Piecewise And Step Functions

•Download as PPT, PDF•

0 likes•1,221 views

This document discusses piecewise functions and step functions. It defines a piecewise function as an equation with multiple parts where each part covers a different set of input values over the domain. A step function is a specific type of piecewise function that resembles steps when graphed, with two examples being floor and ceiling functions. Floor and ceiling functions are defined but their equations are shown on the next page due to technical difficulties.

By: Anne Kaufmann Kate Albertini Katie Fairman

What is a Piecewise Function? ,[object Object],[object Object],[object Object]

x-1 if x<-1 F(x)= -1 if x=-1 x+1 if x>-1

Step Function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Step Example: Floor function: Ceiling function:

Solve the problem showing all steps. Thoroughly explain how and why you performed each step with complete sentences. A finite-state automaton is given by the 5-tuple (Q, ?, ?, q, F), where Q = the finite set of states = {A, B, C} ? = the Alphabet (inputs) = {x, y} ? = the transition function using the alphabet as inputs to the states q = the initial state = {A} F = Accepting (or final) state = {C} The transition table for the automaton is given by: ? ? x y A A B B A C C A C (i). Draw the corresponding transition diagram (digraph). Draw diagram here (ii). Provide 5 strings that are in the language generated by the automaton. Provide strings here (iii). Provide 5 strings, that use the same inputs, which are not in the language generated by the automata. Provide strings here (iv). Write a general statement that describes when a string is part of the language generated by the above automata and when that string is not in the language. Provide statement here ? x ? y A B C A A A B C C

Typeclass

Shyamendra Solanki

Matlab Files

Saloni Singhal

Ch 1 review stations (Classwork)leblance

Matrix operations in MATLAB

Saloni Singhal

Position

mussawir20

Algorithms & flowcharts

baabtra.com - No. 1 supplier of quality freshers

Introduction to R for beginners

Abishek Purushothaman

Matlab operators

Aswin Pv

366 it elective 4 (analysis of algoritm)

Piecewise Functions

Lesson 1

Lesson 1

Edsc 304 lesson 1

Ch 3 lessons

General Mathematics - Representation and Types of Functions

Juan Miguel Palero

Chapter on Functions and Graphs.ppt

PhongLan30

orca_share_media1680312384648_7047740956181238360.pptx

JaeKim165097

Alg II 2-1 Relations and Functionsjtentinger

WEEK-1_SESSION-1-RELATIONS-FUNCTIONS.pdf

SofiaAbella1

What's hot

Precedence and associativity (Computer programming and utilization)

Digvijaysinh Gohil

Functional Scala

Stan Lea

Solve the problem showing all steps. Thoroughly explain how and why you perfo...

hwbloom60

Typeclass

Shyamendra Solanki

Matlab Files

Saloni Singhal

Ch 1 review stations (Classwork)leblance

Matrix operations in MATLAB

Saloni Singhal

Position

mussawir20

Algorithms & flowcharts

baabtra.com - No. 1 supplier of quality freshers

Introduction to R for beginners

Abishek Purushothaman

Matlab operators

Aswin Pv

366 it elective 4 (analysis of algoritm)

Neil Soliven

What's hot (12)

Precedence and associativity (Computer programming and utilization)

Functional Scala

Solve the problem showing all steps. Thoroughly explain how and why you perfo...

Typeclass

Matlab Files

Ch 1 review stations (Classwork)

Matrix operations in MATLAB

Position

Algorithms & flowcharts

Introduction to R for beginners

Matlab operators

366 it elective 4 (analysis of algoritm)

Similar to Piecewise And Step Functions

Piecewise Functions

Lesson 1

Lesson 1

Edsc 304 lesson 1

Ch 3 lessons

General Mathematics - Representation and Types of Functions

Juan Miguel Palero

Chapter on Functions and Graphs.ppt

PhongLan30

orca_share_media1680312384648_7047740956181238360.pptx

JaeKim165097

Alg II 2-1 Relations and Functionsjtentinger

WEEK-1_SESSION-1-RELATIONS-FUNCTIONS.pdf

SofiaAbella1

Module 4 topic 1 part 3 notesAnnie cox

237654933 mathematics-t-form-6

homeworkping3

Functionsacalomin

Functionswilde1kd

functions Gaditek

Alg2 lesson 2.1Carol Defreese

Graphing polynomialsJessica Garcia

Alg2 lesson 2.1Carol Defreese

Vertical line Test used in Function Algebra

ArvinTelintelo1

First Partial Review

Carlos Vázquez

Similar to Piecewise And Step Functions (20)

