This document discusses computational topology and its applications in computer graphics. It introduces key concepts in topology such as homeomorphisms, genus, orientability, and Morse theory. Topology studies properties of shapes that are preserved under continuous deformations. Morse theory analyzes the topology of a surface by investigating the critical points of functions defined on the surface, such as the height function. Reeb graphs provide a way to schematically represent a Morse function and reveal topological properties of the shape like its genus. Computational topology techniques can be used for applications like shape matching, surface reconstruction from point clouds, and mesh partitioning.
This document provides a summary of key concepts in trigonometry and functions for a third year math session:
1. It reviews concepts like the unit circle, reference angles, trigonometric ratios (SOH CAH TOA), trigonometric functions, and transformations of trigonometric graphs.
2. It provides examples of using trigonometric identities, finding trig function values of angles in degrees and radians, and the periodic nature of sine and cosine.
3. It also reviews right triangle theorems like Pythagorean theorem, 30-60-90 triangle theorems, and the 45-45-90 triangle as well as the domain and range of quadratic functions.
This document provides a summary of key concepts in trigonometry and functions for a third year math session:
1. It reviews concepts like the unit circle, reference angles, trigonometric ratios (SOH CAH TOA), and trigonometric function values for common angles.
2. It discusses trigonometric identities, periodicity of sine and cosine functions, and features of the sine graph like amplitude, period, and shifts.
3. It provides examples and problems involving trigonometric functions, intercepts, roots, composites functions, inverses, and graphing functions.
The document provides an overview of the structure and content covered on the AP Calculus AB exam, including:
- The exam is 3 hours 15 minutes long and divided into multiple choice and free response sections testing limits, derivatives, integrals, and applications of calculus.
- Content topics covered include limits of functions, continuity, derivatives and their applications (related rates, max/min problems), integrals, and differential equations.
- Formulas and strategies are provided for evaluating limits, finding derivatives using various rules, applying derivatives to sketch curves, solve optimization problems, and solve motion problems using related rates.
This document provides an overview of the topics that will be covered in a finite mathematics course, including residue arithmetic, elements of finite groups/rings/fields, number theory concepts like the Euclidean algorithm and Chinese Remainder Theorem, and basics of finite vector spaces and fields. The style of the course will be leisurely and discursive, focusing on mathematical thinking and discovery. While the mathematics is classical, it will be new to students. The goal is to emphasize elegance and aesthetics over utility alone.
ODSC India 2018: Topological space creation & Clustering at BigData scaleKuldeep Jiwani
Kuldeep Jiwani's presentation discusses topological spaces and manifolds for modeling high-dimensional data geometries, and how this relates to clustering large datasets. It introduces topological spaces, metric spaces, manifolds, and their properties. It then discusses using global and local manifolds to model data geometries for clustering. The presentation also covers building distance matrices for large datasets in a distributed manner using optimizations like reducing shuffles, sparsity, and cut-offs. It concludes with using GraphX/GraphFrames to implement distributed DBSCAN clustering on the graph representation.
Convex Partitioning of a Polygon into Smaller Number of Pieces with Lowest Me...Kasun Ranga Wijeweera
The document describes an algorithm for convex partitioning of a polygon into the smallest number of convex pieces with the lowest memory consumption. The algorithm finds primary sectors by drawing line segments between reflex vertices, ensuring the segments do not intersect polygon edges or contain interior vertices. Secondary sectors are found by intersecting primary sectors. The algorithm runs in O(n3) time and O(n2) space, producing fewer convex pieces than prior algorithms with the same time complexity while using less memory. Key steps include representing the polygon, finding reflex vertices, testing intersections, and computing sector endpoints.
This lecture covers several topics in geometric algorithms:
- An optimal parallel algorithm for computing the 2D convex hull problem in O(n log n) time using O(n) work.
- Applications of the 2D convex hull algorithm to problems like range searching and geometric intersection finding.
- The use of techniques like sweep lines and space partitioning trees to solve higher dimensional geometric problems efficiently.
This document provides a summary of key concepts in trigonometry and functions for a third year math session:
1. It reviews concepts like the unit circle, reference angles, trigonometric ratios (SOH CAH TOA), trigonometric functions, and transformations of trigonometric graphs.
2. It provides examples of using trigonometric identities, finding trig function values of angles in degrees and radians, and the periodic nature of sine and cosine.
3. It also reviews right triangle theorems like Pythagorean theorem, 30-60-90 triangle theorems, and the 45-45-90 triangle as well as the domain and range of quadratic functions.
This document provides a summary of key concepts in trigonometry and functions for a third year math session:
1. It reviews concepts like the unit circle, reference angles, trigonometric ratios (SOH CAH TOA), and trigonometric function values for common angles.
2. It discusses trigonometric identities, periodicity of sine and cosine functions, and features of the sine graph like amplitude, period, and shifts.
