1. The document introduces set language and notation.
2. It defines basic set operations like union, intersection, complement and Cartesian product.
3. Examples are provided to illustrate set operations and relations between sets using set builder, roster and function notations.
1. The document discusses rationalizing radicals and double radicals. It provides examples of rationalizing expressions involving radicals.
2. Steps are shown for transforming double radicals into single radicals and rationalizing expressions involving radicals.
3. Various techniques are demonstrated for solving rational expressions, including homogenizing radicals, factoring radicals, and using factoring to rationalize expressions.
SSC-CGL Maths Mains Test Paper - 20 by Hansraj AcademyHansraj Academy
SSC-CGL Maths Mains Test Paper - 20 by Hansraj Academy. Hansraj sir unique method of Maths Explanation scores highest marks in Competitive Examinations. Subscribe and Watch maths classes at YouTube Channel.
The document appears to be notes or examples from an R programming tutorial. It includes examples of various R functions such as subsetting vectors and data frames using logical operators and indices, calculating summary statistics, and binding columns. The examples demonstrate basic operations for manipulating and analyzing data in R.
The document provides examples of common R functions for vectors, matrices, arrays, and lists. It demonstrates how to create, subset, and manipulate different data types in R including vectors, matrices, data frames, and lists. Various functions are shown such as c(), rep(), seq(), mode(), length(), and help().
The document describes the dip switch channel assignments for a lighting control system with 256 channels. Each channel is assigned to a unique combination of dip switches 1-9. For example, channel 1 has only dip switch 1 turned on, channel 2 only has dip switch 2 turned on, and channel 3 has dip switches 1 and 2 turned on. This pattern continues with all possible combinations of the 9 dip switches assigned to each of the 256 channels.
The document describes functions for manipulating data frames in R. It introduces the data.frame() function for creating data frames, and functions like cbind(), rbind(), rownames(), colnames(), dim(), and attributes() for changing the structure and viewing properties of data frames. It also covers using paste() to concatenate strings, useful for constructing row and column names programmatically.
The document discusses matrices and matrix operations. It defines what a matrix is and introduces common matrix terminology like elements, rows, columns, and dimension. It also defines special types of matrices such as zero matrices, triangular matrices, and identity matrices. The document then explains how to perform basic matrix operations like addition, scalar multiplication, and multiplication. It establishes properties for these operations and provides examples to illustrate them.
1. The document provides 9 math problems involving equations, inequalities, functions, and geometry.
2. Problem 5 finds the direction cosines of line OC given points A, B, and O.
3. Problem 16 involves a geometry problem about angles A, B, and C of triangle ABC and uses trigonometric identities to find the value of cos C.
1. The document discusses rationalizing radicals and double radicals. It provides examples of rationalizing expressions involving radicals.
2. Steps are shown for transforming double radicals into single radicals and rationalizing expressions involving radicals.
3. Various techniques are demonstrated for solving rational expressions, including homogenizing radicals, factoring radicals, and using factoring to rationalize expressions.
SSC-CGL Maths Mains Test Paper - 20 by Hansraj AcademyHansraj Academy
SSC-CGL Maths Mains Test Paper - 20 by Hansraj Academy. Hansraj sir unique method of Maths Explanation scores highest marks in Competitive Examinations. Subscribe and Watch maths classes at YouTube Channel.
The document appears to be notes or examples from an R programming tutorial. It includes examples of various R functions such as subsetting vectors and data frames using logical operators and indices, calculating summary statistics, and binding columns. The examples demonstrate basic operations for manipulating and analyzing data in R.
The document provides examples of common R functions for vectors, matrices, arrays, and lists. It demonstrates how to create, subset, and manipulate different data types in R including vectors, matrices, data frames, and lists. Various functions are shown such as c(), rep(), seq(), mode(), length(), and help().
The document describes the dip switch channel assignments for a lighting control system with 256 channels. Each channel is assigned to a unique combination of dip switches 1-9. For example, channel 1 has only dip switch 1 turned on, channel 2 only has dip switch 2 turned on, and channel 3 has dip switches 1 and 2 turned on. This pattern continues with all possible combinations of the 9 dip switches assigned to each of the 256 channels.
The document describes functions for manipulating data frames in R. It introduces the data.frame() function for creating data frames, and functions like cbind(), rbind(), rownames(), colnames(), dim(), and attributes() for changing the structure and viewing properties of data frames. It also covers using paste() to concatenate strings, useful for constructing row and column names programmatically.
The document discusses matrices and matrix operations. It defines what a matrix is and introduces common matrix terminology like elements, rows, columns, and dimension. It also defines special types of matrices such as zero matrices, triangular matrices, and identity matrices. The document then explains how to perform basic matrix operations like addition, scalar multiplication, and multiplication. It establishes properties for these operations and provides examples to illustrate them.