Piecewise Functions

Lesson 1

Edsc 304 lesson 1

Ch 3 lessons

General Mathematics - Representation and Types of Functions

Chapter on Functions and Graphs.ppt

orca_share_media1680312384648_7047740956181238360.pptx

Alg II 2-1 Relations and Functions

WEEK-1_SESSION-1-RELATIONS-FUNCTIONS.pdf

Module 4 topic 1 part 3 notes

237654933 mathematics-t-form-6

Functions

functions

Alg2 lesson 2.1

Graphing polynomials

Alg2 lesson 2.1

Vertical line Test used in Function Algebra

First Partial Review

Recently uploaded

DevOps and Testing slides at DASA Connect

Kari Kakkonen

Monitoring Java Application Security with JDK Tools and JFR Events

Ana-Maria Mihalceanu

Full-RAG: A modern architecture for hyper-personalization

Zilliz

Mike Del Balso, CEO & Co-Founder at Tecton, presents "Full RAG," a novel approach to AI recommendation systems, aiming to push beyond the limitations of traditional models through a deep integration of contextual insights and real-time data, leveraging the Retrieval-Augmented Generation architecture. This talk will outline Full RAG's potential to significantly enhance personalization, address engineering challenges such as data management and model training, and introduce data enrichment with reranking as a key solution. Attendees will gain crucial insights into the importance of hyperpersonalization in AI, the capabilities of Full RAG for advanced personalization, and strategies for managing complex data integrations for deploying cutting-edge AI solutions.

Securing your Kubernetes cluster_ a step-by-step guide to success !

KatiaHIMEUR1

Today, after several years of existence, an extremely active community and an ultra-dynamic ecosystem, Kubernetes has established itself as the de facto standard in container orchestration. Thanks to a wide range of managed services, it has never been so easy to set up a ready-to-use Kubernetes cluster. However, this ease of use means that the subject of security in Kubernetes is often left for later, or even neglected. This exposes companies to significant risks. In this talk, I'll show you step-by-step how to secure your Kubernetes cluster for greater peace of mind and reliability.

zkStudyClub - Reef: Fast Succinct Non-Interactive Zero-Knowledge Regex Proofs

Alex Pruden

This paper presents Reef, a system for generating publicly verifiable succinct non-interactive zero-knowledge proofs that a committed document matches or does not match a regular expression. We describe applications such as proving the strength of passwords, the provenance of email despite redactions, the validity of oblivious DNS queries, and the existence of mutations in DNA. Reef supports the Perl Compatible Regular Expression syntax, including wildcards, alternation, ranges, capture groups, Kleene star, negations, and lookarounds. Reef introduces a new type of automata, Skipping Alternating Finite Automata (SAFA), that skips irrelevant parts of a document when producing proofs without undermining soundness, and instantiates SAFA with a lookup argument. Our experimental evaluation confirms that Reef can generate proofs for documents with 32M characters; the proofs are small and cheap to verify (under a second). Paper: https://eprint.iacr.org/2023/1886

National Security Agency - NSA mobile device best practices

Quotidiano Piemontese

Video Streaming: Then, Now, and in the Future

Alpen-Adria-Universität

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.

みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...

名前です男

Building RAG with self-deployed Milvus vector database and Snowpark Container...

Zilliz

Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf

Paige Cruz

Monitoring and observability aren’t traditionally found in software curriculums and many of us cobble this knowledge together from whatever vendor or ecosystem we were first introduced to and whatever is a part of your current company’s observability stack. While the dev and ops silo continues to crumble….many organizations still relegate monitoring & observability as the purview of ops, infra and SRE teams. This is a mistake - achieving a highly observable system requires collaboration up and down the stack. I, a former op, would like to extend an invitation to all application developers to join the observability party will share these foundational concepts to build on:

Enchancing adoption of Open Source Libraries. A case study on Albumentations.AI

Vladimir Iglovikov, Ph.D.