3. It provides examples and problems involving trigonometric functions, intercepts, roots, composites functions, inverses, and graphing functions.
The document provides an overview of the structure and content covered on the AP Calculus AB exam, including:
- The exam is 3 hours 15 minutes long and divided into multiple choice and free response sections testing limits, derivatives, integrals, and applications of calculus.
- Content topics covered include limits of functions, continuity, derivatives and their applications (related rates, max/min problems), integrals, and differential equations.
- Formulas and strategies are provided for evaluating limits, finding derivatives using various rules, applying derivatives to sketch curves, solve optimization problems, and solve motion problems using related rates.
This document provides an overview of the topics that will be covered in a finite mathematics course, including residue arithmetic, elements of finite groups/rings/fields, number theory concepts like the Euclidean algorithm and Chinese Remainder Theorem, and basics of finite vector spaces and fields. The style of the course will be leisurely and discursive, focusing on mathematical thinking and discovery. While the mathematics is classical, it will be new to students. The goal is to emphasize elegance and aesthetics over utility alone.
ODSC India 2018: Topological space creation & Clustering at BigData scaleKuldeep Jiwani
Kuldeep Jiwani's presentation discusses topological spaces and manifolds for modeling high-dimensional data geometries, and how this relates to clustering large datasets. It introduces topological spaces, metric spaces, manifolds, and their properties. It then discusses using global and local manifolds to model data geometries for clustering. The presentation also covers building distance matrices for large datasets in a distributed manner using optimizations like reducing shuffles, sparsity, and cut-offs. It concludes with using GraphX/GraphFrames to implement distributed DBSCAN clustering on the graph representation.
Convex Partitioning of a Polygon into Smaller Number of Pieces with Lowest Me...Kasun Ranga Wijeweera
The document describes an algorithm for convex partitioning of a polygon into the smallest number of convex pieces with the lowest memory consumption. The algorithm finds primary sectors by drawing line segments between reflex vertices, ensuring the segments do not intersect polygon edges or contain interior vertices. Secondary sectors are found by intersecting primary sectors. The algorithm runs in O(n3) time and O(n2) space, producing fewer convex pieces than prior algorithms with the same time complexity while using less memory. Key steps include representing the polygon, finding reflex vertices, testing intersections, and computing sector endpoints.
This lecture covers several topics in geometric algorithms:
- An optimal parallel algorithm for computing the 2D convex hull problem in O(n log n) time using O(n) work.
- Applications of the 2D convex hull algorithm to problems like range searching and geometric intersection finding.
- The use of techniques like sweep lines and space partitioning trees to solve higher dimensional geometric problems efficiently.
The document discusses various topics in mathematics including:
1) Different types of numbers such as rational, irrational, integers, and imaginary numbers.
2) Tests for divisibility such as being divisible by 2, 5, 10, 3, 4, 6, and 9.
3) Geometric topics such as the properties of triangles, quadrilaterals, circles, angles, and transformations of graphs.
4) Algebraic concepts such as functions, exponents, radicals, and equations of lines.
5) Probability and statistics definitions including mean, median, mode, and average.
This document provides an overview of common algorithms and data structures. It begins by defining an algorithm and discussing algorithm analysis techniques like asymptotic analysis. It then covers basic data structures like arrays, linked lists, stacks, queues, and trees. It explains various sorting algorithms like selection sort, bubble sort, insertion sort, quicksort, and mergesort. It also discusses search techniques like binary search and binary search trees. Other topics covered include priority queues, hashing, graphs, graph traversal, minimum spanning trees, shortest paths, and string searching algorithms.
Transform as a vector? Tying functional parity with rotation angle of coordin...SayakBhattacharjee4
Oral presentation for Undergraduate Session VII of the American Physical Society (APS) March Meeting 2020: {http://meetings.aps.org/Meeting/MAR20/Session/F12.12}.
This document provides information about various concepts in analytic geometry including:
- Points, lines, planes, line segments, circles, angles, polygons, and their definitions.
- Finding midpoints, distances between points, slopes and inclinations of lines.
- Calculating slopes, tangents of angles, and the angle between two lines.
- Examples are provided to demonstrate finding midpoints, distances, slopes, angles, and solving geometric problems using coordinate systems.
Futher pure mathematics 3 hyperbolic functionsDennis Almeida
This document provides an overview of hyperbolic functions including:
- Their definition in terms of exponential functions compared to circular/trigonometric functions defined using the unit circle.
- Graphs and properties of the six main hyperbolic functions (sinh, cosh, tanh, sech, coth, cosech) derived using exponential definitions and relationships between functions.
- Typical session structure includes introducing hyperbolic functions, defining the six functions, proving identities, and example exam questions.
