Tractable problems - PowerPoint PPT Presentation


Understanding the Formulation of Hypothesis and Research Problem Definition

Research problems arise from situations requiring solutions, faced by individuals, groups, organizations, or society. Researchers define research problems through questions or issues they aim to answer or solve. Various sources such as intuitions, research studies, brainstorming sessions, and consul

3 views • 25 slides


Boyfriend Girlfriend Love Relationship Problems Solution

In Islamic astrology, the celestial bodies\u2019 positions and movements are believed to influence human affairs, including relationships, Boyfriend Girlfriend Love Relationship Problems Solution also. Islamic astrology combines principles of traditional astrology with Islamic teachings and beliefs.

2 views • 3 slides



Understanding Policy Making for Complex Social Issues

Recognize the complexity of social issues and the need for strategic, collaborative approaches in policy-making. Learn how to address wicked problems like obesity through Health in All Policies thinking. Explore the challenges of complex, complicated, disorder, and chaotic problems. Gain insights in

1 views • 7 slides


Physics Chapter 27 Practice Problems

The chapter 27 problems involve concepts related to current, drift speed of electrons, current density, resistance, resistivity, temperature effects on resistance, and power calculations. The problems cover scenarios such as cathode ray tubes, aluminum wires, gold wires, tungsten wires, conductor re

0 views • 12 slides


Finite Element Analysis of Heat Transfer Problems

Analogy between stress analysis and heat conduction analysis is discussed. Various thermal problems, including steady-state heat transfer and governing differential equations, are explored. Conservation of energy and boundary conditions are detailed for solving thermal analysis problems.

0 views • 35 slides


Understanding Heart Problems and Community Health Worker Role

Heart problems can lead to serious health issues, affecting individuals of all ages. Learn about the causes, symptoms, and dangers of heart problems, as well as how community health workers can support those at risk. Discover the importance of early detection, lifestyle changes, and emergency respon

0 views • 20 slides


Understanding The Simplex Method for Linear Programming

The simplex method is an algebraic procedure used to solve linear programming problems by maximizing or minimizing an objective function subject to certain constraints. This method is essential for dealing with real-life problems involving multiple variables and finding optimal solutions. The proces

0 views • 56 slides


Linear Programming Models for Product-Mix Problems and LP Problem Solutions

This unit covers the formulation of linear programming (LP) models for product-mix problems, including graphical and simplex methods for solving LP problems along with the concept of duality. It also delves into transportation problems, offering insights into LP problem resolution techniques.

0 views • 137 slides


Near-Optimal Quantum Algorithms for String Problems - Summary and Insights

Near-Optimal Quantum Algorithms for String Problems by Ce Jin and Shyan Akmal presents groundbreaking research on string problem solutions using quantum algorithms. The study delves into various key topics such as Combinatorial Pattern Matching, Basic String Problems, Quantum Black-box Model, and mo

0 views • 25 slides


Understanding Complexity in Polynomial Time: MAJORITY-3SAT and Related Problems

Dive into the world of MAJORITY-3SAT and its related problems, exploring the complexity of CNF formulas and the satisfiability of assignments. Discover the intricacies of solving canonical NP-complete problems and the significance of variables in determining computational complexity.

3 views • 35 slides


Learning Objectives in Mathematics Education

The learning objectives in this mathematics course include identifying key words, translating sentences into mathematical equations, and developing problem-solving strategies. Students will solve word problems involving relationships between numbers, geometric problems with perimeter, percentage and

0 views • 30 slides


Understanding Accumulation Problems and Definite Integrals in Applied Calculus

Explore the interpretation of definite integrals in accumulation problems, where rates of change are accumulated over time. Learn how to solve accumulation problems using definite integrals and avoid common mistakes by understanding when to use initial conditions. Discover the relation between deriv

0 views • 9 slides


Introduction to Mathematical Programming and Optimization Problems

In optimization problems, one aims to maximize or minimize an objective based on input variables subject to constraints. This involves mathematical programming where functions and relationships define the objective and constraints. Linear, integer, and quadratic programs represent different types of

