An introduction to expander families and Ramanujan graphs by Tony Shaheen from CSU Los Angeles. The discussion covers the concept of regular graphs, motivation behind expander families, communication networks, and the goal of creating an infinite sequence of d-regular graphs optimized for communicat

0 views • 54 slides

Dive into the world of product and knowledge graphs, uncovering the journey to a rich product graph, examples of knowledge graphs for songs, and the mission to provide comprehensive information on products and related knowledge. Discover use cases ranging from information provision to enhancing sear

3 views • 76 slides

Explore a set of physics clicker questions and accompanying graphs covering topics such as ball motion, light refraction, Moon phases, velocity graphs, and integration methods. Test your knowledge and understanding of physics concepts with these engaging questions.

2 views • 17 slides

Delve into the world of data visualization with slow reveal graphs, column graphs, pictographs, dot plots, divided bar graphs, sector graphs, line graphs, and stem-and-leaf plots. Engage in observations and wonderings to enhance statistical comprehension and analytical skills.

0 views • 8 slides

Exploring Bellman-Ford and Floyd-Warshall algorithms, Dijkstra's Algorithm, shortest path problems, dynamic programming on graphs, and solving distances in a directed acyclic graph. Learn about recurrences, evaluation orders, topological sort, and handling cycles in graphs.

0 views • 39 slides

Explore various examples related to reading bar charts, line graphs, stem-and-leaf diagrams, pie charts, and constructing stem-and-leaf charts in the context of National 5 Applications of Maths. Practice interpreting data from tables, line graphs, and stem-and-leaf diagrams to enhance your understan

0 views • 18 slides

This chapter delves into various types of graphs used in data representation, such as bar graphs, pie graphs, histograms, line graphs, and linear graphs. It explains the purpose and structure of each graph type, along with practical examples. Additionally, it covers the Cartesian system for locating

0 views • 15 slides

Functions are a fundamental concept in mathematics used to describe relationships in the real world. They can be represented through equations, graphs, tables, or verbal descriptions. A function maps elements from a domain to a range, where each input has a unique output. The domain encompasses all

0 views • 4 slides

Bar graphs are useful for displaying and comparing data, while double bar graphs help compare two related datasets. Histograms show the distribution of data. Learn how to interpret and create these visual representations effectively with examples provided.

0 views • 20 slides

This research explores primal-dual algorithms for node-weighted network design in planar graphs, focusing on feedback vertex set problems, flavors and toppings of FVS, FVS in general graphs, and FVS in planar graphs. The study delves into NP-hard problems, approximation algorithms, and previous rela

0 views • 17 slides

In this collection of images, various mathematical concepts are visually presented, including definitions, theorems, and proofs. The slides cover a range of topics in a structured manner, providing a concise overview of key mathematical principles. From foundational definitions to detailed proofs, t

0 views • 12 slides

Learn how to graph equations and find equations from graphs of straight lines. Explore tables of values, plotting points on a coordinate plane, drawing lines through points, and identifying relationships between graphs and algebraic expressions. Discover the gradient-intercept form of a straight lin

0 views • 14 slides

Mathematical modeling plays a crucial role in solving engineering problems efficiently. Numerical methods are powerful tools essential for problem-solving and learning. This chapter explores the importance of studying numerical methods, the concept of mathematical modeling, and the evaluation proces

0 views • 10 slides

Explore the concept of speed vs. time graphs and learn how to recognize acceleration, interpret speed, analyze motion, and calculate acceleration from the slope of the graph. Discover the characteristics of graphs showing constant acceleration, varying acceleration, and deceleration. Engage in drawi

0 views • 19 slides

Explore the dynamics of a water tank being filled at a rate of one litre per second and analyze how the height of the water surface changes over time. Learn about the useful information available, the mathematical techniques required, and examine graphs depicting the changing water levels. Gain insi

0 views • 5 slides

Need for improved semantic analysis of clinical narratives for information retrieval and decision support is addressed through the use of complex knowledge graphs. These graphs capture axiomatic descriptions of generalizable truths about entities in the medical domain, providing a language-independe

0 views • 8 slides

Mathematical modeling plays a crucial role in problem-solving in engineering by using numerical methods. This involves formulating problems for solutions through arithmetic operations. The study of numerical methods is essential as they are powerful problem-solving tools that enhance computer usage

5 views • 10 slides

This document provides an introduction to interpreting line graphs for Year 6 students. It covers key concepts, reviews essential skills, explores precise mathematical vocabulary, and includes lesson clips on right angles and perpendicular lines. The journey through the lesson involves a focus on pe

0 views • 26 slides

Explore the relationship between mountain ranges and polynomials, and learn how to apply the Intermediate Value Theorem to find zeros of polynomial functions. This guide covers concepts like the Interval Value Theorem, sketching graphs of higher-degree polynomials, and constructing tables to analyze

3 views • 85 slides

Exploring temperature patterns in September through the lens of bar graphs. The lesson covers how to interpret bar graphs showing temperature variations to identify patterns, with a focus on understanding weather patterns in Pomona. Various activities and visual aids are used to engage learners in r