This instructional material provides resources to teach various math concepts. It includes fraction walls, number lines, algebra tiles, and other tools to teach fractions, integers, algebra, geometry, and more. The material aims to help students easily review basic concepts, identify skills, and master problems involving various math topics through hands-on learning with the provided materials.
Kinematics is the study of how robotic manipulators move. It describes the relationship between actuator movement and resulting end effector motion. Understanding a robot's kinematics, including its number of joints, degrees of freedom, and how parts are connected, is necessary for controlling its movement. Forward kinematics determines the end effector position from joint angles, while inverse kinematics finds required joint angles for a given end effector position. Homogeneous transformations provide a general mathematical approach for solving kinematics equations using matrix algebra.
A graph is a data structure consisting of vertices and edges connecting the vertices. Graphs can be directed or undirected. Depth-first search (DFS) and breadth-first search (BFS) are algorithms for traversing graphs by exploring neighboring vertices. DFS uses a stack and explores as far as possible along each branch before backtracking, while BFS uses a queue and explores all neighbors at each depth level first before moving to the next level.
Towards an area datatype for OSM - State of the Map 2013OSMFstateofthemap
This document discusses problems with how polygons are represented in OpenStreetMap and proposes a new area datatype to address these issues. Specifically, it notes that there are currently multiple ways to define polygons that make them difficult to understand, edit, and use. The proposed area datatype would provide a single representation for polygons and make them easier to validate and work with programmatically. It outlines high-level considerations for what such a datatype might look like and how existing polygon data could be migrated to the new format.
The document presents an algorithm to find the visible region of a polygon in O(n^2) time and O(n) space. It first finds the visible vertices region by checking each vertex for intersections with edges in O(n^2) time. It then extends this region to the full visible region by considering gaps between visible vertices and finding intersection points of extreme lines in O(n) time. The algorithm avoids issues with existing approaches and produces the exact visible region without unnecessary points.
TIU CET Review Math Session 6 - part 2 of 2youngeinstein
1. The document provides a review of math concepts for a college entrance exam, including functions, trigonometric functions, exponential and logarithmic functions.
2. It reviews concepts like evaluating functions, adding and composing functions, finding roots and intercepts of functions, and properties of trigonometric, exponential and logarithmic functions.
3. The document provides examples and problems to solve related to these various math concepts as a study guide for the exam.
Depth first traversal(data structure algorithms)bhuvaneshwariA5
The document discusses depth-first search (DFS) algorithms for graphs. It explains that DFS traverses a graph in a depthward motion using a stack. It explores all adjacent unvisited nodes, marks them as visited, and pushes them onto the stack before backtracking. The document provides pseudocode for DFS and an example of applying it to a graph. It also discusses uses of DFS in finding connected components, biconnectivity, and strongly connected components in graphs.
This document provides an overview of different techniques for representing polygon meshes and parametric curves. It discusses explicit representations of polygon meshes using vertex and edge lists, as well as parametric cubic curves including Hermite, Bezier, and B-spline curves. It describes how each technique represents the geometry and constraints, and properties such as continuity and invariance. Key topics covered include representations of polygon meshes, Hermite curves defined by endpoints and tangents, Bezier curves defined by control points, and B-spline curves having local control and smooth joins.
Interpolation is a method for determining continuous values between discrete data points. Linear interpolation uses a weighted average to determine intermediate values between two known points along a straight line. Bilinear and bicubic interpolation generalize this concept to two and higher dimensions by interpolating between multiple known points. Interpolation has applications in image resizing, morphing, and synthesizing continuous values from discrete samples.
This document discusses nonlinear dynamics and chaos. It begins with an overview of key concepts in chaos like fractals, self-similarity, and dependence on initial conditions. It then provides a brief history of the field, covering contributions from Newton, Poincare, Lorentz, and others. The document proceeds to discuss logistic equations and bifurcations. It provides examples of fixed points, phase portraits, and bifurcation diagrams. It also covers modeling population dynamics and insect outbreaks using logistic growth equations.
Elliptic curve cryptography uses elliptic curves over finite fields to provide security for encryption, digital signatures, and key exchange. The security of ECC relies on the difficulty of solving the elliptic curve discrete logarithm problem. ECC offers equivalent security to RSA and other systems using smaller key sizes, reducing requirements for storage, transmission, and processing. Implementation considerations include optimization of finite field and elliptic curve arithmetic for different computing environments and applications.
1) Elliptic curve cryptography uses elliptic curves over finite fields to provide a method for constructing cryptographic groups.
2) The security of elliptic curve cryptography relies on the difficulty of solving the elliptic curve discrete logarithm problem.
3) Elliptic curve cryptography provides the same security level as other cryptosystems like RSA but with smaller key sizes, making it advantageous for applications with limited computational power or space.