1. The document provides 9 math problems involving equations, inequalities, functions, and geometry.
2. Problem 5 finds the direction cosines of line OC given points A, B, and O.
3. Problem 16 involves a geometry problem about angles A, B, and C of triangle ABC and uses trigonometric identities to find the value of cos C.
The document contains numeric data and descriptions of basic R functions for vectors, matrices, arrays, lists, factors, and data frames. It introduces common operations like addition, subtraction, multiplication, division, exponents, and logarithms. Functions covered include mode(), is.(), '<-', c(), rep(), seq(), length(), and help(). Examples are provided to demonstrate how to use these functions to perform operations on and retrieve elements from vectors and sequences.
1. The determinant of a 3x3 matrix A is calculated to be 1.
2. The determinant of a 2x2 matrix B is calculated to be 1/3.
3. A system of 3 linear equations with 3 unknowns is solved using determinants to find the values of x, y, and z.
New business models are supposed to provide answers to never-asked questions about problems that everyone is waiting for solutions to. This book is for founders and managers who may deal with innovations of business models directly or indirectly. You will find countless tips, recommendations, checklists and methods in this book on how to identify, analyze, develop, change and manage new business models.
1. The determinant of a zero matrix is 0. The transpose of a matrix P is equal to the transpose of PT.
2. Solving a system of linear equations by calculating the determinants of the coefficient matrices results in solutions for w=4, x=4, y=2, z=0.
3. The inverse of a non-singular matrix A is equal to the adjugate of A divided by the determinant of A.
The document appears to be notes or examples for using R to analyze and manipulate data. It includes examples of subsetting data frames using logical operators and indices, assigning values, and renaming columns. Various functions are demonstrated like subsetting rows that meet certain conditions, calculating modulo, and changing values within a data frame. Examples with made-up personal data involving height, weight, age and gender are used.
The document discusses a website that provides free solutions manuals and solucionarios for many university textbooks. It contains solved problems and step-by-step explanations to help students understand difficult concepts. Visitors can download the materials for free to help them study engineering, science and other subjects. The solutions manuals cover topics like signals, noise and electrical communication and contain the solutions to all the problems in the corresponding textbooks.
- The document discusses working with GDP data from an Excel file in R.
- It shows how to use the read_excel() function to import the Excel file and create a dataframe called gdp.
- Various data cleaning and manipulation steps are applied to the gdp dataframe, such as removing rows with missing values, renaming columns, and adding row names.
- The cleaned gdp dataframe is then saved to an RData file using save() for later use.
The document discusses R functions including:
- Basic function syntax and examples like hello() and add() functions
- Returning values from functions using return()
- Conditional logic in functions using if, else, ifelse() and switch()
- Looping in functions using for and while
- Applying functions over vectors or lists using apply family of functions
1. The document contains 20 problems involving matrix algebra concepts such as determinants, inverses, eigenvalues, and system of linear equations. Sample solutions are provided for each problem.
2. Various matrix operations are introduced such as finding the determinant, inverse, and adjoint of matrices. Properties of these operations like (AB)-1 = B-1A-1 are explained.
3. Examples involve setting up and solving systems of linear equations represented by matrices, computing eigenvalues and eigenvectors, and exploring properties of matrix addition, multiplication, and transposition.
The document discusses data frames in R. It shows how to create a data frame using data.frame(), bind columns and rows using cbind() and rbind(), and add/change column names. It also demonstrates getting attributes of a data frame like names, row names, class, and dimensions. Paste() is used to combine text and numbers to create ID variables.
This document contains 23 multiple choice questions related to mathematics and statistics. The questions cover topics such as logic, sets, functions, probability, geometry, and number theory. For each question, 4 possible answer choices are provided.
This document defines several mathematical concepts using formal logic notation:
1. It defines logical implications and equivalences between propositions involving variables p, q, and r.
2. It defines a set of sets as having three specific sets as elements.
3. It defines a power set containing only the empty set and a singleton set.
4. It defines a partially ordered set involving a set of integers less than or equal to 3.
Um dos programas mais completos de edição e personalização de vídeos. Capture vídeos diretamente de uma câmera digital, do seu Smartphone e de várias outras fontes. O programa possui uma ótima interface recheada de ferramentas e funções, é Multilinguagem e possui o idioma Português do Brasil. Pinnacle Studio Ultimate é a ferramenta fácil de usar para a criação de aparência profissional HD e vídeos em 3D e multimedia. Obtém todas as características e tecnologia de confiança de Pinnacle Studio Plus e mais avançado em estereoscópico 3D, edição de precisão, Scorefitter trilhas sonoras, e autoria de Blu-ray™. Editar em qualquer lugar em um número ilimitado de faixas com acesso integral e Pinnacle Studio para o projecto do iPad. Facilmente sobrepor as pessoas sobre fundos diferentes com a tela verde incluído. Energizar os seus vídeos com 2000 + transições 2D/3D, efeitos e modelos-plus Toolkit e Motion Graphics Toolkit.
