Lecture 1 Set Operations & Applications Lecture 1 Set Operations & Applications ITP3902 Discrete Mathematics & Statistics Page 1 Lecture 1 Set Operations & Applications Sets and elements • A Set is a collection of objects. Often the objects in a set have similar properties. • Set theory is the foundation of modern mathematics. Element • The objects in a set are called its elements. • If a is an element of set A‚ it belongs to A and is written as a A. • If a does not belong to A‚ we write
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CHAPTER I: A. INTRODUCTION The GA&P TEC requested a system that will help them in their daily record. They request us to do a payroll system with time management for their company. They make a choice for time management because they only use time card and a bundy clock for their in and out. The scope of this investigation is define both the current and the future workflow needs of their department. Upon completion of the preliminary investigation: GA&P TEC will provide department with
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first term 2 and third term 32. Find the common Ratio. ix) Find the sum of the first 12 terms for the same sequence. x) There are 25 students in a class. 17 study French‚ 12 study Malay and 10 study both languages. Show this information on a Venn diagram. xi) How many study French only xii) Malay or French or both xiii) study neither xiv) study one or the other but not both xv) The measurements of a length and width of a rectangular kitchen are 5.34m and 3.48m respectively. Calculate in m2
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UML Class Diagrams and Examples Here are some examples of UML class diagrams and explanations of their contents. See if you can interpret the last diagram yourself. Refer to Handout #2 for help with the UML syntax. Example #1: Inheritance – Vehicles This diagram shows an inheritance hierarchy – a series of classes and their subclasses. Its for an imaginary application that must model different kinds of vehicles such as bicycles‚ motor bike and cars. [pic] Notes • All Vehicles
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Materials: Geometrical instruments 4024/12 October/November 2012 2 hours READ THESE INSTRUCTIONS FIRST Write your Centre number‚ candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples‚ paper clips‚ highlighters‚ glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. If working is needed for any question it must be shown in the space below that question. Omission of essential
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By: Bahredin Ali Muzeyin Materials Engineering Department Adama Science and Technology University MAEng3301 October 15‚2013 Abstract Deferent carbon content steel examined to determine the microstructure‚ concentration and hardness of the specimens. 0.2% C‚ 0.4% C and 1.0% C steel specimens were prepared by cutting. Abrasive cutter was used to cut the steels. Furnace was used for heat treatment at 900°C to make the phases separate when seen
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those features are “shared derived characters”. When we do studies in comparative anatomy‚ and find different numbers of shared derived characters exist between different groups‚ we can draw a diagram of branching lines which connect those groups‚ showing their different degrees of relationship. These diagrams look like trees and are called "phylogenetic trees" or "cladograms" (CLAY-doe-grams); see examples provided by your teacher. The organisms are at the tips of the stems. The shared derived features
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LIST OF FIGURES Fig 3.1 Power Supply…..…………………......……..….………………………………………..6 Fig 3.2 Circuit Diagram Of MAX232…………..…………………………………...……………9 Fig 3.3 PIC Diagram………..……………………………………..……………………..............13 Fig 3.4 Relay Operation….……………………………………..….….………………………....14 Fig 3.5 Relay Energized (On)……...……………………………....…………………………….15 Fig 3.6 Relay De-Energizing (Off)………...……...…………………..…………………………16 Fig 3.7 Relay Operation (2)…...………………………….…….....……………………………..17 Fig 3.8 Torque Production in Dc Motor…………………………
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Accountant Secretary Purpose payroll system data flow diagram SSS no. Position Emp. name Date Entity relationship diagram for employee & DTR SSS no. Position Emp. name Dedcution SSS Salary loan Chicken shortage Loss tore and damages Cash advance Entity relationship diagram for employee and deduction
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Venn Diagram A Venn diagram usually is a drawing‚ in which circular areas represent groups of items sharing common properties. The drawing consists of two or more circles‚ each representing a specific group or set. This process of visualizing logical relationships was devised by John Venn (1834-1923). Each Venn diagram begins with a rectangle representing the universal set. Then each set of values in the problem is represented by a circle. Any values that belong to more than one set will
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