The document discusses several fundamental concepts of algebra including:
1. Different types of numbers such as integers, rational numbers, and irrational numbers.
2. Properties of operations like addition, subtraction, multiplication, and division.
3. Exponent rules for simplifying expressions with exponents like multiplying terms with the same base.
-Suma, Resta y Valor Numérico de Expresiones Algebraicas
-Multiplicación y División de Expresiones Algebraicas
-Productos Notables de Expresiones Algebraicas
-Factorización por Productos Notables
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
Maruthi Prithivirajan, Head of ASEAN & IN Solution Architecture, Neo4j
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Encryption in Microsoft 365 - ExpertsLive Netherlands 2024Albert Hoitingh
In this session I delve into the encryption technology used in Microsoft 365 and Microsoft Purview. Including the concepts of Customer Key and Double Key Encryption.
GridMate - End to end testing is a critical piece to ensure quality and avoid...ThomasParaiso2
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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.
Goodbye Windows 11: Make Way for Nitrux Linux 3.5.0!SOFTTECHHUB
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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
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Climate Impact of Software Testing at Nordic Testing DaysKari Kakkonen
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
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.
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.
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Presented by Vladimir Iglovikov:
- https://www.linkedin.com/in/iglovikov/
- https://x.com/viglovikov
- https://www.instagram.com/ternaus/
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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
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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.
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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
Elizabeth Buie - Older adults: Are we really designing for our future selves?
Math1 1
1. Fundamental concepts of Algebra Fujairah Collage Department of Information Technology Fundamental concepts of Algebra Asmaa Abdullah
2. Real Numbers Fundamental concepts of Algebra Asmaa Abdullah
3. Different types of Numbers are: 1.Positive integers or natural numbers . N={1,2,3…..} 2.Whole numbers or non-negative numbers. W={0} + N … ., -4,-3,-2,-1,0,1 ,2,3,4,… 3.Rational numbers. A rational number is a number that can be expressed as a fraction or ratio ) rational ). The numerator and the denominator of the fraction are both integers . When the fraction is divided out, it becomes a terminating or repeating decimal . Rational numbers can be ordered on a number line .
4. Examples of rational numbers are : Rational numbers are " nice " numbers . They are easy to write on paper This means that the rational numbers are : * It’s a real number can be expressed in the for a/b, b=0 * every integer is a rational number. * every real number can be expressed as decimal either: - terminated(5/4) - non-terminated (177/55) Fundamental concepts of Algebra Asmaa Abdullah can also be written as -1.25 can also be written as .5 can also be written as -2.0 can also be written as -2 or 6.0 6 or can also be written as
5. Examples : Write each rational number as a fraction : 1- 0.3 2- 0.007 3- -5.9 Fundamental concepts of Algebra Asmaa Abdullah
6. 4- An irrational number can not be expressed as a fraction . In decimal form, irrational numbers do not repeat in a pattern or terminate . They " go on forever " ( infinity ( Examples of irrational numbers are : 3.141592654 = …… 1.414213562 = ……
7. Note : Many students think is a terminating decimal, 3.14, but " we " have rounded it to do math calculations . is actually a non - ending decimal and is an irrational number . Irrational numbers are " not nice " numbers . The decimal is impossible to write on paper because it goes on and on and on ….. Rational and irrational numbers are real numbers
8. The family tree For our numbers Fundamental concepts of Algebra Asmaa Abdullah Complex Numbers Real Numbers Rational Numbers Irrational Numbers Integers 0 Positive integers Negative integers
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17. Fundamental concepts of Algebra Asmaa Abdullah Basic Number Properties: Associative, Commutative, and Distributive There are three basic properties of numbers, and you'll probably have just a little section on these properties, maybe at the beginning of the course, and then you'll probably never see them again (until the beginning of the next course). Covering these properties is a holdover from the "New Math" fiasco of the 1960s. While these properties will start to become relevant in matrix algebra and calculus (and become amazingly important in advanced math, a couple years after calculus), they really don't matter a whole lot now. Why not? Because every math system you've ever worked with has obeyed these properties. You have never dealt with a system where a × b didn't equal b × a , for instance, or where ( a × b )× c didn't equal a ×( b × c ). Which is why the properties probably seem somewhat pointless to you. Don't worry about their "relevance" for now; just make sure you can keep the properties straight so you can pass the next test. The lesson below explains how I kept track of the properties.
