Operations with sets
•Download as PPTX, PDF•
0 likes•626 views
The document discusses set operations including unions, intersections, differences of sets, and Cartesian products. Ordered pairs are used in Cartesian products where order matters, unlike sets where order does not. Cartesian products pair each element of one set with each element of another set. The cardinal number, or total number of elements, of a Cartesian product of two sets A and B is found by multiplying the cardinal numbers of each set, written as n(A) x n(B). Venn diagrams can be used to represent set operations visually.
Report
Share
Report
Share
Recommended
Algebra 2 Section 5-2
The document discusses composition of functions. It defines composition of functions as using the output of one function as the input of another. It provides an example of composing two functions f and g, showing the steps of evaluating f(g(x)) and g(f(x)) at different values of x. Another example is given with two functions defined by sets of ordered pairs, finding the compositions f∘g and g∘f by evaluating them at different inputs and stating their domains and ranges.
Tabulate multiplication products to evalute generalisation ( odd number)
The document introduces a method for determining the last digit of the product of multiplying two numbers based on their "times tables". It shows the times tables for 3, 7, and 9, and notices a pattern between the last digits. It then demonstrates that by rotating and arranging the times tables in a certain way, the last digits of any multiplication between these numbers can be determined positionally without calculating the full product. This new method is then presented as a way to quickly evaluate multiplication problems.
Distributive Property & Combining Like Terms Day 2 Finished
This document provides a lesson plan for teaching the distributive property to 3rd graders. It includes notes on the distributive property, worked examples showing how to use it to combine like terms, and practice problems for students to try applying the concept. The homework assigns relevant pages from practice workbooks for additional independent practice.
Distributive Property 7th
This document provides examples and practice problems for using the distributive property and combining like terms in algebraic expressions. It begins with examples of using the distributive property to expand expressions like 4(a + 9) and 3(a - 8). Later examples have students rewrite expressions using the distributive property. The document then provides practice combining like terms, such as combining 11d + 5d into 16d. It concludes with assigning practice problems from a workbook.
Presentation about Bubble Sort
The document discusses bubble sort, an algorithm where numbers sort themselves as they "bubble" to the left of an array. It works by comparing adjacent items and swapping them if out of order, repeating until the array is sorted. The document provides pseudocode for bubble sort, sample C code to implement it, and an analysis of its O(n2) time complexity in worst and average cases. While simple, bubble sort is not practical for large data sets due to its quadratic time, though it can detect when data is already sorted efficiently.
TechMathII - 2.1 - Variables and Expressions
The document provides examples and practice problems for evaluating algebraic expressions using the order of operations (PEMDAS). It includes solving expressions for given values of variables, writing expressions from phrases, defining variables in phrases, and writing equations from word problems. Students are asked to evaluate, write expressions, define variables, and write equations based on the examples and rules provided.
TechMathII - 1.6 - Matrices
The document provides information about matrices including how to define them, add and subtract them, and examples of performing these operations. A matrix is defined as a rectangular array of numbers arranged in rows and columns, where the number of rows and columns determines its dimensions. The document also explains how to name specific elements within a matrix using row and column notation.
Determinants, Properties and IMT
1. The document announces that students should bring any exam 1 grade questions without delay, and that the homework for exam 2 has been uploaded and may be updated. It also notes that the last day to drop the class is February 4th and there is no class on that date.
2. The document covers topics from the last class including computing 3x3 determinants, determinants of triangular matrices, and techniques for larger matrices.
3. The document then provides examples of computing determinants and discusses important properties including that row operations do not change the determinant value while row interchanges flip the sign, and multiplying a row scales the determinant.
Recommended
Algebra 2 Section 5-2
The document discusses composition of functions. It defines composition of functions as using the output of one function as the input of another. It provides an example of composing two functions f and g, showing the steps of evaluating f(g(x)) and g(f(x)) at different values of x. Another example is given with two functions defined by sets of ordered pairs, finding the compositions f∘g and g∘f by evaluating them at different inputs and stating their domains and ranges.
Tabulate multiplication products to evalute generalisation ( odd number)
The document introduces a method for determining the last digit of the product of multiplying two numbers based on their "times tables". It shows the times tables for 3, 7, and 9, and notices a pattern between the last digits. It then demonstrates that by rotating and arranging the times tables in a certain way, the last digits of any multiplication between these numbers can be determined positionally without calculating the full product. This new method is then presented as a way to quickly evaluate multiplication problems.
Distributive Property & Combining Like Terms Day 2 Finished
This document provides a lesson plan for teaching the distributive property to 3rd graders. It includes notes on the distributive property, worked examples showing how to use it to combine like terms, and practice problems for students to try applying the concept. The homework assigns relevant pages from practice workbooks for additional independent practice.
Distributive Property 7th
This document provides examples and practice problems for using the distributive property and combining like terms in algebraic expressions. It begins with examples of using the distributive property to expand expressions like 4(a + 9) and 3(a - 8). Later examples have students rewrite expressions using the distributive property. The document then provides practice combining like terms, such as combining 11d + 5d into 16d. It concludes with assigning practice problems from a workbook.
Presentation about Bubble Sort
The document discusses bubble sort, an algorithm where numbers sort themselves as they "bubble" to the left of an array. It works by comparing adjacent items and swapping them if out of order, repeating until the array is sorted. The document provides pseudocode for bubble sort, sample C code to implement it, and an analysis of its O(n2) time complexity in worst and average cases. While simple, bubble sort is not practical for large data sets due to its quadratic time, though it can detect when data is already sorted efficiently.
TechMathII - 2.1 - Variables and Expressions
The document provides examples and practice problems for evaluating algebraic expressions using the order of operations (PEMDAS). It includes solving expressions for given values of variables, writing expressions from phrases, defining variables in phrases, and writing equations from word problems. Students are asked to evaluate, write expressions, define variables, and write equations based on the examples and rules provided.
TechMathII - 1.6 - Matrices
The document provides information about matrices including how to define them, add and subtract them, and examples of performing these operations. A matrix is defined as a rectangular array of numbers arranged in rows and columns, where the number of rows and columns determines its dimensions. The document also explains how to name specific elements within a matrix using row and column notation.
Determinants, Properties and IMT
1. The document announces that students should bring any exam 1 grade questions without delay, and that the homework for exam 2 has been uploaded and may be updated. It also notes that the last day to drop the class is February 4th and there is no class on that date.
2. The document covers topics from the last class including computing 3x3 determinants, determinants of triangular matrices, and techniques for larger matrices.
3. The document then provides examples of computing determinants and discusses important properties including that row operations do not change the determinant value while row interchanges flip the sign, and multiplying a row scales the determinant.
Operations Management
Order Qualifier, Order Loosing Sensitivity Criteria and Order Winners, Preventive Maintenance for any Consumer Durable
7 steps to digital marketing strategy
Digital Marketing Strategies - I found this Slide informative so Sharing for you all. Social Media - Search engine Optimization
7 steps-to-digital-marketing-strategy
This document provides guidance on developing a successful digital marketing strategy. It discusses the importance of having a defined strategy and plan, rather than just using tactics, in order to avoid problems and optimize efforts. The document outlines 10 reasons why a digital strategy is needed and recommends focusing the strategy, understanding the digital ecosystem, defining goals and audiences, and integrating digital and offline channels. It provides a framework for developing a strategy including understanding the digital landscape, setting objectives, identifying target audiences, developing propositions, and optimizing over time. The key is to view digital as a critical marketing channel and focus strategic efforts.
