Euler - Study guides, Class notes & Summaries
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Euler paths & circuits
- Other • 4 pages • 2024
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Euler paths and circuits worksheet
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BSC. MATHEMATICS AND COMPUTER SCIENCE
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BSC. MATHEMATICS AND COMPUTER SCIENCE 
 
Unit I 
Logic: Propositional equivalence, predicates and quantifiers, Methods of proofs, proof 
strategy, sequences and summation, mathematical induction, recursive definitions and 
structural induction, program correctness. 
Counting: The basics of counting, the pigeonhole principle, permutations and 
combinations, recurrence relations, solving recurrence relations, generating functions, 
inclusion-exclusion principle, application of inclusion-exclusion....
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MODERN ROBOTICS MECHANICS, PLANNING, AND CONTROL
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Preview 1 
2 Configuration Space 11 
2.1 Degrees of Freedom of a Rigid Body . . . . . . . . . . . . . . . . 12 
2.2 Degrees of Freedom of a Robot . . . . . . . . . . . . . . . . . . . 15 
2.2.1 Robot Joints . . . . . . . . . . . . . . . . . . . . . . . . . 16 
2.2.2 Gr¨ubler’s Formula . . . . . . . . . . . . . . . . . . . . . . 17 
2.3 Configuration Space: Topology and Representation . . . . . . . . 23 
2.3.1 Configuration Space Topology . . . . . . . . . . . . . . . . 23 
2.3.2 Configuration...
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An introduction to Complex Numbers - Jan van de Craats, Amsterdam University 2022
- Summary • 41 pages • 2023
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An introduction to Complex Numbers 
Jan van de Craats, Amsterdam University 2022 
 
1 Calculating with complex numbers 2 
Square roots of negative numbers . . . . . . . . . . . . . . . . . . . . 3 
The abc-formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 
The complex plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 
Multiplication and division . . . . . . . . . . . . . . . . . . . . . . . 7 
Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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Mathematics for Physical Science and Engineering: Symbolic Computing Applications in Maple and Math
- Exam (elaborations) • 401 pages • 2024
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Contents 
0 Introduction 1 
1 Computers, Science, and Engineering 3 
1.1 Computing: Historical Note ��������������������������������������������������������������������� 3 
1.2 Basics of Symbolic Computing ����������������������������������������������������...
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On a cross-diffusion system arising in image denosing
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We study a generalization of a cross-diffusion problem deduced from a nonlinear complex- 
variable diffusion model for signal and image denoising. 
We prove the existence of weak solutions of the time-independent problem with fidelity 
terms under mild conditions on the data problem. Then, we show that this translates on 
the well-posedness of a quasi-steady state approximation of the evolution problem, and also 
prove the existence of weak solutions of the latter under more restrictive hypothes...
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Euler paths and circuits worksheet
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Euler paths and worksheets first part
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Theory of Flight Complete Solutions Graded A+
- Exam (elaborations) • 14 pages • 2023
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Relative airflow - ANSWER This is the airflow that approaches the wing directly opposite the wing's direction of motion. 
 
Angle of Incidence - ANSWER This is the angle at which the wing is mounted to the fuselage. It is measured between the chord line and the aircraft's longitudinal axis or horizontal datum line. 
 
With the right angle of incidence (most planes have a + angle of incidence) we can improve flight visibility, enhance takeoff and landing characteristics, and reduce drag in lev...
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Test Banks For Introduction to Robotics: Mechanics and Control 4th Edition by John J. Craig, 9780133489798, Chapter 1-13 Complete Guide
- Exam (elaborations) • 157 pages • 2022
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Introduction to Robotics: Mechanics and Control 4th Edition 
 
9798 
 
9835 
 
1 Introduction 
 
1.1 Background 
 
1.2 The Mechanics and Control of Mechanical Manipulators 
 
1.3 Notation 
 
2 Spatial Descriptions and Transformations 
 
2.1 Introduction 
 
2.2 Descriptions: Positions, Orientations, and Frames 
 
2.3 Mappings: Changing Descriptions from Frame to Frame 
 
2.4 Operators: Translations, Rotations, and Transformations 
 
2.5 Summary of Interpretations 
 
2.6 Transformation Arithmetic ...
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AU MATH 376 STUDY GUIDE ORDINARY DIFFERENTIAL EQUATIONS NEW UPDATED SOLUTION FOR THE COMING 2022-2023 EXAM Athabasca University
- Exam (elaborations) • 263 pages • 2022
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AU MATH 376 STUDY GUIDE ORDINARY DIFFERENTIAL EQUATIONS NEW UPDATED SOLUTION FOR THE COMING 2022-2023 EXAM Athabasca University 
Contents 
Introduction	1 
Some Preliminary Remarks	2 
Part I: First-order Differential Equations	9 
1	Introducing Ordinary Differential Equations	11 
1.1	Solutions: Complete, General, Particular, Partial	12 
1.2	Methods for Solving Ordinary Differential Equations	14 
1.3	The Fundamental Theorem	15 
1.4	Direction Fields	18 
2	Directly Integrable Ordinary Differential 
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