The document discusses various topics in mathematics including:
1) Different types of numbers such as rational, irrational, integers, and imaginary numbers.
2) Tests for divisibility such as being divisible by 2, 5, 10, 3, 4, 6, and 9.
3) Geometric topics such as the properties of triangles, quadrilaterals, circles, angles, and transformations of graphs.
4) Algebraic concepts such as functions, exponents, radicals, and equations of lines.
5) Probability and statistics definitions including mean, median, mode, and average.
This document provides an overview of common algorithms and data structures. It begins by defining an algorithm and discussing algorithm analysis techniques like asymptotic analysis. It then covers basic data structures like arrays, linked lists, stacks, queues, and trees. It explains various sorting algorithms like selection sort, bubble sort, insertion sort, quicksort, and mergesort. It also discusses search techniques like binary search and binary search trees. Other topics covered include priority queues, hashing, graphs, graph traversal, minimum spanning trees, shortest paths, and string searching algorithms.
Transform as a vector? Tying functional parity with rotation angle of coordin...SayakBhattacharjee4
Oral presentation for Undergraduate Session VII of the American Physical Society (APS) March Meeting 2020: {http://meetings.aps.org/Meeting/MAR20/Session/F12.12}.
This document provides information about various concepts in analytic geometry including:
- Points, lines, planes, line segments, circles, angles, polygons, and their definitions.
- Finding midpoints, distances between points, slopes and inclinations of lines.
- Calculating slopes, tangents of angles, and the angle between two lines.
- Examples are provided to demonstrate finding midpoints, distances, slopes, angles, and solving geometric problems using coordinate systems.
Futher pure mathematics 3 hyperbolic functionsDennis Almeida
This document provides an overview of hyperbolic functions including:
- Their definition in terms of exponential functions compared to circular/trigonometric functions defined using the unit circle.
- Graphs and properties of the six main hyperbolic functions (sinh, cosh, tanh, sech, coth, cosech) derived using exponential definitions and relationships between functions.
- Typical session structure includes introducing hyperbolic functions, defining the six functions, proving identities, and example exam questions.
This instructional material provides resources to teach various math concepts. It includes fraction walls, number lines, algebra tiles, and other tools to teach fractions, integers, algebra, geometry, and more. The material aims to help students easily review basic concepts, identify skills, and master problems involving various math topics through hands-on learning with the provided materials.
Kinematics is the study of how robotic manipulators move. It describes the relationship between actuator movement and resulting end effector motion. Understanding a robot's kinematics, including its number of joints, degrees of freedom, and how parts are connected, is necessary for controlling its movement. Forward kinematics determines the end effector position from joint angles, while inverse kinematics finds required joint angles for a given end effector position. Homogeneous transformations provide a general mathematical approach for solving kinematics equations using matrix algebra.
A graph is a data structure consisting of vertices and edges connecting the vertices. Graphs can be directed or undirected. Depth-first search (DFS) and breadth-first search (BFS) are algorithms for traversing graphs by exploring neighboring vertices. DFS uses a stack and explores as far as possible along each branch before backtracking, while BFS uses a queue and explores all neighbors at each depth level first before moving to the next level.
Towards an area datatype for OSM - State of the Map 2013OSMFstateofthemap
This document discusses problems with how polygons are represented in OpenStreetMap and proposes a new area datatype to address these issues. Specifically, it notes that there are currently multiple ways to define polygons that make them difficult to understand, edit, and use. The proposed area datatype would provide a single representation for polygons and make them easier to validate and work with programmatically. It outlines high-level considerations for what such a datatype might look like and how existing polygon data could be migrated to the new format.
The document presents an algorithm to find the visible region of a polygon in O(n^2) time and O(n) space. It first finds the visible vertices region by checking each vertex for intersections with edges in O(n^2) time. It then extends this region to the full visible region by considering gaps between visible vertices and finding intersection points of extreme lines in O(n) time. The algorithm avoids issues with existing approaches and produces the exact visible region without unnecessary points.
TIU CET Review Math Session 6 - part 2 of 2youngeinstein
1. The document provides a review of math concepts for a college entrance exam, including functions, trigonometric functions, exponential and logarithmic functions.
2. It reviews concepts like evaluating functions, adding and composing functions, finding roots and intercepts of functions, and properties of trigonometric, exponential and logarithmic functions.
3. The document provides examples and problems to solve related to these various math concepts as a study guide for the exam.
Depth first traversal(data structure algorithms)bhuvaneshwariA5
The document discusses depth-first search (DFS) algorithms for graphs. It explains that DFS traverses a graph in a depthward motion using a stack. It explores all adjacent unvisited nodes, marks them as visited, and pushes them onto the stack before backtracking. The document provides pseudocode for DFS and an example of applying it to a graph. It also discusses uses of DFS in finding connected components, biconnectivity, and strongly connected components in graphs.