Role of advertisement on customers in KFC
This document summarizes a study on consumer responses to advertisements for KFC Halifax. 150 surveys were distributed to KFC customers in December 2013. Key findings include: the radio campaign was not successful, TV was the most successful but still only satisfied 43.3% of people, billboards and internet ads were also not very effective. The urge to buy KFC products after seeing ads increased. Youth found the ads more effective than older people. Female customers outnumbered males. Recommendations were made based on the findings.
Presentation on kfc 1
KFC's supply chain in Pakistan has two categories of suppliers - dry food and frozen food. Dry foods like burger buns come from established warehouses, while chicken comes from an agreement with K&N chicken. Spices come from Dubai. Pakistan is divided into north and south areas. KFC's strategy is to take advantage of growth in other countries by establishing a strong position and developing their image through continuing cost savings, new technology, and innovation to work efficiently. KFC provides 100% halal and hygienic products in Pakistan like chicken, zinger burgers, krushers and more. After analyzing KFC's operations, they appear effective and efficient with a focus on customer relations and reputation.
Task and General Environment of KFC in Pakistan
KFC has been operating in Pakistan since 1997 and currently has 69 branches across 19 major cities. The presentation provides an overview of KFC's history, introduction to Pakistan, and their task and general environments. It discusses that KFC was founded in 1930 in Kentucky and is now the world's largest chicken restaurant. In Pakistan, KFC's first branch opened in Karachi in 1997 and it has since expanded. The task environment examines KFC's relationships with customers, suppliers like K&N Products, and competitors like McDonald's. The general environment covers political, economic, socio-cultural and technological factors influencing KFC's operations in Pakistan.
Customer Gap.....in Service Sector A case based on KFC...
KFC is a global fast food restaurant chain founded in 1930 in the United States. It now has over 17,000 locations across 105 countries. The document analyzes KFC's operations in Bangladesh using the integrated gap model of quality service. It identifies four gaps - between customer expectations and perceptions, management perceptions and customer expectations, service quality specifications and actual delivery, and service delivery and the firm's promised quality. It provides examples of each gap from KFC's Bangladesh operations and recommendations to address them.
A Project Report on the impact of surrogate advertisement in surrogate produc...
EXECUTIVE SUMMARY
As in today’s advertisement scenario, surrogate advertisements holds great potential and growth when compare to other advertisements.
This growth and potentiality directed to enter into this sector. The success story of a good advertisement depends on how it creates image before customer’s mind. This study tries to reveal the knowledge and perception of customer’s by exploring their experiences and valuable suggestions.
Also trying to find out whether the surrogate advertisements make some impact throughout the market. Only some advertisements make the customers to try the product.
So descriptive type of research is adopted for studying the overall market. Non probability sampling technique, convenient sampling is carried out for collecting the primary data. Though the percentage method data’s is being interpreted .
Primary as well as secondary data’s were collected through questionnaire method, and it helps to experience the advertisement perception of customer directly.
Customers mainly remind the surrogate advertisements because on the medium, it is represented through different media’s. The entire study points out the area of improvements, while doing the surrogate advertisements.
As every advertisement were intended to create some good impacts on customer’s mind; ethically it has to satisfy all the desires and needs of customer. It came to know that people remember the brand names and ask for the surrogate products. Because of the knowledge and awareness level of surrogate advertisements are high, it is sure that liquor companies can take the mileage through surrogate products.
Gap analysis of Mc donalds with respect to fast food industry
Gap analysis of Mc donalds with respect to fast food industry.
Gap analysis helps to identify the gap between the customers expectation and managment perception.
it help company under stand gaps internal and external
Presentation on q mobile (marketing)
Q-Mobile aims to develop quality cell phones at low prices for the Pakistani market. It faces competition from established brands like Nokia and Samsung. To succeed, it focuses on youth and multimedia users. Its phones offer features like cameras, touchscreens, and Android operating systems at affordable price points between Rs. 2,499 to Rs. 10,500. Q-Mobile promotes through TV, radio, and dealer networks. It must improve software quality and market share while managing challenges from local competitors and economic conditions in Pakistan.
KFC Service Gap
KFC is a global fast food chain founded in the US in 1930. This document analyzes the KFC location in Vikrampuri, Hyderabad, India. It identifies gaps in service quality using a SERVUCTION and integrated gap model. Key gaps include a lack of welcoming, limited variety and delivery area, and unclear self-service processes. Recommendations include designating greeters, expanding affordable options and delivery zones, and clarifying service types.
A project report on service quality gap model and quality dimensions
The document discusses service quality, including defining it, measuring it using models like SERVQUAL, and identifying key dimensions of service quality. It notes that service quality is a perception involving technical and functional aspects, and that measuring it can be complex given intangible nature of services. Five key dimensions of service quality are identified as reliability, responsiveness, assurance, empathy and tangibles. The SERVQUAL instrument is discussed as a way to measure service quality gaps between expectations and perceptions.
Kfc final
KFC is a fast food restaurant chain known for fried chicken that was founded in 1952 in Utah by Colonel Harland Sanders. It operates as a subsidiary of Yum! Brands. KFC focuses on chicken pieces, sandwiches and sides, though it also offers other meats and regional items internationally. While known for fried chicken, it has expanded its menu to include grilled options. KFC has experienced rapid growth in India with over 100 locations across major cities targeting urban consumers aged 15-45 in the A, B and C income groups.
Kfc Research Analysis
The document provides a research plan conducted by team KFC. It includes an overview of their situational analysis of KFC, including details on the company, products, sales history, pricing, advertising, target audience and competition. It then outlines three separate research phases they conducted - a survey, concept testing focus groups, and copy testing focus groups. The focus groups provided feedback that helped develop new advertising concepts and ads to test.
Presentation on KFC
KFC is the world's largest chicken fast food restaurant chain. It originated in the 1930s in Kentucky when Colonel Sanders began cooking chicken for travelers. By 1964, KFC had over 600 franchised outlets across the US and Canada. Today it has over 13,000 restaurants globally.
In India, KFC faced regulatory issues in the 1990s for not adhering to food safety standards. It was also protested by PETA for alleged animal cruelty. KFC had to shut down all but one Indian location but reentered in 2003 with a strategy tailored for Indian consumers.
While KFC has strong brand recognition globally, it faces threats including competition from other chains, concerns from health and animal welfare groups, and market
KFC Marketing management
KFC began expanding operations in India in 2004 by introducing a localized vegetarian menu and using Indian spices and cooking techniques. By 2014, KFC had 34 outlets in India and launched a "So Veg, So Good" menu to promote their vegetarian options. Recently, KFC innovated by having Mumbai's famous dabbawalas deliver meal boxes and launching a rechargeable "Watt a Box" meal container to drive growth in India.
Kfc presentation
Presentation Explains, that how organizations implement four functions of management in the organization. As KFC is well known name in fast foods as well as it is multinational organization. in this presentation me and my group members explores that how KFC use and implement four functions of management.
Useful for business, commerce, management sciences students.
Gwt sdm public
(1) The document describes a method for efficient similarity search in massive graph databases using wavelet trees. (2) It converts graphs into bags-of-words representations using the Weisfeiler-Lehman procedure and indexes the words with a wavelet tree to enable fast semi-conjunctive queries. (3) Experiments on 25 million chemical compounds showed the method was significantly faster than alternative approaches while using less memory.
