Simulation Semantics D delay model each operation takes negligible time operations are scheduled in / Example **of** transformation S … assignment S’ … conditional **branch** If program is a conditional **branch** if(c) I; else I’;, C (p, g) is generally described as Apply this rule Example **of** transformation Assertion Computation **of** P formula/

knowing IJ (u). General d=4, N =2 Theories 1. A moduli space B **of** quantum vacua, (a.k.a. the ``Coulomb **branch**’’). The low energy dynamics are described by an effective N =2 abelian gauge theory. 2./. Conclusions: Main Messages 2. This progress has involved nontrivial and surprising connections to other aspects **of** Physical **Mathematics**: Hyperkahler geometry, cluster algebras, moduli spaces **of** flat connections, Hitchin systems, instantons, integrable systems, Teichműller theory, … Conclusions: Main Messages/

is virtuous while the executive is usually wicked (cont.d) Objection: judgment **of** just & lawful use **of** force by one **branch** **of** government at the expense **of** another **branch** is often decided by power, not by justice & law. When there is/the infinitesimal concept useful even essential for developing the differential calculus. The concept, while **mathematically** unsound, proved useful to the rapid development **of** **mathematical** analysis Both the infinitely large and its inverse, the infinitely small, cause headaches. /

statistics applied in the finance and insurance field. Operations Research: It is an interdisciplinary **branch** **of** **mathematics** that uses advanced analytical methods such as **mathematical** modelling and **mathematical** optimization to arrive at optimal solutions to complex decision-making problems. The operation research analyst requires an advanced knowledge **of** **mathematics** and better computer skills. Computer sciences: The mathematicians with their training in logical and precise thinking are highly/

on (see [4,6,7,9,10,11]) Fuzzy set theory and topology, Fuzzy system and fuzzy control, Lattice theory, Locale theory ( with dual objects **of** frames -- **mathematical** model **of** intuitional logic ), Domain theory ( a **branch** **of** theoretical computer science, model **of** denotational semantics in formal semantics ) ; 19 Including Multiple Choice Principle ( Liu, 1977-1980 ), Stratified structure analysis ( Liu, Luo, 1985-1998 ), Dimension deduction ( Liu, Li/

called a population) **of** **mathematical** objects (typically fixed-length binary character strings), each with an associated fitness value, into a new population **of** offspring objects using the Darwinian principle **of** natural selection and /IDENTIFICATION PROBLEM in-sample correlation **of** 0.976 out-**of**-sample correlation **of** 0.968 out-**of**-sample error rate 1.6% AUTOMATICALLY DEFINED LOOP (ADL) loop initialization **branch**, LIB loop condition **branch**, LCB loop body **branch**, LBB loop update **branch**, LUB ADL COMPUTER PROGRAMS /

ProgrammingInteger Linear Programming –Definition –Formulation –Complexity –**Branch** and & Bound Introduction best resultOptimization is the act **of** obtaining the best result under given circumstances. Optimization can be defined as the process **of** finding the conditions that: maximum – Give the maximum **of** a function, or minimum – Give the minimum **of** a function. The optimum seeking methods are also known as **mathematical** programming techniques and are generally studied as/

the addition and subtraction before the multiplication and division. Understanding **Mathematics** You understand a piece **of** **mathematics** if you can do all **of** the following: Explain **mathematical** concepts and facts in terms **of** simpler concepts and facts. Easily make logical connections between /Mind Mapping for a Procedure The name **of** the math procedure should be the center **of** the map (ex. Writing Mixed Numbers (2 ½) as an Improper Fraction). Each main **branch** off the center **of** the map should have printed on it/

reserved. All content in this presentation is the proprietary property **of** The Institute for the Professional Development **of** Adult Educators **Mathematical** Reasoning Most Missed Items Algebraic Reasoning Solve One-variable linear equations/ with multiple factors Separation **of** Powers. The Constitution created three **branches** **of** government. The President runs the executive **branch**, Congress controls the legislative **branch**, and the Supreme Court heads the judicial **branch**. Each **branch** **of** the government is separate /