This document provides an overview of different techniques for representing polygon meshes and parametric curves. It discusses explicit representations of polygon meshes using vertex and edge lists, as well as parametric cubic curves including Hermite, Bezier, and B-spline curves. It describes how each technique represents the geometry and constraints, and properties such as continuity and invariance. Key topics covered include representations of polygon meshes, Hermite curves defined by endpoints and tangents, Bezier curves defined by control points, and B-spline curves having local control and smooth joins.
Interpolation is a method for determining continuous values between discrete data points. Linear interpolation uses a weighted average to determine intermediate values between two known points along a straight line. Bilinear and bicubic interpolation generalize this concept to two and higher dimensions by interpolating between multiple known points. Interpolation has applications in image resizing, morphing, and synthesizing continuous values from discrete samples.
This document discusses nonlinear dynamics and chaos. It begins with an overview of key concepts in chaos like fractals, self-similarity, and dependence on initial conditions. It then provides a brief history of the field, covering contributions from Newton, Poincare, Lorentz, and others. The document proceeds to discuss logistic equations and bifurcations. It provides examples of fixed points, phase portraits, and bifurcation diagrams. It also covers modeling population dynamics and insect outbreaks using logistic growth equations.
Elliptic curve cryptography uses elliptic curves over finite fields to provide security for encryption, digital signatures, and key exchange. The security of ECC relies on the difficulty of solving the elliptic curve discrete logarithm problem. ECC offers equivalent security to RSA and other systems using smaller key sizes, reducing requirements for storage, transmission, and processing. Implementation considerations include optimization of finite field and elliptic curve arithmetic for different computing environments and applications.
1) Elliptic curve cryptography uses elliptic curves over finite fields to provide a method for constructing cryptographic groups.
2) The security of elliptic curve cryptography relies on the difficulty of solving the elliptic curve discrete logarithm problem.
3) Elliptic curve cryptography provides the same security level as other cryptosystems like RSA but with smaller key sizes, making it advantageous for applications with limited computational power or space.
Removing Uninteresting Bytes in Software FuzzingAftab Hussain
Imagine a world where software fuzzing, the process of mutating bytes in test seeds to uncover hidden and erroneous program behaviors, becomes faster and more effective. A lot depends on the initial seeds, which can significantly dictate the trajectory of a fuzzing campaign, particularly in terms of how long it takes to uncover interesting behaviour in your code. We introduce DIAR, a technique designed to speedup fuzzing campaigns by pinpointing and eliminating those uninteresting bytes in the seeds. Picture this: instead of wasting valuable resources on meaningless mutations in large, bloated seeds, DIAR removes the unnecessary bytes, streamlining the entire process.
In this work, we equipped AFL, a popular fuzzer, with DIAR and examined two critical Linux libraries -- Libxml's xmllint, a tool for parsing xml documents, and Binutil's readelf, an essential debugging and security analysis command-line tool used to display detailed information about ELF (Executable and Linkable Format). Our preliminary results show that AFL+DIAR does not only discover new paths more quickly but also achieves higher coverage overall. This work thus showcases how starting with lean and optimized seeds can lead to faster, more comprehensive fuzzing campaigns -- and DIAR helps you find such seeds.
- These are slides of the talk given at IEEE International Conference on Software Testing Verification and Validation Workshop, ICSTW 2022.
HCL Notes and Domino License Cost Reduction in the World of DLAUpanagenda
Webinar Recording: https://www.panagenda.com/webinars/hcl-notes-and-domino-license-cost-reduction-in-the-world-of-dlau/
The introduction of DLAU and the CCB & CCX licensing model caused quite a stir in the HCL community. As a Notes and Domino customer, you may have faced challenges with unexpected user counts and license costs. You probably have questions on how this new licensing approach works and how to benefit from it. Most importantly, you likely have budget constraints and want to save money where possible. Don’t worry, we can help with all of this!
We’ll show you how to fix common misconfigurations that cause higher-than-expected user counts, and how to identify accounts which you can deactivate to save money. There are also frequent patterns that can cause unnecessary cost, like using a person document instead of a mail-in for shared mailboxes. We’ll provide examples and solutions for those as well. And naturally we’ll explain the new licensing model.
Join HCL Ambassador Marc Thomas in this webinar with a special guest appearance from Franz Walder. It will give you the tools and know-how to stay on top of what is going on with Domino licensing. You will be able lower your cost through an optimized configuration and keep it low going forward.
These topics will be covered
- Reducing license cost by finding and fixing misconfigurations and superfluous accounts
- How do CCB and CCX licenses really work?