0 views • 15 slides

Explore the representation of abstract groups as automorphism groups of graphs, touching on topics such as the existence of graphs whose automorphism groups are isomorphic to given abstract groups, the cardinality of connected graphs satisfying specific properties, and questions regarding the cardin

0 views • 16 slides

Explore the intriguing world of low threshold rank graphs and their structural properties, including spectral graph theory, Cheeger's inequality, and generalizations to higher eigenvalues. Learn about the concept of threshold rank, partitioning of graphs, diameter limits, and eigenvectors approximat

0 views • 22 slides

Different types of graphs, such as line graphs, scatter plots, histograms, box plots, bar graphs, and pie charts, offer diverse ways to represent data effectively. Understanding when to use each type based on the data being collected is essential for insightful analysis. Scatter plots are ideal for

2 views • 37 slides

Learn how to analyze and relate two quantities using graphs, analyze data presented in tables and graphs, and sketch graphs representing various scenarios such as the movement of a model rocket or a playground swing. The visuals provided will help you understand how to interpret and draw graphs in d

2 views • 7 slides

FlashGraph proposes a system that combines SSDs and RAM for efficient graph processing, storing vertices in memory and edge lists in SSD storage. The system can handle large graphs without using excessive memory and boasts performance comparable to in-memory graph processing engines. While SSDs offe

0 views • 6 slides

Delve into the world of graphs with a focus on visualizations for networks and building up graph representations in Java. Explore different graph representations, adjacency lists, and key-value mappings, along with insights on storing and tracking data efficiently using Java data structures. Dive in

0 views • 12 slides

Learn to describe and interpret graphs showing upward and downward movements using verbs, nouns, and prepositions. Explore expressions for dramatic changes, stability, and fluctuations in data. Understand how movements in graphs are depicted through various adjectives and adverbs.

0 views • 17 slides

Delve into the world of discrete mathematics with a focus on graph theory. Learn about graphs, their properties, and essential theorems. Discover how graphs model relations in various applications like network routing, GPS guidance, and chemical reaction simulations. Explore graph terminology, theor

0 views • 26 slides

Explore the world of electrical filters through this comprehensive guide covering different types of filters, frequency response graphs, and practical applications. Learn about low-pass, high-pass, and band-pass filters, how they work, and their significance in signal processing. Discover the concep

0 views • 24 slides

This research focuses on achieving exact Byzantine consensus on undirected graphs under the local broadcast model, where communication is synchronous with known underlying graphs. The model reduces the power of Byzantine nodes and imposes connectivity requirements. The algorithm involves flooding va

0 views • 7 slides

Graphical representation of data in Business Mathematics is a powerful tool that provides a bird's eye view of statistical information. It enables easy visualization of variations in variables, aiding in understanding time series and frequency distributions efficiently. While graphs offer quick esti

0 views • 18 slides

Explore how Focused Entailment Graphs improve Open Information Extraction (Open IE) by structuring propositions and their entailment relations. These graphs help consolidate natural language expressions like "relieve headache" and "treat headache" to organize data hierarchically for better understan

0 views • 52 slides

Practice interpreting data and graphs related to variables such as independent and dependent variables. Analyze circle, line, and bar graphs, data tables, and charts to understand concepts like time allocation, car trip details, demand and price relationship, atomic element properties, mass-force co

0 views • 17 slides

Explore how Pregelix on a dataflow engine enables efficient processing of large graphs, providing insights on its system architecture, experimental results, and related work in graph analytics. Understand Pregel semantics, programming model, APIs, and graph mutations for effective analysis of big da

0 views • 38 slides

In this content, various graphs are used to demonstrate the concept of correlation in scatter graphs. It discusses positive, negative, and no correlation, showcasing how one variable affects the other. Examples and explanations are provided to help understand the relationships between different sets

0 views • 17 slides

Exploring the concept of a Symmetric Chromatic Function (SCF) for voltage graphs involves proper coloring conditions for edges and vertices, edge polarization functions, and decomposing voltage graphs into disconnected and connected squiggly graphs. The SCF allows for determining the number of ways

0 views • 7 slides

Exploring kinematics in physics involves studying the motion of objects through equations, graphs, and definitions. Key concepts include position, distance, displacement, speed, velocity, and acceleration, along with scalar and vector quantities. Equations like s = (u + v)t and v = u + at are crucia

0 views • 26 slides

Research conducted at the University of West Georgia focused on uniquely bipancyclic graphs, defined as bipartite graphs with exactly one cycle of specific lengths determined by the order. Uniquely bipancyclic graphs have special properties, including having a Hamiltonian cycle and a specific order

0 views • 18 slides

Explore how students can grasp information through graphical formats and convert it into mathematical graphs. Learn about qualitative graphs, functions, axes, and more. Delve into exercises matching graphs with situations and drawing graphs for given scenarios like plane take-off, biking, and snowbo

0 views • 16 slides

The content includes a set of mathematical problems related to graphs, equations, and modeling of paths using given equations. These problems involve finding distances, heights, and intersection points based on the provided graph representations. The scenarios involve water sprinklers watering lawns

0 views • 6 slides