REGULAR EXPRESSIONS AND IT’S APPLICATIONS REGULAR EXPRESSIONS A regular expression is a specific pattern that provides concise and flexible means to "match" (specify and recognize) strings of text‚ such as particular characters‚ words‚ or patterns of characters. Common abbreviations for "regular expression” include regex and regexp. It is a Compact mechanism for defining a language. OPERANDS OF REGULAR EXPRESSION The empty string ε Single characters of the underlying
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When I was given to write on the topics of Napoleon’s Theorem‚ the first thing that struck my mind was that it was somehow related to the French leader‚ Napoleon Bonaparte. But then a thought struck me: Napoleon was supposed to good at only politics and the art of warfare. Mathematics was never related to him. On surfing the internet to learn about the theorem‚ I came to know that this theorem was in fact named after the same Napoleon as he was good at Maths too (other than waging wars and killing
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The Koch Snowflake The snowflake model was created in 1904 by Helen von Koch. This snowflake appeared to be one of the earliest fractal curves. The fractal is built by starting with an equilateral triangle. One must remove the inner third of each side and replace it with another equilateral triangle. The process is repeated indefinitely. The length of each side is one which will help you determine the perimeter of each triangle. With having the perimeter of each triangle‚ the height can be determined so the area can be
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Group: _______________________________________ 1) Five equilateral triangles‚ each with side length are arranged so they are all on the same side of a line containing one side of each. Along this line‚ the midpoint of the base of one triangle is the vertex of the next‚ as shown in the diagram below. What is the area of the region that is covered by the union of the five equilateral triangular regions? Answer: Question Attempt 1 Attempt 2 Attempt 3 1 Triangles
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annulus b) A sector c) A segment d) A right triangle _____ 5. A dodecagon is a polygon of ____ sides a) 9 b) 10 c) 11 d) 12 _____ 6. A quadrilateral with no two sides parallel is a ____ a) Trapezoid b) Trapezium c) Rhombus d) Parallelogram _____ 7.An inscribed angle is measured by _____ of its intercepted arc. a) One-third b) One-half c) Twice d) Thrice _____ 8. A polyhedron whose faces are identical regular polygons is a _____ a) Prismatoid b) Prism c) Platonic solid d) Frustum _____ 9. The shape
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uses regular polygons to approximate the area of irregular polygons. This is done by the process of circumscription‚ which means that a regular polygon is placed around the irregular polygon‚ but each of the corners of the regular polygon will touch the edge of the circle. Then‚ another regular polygon is inscribed within the irregular polygon. This means that the regular polygon is placed within the irregular polygon‚ with each of the corners just touching the edges of the irregular polygon. The
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Geometry Segment 1 Notes . POLYGONS All of the figures you saw in the slideshow were polygons. A polygon is a closed figure with three or more sides. The prefix poly- means “many” while -gon means “angle.” So a polygon is a many-angled figure. 5 Sides : Pentagon 6 Sides : Hexagon 7 Sides : Heptagon 8 Sides : Octagon 9 Sides : Nonagon 10 Sides : Decagon 11 Sides : Hendecagon 12 Sides : Dodecagon A regular polygon is a many-sided figure where
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Additional Vocabulary Support The Polygon Angle-Sum Theorems Use a word from the list below to complete each sentence. concave convex equiangular polygon equilateral polygon exterior angle interior angle regular polygon concave 1. A polygon that has an interior angle greater than 1808 is a polygon. convex 2. A polygon that has no interior angles greater than 1808 is a polygon. 3. A hexagon in which all angles measure 1208 is an example of an equiangular polygon. 4. An octagon in which all angles
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Development Foundation College. Reproduction of this copyrighted material without consent of the author is punishable by law. Part of: Plane and Solid Geometry by RTFVerterra © October 2003 Sum of interior angles The sum of interior angles θ of a polygon of n sides is: Sum‚ Σθ = (n – 2) × 180° Sum of exterior angles The sum of exterior angles β is equal to 360°. ∑β = 360° A circle is circumscribed about a triangle if it passes through the vertices of the triangle. Given four sides a‚ b‚ c‚ d
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Honors Geometry Mrs. Pakula Unit 9 – Circles Name: _______________________________ Date: _________________ Hour: ________ 9.C.7 and 9.C.8 Homework – Review for Unit 9 Test Use Textbook Ch 10 and 11 P to draw the described part of the circle. 1. Draw a diameter and label it AB . 2. Draw a chord and label it GH . 3. Swimming Pool You are standing 36 feet from a circular swimming pool. The distance from you to a point of tangency on the pool is 48 feet as shown. What is the
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