- Understanding the DLAU tool and how to best utilize it
- Tips for common problem areas, like team mailboxes, functional/test users, etc
- Practical examples and best practices to implement right away
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024Neo4j
Neha Bajwa, Vice President of Product Marketing, Neo4j
Join us as we explore breakthrough innovations enabled by interconnected data and AI. Discover firsthand how organizations use relationships in data to uncover contextual insights and solve our most pressing challenges – from optimizing supply chains, detecting fraud, and improving customer experiences to accelerating drug discoveries.
In his public lecture, Christian Timmerer provides insights into the fascinating history of video streaming, starting from its humble beginnings before YouTube to the groundbreaking technologies that now dominate platforms like Netflix and ORF ON. Timmerer also presents provocative contributions of his own that have significantly influenced the industry. He concludes by looking at future challenges and invites the audience to join in a discussion.
How to Get CNIC Information System with Paksim Ga.pptxdanishmna97
Pakdata Cf is a groundbreaking system designed to streamline and facilitate access to CNIC information. This innovative platform leverages advanced technology to provide users with efficient and secure access to their CNIC details.
TrustArc Webinar - 2024 Global Privacy SurveyTrustArc
How does your privacy program stack up against your peers? What challenges are privacy teams tackling and prioritizing in 2024?
In the fifth annual Global Privacy Benchmarks Survey, we asked over 1,800 global privacy professionals and business executives to share their perspectives on the current state of privacy inside and outside of their organizations. This year’s report focused on emerging areas of importance for privacy and compliance professionals, including considerations and implications of Artificial Intelligence (AI) technologies, building brand trust, and different approaches for achieving higher privacy competence scores.
See how organizational priorities and strategic approaches to data security and privacy are evolving around the globe.
This webinar will review:
- The top 10 privacy insights from the fifth annual Global Privacy Benchmarks Survey
- The top challenges for privacy leaders, practitioners, and organizations in 2024
- Key themes to consider in developing and maintaining your privacy program
Communications Mining Series - Zero to Hero - Session 1DianaGray10
This session provides introduction to UiPath Communication Mining, importance and platform overview. You will acquire a good understand of the phases in Communication Mining as we go over the platform with you. Topics covered:
• Communication Mining Overview
• Why is it important?
• How can it help today’s business and the benefits
• Phases in Communication Mining
• Demo on Platform overview
• Q/A
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slackshyamraj55
Discover the seamless integration of RPA (Robotic Process Automation), COMPOSER, and APM with AWS IDP enhanced with Slack notifications. Explore how these technologies converge to streamline workflows, optimize performance, and ensure secure access, all while leveraging the power of AWS IDP and real-time communication via Slack notifications.
Best 20 SEO Techniques To Improve Website Visibility In SERPPixlogix Infotech
Boost your website's visibility with proven SEO techniques! Our latest blog dives into essential strategies to enhance your online presence, increase traffic, and rank higher on search engines. From keyword optimization to quality content creation, learn how to make your site stand out in the crowded digital landscape. Discover actionable tips and expert insights to elevate your SEO game.
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...SOFTTECHHUB
The choice of an operating system plays a pivotal role in shaping our computing experience. For decades, Microsoft's Windows has dominated the market, offering a familiar and widely adopted platform for personal and professional use. However, as technological advancements continue to push the boundaries of innovation, alternative operating systems have emerged, challenging the status quo and offering users a fresh perspective on computing.
One such alternative that has garnered significant attention and acclaim is Nitrux Linux 3.5.0, a sleek, powerful, and user-friendly Linux distribution that promises to redefine the way we interact with our devices. With its focus on performance, security, and customization, Nitrux Linux presents a compelling case for those seeking to break free from the constraints of proprietary software and embrace the freedom and flexibility of open-source computing.
“An Outlook of the Ongoing and Future Relationship between Blockchain Technologies and Process-aware Information Systems.” Invited talk at the joint workshop on Blockchain for Information Systems (BC4IS) and Blockchain for Trusted Data Sharing (B4TDS), co-located with with the 36th International Conference on Advanced Information Systems Engineering (CAiSE), 3 June 2024, Limassol, Cyprus.
Threats to mobile devices are more prevalent and increasing in scope and complexity. Users of mobile devices desire to take full advantage of the features
available on those devices, but many of the features provide convenience and capability but sacrifice security. This best practices guide outlines steps the users can take to better protect personal devices and information.
UiPath Test Automation using UiPath Test Suite series, part 5DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 5. In this session, we will cover CI/CD with devops.
Topics covered:
CI/CD with in UiPath
End-to-end overview of CI/CD pipeline with Azure devops
Speaker:
Lyndsey Byblow, Test Suite Sales Engineer @ UiPath, Inc.
Maruthi Prithivirajan, Head of ASEAN & IN Solution Architecture, Neo4j
Get an inside look at the latest Neo4j innovations that enable relationship-driven intelligence at scale. Learn more about the newest cloud integrations and product enhancements that make Neo4j an essential choice for developers building apps with interconnected data and generative AI.