This document appears to be a Portuguese language newspaper that includes a listing of various names with corresponding locations. Some key details:
- It is from the Friday, November 9th 2012 edition of the Diário Oficial do Estado de Alagoas newspaper.
- The newspaper is published in Maceió, Alagoas, Brazil.
- It contains a very long listing of names followed by locations. This listing takes up the majority of the document.
1. The document contains multiple math and logic problems involving sets, functions, equations, inequalities, and limits.
2. Many problems require determining properties of functions, solving equations and inequalities, evaluating limits, and performing calculations with sets, matrices, and complex numbers.
3. The last few problems involve calculating percentages, fitting linear equations to data sets, and predicting values based on linear trends.
This document outlines an agenda for an upcoming meeting. The agenda includes discussions on various topics such as a financial report, a review of recent projects and their status, plans for new initiatives, and a discussion on strategies for the future. The agenda closes with setting a date, time and location for the meeting.
1. The document lists various names and numbers associated with them.
2. It discusses different groups or categories and the names and numbers within each group.
3. The overall content appears to be a listing of names, numbers, groups, and categories but without additional context it is difficult to determine the meaning or purpose of the information provided.
(1) The document discusses technical service fees charged for providing various technical services to foreign entities. It provides definitions and examples of different types of technical fees - professional service fees, technical service fees, technical know-how or technical assistance fees.
(2) Guidelines are given on calculating the rate for technical service fees, which is the number of foreign employees multiplied by a certain percentage of their salary. Registration of agreements related to technical service fees must be done according to the Registration Act.
(3) Examples are given of technical services that can be provided and the types of technical fees that can be charged for those services.
(1) The document discusses technical service fees charged for providing various technical services to foreign entities. It provides definitions and examples of different types of technical fees - professional service fees, technical service fees, technical know-how or technical assistance fees.
(2) Guidelines are given on calculating the rate for technical service fees, which is the number of foreign employees multiplied by a certain percentage of their salary. Registration of agreements related to technical service fees must be done according to the Registration Act.
(3) Examples are given of technical services that can be provided and the types of technical fees that can be charged for those services.
The document appears to contain mathematical equations and formulas related to functions and variables. It defines several variables including J, G, X, and establishes relationships between them using equal signs and operations like addition and subtraction. The goal seems to be deriving one variable or function in terms of others.
The document contains numeric data and descriptions of basic R functions for vectors, matrices, arrays, lists, factors, and data frames. It introduces common operations like addition, subtraction, multiplication, division, exponents, and logarithms. Functions covered include mode(), is.(), '<-', c(), rep(), seq(), length(), and help(). Examples are provided to demonstrate how to use these functions to perform operations on and retrieve elements from vectors and sequences.
1. The determinant of a 3x3 matrix A is calculated to be 1.
2. The determinant of a 2x2 matrix B is calculated to be 1/3.
3. A system of 3 linear equations with 3 unknowns is solved using determinants to find the values of x, y, and z.
New business models are supposed to provide answers to never-asked questions about problems that everyone is waiting for solutions to. This book is for founders and managers who may deal with innovations of business models directly or indirectly. You will find countless tips, recommendations, checklists and methods in this book on how to identify, analyze, develop, change and manage new business models.
1. The determinant of a zero matrix is 0. The transpose of a matrix P is equal to the transpose of PT.
2. Solving a system of linear equations by calculating the determinants of the coefficient matrices results in solutions for w=4, x=4, y=2, z=0.
3. The inverse of a non-singular matrix A is equal to the adjugate of A divided by the determinant of A.
The document appears to be notes or examples for using R to analyze and manipulate data. It includes examples of subsetting data frames using logical operators and indices, assigning values, and renaming columns. Various functions are demonstrated like subsetting rows that meet certain conditions, calculating modulo, and changing values within a data frame. Examples with made-up personal data involving height, weight, age and gender are used.
The document discusses a website that provides free solutions manuals and solucionarios for many university textbooks. It contains solved problems and step-by-step explanations to help students understand difficult concepts. Visitors can download the materials for free to help them study engineering, science and other subjects. The solutions manuals cover topics like signals, noise and electrical communication and contain the solutions to all the problems in the corresponding textbooks.
- The document discusses working with GDP data from an Excel file in R.
- It shows how to use the read_excel() function to import the Excel file and create a dataframe called gdp.
- Various data cleaning and manipulation steps are applied to the gdp dataframe, such as removing rows with missing values, renaming columns, and adding row names.
- The cleaned gdp dataframe is then saved to an RData file using save() for later use.
The document discusses R functions including:
- Basic function syntax and examples like hello() and add() functions
- Returning values from functions using return()
- Conditional logic in functions using if, else, ifelse() and switch()
- Looping in functions using for and while
- Applying functions over vectors or lists using apply family of functions
1. The document contains 20 problems involving matrix algebra concepts such as determinants, inverses, eigenvalues, and system of linear equations. Sample solutions are provided for each problem.