Sets, subsets, compliments
The document defines various types of numbers and sets them in a circle chart. It then discusses concepts related to sets such as complements, proper subsets, and the formula to calculate the number of subsets in a set based on the number of elements. The key points are:
1) Natural numbers are contained within whole numbers, integers, rational numbers, real numbers, and imaginary numbers in descending order.
2) The complement of a set A is everything in the universal set that is not in A.
3) A proper subset has some but not all elements of the original set.
4) The number of subsets of a set is calculated by 2 to the power of the number of elements (2
Gwt presen alsip-20111201
The document describes using a wavelet tree data structure to enable fast similarity searches of massive graph databases. A Weisfeiler-Lehman procedure is used to represent graphs as bags-of-words. The wavelet tree indexes these bags-of-words and allows semi-conjunctive queries to find graphs sharing a minimum number of words with a query graph in sublinear time. Experiments on 25 million molecular graphs showed the approach significantly outperformed inverted indexes in search time and memory usage.
Set theory
The document provides an overview of key concepts in set theory, including:
1) The definition of a set as a collection of distinct elements, and ways to specify sets using a roster or set builder notation.
2) Types of sets such as finite, infinite, countable/uncountable sets. Operations on sets like unions, intersections, complements and differences.
3) Related concepts like subsets, universal sets, empty sets, power sets, and Cartesian products of sets.
More Related Content
Viewers also liked
Operations Management
Order Qualifier, Order Loosing Sensitivity Criteria and Order Winners, Preventive Maintenance for any Consumer Durable
7 steps to digital marketing strategy
Digital Marketing Strategies - I found this Slide informative so Sharing for you all. Social Media - Search engine Optimization
7 steps-to-digital-marketing-strategy
This document provides guidance on developing a successful digital marketing strategy. It discusses the importance of having a defined strategy and plan, rather than just using tactics, in order to avoid problems and optimize efforts. The document outlines 10 reasons why a digital strategy is needed and recommends focusing the strategy, understanding the digital ecosystem, defining goals and audiences, and integrating digital and offline channels. It provides a framework for developing a strategy including understanding the digital landscape, setting objectives, identifying target audiences, developing propositions, and optimizing over time. The key is to view digital as a critical marketing channel and focus strategic efforts.
Role of advertisement on customers in KFC
This document summarizes a study on consumer responses to advertisements for KFC Halifax. 150 surveys were distributed to KFC customers in December 2013. Key findings include: the radio campaign was not successful, TV was the most successful but still only satisfied 43.3% of people, billboards and internet ads were also not very effective. The urge to buy KFC products after seeing ads increased. Youth found the ads more effective than older people. Female customers outnumbered males. Recommendations were made based on the findings.
Presentation on kfc 1
KFC's supply chain in Pakistan has two categories of suppliers - dry food and frozen food. Dry foods like burger buns come from established warehouses, while chicken comes from an agreement with K&N chicken. Spices come from Dubai. Pakistan is divided into north and south areas. KFC's strategy is to take advantage of growth in other countries by establishing a strong position and developing their image through continuing cost savings, new technology, and innovation to work efficiently. KFC provides 100% halal and hygienic products in Pakistan like chicken, zinger burgers, krushers and more. After analyzing KFC's operations, they appear effective and efficient with a focus on customer relations and reputation.
Task and General Environment of KFC in Pakistan
KFC has been operating in Pakistan since 1997 and currently has 69 branches across 19 major cities. The presentation provides an overview of KFC's history, introduction to Pakistan, and their task and general environments. It discusses that KFC was founded in 1930 in Kentucky and is now the world's largest chicken restaurant. In Pakistan, KFC's first branch opened in Karachi in 1997 and it has since expanded. The task environment examines KFC's relationships with customers, suppliers like K&N Products, and competitors like McDonald's. The general environment covers political, economic, socio-cultural and technological factors influencing KFC's operations in Pakistan.
Customer Gap.....in Service Sector A case based on KFC...
KFC is a global fast food restaurant chain founded in 1930 in the United States. It now has over 17,000 locations across 105 countries. The document analyzes KFC's operations in Bangladesh using the integrated gap model of quality service. It identifies four gaps - between customer expectations and perceptions, management perceptions and customer expectations, service quality specifications and actual delivery, and service delivery and the firm's promised quality. It provides examples of each gap from KFC's Bangladesh operations and recommendations to address them.
A Project Report on the impact of surrogate advertisement in surrogate produc...
EXECUTIVE SUMMARY
As in today’s advertisement scenario, surrogate advertisements holds great potential and growth when compare to other advertisements.
This growth and potentiality directed to enter into this sector. The success story of a good advertisement depends on how it creates image before customer’s mind. This study tries to reveal the knowledge and perception of customer’s by exploring their experiences and valuable suggestions.
Also trying to find out whether the surrogate advertisements make some impact throughout the market. Only some advertisements make the customers to try the product.
So descriptive type of research is adopted for studying the overall market. Non probability sampling technique, convenient sampling is carried out for collecting the primary data. Though the percentage method data’s is being interpreted .
Primary as well as secondary data’s were collected through questionnaire method, and it helps to experience the advertisement perception of customer directly.
Customers mainly remind the surrogate advertisements because on the medium, it is represented through different media’s. The entire study points out the area of improvements, while doing the surrogate advertisements.
As every advertisement were intended to create some good impacts on customer’s mind; ethically it has to satisfy all the desires and needs of customer. It came to know that people remember the brand names and ask for the surrogate products. Because of the knowledge and awareness level of surrogate advertisements are high, it is sure that liquor companies can take the mileage through surrogate products.
Gap analysis of Mc donalds with respect to fast food industry
Gap analysis of Mc donalds with respect to fast food industry.
Gap analysis helps to identify the gap between the customers expectation and managment perception.
it help company under stand gaps internal and external
Presentation on q mobile (marketing)
Q-Mobile aims to develop quality cell phones at low prices for the Pakistani market. It faces competition from established brands like Nokia and Samsung. To succeed, it focuses on youth and multimedia users. Its phones offer features like cameras, touchscreens, and Android operating systems at affordable price points between Rs. 2,499 to Rs. 10,500. Q-Mobile promotes through TV, radio, and dealer networks. It must improve software quality and market share while managing challenges from local competitors and economic conditions in Pakistan.
KFC Service Gap
KFC is a global fast food chain founded in the US in 1930. This document analyzes the KFC location in Vikrampuri, Hyderabad, India. It identifies gaps in service quality using a SERVUCTION and integrated gap model. Key gaps include a lack of welcoming, limited variety and delivery area, and unclear self-service processes. Recommendations include designating greeters, expanding affordable options and delivery zones, and clarifying service types.
A project report on service quality gap model and quality dimensions
The document discusses service quality, including defining it, measuring it using models like SERVQUAL, and identifying key dimensions of service quality. It notes that service quality is a perception involving technical and functional aspects, and that measuring it can be complex given intangible nature of services. Five key dimensions of service quality are identified as reliability, responsiveness, assurance, empathy and tangibles. The SERVQUAL instrument is discussed as a way to measure service quality gaps between expectations and perceptions.
