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Video
Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Gödel's theorem Incompleteness theorems
- Resource Type:
- Video
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Video
Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Origami -- Mathematics
- Resource Type:
- Video
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Others
I am fortunate to be among the very first NTU EECS professors to offer two Mandarin-teaching MOOCs (massive open online courses) on NTU@Coursera. The two MOOCs are Machine Learning Foundations (Mathematical, Algorithmic) and Machine Learning Techniques and are based on the textbook Learning from Data: A Short Course that I co-authored. The book is consistently among the best sellers in Machine Learning on Amazon.
The slides of the MOOCs below are available as is with no explicit or implied warranties. The slides themselves are shared by CC-BY-NC 3.0, but the copyright of all materials (figures in particular) remain with the original copyright holder (in almost all cases the authors of the Learning from Data: A Short Course book).
- Course related:
- COMP4432 Machine Learning
- Subjects:
- Computing, Data Science and Artificial Intelligence
- Keywords:
- Machine learning
- Resource Type:
- Others
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Others
ArcGIS Living Atlas of the World is the foremost collection of geographic information from around the globe. It includes maps, apps, and data layers to support your work.
- Subjects:
- Computing, Data Science and Artificial Intelligence and Land Surveying and Geo-Informatics
- Keywords:
- Geospatial data Geographic information systems
- Resource Type:
- Others
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Others
GeoPandas is an open source project to make working with geospatial data in python easier. GeoPandas extends the datatypes used by pandas to allow spatial operations on geometric types. Geometric operations are performed by shapely. Geopandas further depends on fiona for file access and matplotlib for plottin
- Subjects:
- Computing, Data Science and Artificial Intelligence and Land Surveying and Geo-Informatics
- Keywords:
- Python (Computer program language) Geospatial data -- Data processing
- Resource Type:
- Others
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Others
Fuzzy Logic Toolbox™ provides MATLAB® functions, apps, and a Simulink® block for analyzing, designing, and simulating systems based on fuzzy logic. The product guides you through the steps of designing fuzzy inference systems. Functions are provided for many common methods, including fuzzy clustering and adaptive neurofuzzy learning. The toolbox lets you model complex system behaviors using simple logic rules, and then implement these rules in a fuzzy inference system. You can use it as a stand-alone fuzzy inference engine. Alternatively, you can use fuzzy inference blocks in Simulink and simulate the fuzzy systems within a comprehensive model of the entire dynamic system.
- Course related:
- SD5804 Design Research Methods
- Subjects:
- Computing, Data Science and Artificial Intelligence and Mathematics and Statistics
- Keywords:
- Fuzzy systems Fuzzy logic
- Resource Type:
- Others
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Others
Agent based modeling focuses on the individual active components of a system. This is in contrast to both the more abstract system dynamics approach, and the process-focused discrete event method. With agent based modeling, active entities, known as agents, must be identified and their behavior defined. They may be people, households, vehicles, equipment, products, or companies, whatever is relevant to the system. Connections between them are established, environmental variables set, and simulations run. The global dynamics of the system then emerge from the interactions of the many individual behaviors. AnyLogic combines professional discrete event, system dynamics, and agent based modeling in one platform for efficient, no compromise results. In our white paper, Multimethod Simulation Modeling for Business Applications, we investigate these three main simulation modeling approaches and construct a multimethod model example to illustrate the advantages of multimethod simulation modeling. Read the white paper and see why hybrid models are always a better choice!
- Course related:
- CE631 Simulation and IT Applications in Construction
- Subjects:
- Computing, Data Science and Artificial Intelligence and Business Information Technology
- Keywords:
- Multiagent systems Computer simulation System analysis -- Data processing
- Resource Type:
- Others
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Courseware
In this card, we are going to help you understand the general concept of Binary Search.
Binary Search is one of the most fundamental and useful algorithms in Computer Science. It describes the process of searching for a specific value in an ordered collection.
Terminology used in Binary Search:
(1) Target - the value that you are searching for
(2) Index - the current location that you are searching
(3) Left, Right - the indicies from which we use to maintain our search Space
(4) Mid - the index that we use to apply a condition to determine if we should search left or right
- Course related:
- COMP3011 Design and Analysis of Algorithms
- Subjects:
- Computing, Data Science and Artificial Intelligence
- Keywords:
- Computer algorithms
- Resource Type:
- Courseware
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e-book
"This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. This text was adapted from Elementary Algebra and Prealgebra, textbooks originally published by OpenStax."--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebra Textbooks Functions
- Resource Type:
- e-book