UiPath Test Automation using UiPath Test Suite series, part 6DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 6. In this session, we will cover Test Automation with generative AI and Open AI.
UiPath Test Automation with generative AI and Open AI webinar offers an in-depth exploration of leveraging cutting-edge technologies for test automation within the UiPath platform. Attendees will delve into the integration of generative AI, a test automation solution, with Open AI advanced natural language processing capabilities.
Throughout the session, participants will discover how this synergy empowers testers to automate repetitive tasks, enhance testing accuracy, and expedite the software testing life cycle. Topics covered include the seamless integration process, practical use cases, and the benefits of harnessing AI-driven automation for UiPath testing initiatives. By attending this webinar, testers, and automation professionals can gain valuable insights into harnessing the power of AI to optimize their test automation workflows within the UiPath ecosystem, ultimately driving efficiency and quality in software development processes.
What will you get from this session?
1. Insights into integrating generative AI.
2. Understanding how this integration enhances test automation within the UiPath platform
3. Practical demonstrations
4. Exploration of real-world use cases illustrating the benefits of AI-driven test automation for UiPath
Topics covered:
What is generative AI
Test Automation with generative AI and Open AI.
UiPath integration with generative AI
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
AI 101: An Introduction to the Basics and Impact of Artificial IntelligenceIndexBug
Imagine a world where machines not only perform tasks but also learn, adapt, and make decisions. This is the promise of Artificial Intelligence (AI), a technology that's not just enhancing our lives but revolutionizing entire industries.
2. What is Topology?
• The topology of a space is the definition of
a collection of sets (called the open sets)
that include:
– the space and the empty set
– the union of any of the sets
– the finite intersection of any of the sets
• “Topological space is a set with the least
structure necessary to define the
concepts of nearness and continuity”
3. No, Really.What is Topology?
• The study of properties of a shape that do not
change under deformation
• Rules of deformation
– Onto (all of A all of B)
– 1-1 correspondence (no overlap)
– bicontinuous, (continuous both ways)
– Can’t tear, join, poke/seal holes
• A is homeomorphic to B
4. Why Topology?
• What is the boundary of an object?
• Are there holes in the object?
• Is the object hollow?
• If the object is transformed in some way, are the
changes continuous or abrupt?
• Is the object bounded, or does it extend infinitely
far?
5. Why Do We (CG) Care?
The study of connectedness
• Understanding
How connectivity happens?
• Analysis
How to determine connectivity?
• Articulation
How to describe connectivity?
• Control
How to enforce connectivity?
6. For Example
How does connectedness affect…
• Morphing
• Texturing
• Compression
• Simplification
8. Topological Properties
• To uniquely determine the type of
homeomorphism we need to know :
– Surface is open or closed
– Surface is orientable or not
– Genus (number of holes)
– Boundary components
9. Surfaces
• How to define “surface”?
• Surface is a space which ”locally
looks like” a plane:
– the set of zeroes of a polynomial
equation in three variables in R3 is a
2D surface: x2+y2+z2=1
10. Surfaces and Manifolds
• An n-manifold is a topological space
that “locally looks like” the Euclidian
space Rn
– Topological space: set properties
– Euclidian space: geometric/coordinates
• A sphere is a 2-manifold
• A circle is a 1-manifold
11. Open vs. Closed Surfaces
• The points x having a
neighborhood homeomorphic to
R2 form Int(S) (interior)
• The points y for which every
neighborhood is homeomorphic to
R2
0 form ∂S (boundary)
• A surface S is said to be closed if
its boundary is empty
12. Orientability
• A surface in R3 is called orientable, if it
is possible to distinguish between its
two sides (inside/outside above/below)
• A non-orientable surface has a path
which brings a traveler back to his
starting point mirror-reversed (inverse
normal)
13. Orientation by Triangulation
• Any surface has a triangulation
• Orient all triangles CW or CCW
• Orientability: any two triangles
sharing an edge have opposite
directions on that edge.
14. Genus and holes
• Genus of a surface is the maximal number
of nonintersecting simple closed curves
that can be drawn on the surface without
separating it
• The genus is equivalent to the number of
holes or handles on the surface
• Example:
– Genus 0: point, line, sphere
– Genus 1: torus, coffee cup
– Genus 2: the symbols 8 and B
15. Euler characteristic function
• Polyhedral decomposition of a surface
(V = #vertices, E = #edges, F = #faces)
(M) = V – E + F
– If M has g holes and h boundary components then
(M) = 2 – 2g – h
–(M) is independent of the polygonization
= 1 = 2 = 0
16. Summary: equivalence in R3
• Any orientable closed surface
is topologically equivalent to a
sphere with g handles
attached to it
– torus is equivalent to a sphere
with one handle ( =0, g=1)
– double torus is equivalent to a
sphere with two handles ( =-2 ,
g=2)
17. Hard Problems… Dunking a Donut
• Dunk the donut in
the coffee!