Kfc final
KFC is a fast food restaurant chain known for fried chicken that was founded in 1952 in Utah by Colonel Harland Sanders. It operates as a subsidiary of Yum! Brands. KFC focuses on chicken pieces, sandwiches and sides, though it also offers other meats and regional items internationally. While known for fried chicken, it has expanded its menu to include grilled options. KFC has experienced rapid growth in India with over 100 locations across major cities targeting urban consumers aged 15-45 in the A, B and C income groups.
Kfc Research Analysis
The document provides a research plan conducted by team KFC. It includes an overview of their situational analysis of KFC, including details on the company, products, sales history, pricing, advertising, target audience and competition. It then outlines three separate research phases they conducted - a survey, concept testing focus groups, and copy testing focus groups. The focus groups provided feedback that helped develop new advertising concepts and ads to test.
Presentation on KFC
KFC is the world's largest chicken fast food restaurant chain. It originated in the 1930s in Kentucky when Colonel Sanders began cooking chicken for travelers. By 1964, KFC had over 600 franchised outlets across the US and Canada. Today it has over 13,000 restaurants globally.
In India, KFC faced regulatory issues in the 1990s for not adhering to food safety standards. It was also protested by PETA for alleged animal cruelty. KFC had to shut down all but one Indian location but reentered in 2003 with a strategy tailored for Indian consumers.
While KFC has strong brand recognition globally, it faces threats including competition from other chains, concerns from health and animal welfare groups, and market
KFC Marketing management
KFC began expanding operations in India in 2004 by introducing a localized vegetarian menu and using Indian spices and cooking techniques. By 2014, KFC had 34 outlets in India and launched a "So Veg, So Good" menu to promote their vegetarian options. Recently, KFC innovated by having Mumbai's famous dabbawalas deliver meal boxes and launching a rechargeable "Watt a Box" meal container to drive growth in India.
Kfc presentation
Presentation Explains, that how organizations implement four functions of management in the organization. As KFC is well known name in fast foods as well as it is multinational organization. in this presentation me and my group members explores that how KFC use and implement four functions of management.
Useful for business, commerce, management sciences students.
Viewers also liked (18)
Customer Gap.....in Service Sector A case based on KFC...
Customer Gap.....in Service Sector A case based on KFC...
A Project Report on the impact of surrogate advertisement in surrogate produc...
A Project Report on the impact of surrogate advertisement in surrogate produc...
Gap analysis of Mc donalds with respect to fast food industry
Gap analysis of Mc donalds with respect to fast food industry
A project report on service quality gap model and quality dimensions
A project report on service quality gap model and quality dimensions
Similar to Operations with sets
Gwt sdm public
(1) The document describes a method for efficient similarity search in massive graph databases using wavelet trees. (2) It converts graphs into bags-of-words representations using the Weisfeiler-Lehman procedure and indexes the words with a wavelet tree to enable fast semi-conjunctive queries. (3) Experiments on 25 million chemical compounds showed the method was significantly faster than alternative approaches while using less memory.
Sets, subsets, compliments
The document defines various types of numbers and sets them in a circle chart. It then discusses concepts related to sets such as complements, proper subsets, and the formula to calculate the number of subsets in a set based on the number of elements. The key points are:
1) Natural numbers are contained within whole numbers, integers, rational numbers, real numbers, and imaginary numbers in descending order.
2) The complement of a set A is everything in the universal set that is not in A.
3) A proper subset has some but not all elements of the original set.
4) The number of subsets of a set is calculated by 2 to the power of the number of elements (2
Gwt presen alsip-20111201
The document describes using a wavelet tree data structure to enable fast similarity searches of massive graph databases. A Weisfeiler-Lehman procedure is used to represent graphs as bags-of-words. The wavelet tree indexes these bags-of-words and allows semi-conjunctive queries to find graphs sharing a minimum number of words with a query graph in sublinear time. Experiments on 25 million molecular graphs showed the approach significantly outperformed inverted indexes in search time and memory usage.
Set theory
The document provides an overview of key concepts in set theory, including:
1) The definition of a set as a collection of distinct elements, and ways to specify sets using a roster or set builder notation.
2) Types of sets such as finite, infinite, countable/uncountable sets. Operations on sets like unions, intersections, complements and differences.
3) Related concepts like subsets, universal sets, empty sets, power sets, and Cartesian products of sets.
Discrete Math Chapter 2: Basic Structures: Sets, Functions, Sequences, Sums, ...
1) The document summarizes key concepts from a discrete mathematics course including sets, operations on sets, functions, sequences, and sums.
2) It covers topics like basic set theory, operations on sets like union and intersection, subsets, power sets, Cartesian products, and cardinality.
3) Examples are provided to illustrate concepts like Venn diagrams, disjoint sets, complements, and set differences.
file_5.pptx
This document outlines the course contents, schedule, and evaluation for CSE 173: Discrete Mathematics taught by Dr. Saifuddin Md.Tareeq at DU. The course covers topics like logic, sets, functions, algorithms, number theory, induction, counting, probability, relations, and graphs. It will be evaluated based on homework, quizzes, midterms, and a final exam. Discrete mathematics is the study of discrete rather than continuous structures, and concepts from it are useful for computer algorithms, programming, cryptography, and software development.
Using Google Sheets statistics functions
This document provides instructions for using various statistical functions in Google Sheets, including how to construct frequency tables, calculate measures of central tendency and variability, perform hypothesis tests, and analyze correlations and differences between multiple groups. Formulas are presented to calculate probabilities for binomial and normal distributions, simulate random data, estimate sample sizes, and conduct t-tests, ANOVA, and chi-square tests. Videos are linked to demonstrate various statistical analyses and graphs in Google Sheets.
Lec35
The document discusses various sorting algorithms including merge sort, quicksort, and insertion sort. Merge sort works by dividing the array into two halves, recursively sorting each half, and then merging the sorted halves together. Quicksort selects a pivot element and partitions the array into elements less than or greater than the pivot. Insertion sort iterates through the array and inserts each element into its sorted position.
The lab report
This document outlines the required sections and formatting for a science lab report, including:
1) An introduction with defined keywords and purpose statement.
2) A procedure listing the experiment steps.
3) A chart, graph or both to display the results.
4) A conclusion summarizing the experiment results and what was learned.
5) A reference section explaining the relevance to the experiment and how it could be improved.
Proper spelling, grammar and sentence structure are required, and the report should be typed for full credit.
Introduction to Set Theory
This document introduces the concept of sets in discrete mathematics. It defines what a set is and discusses how sets are represented and notated. It also covers basic set operations like union and intersection. Some key points include:
- A set is a collection of distinct objects, called elements.
- Sets can be represented either by listing elements within curly braces or using set-builder notation describing a common property.
- Basic set operations include union, intersection, subset, power set, and the empty set. Union combines elements in sets while intersection finds elements common to sets.
coordinategeometryppt-180912064900.pptx
1. René Descartes lay in bed one night and noticed a fly on his ceiling, which inspired him to develop a way to precisely describe locations using coordinates.
2. He devised a system using two perpendicular lines intersecting at right angles, with numbers along each line to specify locations as ordered pairs of numbers.
3. This Cartesian coordinate system, which places locations on a Cartesian plane using x and y values, allowed Descartes to precisely describe the location of the fly as (4,5).
Set theory
1. Set theory is an important mathematical concept and tool that is used in many areas including programming, real-world applications, and computer science problems.
