The document provides an overview of the curriculum for International Mathematics Extended at IGCSE levels for Year 1 and Year 2. It lists the main units covered each year including the topics within each unit, recommended resources, and number of lessons. The units cover areas of algebra, number, geometry, probability, statistics, coordinate geometry, and trigonometry.
Abstract Quadripartitioned single valued neutrosophic (QSVN) set is a powerful structure where we have four components Truth-T, Falsity-F, Unknown-U and Contradiction-C. And also it generalizes the concept of fuzzy, initutionstic and single valued neutrosophic set. In this paper we have proposed the concept of K-algebras on QSVN, level subset of QSVN and studied some of the results. In addition to this we have also investigated the characteristics of QSVN Ksubalgebras under homomorphism.
Abstract Quadripartitioned single valued neutrosophic (QSVN) set is a powerful structure where we have four components Truth-T, Falsity-F, Unknown-U and Contradiction-C. And also it generalizes the concept of fuzzy, initutionstic and single valued neutrosophic set. In this paper we have proposed the concept of K-algebras on QSVN, level subset of QSVN and studied some of the results. In addition to this we have also investigated the characteristics of QSVN Ksubalgebras under homomorphism.
The aim of this paper is to study the class of β-normal spaces. The relationships among s-normal spaces, pnormal spaces and β-normal spaces are investigated. Moreover, we study the forms of generalized β-closed
functions. We obtain characterizations of β-normal spaces, properties of the forms of generalized β-closed
functions and preservation theorems.
An approach to Fuzzy clustering of the iris petals by using Ac-meansijsc
This paper proposes a definition of a fuzzy partition element based on the homomorphism between type-1 fuzzy sets and the three-valued Kleene algebra. A new clustering method
based on the C-means algorithm, using the defined partition, is presented in this paper, which will
be validated with the traditional iris clustering problem by measuring its petals.
This is a journal concise version (without diagrams and figures) of the preprint arXiv:1308.4060.
Abstract: Polyadic systems and their representations are reviewed and a classification of general polyadic systems is presented. A new multiplace generalization of associativity preserving homomorphisms, a 'heteromorphism' which connects polyadic systems having unequal arities, is introduced via an explicit formula, together with related definitions for multiplace representations and multiactions. Concrete examples of matrix representations for some ternary groups are then reviewed. Ternary algebras and Hopf algebras are defined, and their properties are studied. At the end some ternary generalizations of quantum groups and the Yang-Baxter equation are presented.
An Overview of Separation Axioms by Nearly Open Sets in Topology.IJERA Editor
Abstract: The aim of this paper is to exhibit the research on separation axioms in terms of nearly open sets viz
p-open, s-open, α-open & β-open sets. It contains the topological property carried by respective ℘ -Tk spaces (℘
= p, s, α & β; k = 0,1,2) under the suitable nearly open mappings . This paper also projects ℘ -R0 & ℘ -R1
spaces where ℘ = p, s, α & β and related properties at a glance. In general, the ℘ -symmetry of a topological
space for ℘ = p, s, α & β has been included with interesting examples & results.
The aim of this paper is to study the class of β-normal spaces. The relationships among s-normal spaces, pnormal spaces and β-normal spaces are investigated. Moreover, we study the forms of generalized β-closed
functions. We obtain characterizations of β-normal spaces, properties of the forms of generalized β-closed
functions and preservation theorems.
An approach to Fuzzy clustering of the iris petals by using Ac-meansijsc
This paper proposes a definition of a fuzzy partition element based on the homomorphism between type-1 fuzzy sets and the three-valued Kleene algebra. A new clustering method
based on the C-means algorithm, using the defined partition, is presented in this paper, which will
be validated with the traditional iris clustering problem by measuring its petals.
This is a journal concise version (without diagrams and figures) of the preprint arXiv:1308.4060.
Abstract: Polyadic systems and their representations are reviewed and a classification of general polyadic systems is presented. A new multiplace generalization of associativity preserving homomorphisms, a 'heteromorphism' which connects polyadic systems having unequal arities, is introduced via an explicit formula, together with related definitions for multiplace representations and multiactions. Concrete examples of matrix representations for some ternary groups are then reviewed. Ternary algebras and Hopf algebras are defined, and their properties are studied. At the end some ternary generalizations of quantum groups and the Yang-Baxter equation are presented.
An Overview of Separation Axioms by Nearly Open Sets in Topology.IJERA Editor
Abstract: The aim of this paper is to exhibit the research on separation axioms in terms of nearly open sets viz
p-open, s-open, α-open & β-open sets. It contains the topological property carried by respective ℘ -Tk spaces (℘
= p, s, α & β; k = 0,1,2) under the suitable nearly open mappings . This paper also projects ℘ -R0 & ℘ -R1
spaces where ℘ = p, s, α & β and related properties at a glance. In general, the ℘ -symmetry of a topological
space for ℘ = p, s, α & β has been included with interesting examples & results.
