MTH 333 Writing Project Abdullah Aurko MTH 333 Writing Project Topic- Connectedness: A topological property I am working on concept of connectedness of a topological space as the topic for my writing project. I wish to proceed by giving a formal definition of the concept with proof and proving that connectedness is a topological property. This will be followed up with the proofs of several interesting and essential theorems involving connectedness of a topological space and how it enables us to
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overlap with convex geometry and computational geometry, and is closely related to subjects such as finite geometry, combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory,toric geometry, and combinatorial topology. Although polyhedra and tessellations have been studied for many years by people such as Kepler and Cauchy, modern discrete geometry has its origins in the late 19th century. Early topics studied were: the density of circle packings by Thue,projective
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Sample Exam 2 - MATH 321 Problem 1. Change the order of integration and evaluate. (a) (b) 2 0 1 0 1 (x y/2 + y)2 dxdy. + y 3 x) dxdy. 1 0 0 x 0 y 1 (x2 y 1/2 Problem 2. (a) Sketch the region for the integral f (x, y, z) dzdydx. (b) Write the integral with the integration order dxdydz. THE FUNCTION f IS NOT GIVEN, SO THAT NO EVALUATION IS REQUIRED. Problem 3. Evaluate e−x −y dxdy, where B consists of points B (x, y) satisfying x2 + y 2 ≤ 1 and y ≤ 0. − Problem 4. (a) Compute the integral
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size geographically. Is it a network that is in a room or small office building? Or do the systems attached to the network span the entire length of a state? Local Area Network or LAN is two or more electronic devices that are connected with in a limited area such as a room or building. The evolution of LANs has changed as technology has become more powerful. Early local area networks used coaxial cable as a means to communicate. Then in the 80s twisted pair starting with Cat3 cable made the
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1. Preliminaries 1. Set operations A set is a collection of some items such as outcomes of an experiment. We denote sets using upper case letters, say A and write a ∈ A if a is an element belonging to A. If A and B are two sets, then the notation A ⊆ B means that the set A is included in B , i.e. each element of A is also an element of B : A⊆B iff [∀a ∈ A : a ∈ B ] If A ⊆ B and A = B then we say that the set A forms a proper subset of B and write A ⊂ B . Dorota M. Dabrowska (UCLA)
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Math 5616H Midterm 1 with solutions Spring 2013 March 8, 2013 Total 80 points 1. (15 points) Let f (x) and g(x) be real continuous functions on an interval [a, b], such that b b f 2 (x) dx = a a b g 2 (x) dx = 1. Prove that a f (x)g(x) dx ≥ −1, and that a b f (x)g(x) dx = −1 if and only if f ≡ −g on [a, b]. Answer: Since f and g are continuous, so is (f + g)2 , which is therefore integrable. We compute: b b b b b 0≤ a b [f (x)+g(x)]2 dx = a f (x)2 dx+2 a
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November 20, 2011 Academic and Professional Success UNIV103-1104B-276 My Foundations Labs lets you evaluate your academic foundational skill set so you can self-motivate to enhance your strengths and strengthen your weak areas. We completed sections in Math, Reading and Writing in My Foundations Lab. I completed assignments in Math, Reading and Writing sections of My Foundations Lab. I started off by first doing the Reading section of the assignment first. I chose this section first
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_ _ _ _ _ _ _ _ _ _ i _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ b _ _ _ _ _ _ _ _ ,_ _ _ _ _ _ _ _ _ _ _-_ _ i _ _ _ _ _ _ _ _ _ b _ _ _ _ _ _ _ _ _ _ _ _ _ _. Questions: Answers: 1. y=/2x-1/ – what is its Range A. R(-∞,5/2)U(5/2,∞) in set notation? J. D(5,∞) 2. y=5x+15 – what is its Domain C. R(-∞,1/2)U(1/2,∞)
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User Manual Critique The user manual is for the Samsung GT-S5250 mobile device. It is a user manual with instructions, operation, and maintenance of the Samsung Wave smart phone. In order to approve or disapprove of this user manual, the manual will be critique in six criteria: Organization, order of information, access features, variety features, graphics, and content. Provide positive and negative examples from the online manual that represent each aspect of your designated criteria.
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Qualtrics Offices: A Big Eye Opener People take cues from external stimuli about their expected behavior. From the clothes that are worn, to the car one drives, to the words one uses around you – all of this tends to influence one’s attitude and behavior. One’s physical workspace is another big determinant of HOW one works. Reflecting upon the experience visiting Qualtrics, I believe the special physical environment they’ve created positively influences their level of collaboration, teamwork
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