2. The document introduces some basic concepts of set theory including sets, members, operations on sets like union and intersection, and relationships between sets like subsets and complements.
3. Infinite sets are discussed as well as different types of infinite sets including countably infinite and uncountably infinite sets. Special sets like the empty set and power sets are also covered.
08 binarysearchtrees 1
This document discusses binary search trees (BSTs) and their implementations. It covers:
1. Basic BST representations and operations like search, insertion, and iteration using an inorder traversal. Search and insertion have average case performance of O(log n).
2. Randomized BSTs which provide stronger guarantees of O(log n) height and search/insertion by randomly making inserted nodes the root with some probability.
3. Deletion in BSTs which is challenging and discusses approaches like using tombstones or replacing nodes with their successors to preserve the BST properties.
Set theory
This document introduces some basic concepts in set theory. It defines a set as a structure representing an unordered collection of distinct objects. Set theory deals with operations on sets such as union, intersection, difference and relations between sets. It provides notations for sets and examples of basic properties of sets like equality, subsets, empty sets and infinite sets. The document also introduces concepts like cardinality, power sets, Cartesian products and Venn diagrams to represent relationships between sets.
SETS-LESSON-1.pptx
This document provides an overview of key concepts in set theory that are covered in Module 1 of a 7th grade math lesson. The objectives are to describe well-defined sets, subsets, universal sets, and the null set. It also covers how to write set elements and use Venn diagrams to represent sets and set operations. Various examples are provided to demonstrate sets, subsets, universal sets, null sets, set operations like union and intersection, and how to represent sets using roster notation or set-builder notation.
Theory of Computation "Chapter 1, introduction"
This document provides an introduction to the Theory of Computation course offered at Mutah University. The course will cover three main topics: automata, computability theory, and complexity theory. It will examine fundamental capabilities and limitations of computers. Required reading includes Sipser's textbook Introduction to the Theory of Computation. Key concepts to be discussed include formal models of computation, problems that cannot be solved by computers, and distinguishing between easy and hard computational problems.
Lec22
The document describes the merge sort algorithm. It begins by explaining the divide and conquer approach to algorithm design, which merge sort uses. It then provides pseudocode that divides the input array into two halves, recursively sorts each half using merge sort, and then merges the two sorted halves back together. The document includes examples walking through applying merge sort to an array. It analyzes the running time of merge sort using recurrence relations and the substitution method, determining its runtime is O(n log n). Finally, it provides Java code implementing merge sort.
7-Sets-1.ppt
This document provides an overview of sets and related concepts in discrete mathematics. Some key points covered include:
- A set is an unordered collection of distinct objects. Sets can contain numbers, words, or other sets. Order and duplicates do not matter.
- Sets are specified using curly brackets and listing elements, set-builder notation, ellipses, or capital letters. Membership is denoted using the symbol ∈.
- Basic set relationships include subsets, proper subsets, equality, the empty set, unions, and intersections. Power sets contain all possible subsets.
- Tuples are ordered lists used to specify locations in n-dimensional spaces. Cartesian products combine elements from multiple sets into ordered pairs
Similar to Operations with sets (18)
Discrete Math Chapter 2: Basic Structures: Sets, Functions, Sequences, Sums, ...
Discrete Math Chapter 2: Basic Structures: Sets, Functions, Sequences, Sums, ...
More from walkerlj
Infinite sets and cardinalities
The document discusses different types of infinite sets and their cardinal numbers. It provides examples of sets that are countable, like the natural numbers and integers, by showing a one-to-one correspondence between each set and a subset. However, the set of real numbers is uncountable because there is an infinite number of decimals between any two real numbers, making it impossible to list them in a one-to-one fashion. Infinite sets can be defined as those that can be placed in a one-to-one correspondence with a proper subset of themselves.
Intro to logic
This document introduces some key concepts in symbolic logic including:
1. Statements are declarative sentences that can be either true or false, while non-examples include opinions, questions, paradoxes, and commands.
2. Compound statements are formed using logical connectives like AND, OR, and IF...THEN to join two or more statements.
3. Negations are formed by introducing the word "not" to a statement, and the negation of a true statement is false while the negation of a false statement is true.
4. Quantifiers like "all", "some", and "no" are used in mathematics to indicate how many of a particular situation exist.
Sets
This document discusses sets and their properties. It defines what a set is and the different ways to describe a set using word descriptions, listings, or set-builder notation. It discusses elements and members of sets, and whether certain values are elements of example sets. It also defines key set concepts like cardinality (the number of elements in a set), finite vs infinite sets, and why cardinal numbers cannot be determined for infinite sets.
Solving problems by inductive reasoning
This document discusses making logical arguments and general conclusions from observations. It explains that while repeated observations of specific examples can lead to general principles, these principles do not always apply to all cases. Applying general conclusions as rules to new specific examples may not always yield accurate predictions, as the available data is limited and exceptions may exist.
Problem solving strategies
The document provides tips and strategies for solving problem-solving problems, including working backwards, trial and error, guessing and checking, looking for patterns in similar problems, drawing pictures, avoiding getting stuck on surface-level details, and using common sense. It discusses the Fibonacci sequence, provides an example of working backwards on a racetrack problem, and advises drawing pictures to organize thoughts when representing physical objects.
Truth tables
The document discusses truth tables, which are used to determine if compound statements are true or false. It provides examples of truth tables for negation, conjunction, and disjunction. A conjunction is true only when both statements are true, while a disjunction is true when at least one statement is true. Truth tables can have more than two statements, with each additional statement doubling the number of possible cases.
Estimation
This document discusses estimation and story problems. It provides examples of estimating the number of busses needed for a field trip with 115 people where each bus holds 27 people. It recommends always rounding up when estimating. It also gives an example of estimating a baseball player's batting average by rounding his at bats to 600 and hits to 200 to get an estimated average of 0.333. Finally, it mentions using proportions to compare two different ratios.
Sets copy
This document discusses sets and their properties. It defines what a set is and the different ways to describe a set using word descriptions, listings, or set-builder notation. It discusses elements and members of sets, and whether certain values are elements of example sets. It also defines key set concepts like cardinality (the number of elements in a set), finite vs infinite sets, and why cardinal numbers cannot be determined for infinite sets.
Using inductive reasoning
This document discusses inductive reasoning and using number patterns to derive mathematical rules. It introduces key concepts like number sequences, terms, arithmetic sequences with a common difference, and geometric sequences with a common ratio. It explains using a tree diagram of successive differences to identify patterns in number sequences and deduce rules. As an example, it shows deriving the formula for finding the sum of the first n odd counting numbers as n^2.
Cells the structure of life
description of basic parts of a cell; Membrane, cytoplasm, wall, nucelus, ribosome, mitochondria, cholophyll.