GraphSummit Singapore | The Future of Agility: Supercharging Digital Transfor...Neo4j
Leonard Jayamohan, Partner & Generative AI Lead, Deloitte
This keynote will reveal how Deloitte leverages Neo4j’s graph power for groundbreaking digital twin solutions, achieving a staggering 100x performance boost. Discover the essential role knowledge graphs play in successful generative AI implementations. Plus, get an exclusive look at an innovative Neo4j + Generative AI solution Deloitte is developing in-house.
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.
DevOps and Testing slides at DASA ConnectKari Kakkonen
My and Rik Marselis slides at 30.5.2024 DASA Connect conference. We discuss about what is testing, then what is agile testing and finally what is Testing in DevOps. Finally we had lovely workshop with the participants trying to find out different ways to think about quality and testing in different parts of the DevOps infinity loop.
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.
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
Enchancing adoption of Open Source Libraries. A case study on Albumentations.AIVladimir 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
zkStudyClub - Reef: Fast Succinct Non-Interactive Zero-Knowledge Regex ProofsAlex 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
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
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.
Epistemic Interaction - tuning interfaces to provide information for AI supportAlan Dix
Paper presented at SYNERGY workshop at AVI 2024, Genoa, Italy. 3rd June 2024
https://alandix.com/academic/papers/synergy2024-epistemic/
As machine learning integrates deeper into human-computer interactions, the concept of epistemic interaction emerges, aiming to refine these interactions to enhance system adaptability. This approach encourages minor, intentional adjustments in user behaviour to enrich the data available for system learning. This paper introduces epistemic interaction within the context of human-system communication, illustrating how deliberate interaction design can improve system understanding and adaptation. Through concrete examples, we demonstrate the potential of epistemic interaction to significantly advance human-computer interaction by leveraging intuitive human communication strategies to inform system design and functionality, offering a novel pathway for enriching user-system engagements.
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.
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.
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfPaige 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:
A tale of scale & speed: How the US Navy is enabling software delivery from l...sonjaschweigert1
Rapid and secure feature delivery is a goal across every application team and every branch of the DoD. The Navy’s DevSecOps platform, Party Barge, has achieved:
- Reduction in onboarding time from 5 weeks to 1 day
- Improved developer experience and productivity through actionable findings and reduction of false positives
- Maintenance of superior security standards and inherent policy enforcement with Authorization to Operate (ATO)
Development teams can ship efficiently and ensure applications are cyber ready for Navy Authorizing Officials (AOs). In this webinar, Sigma Defense and Anchore will give attendees a look behind the scenes and demo secure pipeline automation and security artifacts that speed up application ATO and time to production.
We will cover:
- How to remove silos in DevSecOps
- How to build efficient development pipeline roles and component templates
- How to deliver security artifacts that matter for ATO’s (SBOMs, vulnerability reports, and policy evidence)
- How to streamline operations with automated policy checks on container images
A tale of scale & speed: How the US Navy is enabling software delivery from l...
12 13 igcse int'l math extended (y1,2) topic overview
1. IGCSE International Mathematics Extended Curriculum (Year 1) 2012-13
NUMBER
UNIT NAME CONTENT RESOURCES OF LESSONS
Algebra – Unit 1 Expand brackets Haese and Harris: 6
Factorise the HCF Some of chapter 1
Solve linear equations (section 1A-1G)
Solve word problems by forming H and H: chapter 3
linear equations (all sections except
Linear inequalities E)
Number – Unit 1 Ratio and Proportion IGCSE Cambridge 2
(Assumed Knowledge) Rounding and significant figures International
HCF and LCM Mathematics (0607
Sets of numbers Extended) by Haese
Conversions and Harris:
24-hour time “Assumed
Knowledge
(Number), sections
A, C, F.1-F.5, H.1-
H.3, I.1, I.2”
Also, chapter 3
section E
Algebra – Unit 2 Formula substitution Haese and Harris: 3
Rearrange algebraic expressions Chapter 7 (p. 147-
Solve systems of simultaneous 168)
linear equations algebraically STP Mathematics
3A by Bostock,
Shepherd, Chandler,
Smith
Sets Set notation Haese and Harris: 6
Different types of sets and subsets Chapter 2 (p. 57-
Venn diagrams 74)
Shade solutions on Vd’s Extended Math for
Solve word problems using Vd’s IGCSE by David
Rayner
2. Geometry – Unit 1 Angle definitions Haese and Harris: 1.5
(Assumed Knowledge) Quadrilaterals “Assumed
Triangle congruence Knowledge
Line and rotational symmetry (Geometry),
sections
A,B,C,D,F”
Geometry – Unit 2 Angle properties Haese and Harris: 4
Parallel line postulates Chapter 4 (p. 93-
Triangles 110)
Polygons
Geometry – Unit 3 Pythagorean theorem Haese and Harris: 4
Pythagorean triples Chapter 8 (p. 169-
Applications in circles and 3-d 189)
figures
Geometry – Unit 4 Measurement conversion Haese and Harris: 4
Area and perimeter of polygons Chapter 9 (p.191-
Circles (area, circumference, 208)
sectors)
Algebra – Unit 3 Factorisation (difference of 2 Haese and Harris: 4
squares, four terms, quadratic Some of chapter 1
trinomials where a is any integer) (p. 46-56)
STP Mathematics
3A by Bostock,
Chandler, Shepherd,
Smith
Algebra - Unit 4 Indice laws (including negative and Haese and Harris: 7 (includes review
zero) Chapter 6 (p. 123- day for units 3 and
Standard form 145) 4)
Surds (basic operations and Algebra 1 Skills
properties, simplify, rationalize the Practice by Paul A.