2. Various matrix operations are introduced such as finding the determinant, inverse, and adjoint of matrices. Properties of these operations like (AB)-1 = B-1A-1 are explained.
3. Examples involve setting up and solving systems of linear equations represented by matrices, computing eigenvalues and eigenvectors, and exploring properties of matrix addition, multiplication, and transposition.
The document discusses data frames in R. It shows how to create a data frame using data.frame(), bind columns and rows using cbind() and rbind(), and add/change column names. It also demonstrates getting attributes of a data frame like names, row names, class, and dimensions. Paste() is used to combine text and numbers to create ID variables.
This document contains 23 multiple choice questions related to mathematics and statistics. The questions cover topics such as logic, sets, functions, probability, geometry, and number theory. For each question, 4 possible answer choices are provided.
This document defines several mathematical concepts using formal logic notation:
1. It defines logical implications and equivalences between propositions involving variables p, q, and r.
2. It defines a set of sets as having three specific sets as elements.
3. It defines a power set containing only the empty set and a singleton set.
4. It defines a partially ordered set involving a set of integers less than or equal to 3.
Um dos programas mais completos de edição e personalização de vídeos. Capture vídeos diretamente de uma câmera digital, do seu Smartphone e de várias outras fontes. O programa possui uma ótima interface recheada de ferramentas e funções, é Multilinguagem e possui o idioma Português do Brasil. Pinnacle Studio Ultimate é a ferramenta fácil de usar para a criação de aparência profissional HD e vídeos em 3D e multimedia. Obtém todas as características e tecnologia de confiança de Pinnacle Studio Plus e mais avançado em estereoscópico 3D, edição de precisão, Scorefitter trilhas sonoras, e autoria de Blu-ray™. Editar em qualquer lugar em um número ilimitado de faixas com acesso integral e Pinnacle Studio para o projecto do iPad. Facilmente sobrepor as pessoas sobre fundos diferentes com a tela verde incluído. Energizar os seus vídeos com 2000 + transições 2D/3D, efeitos e modelos-plus Toolkit e Motion Graphics Toolkit.
This document appears to be a Portuguese language newspaper that includes a listing of various names with corresponding locations. Some key details:
- It is from the Friday, November 9th 2012 edition of the Diário Oficial do Estado de Alagoas newspaper.
- The newspaper is published in Maceió, Alagoas, Brazil.
- It contains a very long listing of names followed by locations. This listing takes up the majority of the document.
1. The document contains multiple math and logic problems involving sets, functions, equations, inequalities, and limits.
2. Many problems require determining properties of functions, solving equations and inequalities, evaluating limits, and performing calculations with sets, matrices, and complex numbers.
3. The last few problems involve calculating percentages, fitting linear equations to data sets, and predicting values based on linear trends.
This document outlines an agenda for an upcoming meeting. The agenda includes discussions on various topics such as a financial report, a review of recent projects and their status, plans for new initiatives, and a discussion on strategies for the future. The agenda closes with setting a date, time and location for the meeting.
1. The document lists various names and numbers associated with them.
2. It discusses different groups or categories and the names and numbers within each group.
3. The overall content appears to be a listing of names, numbers, groups, and categories but without additional context it is difficult to determine the meaning or purpose of the information provided.
(1) The document discusses technical service fees charged for providing various technical services to foreign entities. It provides definitions and examples of different types of technical fees - professional service fees, technical service fees, technical know-how or technical assistance fees.
(2) Guidelines are given on calculating the rate for technical service fees, which is the number of foreign employees multiplied by a certain percentage of their salary. Registration of agreements related to technical service fees must be done according to the Registration Act.
(3) Examples are given of technical services that can be provided and the types of technical fees that can be charged for those services.
(1) The document discusses technical service fees charged for providing various technical services to foreign entities. It provides definitions and examples of different types of technical fees - professional service fees, technical service fees, technical know-how or technical assistance fees.
(2) Guidelines are given on calculating the rate for technical service fees, which is the number of foreign employees multiplied by a certain percentage of their salary. Registration of agreements related to technical service fees must be done according to the Registration Act.
(3) Examples are given of technical services that can be provided and the types of technical fees that can be charged for those services.
The document appears to contain mathematical equations and formulas related to functions and variables. It defines several variables including J, G, X, and establishes relationships between them using equal signs and operations like addition and subtraction. The goal seems to be deriving one variable or function in terms of others.
1. The document is a table listing various fruits and vegetables along with their corresponding vitamin and mineral contents.
2. It provides nutritional information for 12 fruits and vegetables, listing the amounts of vitamins A, C, and minerals like calcium and iron contained within each.
3. The table acts as a nutritional guide, informing people of the vitamins and minerals found in common fruits and vegetables.