For middle grades
More from walkerlj (10)
Recently uploaded
一比一原版(AUT毕业证)奥克兰理工大学毕业证如何办理
AUT毕业证假文凭【微信95270640】购买（奥克兰理工大学毕业证成绩单硕士学历）Q微信95270640代办AUT学历认证留信网伪造奥克兰理工大学学位证书精仿奥克兰理工大学本科/硕士文凭证书补办奥克兰理工大学 diplomaoffer,Transcript购买奥克兰理工大学毕业证成绩单购买AUT假毕业证学位证书购买伪造奥克兰理工大学文凭证书学位证书,专业办理雅思、托福成绩单，学生ID卡，在读证明，海外各大学offer录取通知书，毕业证书，成绩单，文凭等材料:1:1完美还原毕业证、offer录取通知书、学生卡等各种在读或毕业材料的防伪工艺（包括 烫金、烫银、钢印、底纹、凹凸版、水印、防伪光标、热敏防伪、文字图案浮雕，激光镭射，紫外荧光，温感光标）学校原版上有的工艺我们一样不会少，不论是老版本还是最新版本，都能保证最高程度还原，力争完美以求让所有同学都能享受到完美的品质服务。
办国外奥克兰理工大学奥克兰理工大学毕业证文凭证书教育部学历学位认证留信认证大使馆认证留学回国人员证明修改成绩单信封申请学校offer录取通知书在读证明offer letter。
快速办理高仿国外毕业证成绩单：
1奥克兰理工大学毕业证+成绩单+留学回国人员证明+教育部学历认证（全套留学回国必备证明材料给父母及亲朋好友一份完美交代）;
2雅思成绩单托福成绩单OFFER在读证明等留学相关材料（申请学校转学甚至是申请工签都可以用到）。
3.毕业证 #成绩单等全套材料从防伪到印刷从水印到钢印烫金高精仿度跟学校原版100%相同。
专业服务请勿犹豫联系我！联系人微信号：95270640诚招代理：本公司诚聘当地代理人员如果你有业余时间有兴趣就请联系我们。
国外奥克兰理工大学奥克兰理工大学毕业证文凭证书办理过程：
1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：我们有专业老师帮你查询）；
2开始安排制作毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）。蜿蜒小溪一直都是山娃和小伙伴们盛夏的天然泳场水不深碎石底石缝里总有摸不尽的鱼虾活蹦乱跳的还有乌龟和王八贼头贼脑的倒也逗人喜爱日上三竿时山娃总爱窜进自家瓜棚里跟小伙伴们坐着聊天聊着聊着便忍不住往瓜田里逡巡一番抱起一只硕大的西瓜用石刀劈开抑或用拳头砸开每人抱起一大块就啃啃得满嘴满脸猴屁股般的红艳大家一个劲地指着对方吃吃地笑瓜裂得古怪奇形怪状却丝毫不影响瓜味甜丝丝的满嘴生津遍地都是瓜横七竖八的活像掷满这
Morgan Freeman is Jimi Hendrix: Unveiling the Intriguing Hypothesis
In celebrity mysteries and urban legends. Few narratives capture the imagination as the hypothesis that Morgan Freeman is Jimi Hendrix. This fascinating theory posits that the iconic actor and the legendary guitarist are, in fact, the same person. While this might seem like a far-fetched notion at first glance. a deeper exploration reveals a rich tapestry of coincidences, speculative connections. and a surprising alignment of life events fueling this captivating hypothesis.
Follow us on: Pinterest
Introduction to the Hypothesis: Morgan Freeman is Jimi Hendrix
The idea that Morgan Freeman is Jimi Hendrix stems from a mix of historical anomalies, physical resemblances. and a penchant for myth-making that surrounds celebrities. While Jimi Hendrix's official death in 1970 is well-documented. some theorists suggest that Hendrix did not die but instead reinvented himself as Morgan Freeman. a man who would become one of Hollywood's most revered actors. This article aims to delve into the various aspects of this hypothesis. examining its origins, the supporting arguments. and the cultural impact of such a theory.
The Genesis of the Theory
Early Life Parallels
The hypothesis that Morgan Freeman is Jimi Hendrix begins by comparing their early lives. Jimi Hendrix, born Johnny Allen Hendrix in Seattle, Washington, on November 27, 1942. and Morgan Freeman, born on June 1, 1937, in Memphis, Tennessee, have lived very different lives. But, proponents of the theory suggest that the five-year age difference is negligible and point to Freeman's late start in his acting career as evidence of a life lived before under a different identity.
The Disappearance and Reappearance
Jimi Hendrix's death in 1970 at the age of 27 is a well-documented event. But, theorists argue that Hendrix's death staged. and he reemerged as Morgan Freeman. They highlight Freeman's rise to prominence in the early 1970s. coinciding with Hendrix's supposed death. Freeman's first significant acting role came in 1971 on the children's television show "The Electric Company," a mere year after Hendrix's passing.
Physical Resemblances
Facial Structure and Features
One of the most compelling arguments for the hypothesis that Morgan Freeman is Jimi Hendrix lies in the physical resemblance between the two men. Analyzing photographs, proponents point out similarities in facial structure. particularly the cheekbones and jawline. Both men have a distinctive gap between their front teeth. which is rare and often highlighted as a critical point of similarity.
Voice and Mannerisms
Supporters of the theory also draw attention to the similarities in their voices. Jimi Hendrix known for his smooth, distinctive speaking voice. which, according to some, resembles Morgan Freeman's iconic, deep, and soothing voice. Additionally, both men share certain mannerisms. such as their calm demeanor and eloquent speech patterns.
Artistic Parallels
Musical and Acting Talents
Jimi Hendrix was regarded as one of t
Taylor Swift: Conquering Fame, Feuds, and Unmatched Success | CIO Women Magazine
From country star to global phenomenon, delve into Taylor Swift's incredible journey. Explore chart-topping hits, feuds, & her rise to billionaire status!
原版制作(MUN毕业证书)纽芬兰纪念大学毕业证PDF成绩单一模一样
学校原件一模一样【微信：741003700 】《(MUN毕业证书)纽芬兰纪念大学毕业证》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
University of Western Sydney degree offer diploma Transcript
澳洲UWS毕业证书制作西悉尼大学假文凭定制Q微168899991做UWS留信网教留服认证海牙认证改UWS成绩单GPA做UWS假学位证假文凭高仿毕业证申请西悉尼大学University of Western Sydney degree offer diploma Transcript
Leonardo DiCaprio House: A Journey Through His Extravagant Real Estate Portfolio
Introduction
Leonardo DiCaprio, A name synonymous with Hollywood excellence. is not only known for his stellar acting career but also for his impressive real estate investments. The "Leonardo DiCaprio house" is a topic that piques the interest of many. as the Oscar-winning actor has amassed a diverse portfolio of luxurious properties. DiCaprio's homes reflect his varied tastes and commitment to sustainability. from retreats to historic mansions. This article will delve into the fascinating world of Leonardo DiCaprio's real estate. Exploring the details of his most notable residences. and the unique aspects that make them stand out.
Follow us on: Pinterest
Leonardo DiCaprio House: Malibu Beachfront Retreat
A Prime Location
His Malibu beachfront house is one of the most famous properties in Leonardo DiCaprio's real estate portfolio. Situated in the exclusive Carbon Beach. also known as "Billionaire's Beach," this property boasts stunning ocean views and private beach access. The "Leonardo DiCaprio house" in Malibu is a testament to the actor's love for the sea and his penchant for luxurious living.
Architectural Highlights
The Malibu house features a modern design with clean lines, large windows. and open spaces blending indoor and outdoor living. The expansive deck and patio areas provide ample space for entertaining guests or enjoying a quiet sunset. The house has state-of-the-art amenities. including a gourmet kitchen, a home theatre, and many guest suites.
Sustainable Features
Leonardo DiCaprio is a well-known environmental activist. whose Malibu house reflects his commitment to sustainability. The property incorporates solar panels, energy-efficient appliances, and sustainable building materials. The landscaping around the house is also designed to be water-efficient. featuring drought-resistant plants and intelligent irrigation systems.