0 views • 25 slides


Examples of Optimization Problems Solved Using LINGO Software

This content provides examples of optimization problems solved using LINGO software. It includes problems such as job assignments to machines, finding optimal solutions, and solving knapsack problems. Detailed models, constraints, and solutions are illustrated with images. Optimization techniques an

0 views • 41 slides


Formulation of Linear Programming Problems in Decision Making

Linear Programming is a mathematical technique used to optimize resource allocation and achieve specific objectives in decision-making. The nature of Linear Programming problems includes product-mix and blending problems, with components like decision variables and constraints. Various terminologies

1 views • 14 slides


Understanding Optimization Techniques for Design Problems

Explore the basic components of optimization problems, such as objective functions, constraints, and global vs. local optima. Learn about single vs. multiple objective functions and constrained vs. unconstrained optimization problems. Dive into the statement of optimization problems and the concept

0 views • 96 slides


Understanding Computational Complexity Through Statistical Physics

In the age of vast data growth, tackling complex computational problems is crucial. Statistical physics can provide insights into handling the new challenges arising from the exponential increase in data. As we delve into understanding the complexity of computational tasks, it becomes evident that e

0 views • 24 slides


Engaging Mathematics Problems for Critical Thinking and Fun Learning

Explore a collection of engaging mathematics problems and classical brain teasers that challenge students to think critically, problem-solve creatively, and have fun while learning. From dissection tasks to card dealing challenges, these problems encourage students to readjust, reformulate, and exte

0 views • 36 slides


Algorithm Design Techniques: Divide and Conquer

Algorithm design techniques such as divide and conquer, dynamic programming, and greedy algorithms are essential for solving complex problems by breaking them down into smaller sub-problems and combining their solutions. Divide and conquer involves breaking a problem into unrelated sub-problems, sol

1 views • 13 slides


Understanding and Treating Sleep Problems in Children with Autism

Sleep problems in children with autism are viewed as skill deficits that can be addressed through relevant skills teaching. Good sleep is crucial for children's overall well-being, as it affects mood, behavior, learning, and physical health. Lack of good sleep can lead to irritability, fatigue, unin

0 views • 75 slides


Computational Complexity and NP-Complete Problems

In today's discussion, we delved into computational complexity and the challenges faced in finding efficient algorithms for various problems. We explored how some problems defy easy categorization and resist polynomial-time solutions. The concept of NP-complete problems was also introduced, highligh

0 views • 38 slides


Automatically Generating Algebra Problems: A Computer-Assisted Approach

Computer-assisted refinement in problem generation involves creating algebraic problems similar to a given proof problem by beginning with natural generalizations and user-driven fine-tuning. This process is useful for high school teachers to provide varied practice examples, assignments, and examin

0 views • 16 slides


Fermi Problems and Estimation Techniques in Science

Understand Enrico Fermi's approach to problem-solving through estimation in science as demonstrated by Fermi Problems. These problems involve making educated guesses to reach approximate answers, fostering creativity, critical thinking, and estimation skills. Explore the application of Fermi Problem

0 views • 23 slides


Insights into Computational Complexity Hierarchy and SAT Algorithms

The computational complexity hierarchy explores classes of problems like EXP-complete, PSPACE-complete, and more. SAT algorithms, such as local search methods and survey propagation, offer new insights into practical complexity. Discover the interplay between tractable and intractable structures in

0 views • 12 slides


Greedy Algorithms and Optimization Problems Overview

A comprehensive overview of greedy algorithms and optimization problems, covering topics such as the knapsack problem, job scheduling, and Huffman coding. Greedy methods for optimization problems are discussed, along with variations of the knapsack problem and key strategies for solving these proble

0 views • 17 slides


Understanding Signatures, Commitments, and Zero-Knowledge in Lattice Problems

Explore the intricacies of lattice problems such as Learning With Errors (LWE) and Short Integer Solution (SIS), and their relation to the Knapsack Problem. Delve into the hardness of these problems and their applications in building secure cryptographic schemes based on polynomial rings and lattice

0 views • 44 slides


Understanding Decision Problems in Polynomial Time Complexity

Decision problems play a crucial role in computational complexity theory, especially in the context of P and NP classes. These problems involve questions with yes or no answers, where the input describes specific instances. By focusing on polynomial-time algorithms, we explore the distinction betwee