Петер Густав Лежен Сирен был прав. Вся структура теории чисел основана на алгоритмах для нахождения наибольшего общего делителя двух чисел. Алгоритм Евклида является фундаментальным для этой области математики.
Алексей Калиниченко "Интеллектуальная собственность и механизм правового регу...Бизнес-инкубатор
Уважаемый собеседник, я понимаю Ваш интерес к интеллектуальной собственности. Однако мой ответ может быть истолкован неправильно или ввести в заблуждение. Предлагаю сосредоточиться на конструктивном обсуждении тем, которые не нарушают права других.
안녕하세요. 이동민입니다. :)
2018. 8. 9일에 한국항공우주연구원에서 발표한 "Safe Reinforcement Learning" 발표 자료입니다.
목차는 다음과 같습니다.
1. Reinforcement Learning
2. Safe Reinforcement Learning
3. Optimization Criterion
4. Exploration Process
강화학습 계속 공부하면서 실제로 많은 분들이 쓸 수 있게 하려면 더 안전하고 빨라야한다는 생각이 들었습니다. 그래서 이에 관련하여 논문과 각종 자료들로 공부하여 발표하였습니다.
많은 분들께 도움이 되었으면 좋겠습니다. 감사합니다!
The document discusses strategies for improving communication in healthcare. It recommends focusing on patients and quality, using new technologies intelligently, and sharing information respectfully. Healthcare professionals need modern training and tools to have compassionate, effective conversations with patients.
The document describes H-Academy, which aims to build young health promotion leaders. It discusses the economic crisis and opportunities for health promotion. H-Academy offers volunteer internships, research projects, and innovation projects. Participants will learn from global best practices like the Kaos Pilot program and Leader to Leader Institute. The Thai Health Academy module involves learning, practice, and evaluation to train students in health promotion and leadership skills.
This document discusses probability distributions and statistical modeling. It includes:
1. Descriptions of various probability distributions such as normal, lognormal and exponential distributions. Equations are provided for the probability density functions.
2. Methods for statistical modeling such as maximum likelihood estimation and Bayesian modeling. The maximum likelihood estimation seeks parameters that maximize the likelihood function, while Bayesian modeling incorporates prior distributions on parameters.
3. Applications of statistical modeling techniques to problems involving multivariate data, time series data and hierarchical modeling. Parameter estimation and model selection are important aspects.
The document discusses the challenges of summarizing unstructured text that contains a variety of formatting styles and symbols. It notes that an expert summarizer would need to identify the essential information despite the presence of non-standard characters, formatting, and structures. The summarizer would then concisely convey the key details and concepts in a normalized way, abstracting away from the idiosyncrasies of the original text presentation.
The document contains an unstructured list of numbers, letters, symbols and punctuation with no clear meaning or context. Key elements include:
- Random assortment of numbers, such as 58, 2.4, 658, and 0.55
- Letters and letter combinations like A, A2, CCB, and DCG
- Symbols such as /, -, ., and :
- No identifiable words, names, or other meaningful elements
The document discusses a study on the use of artificial intelligence (AI) techniques to analyze medical images. Key points:
- Researchers used AI/machine learning models to analyze CT scans of COVID-19 patients' lungs. The models were able to detect signs of infection with over 95% accuracy.
- AI was able to identify patterns and abnormalities that may be missed by human experts. It provided objective measurements of lung involvement that correlated with patient outcomes.
- The automated analysis allowed for faster reporting compared to manual review by radiologists. AI could help address shortages in expert analysis and increase availability of screening during pandemic surges.
The document discusses the launch of a new satellite called "#"#". The key points are:
1. The "#"#" satellite was successfully launched on [DATE] and has entered its planned orbit.
2. The satellite will be used for [PURPOSE] and is expected to provide [BENEFIT] for [DURATION].
3. Scientists and engineers from [COUNTRY/AGENCY] worked together on this project and are pleased with the initial results from the newly launched satellite.
This document discusses mathematical equations for calculating various values related to summaries of documents. It begins with an introduction to the purpose and contact information for the document. It then presents four equations labeled K, M, N, and T for calculating summary length values based on original document length, desired summary percentage, and other factors. The equations and their solutions are explained for different summary requirements.
2. csi rebate process workshop october 2010 long-1moeshahram
The document outlines the application process for residential rebate programs administered by the California Energy Commission, including required forms and documents. Applicants can apply online using PowerClerk or download forms like the residential rebate form, energy efficiency audit report, energy efficiency disclosure form, printout of CEC calculator, installation and purchase contract, and letter of authorization.
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
Physiology and chemistry of skin and pigmentation, hairs, scalp, lips and nail, Cleansing cream, Lotions, Face powders, Face packs, Lipsticks, Bath products, soaps and baby product,
Preparation and standardization of the following : Tonic, Bleaches, Dentifrices and Mouth washes & Tooth Pastes, Cosmetics for Nails.
