Set theory is the branch of mathematics that studies sets and their properties. A set is a collection of distinct objects, which can include numbers, points, or other sets. Some key concepts in set theory include:
- The membership relation, where an object is either a member or not a member of a given set.
- Subset and union operations on sets, such as combining elements that are members of either or both sets.
- Defining sets explicitly by listing elements or implicitly with properties that elements must satisfy.
- Distinguishing between finite sets with a defined number of elements and infinite sets without a defined number.
Maths Class 12 Probability Project PresentationAaditya Pandey
Class 12 Maths Presentation on Probability. Mathematics Project Class 12th on Chapter 13 Probability. Project in English. Chapter 13 Up to 2020-21 Revised syllabus up to Baye's Theorem.
Maths Class 12 Probability Project PresentationAaditya Pandey
Class 12 Maths Presentation on Probability. Mathematics Project Class 12th on Chapter 13 Probability. Project in English. Chapter 13 Up to 2020-21 Revised syllabus up to Baye's Theorem.
PROJECT (PPT) ON PAIR OF LINEAR EQUATIONS IN TWO VARIABLES - CLASS 10mayank78610
THIS A PROJECT BEING MADE BY INFORMATION COLLECTED FROM CLASS 10 MATHS NCERT BOOK.
THANK YOU FOR SEEING MY PROJECT ... I THINK THIS MIGHT HELP YOU IN YOUR HOLIDAY HOMEWORK PROJECTS .
Here's my Mathematics Board Practical File. I hope you find it as useful as it was to me. I constantly got complimented for my file from internal as well as external teachers so I thought of sharing my work with all of you. This file is however of CBSE class 12th 2020-2021 syllabus.
This presentation describes Matrices and Determinants in detail including all the relevant definitions with examples, various concepts and the practice problems.
Physical education practical file- Ssaksham
Sport- Volleyball
ASANAS
BMI(Body mass index)
AAHPERD
Resting heart rate
Rikli and Jones senior citizen fitness test
barrow three item general motor ability test
class 12
CBSE 2017-2018
PHYSICS INVESTIGATORY PROJECT
AIM:-
CHARGING AND DISCHARGING OF CAPACITORS IN R-C CIRCUIT
PURPOSE
THE GOAL OF THIS PROJECT IS TO verify that 63% charge is stored in a capacitor in an R-C circuit at its time constant and 63% charge remains when capacitor is discharged and hence plot a graph between voltage and time
PROJECT (PPT) ON PAIR OF LINEAR EQUATIONS IN TWO VARIABLES - CLASS 10mayank78610
THIS A PROJECT BEING MADE BY INFORMATION COLLECTED FROM CLASS 10 MATHS NCERT BOOK.
THANK YOU FOR SEEING MY PROJECT ... I THINK THIS MIGHT HELP YOU IN YOUR HOLIDAY HOMEWORK PROJECTS .
Here's my Mathematics Board Practical File. I hope you find it as useful as it was to me. I constantly got complimented for my file from internal as well as external teachers so I thought of sharing my work with all of you. This file is however of CBSE class 12th 2020-2021 syllabus.
This presentation describes Matrices and Determinants in detail including all the relevant definitions with examples, various concepts and the practice problems.
Physical education practical file- Ssaksham
Sport- Volleyball
ASANAS
BMI(Body mass index)
AAHPERD
Resting heart rate
Rikli and Jones senior citizen fitness test
barrow three item general motor ability test
class 12
CBSE 2017-2018
PHYSICS INVESTIGATORY PROJECT
AIM:-
CHARGING AND DISCHARGING OF CAPACITORS IN R-C CIRCUIT
PURPOSE
THE GOAL OF THIS PROJECT IS TO verify that 63% charge is stored in a capacitor in an R-C circuit at its time constant and 63% charge remains when capacitor is discharged and hence plot a graph between voltage and time
This is a powerpoint presentation that discusses about the topic or lesson: Conic Sections. It also includes the definition, types and some terminologies involved in the topic: Conic Sections.
The data is present below the pictures so as to edit it as per your needs. I wanted to use good fonts and this was the only way i could do it as the fonts would not be available on your computer.
Introduction to Sets and Set Operations. The presentation include contents of a KWLH Chart, Essential Questions, and Self-Assessment Questions. With exploration and formative assessments.
A power point presentation on the topic SETS of class XI Mathematics. it includes all the brief knowledge on sets like their intoduction, defination, types of sets with very intersting graphics n presentation.