18. Distributive Property The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as " a ( b + c ) = ab + ac ". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out) ; any time a computation depends on multiplying through a parentheses (or factoring something out) , they want you to say that the computation uses the Distributive Property. So, for instance: Why is the following true? 2( x + y ) = 2 x + 2 y Since they distributed through the parentheses, this is true by the Distributive Property Fundamental concepts of Algebra Asmaa Abdullah
19. Associative Property "Associative" comes from "associate" or "group", so the Associative Property is the rule that refers to grouping. For addition, the rule is " a + ( b + c ) = ( a + b ) + c "; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is " a ( bc ) = ( ab ) c "; in numbers, this means 2(3×4) = (2×3)4. Any time they refer to the Associative Property, they want you to regroup things; any time a computation depends on things being regrouped, they want you to say that the computation uses the Associative Property. Fundamental concepts of Algebra Asmaa Abdullah
20. Commutative Property "Commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is " a + b = b + a "; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is " ab = ba "; in numbers, this means 2×3 = 3×2. Any time they refer to the Commutative Property, they want you to move stuff around; any time a computation depends on moving stuff around, they want you to say that the computation uses the Commutative Property. Fundamental concepts of Algebra Asmaa Abdullah
21. Let a , b , and c be real numbers, variables, or algebraic expressions . Multiplicative Inverse Property Note : a can not = 0 9. 3 + (-3) = 0 Additive Inverse Property a + ( - a)=0 8. 3 • 1 = 3 Multiplicative Identity Property a • 1 = a 7. 3 + 0 = 3 Additive Identity Property a + 0 = a 6. 2 • ( 3 + 4 ) = 2 • 3 + 2 • 4 Distributive Property a • (b + c) ) = a • b ) + ( a • c) 5. 2 • ( 3 • 4 ) = ( 2 • 3 ) • 4 Associative Property of Multiplication a • (b • c ) = ( a • b • ) c 4. 2 + ( 3 + 4 ) = ( 2 + 3 ) + 4 Associative Property of Addition a + (b + c ) = ( a + b ) + c 3. 2 • ( 3 ) = 3 • ( 2 ) Commutative Property of Multiplication a • b = b • a 2. 2 + 3 = 3 + 2 Commutative Property of Addition a + b = b + a 1. Example Property
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23. Exponents: Basic Rules Exponents are shorthand for multiplication: (5)(5) = 25, (5)(5)(5) = 135. The "exponent" stands for however many times the thing is being multiplied. The thing that's being multiplied is called the "base". This process of using exponents is called "raising to a power", where the exponent is the "power“. "5 3 " is "five, raised to the third power". When we deal with numbers, we usually just simplify; we'd rather deal with "27" than with "3 3 ". But with variables, we need the exponents, because we'd rather deal with " x 6 " than with " xxxxxx ". Fundamental concepts of Algebra Asmaa Abdullah
24. There are a few rules that simplify our dealings with exponents. Given the same base, there are ways that we can simplify various expressions. For instance: Simplify ( x 3 )( x 4 ) Think in terms of what the exponents mean: ( x 3 )( x 4 ) = ( xxx )( xxxx ) = xxxxxxx = x 7 Exponents: Basic Rules ...which also equals x(3+4 ). This demonstrates a basic exponent rule: Whenever you multiply two terms with the same base, you can add the exponents: ( x m ) ( x n ) = x ( m + n ) Note that we cannot simplify (x 4 )(y 3 ), because the bases are different: (x 4 )(y 3 ) = xxxxyyy = (x 4 )(y 3 ). Fundamental concepts of Algebra Asmaa Abdullah
25. Simplify ( x 2 ) 4 Again, think in terms of what the exponents mean: ( x 2 ) 4 = ( x 2 )( x 2 )( x 2 )( x 2 ) = ( xx )( xx )( xx )( xx ) = xxxxxxxx = x 8 ...which also equals x ( 2×4 ). This demonstrates another rule: Whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power: ( x m ) n = x m n If you have a product inside parentheses, and a power on the parentheses, then the power goes on each element inside. For instance, ( xy 2 ) 3 = ( xy 2 )( xy 2 )( xy 2 ) = ( xxx )( y 2 y 2 y 2 ) = ( xxx )( yyyyyy ) = x 3 y 6 = ( x ) 3 ( y 2 ) 3
26. Fundamental concepts of Algebra Asmaa Abdullah Exponents: Basic Rules 5 -3 =1/5 3 a -n = 1 /a n 3 0 =1 a 0 =1 Illustration Definition ) a=0)
27. Fundamental concepts of Algebra Asmaa Abdullah Exponents: Basic Rules (2 3 /2 5 ) =1/(2 5 - 3 ) =1/(2 2 ) a n /a m = 1/ a n-m (2 5 /2 3 ) =(2 5 - 3 ) =(2 2 ) a m /a n = a m-n (2/5) 3 =(2 5 )/ (5 3 ) (a/b) n = a n /b n (2.10 ) 3 = (2) 3 .(10 ) 3 (ab) n =a n b n (2 3 ) 4 = (2 3.4 ) = (2 12 ) (a m ) n =a mn 3 2 3 4 =3 2+4 =3 6 a m a n =a m+n Illustration Law
28. Fundamental concepts of Algebra Asmaa Abdullah Mathematical Terms The set of numbers beginning with one {1, 2, 3, ...} used for most counting Natural Numbers or Counting Numbers A set contained in another set Subset Set A set in which it is not possible to name all members Infinite A set in which all members can be listed Finite Set A set with no members Empty Set/Null Set A group or collection of objects Set
29. Mathematical Terms Find the numerical value of an expression Evaluate A combination of numbers and mathematical operations Expression The set of integers and all fractions and their decimal equivalents Rational Numbers The set of whole numbers and their opposites Integers The set of natural numbers that includes zero as an element {0, 1, 2, ...} Whole Numbers