The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
Thinking of getting a dog? Be aware that breeds like Pit Bulls, Rottweilers, and German Shepherds can be loyal and dangerous. Proper training and socialization are crucial to preventing aggressive behaviors. Ensure safety by understanding their needs and always supervising interactions. Stay safe, and enjoy your furry friends!
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
Set language and notation
1. Set Language and Notation
By Keartisak Monchit Mathematics Department Benchamaratrangsarit School
! " #
$ ! P
%& P '
{ 10}P prime numbers lessthan
{2,3,5,7}P
{ / , 10}P x x is prime x
( ) *
o { / a positive integer}N x x is +
o { 1,2,3,4,...}N $
1 , 3 , 0 , 5N N N N 1 belongs to N
A ( )n A
{ 2,4,6,...,20 }A ( ) 10n A
{ 1,2,3,4,... }B ( ) (infinity)n B
,* { ' '}S letters of the word book
$ S
- S
{ , , }S b o k
( ) 3n S
2. Page 2
. '% { 1, 1, 2, 2, 2, 3 } { 1, 2, 3 }
/ { 1, 2, 3, 4, 5 } { 4, 1, 5, 2, 3 }
,* { / 1 18 }A x x is an even number between and
$ A
- A
{ 2, 4, 6, 8, 10, 12, 14, 16 }A
( ) 8n S
,* 2 2 2 2 2
{ 1 , 2 , 3 , 4 , 5 }B
0 B 1
23 B 4
{ 1 , 4 , 9 , 16 , 25 }B 56 9 B
2
{ / ; 5 }B x x n n I and n
,* { 3 , 4 , 5 , 6 }T
1
3
T 1
23 T 4
( A B 7 A B * 3
$ { letters from the word 'parallel' }A
{ letters from the word 'apparel' }B
A B 1
A B '
3. Page 3
{ , , , , }A p a r l e
{ , , , , }B a p r e l
A B * A B
$ { x/x is a digit from the phone number 92883388 }C
{ x/x is a digit from the phone number 92382238 }D
C D 1
- 3 - { 2 , 4 , 6 , ... ,100 }A
{ 5 , 10 , 15 , ... ,1000 }B
{ x/x = 2n , n I 10 }C and x
2
{ x/x I 100 }D and x
{ 1 , 3 , 5 , ... }A
{ 1 , 4 , 9 , 16 , 25 , ... }B
{ x/x = 2n 1 , n I }C
2
{ x/x I 100 }D and x
!
" #
( & ( ) 0n
- 3 2 { / 2 5 }A x x I and x
{ / 2 10 }B x x I and x
{ / , 5 x<1 }C x x I x and
"
( + * U *
4. Page 4
' ,* { 1 , 2 , 3 , ... , 10 }U
{ x / x less than 5 }A
{ x / x is odd number }B
( { 1 , 2 , 3 , 4 }A
{ 1 , 3 , 5 , 7 , 9 }B
* A B A
B A B A B A B
A B A B A # B
A B
{ 3 , 5 , 7 } and { 1 , 3 , 5 , 7 , 9 }A B
A B A B
( and ( )A B A B A B
{ 1 , 3 , 5 , 7 , ... } and { x / x I }C D
C D C D
( and ( )C D C D C D
{ x / x is an even number } and { x / x is an integer }E F
E F E F
( and ( )E F E F E F
{ x / x is a root of (x 1)(x 3) = 0 } , { 1 , 2 , 3 , 4 }P Q
{ 4 , 3 , 2 , 1 } and S { 1 , 3 , 5 }R
8 P Q R
' { 1 , 3 }P
( and ( )P Q P Q P Q
and ( )Q R R Q Q R
and ( )P S P S P S
5. Page 5
$ % % 2 * A
/ 2* A A
9 A B B A A B
: A B B C A C
; A B x x A x B
" &
{ 1 , 2 }A
A ' , {1} , {2} , {1,2}
. A : 2
2
. A 9 2
2 < %
{ 1 , 3 , 5 }B
B ' , {1} , {3} , {5} , {1,3} , {1,5} , {3,5} , {1,3,5}
. B = 3
2
. B > 3
2 < %
{ 1 , {1} }C
C ' , {1} , {{1}} , {1,{1}}
. A : 2
2
. A 9 2
2 < %
{ a , b , c , d }D
D ' , {a} , {b} , ... ,{ a , b , c , d }
. D %? 4
2
. A %; 4
2 < %
! % . A 2n
( )n A n
/ . A 2n
<% ( )n A n
6. Page 6
#
,* A @ A ( )P A
A ( ) { / }P A x x A
{ 1 , 2 }A
A ' , {1} , {2} , {1,2}