Leonardo DiCaprio House: Hollywood Hills Hideaway
Privacy and Seclusion
Another remarkable property in Leonardo DiCaprio's collection is his Hollywood Hills house. This secluded retreat offers privacy and tranquility. making it an ideal escape from the hustle and bustle of Los Angeles. The "Leonardo DiCaprio house" in Hollywood Hills nestled among lush greenery. and offers panoramic views of the city and surrounding landscapes.
Design and Amenities
The Hollywood Hills house is a mid-century modern gem characterized by its sleek design and floor-to-ceiling windows. The open-concept living space is perfect for entertaining. while the cozy bedrooms provide a comfortable retreat. The property also features a swimming pool, and outdoor dining area. and a spacious deck that overlooks the cityscape.
Environmental Initiatives
The Hollywood Hills house incorporates several green features that are in line with DiCaprio's environmental values. The home has solar panels, energy-efficient lighting, and a rainwater harvesting system. Additionally, the landscaping designed to support local wildlife and promote
一比一原版(mcmaste毕业证书)加拿大麦克马斯特大学毕业证如何办理
原版一模一样【微信：741003700 】【(mcmaste毕业证书)加拿大麦克马斯特大学毕业证成绩单】【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
办理(mcmaste毕业证书)加拿大麦克马斯特大学毕业证【微信：741003700 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理(mcmaste毕业证书)加拿大麦克马斯特大学毕业证【微信：741003700 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理(mcmaste毕业证书)加拿大麦克马斯特大学毕业证【微信：741003700 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理(mcmaste毕业证书)加拿大麦克马斯特大学毕业证【微信：741003700 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
HD Video Player All Format - 4k & live stream
Discover the best video playback experience with HD Video Player. Our powerful, user-friendly app supports all popular video formats and codecs, ensuring seamless playback of your favorite videos in stunning HD and 4K quality. Whether you're watching movies, TV shows, or personal videos, HD Video Player provides the ultimate viewing experience on your device. 🚀
The Enigmatic Portrait, In the heart of a sleepy town
In the heart of a sleepy town nestled between rolling hills and whispering pines …
created with AI assistance…
定制(mu毕业证书)美国迈阿密大学牛津分校毕业证学历证书原版一模一样
原版定制【微信:bwp0011】《(mu毕业证书)美国迈阿密大学牛津分校毕业证学历证书》【微信:bwp0011】成绩单 、雅思、外壳、留信学历认证永久存档查询，采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信bwp0011】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信bwp0011】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
The Gallery of Shadows, In the heart of a bustling city
In the heart of a bustling city, hidden away from the modern chaos …
created with AI assistance…
From Teacher to OnlyFans: Brianna Coppage's Story at 28
At 28, Brianna Coppage left her teaching career to become an OnlyFans content creator. This bold move into digital entrepreneurship allowed her to harness her creativity and build a new identity. Brianna's experience highlights the intersection of technology and personal branding in today's economy.
一比一原版(UCSF毕业证)旧金山分校毕业证如何办理
原件一模一样【微信：95270640】【旧金山分校毕业证UCSF学位证成绩单】【微信：95270640】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：95270640】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：95270640】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：95270640】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理旧金山分校毕业证毕业证offerUCSF学位证【微信：95270640 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理旧金山分校毕业证UCSF学位证毕业证offer【微信：95270640 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理旧金山分校毕业证毕业证offerUCSF学位证【微信：95270640 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理旧金山分校毕业证毕业证offerUCSF学位证【微信：95270640 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Tom Cruise Daughter: An Insight into the Life of Suri Cruise
Tom Cruise is a name that resonates with global audiences for his iconic roles in blockbuster films and his dynamic presence in Hollywood. But, beyond his illustrious career, Tom Cruise's personal life. especially his relationship with his daughter has been a subject of public fascination and media scrutiny. This article delves deep into the life of Tom Cruise daughter, Suri Cruise. Exploring her upbringing, the influence of her parents, and her current life.
Follow us on: Pinterest
Introduction: The Fame Surrounding Tom Cruise Daughter
Suri Cruise, the daughter of Tom Cruise and Katie Holmes, has been in the public eye since her birth on April 18, 2006. Thanks to the media's relentless coverage, the world watched her grow up. As the daughter of one of Hollywood's most renowned actors. Suri has had a unique upbringing marked by privilege and scrutiny. This article aims to provide a comprehensive overview of Suri Cruise's life. Her relationship with her parents, and her journey so far.
Early Life of Tom Cruise Daughter
Birth and Immediate Fame
Suri Cruise was born in Santa Monica, California. and from the moment she came into the world, she was thrust into the limelight. Her parents, Tom Cruise and Katie Holmes. Were one of Hollywood's most talked-about couples at the time. The birth of their daughter was a anticipated event. and Suri's first public appearance in Vanity Fair magazine set the tone for her life in the public eye.
The Impact of Celebrity Parents
Having celebrity parents like Tom Cruise and Katie Holmes comes with its own set of challenges and privileges. Suri Cruise's early life marked by a whirlwind of media attention. paparazzi, and public interest. Despite the constant spotlight. Her parents tried to provide her with an upbringing that was as normal as possible.
The Influence of Tom Cruise and Katie Holmes
Tom Cruise's Parenting Style
Tom Cruise known for his dedication and passion in both his professional and personal life. As a father, Cruise has described as loving and protective. His involvement in the Church of Scientology, but, has been a point of contention and has influenced his relationship with Suri. Cruise's commitment to Scientology has reported to be a significant factor in his and Holmes' divorce and his limited public interactions with Suri.
Katie Holmes' Role in Suri's Life
Katie Holmes has been Suri's primary caregiver since her separation from Tom Cruise in 2012. Holmes has provided a stable and grounded environment for her daughter. She moved to New York City with Suri to start a new chapter in their lives away from the intense scrutiny of Hollywood.
Suri Cruise: Growing Up in the Spotlight
Media Attention and Public Interest
From stylish outfits to everyday activities. Suri Cruise has been a favorite subject for tabloids and entertainment news. The constant media attention has shaped her childhood. Despite this, Suri has managed to maintain a level of normalcy, thanks to her mother's efforts.
Abraham Laboriel Records ‘The Bass Walk’ at Evergreen Stage
A legendary musician records an intricate song designed to show off his expert bass guitar chops at a historical Los Angeles studio.
Anasuya Sengupta Cannes 2024 Award Winner
Anasuya Sengupta, an Indian actress and designer, won the Best Actress Award at the Cannes Film Festival for the Bulgarian film 'The Shameless'.
Brian Peck Leonardo DiCaprio: A Unique Intersection of Lives and Legacies
Introduction
The world of Hollywood is vast and interconnected. filled with countless stories of collaboration, friendship, and influence. Among these tales are the notable narratives of Brian Peck and Leonardo DiCaprio. The keyword "Brian Peck Leonardo DiCaprio" might not immediately ring a bell for everyone. but the connection between these two figures in the entertainment industry is intriguing and significant. This article delves deep into their lives, careers, and the moments where their paths intersect. providing a comprehensive look at how their stories intertwine.