After going through this module, you are expected to:
• define well-defined sets and other terms associated to sets
• write a set in two different forms;
• determine the cardinality of a set;
• enumerate the different subsets of a set;
• distinguish finite from infinite sets; equal sets from equivalent sets
• determine the union, intersection of sets and the difference of two sets
This slide help in the study of those students who are enrolled in BSCS BSC computer MSCS. In this slide introduction about discrete structure are explained. As soon as I upload my next lecture on proposition logic.
Explore the foundational concepts of sets in discrete mathematicsDr Chetan Bawankar
Explore the foundational concepts of sets in discrete mathematics with this comprehensive PowerPoint presentation. Whether you are a student delving into the world of discrete structures or an enthusiast eager to understand the fundamentals, this presentation serves as an insightful guide.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
Maths Project 11 class(SETS)
1.
2.
3. Set theory is the branch of mathematics that studies
sets, which are collections of objects. Although any
type of object can be collected into a set, set theory is
applied most often to objects that are relevant to
mathematics.
The modern study of set theory was initiated by
Cantor and Dedekind in the 1870s. After the discovery
of paradoxes in informal set theory, numerous
axiom systems were proposed in the early twentieth
century, of which the Zermelo–Fraenkel axioms, with
the axiom of choice, are the best-known.
4. Set theory begins with a fundamental binary relation between an
object o and a set A. If o is a member (or element) of A, we
write . Since sets are objects, the membership relation can relate
sets as well.
A derived binary relation between two sets is the subset relation,
also called set inclusion. If all the members of set A are also
members of set B, then A is a subset of B, denoted . For
example, {1,2} is a subset of {1,2,3}, but {1,4} is not. From this
definition, it is clear that a set is a subset of itself; in cases where
one wishes to avoid this, the term proper subset is defined to
exclude this possibility.
5. Just as arithmetic features
binary operations on numbers, set theory
features binary operations on sets. The:
1) Union of the sets A and B, denoted , is the
set whose members are members of at least one of A
or B. The union of {1, 2, 3} and {2, 3, 4} is the set {1,
2, 3, 4}.
6.
7. 3) Complement of set A relative to set U, denoted , is the set
of all members of U that are not members of A. This terminology
is most commonly employed when U is a universal set, as in the
study of Venn diagrams. This operation is also called the set
difference of U and A, denoted The complement of {1,2,3}
relative to {2,3,4} is {4}, while, conversely, the complement of {2,3,4}
relative to {1,2,3} is {1}.
8. •Symmetric difference of sets A and B is
the set whose members are members of
exactly one of A and B. For instance, for the
sets {1,2,3} and {2,3,4}, the symmetric
difference set is {1,4}.
9. The power set of a
set Ais the set
whose members are
all possible subsets
of A For example,
.
the power set of { 1,
2} is { { } , { 1} , { 2} ,
{ 1,2} } .
10.
11. In this we define a set by actually
listing its elements, for example , the
elements in the set A of letters of the
English alphabet can be listed as
A={a,b,c,……….,z}
NOTE: We do not list an element more
than once in a given set
12. In this form,set is defined by stating properties which the
statements of the set must satisfy.We use braces { } to write
set in this form.
The brace on the left is followed by a lower case italic letter
that represents any element of the given set.
This letter is followed by a vertical bar and the brace on the
left and the brace on the right.
Symbollically, it is of the form {x|- }.
Here we write the condition for which x satisfies,or more
briefly, { x |p(x)},where p(x) is a preposition stating the
condition for x.
The vertical is a symbol for ‘such that’ and the symbolic form
A={ x | x is even } reads
“A is the set of numbers x such that x is even.”
Sometimes a colon: or semicolon ; is also used in place of the
13. A set is finite if it consists of a
definite number of different elements
,i.e.,if in counting the different
members of the set,the counting
process can come to an end,otherwise
a set is infinite.
For example,if W be the set of people
livilng in a town,then W is finite.
If P be the set of all points on a line
between the distinct points A and B
14. A set that contains no members is called
the empty set or null set .
For example, the set of the months of a
year that have fewer than 15 days has
no member
.Therefore ,it is the empty set.The empty
set is written as { }
15. Equal sets are sets which have the
same members.For example, if
P ={1,2,3},Q={2,1,3},R={3,2,1}
then P=Q=R.
16.
17.
18. (1) EvEry sEt is a subsEt of itsElf.
(2) thE Empty sEt is a subsEt of EvEry
sEt.
(3)