Study Guide Terms to know: Environmental science Meteorology Geochemistry Astronomy Oceanography Physical Model Conceptual model Scientific methods Volume Temperature Density Physical geography Paleontologist Seismologist Geology Model **Mathematical** model Theory Meter Mass Area variable Short Answer: Describe the 4 major **branches** **of** Earth Science. Describe the 4 areas **of** oceanography. Describe the steps **of** the scientific method. Interpret a **mathematical** graph. Explain the advantages **of** using SI units.

changes its velocity. And power - the rate at which work is done on an object. In every case **of** a rate quantity, the **mathematical** equation involves some quantity over time.velocityAccelerationpower Electric current refers to the rate at which charge passes a given point /First Law, nine amperes must come out **of** junction A. A 9 amp 6 amp 3 amp example The diagram shows the current in three **of** the **branches** **of** a direct current electric circuit. The current in the fourth **branch**, between junction P and point W, /

it. 27 Example: Unary Addition Axiom: Productions: 28 A production: 29 Post systems are good for proving **mathematical** statements from a set **of** Axioms. 30 Theorem: A language is recursively enumerable if and only if a Post system generates it. 31 Rewriting/Stage 11 : E C A A D A D D B 46 Example - a compound leaf (or **branch**) Leaf1 { ; Name **of** the l-system, "{" indicates start ; Compound leaf with alternating **branches**, angle 8 ; Set angle increment to (360/8)=45 degrees axiom x ; Starting character string a/

45D. Repovš, Topology and Chaos TOPOLOGY AND CHAOS TOPOLOGY AND CHAOS Poincaré developed topology and exploited this new **branch** **of** **mathematics** in ingenious ways to study the properties **of** differential equations. Ideas and tools from this **branch** **of** **mathematics** are particularly well suited to describe and to classify a restricted but enormously rich class **of** chaotic dynamical systems, and thus the term chaos topology refers to the description/

one is learning. How to Read to Learn Math Understanding **Mathematics** You understand a piece **of** **mathematics** if you can do all **of** the following: Explain **mathematical** concepts and facts in terms **of** simpler concepts and facts. Easily make logical connections between different facts/ Concepts Mind Mapping for a Procedure The name **of** the math procedure should be the center **of** the map (ex. Writing Mixed Numbers (2 ½) as an Improper Fraction). Each main **branch** off the center **of** the map should have printed on it a /

statistics. Next Steps Further consultation with stakeholders including: Teachers ACAT **Mathematics** Articulation Committee Math Advisory Committee Math Roundtable **Mathematics** Council **of** the Alberta Teachers’ Association Completion **of** the WNCP CCF for 10-12 **Mathematics** – January 2008 Development the Alberta Program **of** Studies for 10-12 **Mathematics** – June 2008 Contacts Kathy McCabe, Program Manager, K-12 **Mathematics**, Curriculum **Branch**, Alberta Education, E-mail: Kathy.McCabe@gov.ab.ca Tel: (780/

end **of** 19 th century) George Boole and others, Algebraic structure **of** formulas, Boolean algebra The **Mathematical** School (early 20 th century) The Hilbert program: formalization **of** all **of** **mathematics** with a proof **of** consistency/**branch** **of** the tree. Go in that direction. Proof Idea: Find an infinite **branch** **of** the tree. Go in that direction. Konig’s Infinity Lemma Proof Idea: Find an infinite **branch** **of** the tree. Go in that direction. Konig’s Infinity Lemma Proof Idea: Find an infinite **branch** **of**/