Follow us on: Pinterest
Early Life and Career Beginnings
Brian Peck: The Early Years
Brian Peck was born in New York City on July 29, 1960. From a young age, Peck exhibited a passion for the performing arts. He attended the Professional Children's School. which has a history of nurturing young talent in the arts. Peck's early career marked by a series of roles in television and film that showcased his versatility as an actor.
Peck's breakthrough came with his role in the cult classic "The Return of the Living Dead" (1985). His performance as Scuz, one of the punk rockers who releases a toxic gas that reanimates the dead. earned him a place in the annals of horror cinema. This role opened doors for Peck. allowing him to explore various facets of the entertainment industry. including writing and directing.
Leonardo DiCaprio: From Child Star to Hollywood Icon
Leonardo DiCaprio was born in Los Angeles, California, on November 11, 1974. His career began at a young age with appearances in television commercials and educational films. DiCaprio's big break came when he joined the cast of the popular sitcom "Growing Pains" (1985-1992). where he played the character Luke Brower.
DiCaprio's transition from television to film was seamless. He gained recognition for his role in "This Boy's Life" (1993) alongside Robert De Niro. This performance began a series of acclaimed roles. establishing DiCaprio as one of the most talented actors of his generation. His portrayal of Jack Dawson in James Cameron's "Titanic" (1997) catapulted him to global stardom. solidifying his status as a Hollywood icon.
Brian Peck Leonardo DiCaprio: Their Paths Cross
Collaborations and Connections
The keyword "Brian Peck Leonardo DiCaprio" signifies more than two names; it represents a fascinating connection in Hollywood. While their careers took different trajectories, their paths crossed in the 1990s. Brian Peck worked with DiCaprio on the set of the 1990s sitcom "Growing Pains." where DiCaprio had a recurring role. Peck appeared in a few episodes. contributing to the comedic and dynamic environment of the show.
Their professional relationship extended beyond "Growing Pains." Peck directed DiCaprio in several educational videos for the "Disneyland Fun" series. where DiCaprio's youthful charm and energy were evident. These early collaborations offered DiCaprio valuable experience in front of the camera. he
The Future of Independent Filmmaking Trends and Job Opportunities
The landscape of independent filmmaking is evolving at an unprecedented pace. Technological advancements, changing consumer preferences, and new distribution models are reshaping the industry, creating new opportunities and challenges for filmmakers and film industry jobs. This article explores the future of independent filmmaking, highlighting key trends and emerging job opportunities.
The Enigma of the Midnight Canvas, In the heart of Paris
In the heart of Paris, where the Seine River flowed languidly beneath the city's graceful bridges …
created with AI assistance…
欧洲杯赌球-欧洲杯赌球竞猜官网-欧洲杯赌球竞猜网站|【网址🎉ac10.net🎉】
【网址🎉ac10.net🎉】欧洲杯赌球是独立的博彩公司。该公司最初专门从事在线体育博彩，现在合并了在线娱乐场。该公司最初成立时以其前董事长Victor Chandler的名字命名，之后更名为欧洲杯赌球。欧洲杯赌球现由商人和赛马主，迈克尔·塔博尔拥有，运营总部设在直布罗陀。平台拥有体育博彩（沙巴）、真人娱乐场、电子游戏、金融投注等游戏项目，支持手机投注，优惠活动很丰富。
Recently uploaded (20)
Morgan Freeman is Jimi Hendrix: Unveiling the Intriguing Hypothesis
Morgan Freeman is Jimi Hendrix: Unveiling the Intriguing Hypothesis
Taylor Swift: Conquering Fame, Feuds, and Unmatched Success | CIO Women Magazine
Taylor Swift: Conquering Fame, Feuds, and Unmatched Success | CIO Women Magazine
University of Western Sydney degree offer diploma Transcript
University of Western Sydney degree offer diploma Transcript
Leonardo DiCaprio House: A Journey Through His Extravagant Real Estate Portfolio
Leonardo DiCaprio House: A Journey Through His Extravagant Real Estate Portfolio
The Enigmatic Portrait, In the heart of a sleepy town
The Enigmatic Portrait, In the heart of a sleepy town
The Gallery of Shadows, In the heart of a bustling city
The Gallery of Shadows, In the heart of a bustling city
From Teacher to OnlyFans: Brianna Coppage's Story at 28
From Teacher to OnlyFans: Brianna Coppage's Story at 28
Tom Cruise Daughter: An Insight into the Life of Suri Cruise
Tom Cruise Daughter: An Insight into the Life of Suri Cruise
Abraham Laboriel Records ‘The Bass Walk’ at Evergreen Stage
Abraham Laboriel Records ‘The Bass Walk’ at Evergreen Stage
Brian Peck Leonardo DiCaprio: A Unique Intersection of Lives and Legacies
Brian Peck Leonardo DiCaprio: A Unique Intersection of Lives and Legacies
The Future of Independent Filmmaking Trends and Job Opportunities
The Future of Independent Filmmaking Trends and Job Opportunities
The Enigma of the Midnight Canvas, In the heart of Paris
The Enigma of the Midnight Canvas, In the heart of Paris
Operations with sets
- 1. Set Operations & Cartesian Products
- 2. Unions
- 3. Examples; Unions of Sets
- 5. Examples; Intersection of Sets
- 7. Examples; Difference of Sets
- 8. Ordered Pairs Order Matters! Different than sets In sets, it does not matter what order the elements are in Ordered pairs are equal only if both first components are the same and both second components are the same
- 9. Cartesian Products Named after Rene Descartes • Formulated analytic Geometry • French Philosopher • “I think, therefore I am”
- 10. Cartesian Products of Sets
- 11. End of Day 1
- 12. Cartesian Products “ORDER MATTERS”
- 13. The order in which the sets are Finding Cartesian listed matters. products First component is always from set A Second component is always from Set B Example N= {4, 3, 2} T = {1, 5} Find the Cartesian Product N x T Pair each element of N with each element of T {(4,1), (4,5), (3,1), (3,5,), (2,1,), (2,5)}
- 14. Example: Cartesian Product of a set with itself • Let Z = {5, 9, 3, 6} • Find Z x Z • {(5,5), (5,9), (5,3), (5,6), (9,5), (9,9), (9,3), (9,6), (3,5),(3,9), (3,3), (3,6), (6,5), ( 6,9), (6,3), (6,6)}
- 15. Multiply together the cardinal Cardinal Numbers of numbers for each set, to find the Cartesian Cardinal Number (total # of Products elements) in the Cartesian Set n(A) • n(B) Let n(A) = a Order of sets doesn’t change Let n(B) = b cardinal number of the Cartesian Products n(A) • n(B) = n(B) • n(A)
- 16. Cardinal Number of Cartesian Products • P = {2,5,7} Q = {8, 9, 10} • FIND P X Q • {(2,8), (2,9), (2,10), (5,8), (5,9), (5,10), (7,8), (7,9), (7,10)} • n(P x Q) = 9 • n(P) =3 and n(Q) = 3 • n(P) • n(Q) = 9 • FIND Q X P • {(8,2), (8,5), (8,7), (9,2), (9,5), (9,7), (10,2), (10,5), (10,7)} • n(Q x P) = 9
- 17. Venn Diagrams REPRESENT SET OPERATIONS WITH VENN DIAGRAMS • COMPLIMENT • INTERSECTION • UNION • DIFFERENCE • CARTESIAN PRODUCT
- 18. Same Same
- 19. f g U A B a b d e c