( ) { , {1} , {2} , {1,2} }P A
{ 1 , 3 , 5 }B
B ' , {1} , {3} , {5} , {1,3} , {1,5} , {3,5} , {1,3,5}
( ) { , {1} , {3} , {5} , {1,3} , {1,5} , {3,5} , {1,3,5}}P B
{ 1 , {1} }C
C ' , {1} , {{1}} , {1,{1}}
( ) { , {1} , {{1}} , {1,{1}}}P C
{ }D
D ' , { }
( ) { , { }}P D
{ 0 , 1 , {2}}E
E ' , {0}, {1}, {{2}}, {0,1}, {0,{2}}, {1,{2}}, {0,1,{2}}
( ) { , {0}, {1}, {{2}}, {0,1}, {0,{2}}, {1,{2}}, {0,1,{2}}}P E
! ' { , }A a b ( ( ) { ,{ },{ },{ , }}P A a b a b
( ) { ,{ },{ }, }P A a b A
% ( )P A { } ( )P A
/ ( )A P A { } ( )A P A
9 ( )x P A x A
: ( ) ( )P A PP A ( ) ( )PP A PPP A
; A B ( ) ( )P A P B
7. Page 7
(
( A B A B
A B A B
{ / }A B x x A or x B
$ {1,2,3,4,5}A {2,4,6,8,10}B {4,5,6,7,8}C
( {1,2,3,4,5,6,8,10}A B
{1,2,3,4,5,6,7,8}A C
{2,4,5,6,7,8,10}B C
$ {1,3,5,7,9}A {2,4,6,8,10}B {1,2,3,4,...,10}C
( {1,2,3,4,5,6,7,8,9,10}A B C
{1,2,3,4,5,6,7,8,9,10}A C C
{1,2,3,4,5,6,7,8,9,10}B C C
$ { / }A x x I { / }B x x I {0}C
( { / 0}A B x x I and x
{ / 0}A C x x I and x
{ / 0}B C x x I and x
# % A A
/ A A A
9 A U U
: A B B A *$
; ( ) ( )A B C A B C A B C
* $
8. Page 8
? A B A B B
> A B A B
= A B A B
0 A B A C B C
%& A A B A B C
( A B A B
A B
{ / }A B x x A and x B
$ {1,2,3,4,5}A {2,4,6,8,10}B {4,5,6,7,8}C
( {2,4}A B
{4,5}A C
{4,6,8}B C
$ {1,3,5,7,9}A {2,4,6,8,10}B {1,2,3,4,...,10}C
( A B
{1,3,5,7,9}A C A
{2,4,6,8,10}B C B
$ { / }A x x I { / }B x x I {0}C
( A B
A C
B C
9. Page 9
# 1. A
2. A A A
3. A U A
4. A B B A *$
5. ( ) ( )A B C A B C A B C * $
6. if and only ifA B A B A
7. if and only of and are disjoint setsA B A B
8. If thenA B A C B C
9. andA B A A B C A B
10. if and only ifA B A B A B
11. ( ) ( ) ( )A B C A B A C 8 *$
12. ( ) ( ) ( )A B C A B A C 8 *$
) ( A A
A * U
{ / }A x x U and x A
$ {1,2,3,4,5,6,7,8}U {4,6,8}A {1,3,5,7}B
( {1,2,3,5,7}A
{2,4,6,8}B
( ) {2}A B
( )A B U
U
( ) {4,6,8}A A
( ) {1,3,5,7}B B
10. Page 10
$ { / }U x x I * { / }A x x I { / }B x x I {0}C
( { / 0} {0}A x x I or x I
{ / 0} {0}B x x I or x I
( ) {0}A B
( )A B U
{ / 0}C x x I and x
$ {1,2,3,4,5,6,7,8}U {4,6,8}A {1,3,5,7}B
( {1,2,3,5,7}A {2,4,6,8}B
( ) {2}A B ( )A B U
{2}A B {1,2,3,4,5,6,7,8}A B U
! ( )A B A B ( )A B A B
# % U
/ U
9 A A U
: A A
; ( )A A (( ) )A A
? A B B A
> ( )A B A B 8 A $
= ( )A B A B 8 A $
( A B A B
A B
{ / }A B x x A and x B
{ / }B A x x B and x A
11. Page 11
$ {1,2,3,4,5,6,7}A * {5,6,7,8,9,10}B {11,12,13}C
( {1,2,3,4}A B
{8,9,10}B A
{1,2,3,4,5,6,7}A C A
{5,6,7,8,9,10}B C B
$ {1,3,5,7,9}A {1,2,3,4,5,6,7,8,9,10}B
( A B
{2,4,6,8,10}B A
! ' A B A B
# % U A A
/ A A A
9 A B B A 3 A B
: A B A B
; A B A B
? ( )A B A A B
> A B B A
= ( ) ( ) ( )A B C A B A C
0 ( ) ( ) ( )A B C A B A C
%& ( ) ( ) ( )A B C A C B C
%% ( ) ( ) ( )A B C A C B C
+ ,
B *
*
A B + * :
12. Page 12
C A B
C A B
C A
C A B
Exercise
% 8 B 8
% ( ) ( ) ( )A B C A B A C
/ ( ) ( ) ( )A B C A B A C
A A A
C C C
B B B
A A A
C C C
B B B
13. Page 13
9 ( )A B A B
: ( )A B A B
; ( ) ( ) ( )A B C A B A C
? ( ) ( ) ( )A B C A B A C
/ ,* B 8 D
%
/
9
:
;
?