J. Brouwer (1882 – 1966) also posed the question **of** whether 1000 consecutive zeroes appear in the decimal expansion **of** π (see Eves, In **Mathematical** Circles: A Selection **of** **Mathematical** Stories and Anecdotes p. 31). If it could be / Engineer; Dean Harold Pender, Moore School **of** Electrical Engineering, University **of** Pennsylvania; General G. M. Barnes, Chief **of** the Ordnance Research and Development Service; Colonel Paul N. Gillon, Chief, Research **Branch** **of** the Army Ordnance Research and Development Service./

loosely define a religion as any discipline whose foundations rest on an element **of** faith, irrespective **of** any element **of** reason which may be present. Quantum mechanics for example would be a religion under this definition. But **mathematics** would hold the unique position **of** being the only **branch** **of** theology possessing a rigorous demonstration **of** the fact that it should be so classified. Non-Aristotelian logics 1.Many/

s is ordered d. getItem left k = Just(k, d) induction hyp: left s P(left) getItem s k = getItem left k searchKey key **branch** **of** if-then getItem s k = Just(k, d) both sides = (getItem left k) Case 3. k x — like Case 2, but use P(right) CS 1813 Discrete **Mathematics**, Univ Oklahoma Copyright © 2000 by Rex Page 12 End/

come up with algorithms to check whether some inference is valid or not). Axiomatization In fact, why not do this: Express basic axioms and definitions about various **branches** **of** **mathematics** in logic, and simply run an ATP to automatically prove all theorems about any **branch** **of** **mathematics**! This ambitious project was called the Hilbert Program, after the mathematician David Hilbert who proposed it at the turn/

Speedcoding developed by Backus in 1954 for IBM 701 Pseudo ops for arithmetic and math functions –Conditional and unconditional **branching** –Auto-increment registers for array access –Slow! –Only 700 words left for user program Copyright © 2007 /Addison-Wesley. All rights reserved.1-709 Compound Terms Atomic propositions consist **of** compound terms Compound term: one element **of** a **mathematical** relation, written like a **mathematical** function –**Mathematical** function is a mapping –Can be written as a table Copyright ©/

reserves related to cumulative preferred shares Profit brought forward from previous years Difference between value **of** **mathematical** reserves excluding from its calculation actual cost **of** insurance acquisition and value **of** **mathematical** reserves including in its calculation actual cost **of** acquisition, whereby actual costs **of** acquisition in calculation **of** **mathematical** reserves must not exceed 3.5% **of** sum insured Investments in subordinated debt instruments and other investments in companies referred to/

called a population) **of** **mathematical** objects (typically fixed-length binary character strings), each with an associated fitness value, into a new population **of** offspring objects using the Darwinian principle **of** natural selection and /IDENTIFICATION PROBLEM in-sample correlation **of** 0.976 out-**of**-sample correlation **of** 0.968 out-**of**-sample error rate 1.6% AUTOMATICALLY DEFINED LOOP (ADL) loop initialization **branch**, LIB loop condition **branch**, LCB loop body **branch**, LBB loop update **branch**, LUB ADL COMPUTER PROGRAMS /

**branch** **of** physics deals with the causes **of** motion. **Branches** **of** Physics Study **of** why things move or dont move in a certain way. This **branch** **of** physics deals with a quantity called “net force”, which determines whether something accelerates or doesnt accelerate. This **branch** **of** physics deals with the causes **of** motion. Dynamics **Branches** **of** Physics Study **of**/left and right sides: (**mathematically** legal) Deriving the Big Five Constant Acceleration Formulas (1) One more formula with acceleration in terms **of** v 1, v 2 /

these theories. Conclusions: Main Messages 2. This progress has involved nontrivial and surprising connections to other aspects **of** Physical **Mathematics**: Hyperkähler geometry, cluster algebras, moduli spaces **of** flat connections, Hitchin systems, instantons, integrable systems, Teichmüller theory, … 85 S-Duality and the modular groupoid Higgs **branches** AGT: Liouville & Toda theory -backgrounds, Nekrasov partition functions, Pestun localization. Cluster algebras Z(S 3 x S/

sometimes just as a characteristically philosophical method applying to all **branches** **of** philosophy. 2.What is the relationship between philosophy and **mathematics**? The philosophy **of** **mathematics** is a **branch** **of** philosophy **of** science; but in many ways **mathematics** has a special relationship to philosophy. This is because the study **of** logic is a central **branch** **of** philosophy, and **mathematics** is a paradigm example **of** logic. In the late nineteenth and twentieth centuries logic made/

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