denominator) Foerster
Probability Relative frequency Haese and Harris: 6
Two-way tables Chapter 25 (p. 507-
Expectation 532)
Combined events (Or and And
rules)
Mutually exclusive and
3. independent events
Tree diagrams (with and without
replacement)
Number – Unit 2 Percentages Haese and Harris: 6
Profit/loss Chapter 10 (p.209-
Simple and compound interest 230)
Distance, speed, time, travel graphs
Coordinate geometry Coordinate graphs Haese and Harris: 8
Midpoint and distance formulas Chapter 12 (p.258-
Gradient of a line 274)
Equations of lines (gradient- Haese and Harris:
intercept and Chapter 14 (p.297-
Parallel and perpendicular lines 312)
Lines of symmetry
Linear inequalities
Trigonometry – Unit 1 Right-angled triangles Haese and Harris: 6
Applications (angle of Chapter 15
elevation/depression, 90 degree (Sections A-C and
bearings) E) (p.312-326, 330-
Sine Rule (not Ambiguous Case) 331)
Cosine Rule Haese and Harris:
Chapter 29
(Sections C and D)
(p.585-591)
Statistics – Unit 1 Interpreting graphs (bar chart, line Haese and Harris: 4
graph, pie chart, stem and leaf, Chapter 13 (p.278-
scatter diagram) 293)
Discrete and continuous data
Measures of spread (including
quartiles)
Frequency tables
Grouped data
4. IGCSE International Mathematics Extended Curriculum (Year 2) 2011-12
NUMBER
UNIT NAME CONTENT RESOURCES OF LESSONS
Simplify
Haese and Harris:
Algebraic Fractions Multiply/Divide 4
Ch 16
Add/Subtract
Shading on Cartesian plane
Inequalities H and H: Ch 32A-C 1
Integer solutions within regions
Histograms
Cumulative frequency H and H: Ch 17B
Statistics Unit 2 Correlation and C 4
Line of best fit H and H: Ch 22A-C
Regression line
Translations
Reflections
H and H: Ch 20A- 9 (includes review
Transformations Rotations
H day)
Enlargements/reductions
Stretches
Functions – Unit 1 Mappings H and H: Ch 19A-F 4
Domain/range
Vertical line test
Function notation
Composite functions
Reciprocal functions
Absolute value functions
Functions – Unit 2 Solve quadratic equations H and H: Ch 21A-J 7
Discriminant Law (number of
solutions determined by the
discriminant)
Null Factor Law
Quadratic Formula
Quadratic functions and their graphs
Transformations of quadratics
Finding a quadratic function
5. Geometry – Unit 5 Similar sides of 2D figures Haese and Harris: 8 (includes review
Similar triangles Ch 18 day)
Problem solving H and H: Ch 11
Area/Volume of similar shapes
Circles Circle theorems H and H: Ch 27A-B 2
Cyclic quadrilaterals
Vectors Different types of vectors H and H: Ch 24A - 4
Addition/Subtraction H
Magnitude
Column vector/component form
Parallel/perpendicular vectors
Vectors in geometry
Functions – Unit 3 Behavior of cubics H and H: Ch 23A-D 6
Find the cubic function *** other IGCSE
Inverses text for cubics
Solving and graphing unfamiliar
functions
Tangents to curves
Exponential Functions Evaluate numbers in exponential H and H: Ch 28 A- 2
form and surd form (with and D
without a calculator)
Calculate values of exponential
functions
Solve exponential functions
Application problems
Logarithms Logarithmic and exponential H and H: Ch 31 A- 2
statements E
Log functions and graphs
Inverse of a log function
Rules for logs
Solve log equations
Trig Exact values for multiples of 30, 45, H and H: Ch 15 5
60 and 90 (sections D.2 and
Area of any triangle F)
3-D applications H and H: Ch29
Bearings using Sine and Cosine (sections A.2, B,
rules C.2 ambiguous
6. Compound shapes case only, E – H)
Graphs of sine, cosine and tangent
Find solutions to trig equations
using graph and analytically
Parameters a and b and how they
affect the graphs
Sequences
Variation