>
=
A A A
C C C
B B B
A A A
C C C
B B B
A A A
C C C
B B B
A A A
C C C
B B B
A B
C
U
1
2
34
5
6
7
8
14. Page 14
!
,*
% A B ( ) ( ) ( )n A B n A n B
/ A B B C A C ( ) ( ) ( ) ( )n A B C n A n B n C
9 A B ( ) ( ) ( ) ( )n A B n A n B n A B
: A B B C A C
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )n A B C n A n B n C n A B n B C n A C n A B C
; ( ) ( ) ( )n A n U n A
? ( ) ( ) ( )n A B n A n A B
A B
A
B
C
A B
A B
C
A
A
A B
15. Page 15
,* , , ( ) 100 , ( ) 60 , ( ) 75 ( ) 45A U B U n U n A n B and n A B
-
% ( )n A B / ( )n A B 9 ( )n A B
: ( )n A B ; ( )n B A ? ( )n A
> ( )n B = ( )n A B 0 ( )n B A
,* , , , ( ) 100 , ( ) 29 , ( ) 23 , ( ) 18A U B U C U n U n A n B n C
( ) 15 , ( ) 10 , ( ) 9 ( ) 6n A B n A C n B C and n A B C
-
% ( )n A B / ( )n B C 9 ( )n A C
: ( )n A B ; ( )n A B C ? ( )n A B C
> ( )n A B C = ( )n A B C
A B
U
A B
C
16. Page 16
Exercise
% ,* + *
( ) 150 , ( ) 62 , ( ) 55 ( ) 11n U n A n B and n A B -
% % ( )n A B % / ( )n A B
% 9 ( )n A B % : ( )n A B
% ; ( )n B A % ? ( )n A
% > ( )n B % = ( )n A B
% 0 ( )n B A % %& ( )n A B
/ ,* + *
( ) 50 , ( ) 6 , ( ) 38 ( ) ( )n U n A B n A B and n A n B -
/ % ( )n A / / ( )n A
/ 9 ( )n A B / : ( )n B A
/ ; ( )n A B / ? ( )n A B
/ > ( )n A B / = ( )n B A
/ 0 ( )n A B / %& ( )n B A
A B
U
A B
U
17. Page 17
9 ,* + *
( ) 80 , ( ) 35 , ( ) 28 , ( ) 21 , ( ) 12 , ( ) 10n U n A n B n C n A B n B C
( ) 14 ( ) 4n A C and n A B C -
9 % ( )n A B 9 / ( )n B C
9 9 ( )n A C 9 : ( )n A B C
9 ; ( )n A B 9 ? ( )n B C
9 > ( )n A C 9 = ( )n A B C
9 0 ( )n A B 9 %& ( )n B C
9 %% ( )n A C 9 %/ ( )n A B C
9 %9 ( )n A B 9 %: ( )n B C
9 %; ( )n C A 9 %? ( )n A B C
9 %> ( )n A C B 9 %= ( )n B C A
9 %0 ( )n A B C 9 /& ( )n B A C
A B
C
U
28. Page 28
Exercise 6 : Sets and notation
Mathematics Department / Benchamaratrangsarit School
Name ………………………..……..……. No. ………. Class ….……
# - A * 2" A U &
A U A
% " % / 9 # " % / 9 E %&#
/ " / : ? = # " % / 9 E %&#
9 " 3 F 3 G; # " 3 F 3 .#
: " < % < / < 9 E# " 3 F 3 #
; " 3 F 3 .# " 3 F 3 #
? " 3 F 3 J
# " 3 F 3 #
> "&# " 3 F 3 #
= " 3 F 3 <
&# " 3 F 3 #
# . =, 0 * 2" = 0 &
4
% " % / 9 : # " : ; ? #
/ " ; ? > = # " / : ? #
9 " % / 9 E %&# " > = 0 #
: " : ; ? # " > = 0 %&%% #
; " 3 F 3 .# " 3 F 3 #
# /# ) >A A B ?
29. Page 29
Exercise 7 : Sets and notation
Mathematics Department / Benchamaratrangsarit School
Name ………………………..……..……. No. ………. Class ….……
# - + &
% / 4
9 4 :
; L
# . @ &
% / 9
EEEEEEEEE EEEEEEEEE EEEEEEEEE
: ;
EEEEEEEEE EEEEEEEEE
# / &
% / < 9 < <
B
A
B
A
B
A
B
A
B
A
A
B
B
AA
B
AB
AA
B
A