Presented by Vladimir Iglovikov: - https://www.linkedin.com/in/iglovikov/ - https://x.com/viglovikov - https://www.instagram.com/ternaus/ This presentation delves into the journey of Albumentations.ai, a highly successful open-source library for data augmentation. Created out of a necessity for superior performance in Kaggle competitions, Albumentations has grown to become a widely used tool among data scientists and machine learning practitioners. This case study covers various aspects, including: People: The contributors and community that have supported Albumentations. Metrics: The success indicators such as downloads, daily active users, GitHub stars, and financial contributions. Challenges: The hurdles in monetizing open-source projects and measuring user engagement. Development Practices: Best practices for creating, maintaining, and scaling open-source libraries, including code hygiene, CI/CD, and fast iteration. Community Building: Strategies for making adoption easy, iterating quickly, and fostering a vibrant, engaged community. Marketing: Both online and offline marketing tactics, focusing on real, impactful interactions and collaborations. Mental Health: Maintaining balance and not feeling pressured by user demands. Key insights include the importance of automation, making the adoption process seamless, and leveraging offline interactions for marketing. The presentation also emphasizes the need for continuous small improvements and building a friendly, inclusive community that contributes to the project's growth. Vladimir Iglovikov brings his extensive experience as a Kaggle Grandmaster, ex-Staff ML Engineer at Lyft, sharing valuable lessons and practical advice for anyone looking to enhance the adoption of their open-source projects. Explore more about Albumentations and join the community at: GitHub: https://github.com/albumentations-team/albumentations Website: https://albumentations.ai/ LinkedIn: https://www.linkedin.com/company/100504475 Twitter: https://x.com/albumentations

20 Comprehensive Checklist of Designing and Developing a Website

Pixlogix Infotech

Dive into the world of Website Designing and Developing with Pixlogix! Looking to create a stunning online presence? Look no further! Our comprehensive checklist covers everything you need to know to craft a website that stands out. From user-friendly design to seamless functionality, we've got you covered. Don't miss out on this invaluable resource! Check out our checklist now at Pixlogix and start your journey towards a captivating online presence today.

Uni Systems Copilot event_05062024_C.Vlachos.pdf

Uni Systems S.M.S.A.

RESUME BUILDER APPLICATION Project for students

KAMESHS29

Removing Uninteresting Bytes in Software Fuzzing

Aftab 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.

UiPath Test Automation using UiPath Test Suite series, part 6

DianaGray10

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

Mind map of terminologies used in context of Generative AI

Kumud Singh

Essentials of Automations: The Art of Triggers and Actions in FME

Safe Software

In this second installment of our Essentials of Automations webinar series, we’ll explore the landscape of triggers and actions, guiding you through the nuances of authoring and adapting workspaces for seamless automations. Gain an understanding of the full spectrum of triggers and actions available in FME, empowering you to enhance your workspaces for efficient automation. We’ll kick things off by showcasing the most commonly used event-based triggers, introducing you to various automation workflows like manual triggers, schedules, directory watchers, and more. Plus, see how these elements play out in real scenarios. Whether you’re tweaking your current setup or building from the ground up, this session will arm you with the tools and insights needed to transform your FME usage into a powerhouse of productivity. Join us to discover effective strategies that simplify complex processes, enhancing your productivity and transforming your data management practices with FME. Let’s turn complexity into clarity and make your workspaces work wonders!

GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024

Neo4j

Introduction to CHERI technology - Cybersecurity

mikeeftimakis1

Recently uploaded (20)

DevOps and Testing slides at DASA Connect

Monitoring Java Application Security with JDK Tools and JFR Events

Full-RAG: A modern architecture for hyper-personalization

Securing your Kubernetes cluster_ a step-by-step guide to success !

zkStudyClub - Reef: Fast Succinct Non-Interactive Zero-Knowledge Regex Proofs

National Security Agency - NSA mobile device best practices

Video Streaming: Then, Now, and in the Future

Building RAG with self-deployed Milvus vector database and Snowpark Container...

Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf

Enchancing adoption of Open Source Libraries. A case study on Albumentations.AI

20 Comprehensive Checklist of Designing and Developing a Website

Uni Systems Copilot event_05062024_C.Vlachos.pdf

RESUME BUILDER APPLICATION Project for students

Removing Uninteresting Bytes in Software Fuzzing

UiPath Test Automation using UiPath Test Suite series, part 6

Mind map of terminologies used in context of Generative AI

Essentials of Automations: The Art of Triggers and Actions in FME

GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024

Introduction to CHERI technology - Cybersecurity