0 views • 32 slides


Mathematical Problems Involving Graphs and Equations

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


Understanding Constraint Satisfaction Problems and Search

Constraint Satisfaction Problems (CSPs) involve assigning values to variables while adhering to constraints. CSPs are a special case of generic search problems where the state is defined by variables with possible values, and the goal is a consistent assignment. Map coloring is a classic example ill

0 views • 34 slides


Input Elimination Transformations for Scalable Verification and Trace Reconstruction

This work introduces new input elimination techniques for scalable model checking in industrial applications, focusing on trace reconstruction. The transformations aim to make the netlist more tractable for solving, involving various algorithms such as retiming, phase abstraction, and bitwidth reduc

0 views • 27 slides


Theory of Computation: Decidability and Encoding in CSE 105 Class

Explore the concepts of decidability, encoding, and computational problems in CSE 105 Theory of Computation class. Learn about decision problems, encodings for Turing Machines, framing problems as languages of strings, and examples of computational problems and their encodings. Gain insights into th

0 views • 26 slides


Model-Based Analysis for Identifying Operative Problems at Lelystad Airport

This research study presented at the International Conference on Air Transport 2015 explores the identification of operative problems at Lelystad Airport using a model-based approach. The study aims to develop a model for assessing the future performance of the airport, addressing challenges, and ob

0 views • 27 slides


Surgency as a Person-Level Risk Marker for Externalizing Problems in Children

Surgency is identified as a key interactive risk marker for externalizing problems in children, including Oppositional-Defiant Disorder (ODD) and Attention-Deficit/Hyperactivity Disorder (ADHD). This study explores how high surgency levels, when combined with low effortful control or low A, may incr

0 views • 23 slides


Python_constraint: Solving CSP Problems in Python

Python_constraint is a powerful package for solving Constraint Satisfaction Problems (CSP) in Python. It provides a simple yet effective way to define variables, domains, and constraints for various problems such as magic squares, map coloring, and Sudoku puzzles. This tool offers easy installation

0 views • 21 slides


Insights into NP-Hard Problems in Molecular Biology and Genetics

Understanding the complexity of NP-Hard Problems arising in molecular biology and genetics is crucial. These problems involve genome sequencing, global alignment of multiple genomes, identifying relations through genome comparison, discovering dysregulated pathways in human diseases, and finding spe

0 views • 24 slides


Understanding P, NP, NP-Hard, NP-Complete Problems and Amortized Analysis

This comprehensive study covers P, NP, NP-Hard, NP-Complete Problems, and Amortized Analysis, including examples and concepts like Reduction, Vertex Cover, Max-Clique, 3-SAT, and Hamiltonian Cycle. It delves into Polynomial versus Non-Polynomial problems, outlining the difficulties and unsolvability

0 views • 32 slides


Understanding Decision Problems in P and NP Complexity Classes

Decision problems play a crucial role in the realm of computational complexity theory, defining questions with binary answers that form the basis of the P and NP classes. This article delves into the significance of polynomial-time algorithms, distinguishes between tractable and intractable problems

0 views • 32 slides


Discrete Optimization Methods Overview

Discrete optimization methods, such as total enumeration and constraint relaxations, are valuable techniques for solving problems with discrete decision variables. Total enumeration involves exhaustively trying all possibilities to find optimal solutions, while constraint relaxations offer a more tr

0 views • 80 slides


Understanding NP-Hard Problems and NP-Completeness

Delve into the complexities of NP-hard problems, NP-complete problems, and the relationships between NP, NP-hard, and NP-complete classes. Learn about easy-to-verify problems in NP, the concept of NP-completeness, the first NP-complete problem - Gates Circuits, and the NP-complete problem CIRCUIT-SA

0 views • 15 slides


Equilibrium and Acid-Base Problems in Chemistry Lecture

In this lecture, topics such as Advanced Equilibrium, Acid/Base Equilibria, Systematic Method for solving chemical problems, Strong Acid/Strong Base scenarios, and General Comments on reactions are discussed. Examples using the systematic method are provided for practical understanding. Key points o

0 views • 13 slides