• Investigate the
change in topology
of the portion of the
donut immersed in
the coffee
18.
19.
20.
21.
22.
23. Solution: Morse Theory
Investigates the topology of a
surface by the critical points of a
real function on the surface
• Critical point occur where the
gradient f = (f/x, f/y,…) = 0
• Index of a critical point is # of
principal directions where f
decreases
24. Example: Dunking a Donut
• Surface is a torus
• Function f is height
• Investigate topology of f h
• Four critical points
– Index 0 : minimum
– Index 1 : saddle
– Index 1 : saddle
– Index 2 : maximum
• Example: sphere has a function with only critical
points as maximum and a minimum
25. How does it work? Algebraic Topology
• Homotopy equivalence
– topological spaces are varied, homeomorphisms
give much too fine a classification to be useful…
• Deformation retraction
• Cells
26. Homotopy equivalence
• A ~ B There is a continuous map between A
and B
• Same number of components
• Same number of holes
• Not necessarily the same dimension
• Homeomorphism Homotopy
~ ~
27. Deformation Retraction
• Function that continuously reduces a set
onto a subset
• Any shape is homotopic to any of its
deformation retracts
• Skeleton is a deformation retract of the
solids it defines
~ ~ ~
~
28. Cells
• Cells are dimensional primitives
• We attach cells at their boundaries
0-cell 1-cell 2-cell 3-cell
29. Morse function
• f doesn’t have to be height – any Morse
function would do
• f is a Morse function on M if:
– f is smooth
– All critical points are isolated
– All critical points are non-degenerate:
• det(Hessian(p)) != 0
2 2
2
2 2
2
( ) ( )
( )
( ) ( )
f f
x x y
Hessian f
f f
y x y
p p
p
p p
30. Critical Point Index
• The index of a critical point is the number of
negative eigenvalues of the Hessian:
– 0 minimum
– 1 saddle point
– 2 maximum
• Intuition: the number
of independent
directions in which
f decreases ind=0
ind=1
ind=1
ind=2
31. If sweep doesn’t pass critical point
[Milnor 1963]
• Denote Ma
= {p M | f(p) a} (the sweep
region up to value a of f )
• Suppose f 1
[a, b] is compact and doesn’t
contain critical points of f. Then Ma
is
homeomorphic to Mb
.
32. Sweep passes critical point
[Milnor 1963]
• p is critical point of f with index , is
sufficiently small. Then Mc+
has the same
homotopy type as Mc
with -cell attached.
Mc
Mc+
Mc Mc
with -cell
attached
~
Mc+
34. What we learned so far
• Topology describes properties of shape that
are invariant under deformations
• We can investigate topology by
investigating critical points of Morse
functions
• And vice versa: looking at the topology of
level sets (sweeps) of a Morse function, we
can learn about its critical points
35. Reeb graphs
• Schematic way to present a Morse function
• Vertices of the graph are critical points
• Arcs of the graph are connected components of
the level sets of f, contracted to points
2
1
1
1
1
1
0 0
36. Reeb graphs and genus
• The number of loops in the Reeb graph is
equal to the surface genus
• To count the loops, simplify the graph by
contracting degree-1 vertices and removing
degree-2 vertices
degree-2
38. Discretized Reeb graph
• Take the critical points and “samples” in
between
• Robust because we know that nothing
happens between consecutive critical points
39. Reeb graphs for Shape Matching
• Reeb graph encodes the behavior of a
Morse function on the shape
• Also tells us about the topology of the
shape
• Take a meaningful function and use its
Reeb graph to compare between shapes!
40. Choose the right Morse function
• The height function f (p) = z is not good
enough – not rotational invariant
• Not always a Morse function
41. Average geodesic distance
• The idea of [Hilaga et al. 01]: use geodesic
distance for the Morse function!
( ) geodist( , )
( ) min ( )
( )
max ( )
M
M
M
g dS
g g
f
g
q
q
p p q
p q
p
q
42. Multi-res Reeb graphs
• Hilaga et al. use multiresolutional Reeb
graphs to compare between shapes
• Multiresolution hierarchy – by gradual
contraction of vertices
43. Mesh Partitioning
• Now we get to [Zhang et al. 03]
• They use almost the same f as [Hilaga et al.
01]
• Want to find features = long protrusions
• Find local maxima of f !
44. Region growing
• Start the sweep from global minimum
(central point of the shape)
• Add one triangle at a time – the one with
smallest f
• Record topology changes in the boundary
of the sweep front – these are critical points
45. Critical points – genus-0 surface
• Splitting saddle – when the front splits into two
• Maximum – when one front boundary component
vanishes
max max
splitting
saddle
min