evidence. 3. 624-547 BC- The Thales of Miletus was said to be the person to bring the science of geometry from Egypt to Greece. He created the Thales’ Theorem. 4. 569-475 BC- The next great geometer was Pythagoras. He had created the Pythagorean Theorem that states in a right triangle the sum of sides A and B are equivalent to side C. 5. 400-355 BC- Eudoxus of Cnidus was the one who discovered the Theory of Proportions. Where in there are methods to find the area and volumes of figures
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support them. Ex: In the English alphabet‚ A comes before B. In math‚ you could draw a line through any two distinct points given. Theorem- information that seem true but must be proven (like solving a mystery) using the postulates. Ex: The Pythagorean theorem is proven true by using mathematical equations and postulates. Points postulate- There is exactly one line through any two points. When given two points‚ you could draw a line through them. Intersecting lines postulate- When two lines
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goes in the quadratic factor‚ a2 – ab + b2. Some people use the mnemonic "SOAP" for the signs; the letters stand for "same" as the sign in the middle of the original expression‚ "opposite" sign‚ and "always positive". a3 ± b3 = (a [same sign] b)(a2 [opposite sign] ab [always positive] b2) Whatever method helps you best keep these formulas straight‚ do it‚ because you should not assume that you’ll be given these formulas on the test. You really should know them. Note: The quadratic part of each
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Munir 1 Mustafain Munir Professor Moore Ancient Greek and Roman Music 12 December 2013 Microtonal Phenomena in Ancient Greek and Classical Indian Music The semitone today is almost unanimously used in Western Music to divide the octave into twelve equal intervals‚ and rarely are further divisions used; this is called twelve-tone equal temperament. In opposition‚ the common division of the octave in Arab music today is the quartertone‚ a type of microtone exactly one half a semitone‚ and
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spectrum sensing in cooperative multiple-input multiple-output (MIMO) wireless cognitive radio (CR) networks. In this context‚ we consider several optimal classification schemes such as support vector classifiers (SVC)‚ logistic regression (LR) and quadratic discrimination (QD) for primary user detection. It is demonstrated that these classification techniques have a significantly reduced complexity of implementation in practical CR applications compared to conventional likelihood based detection schemes
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total marks for this paper is 80. _____________________________________________________________________________ This paper consists of 6 printed pages including the cover page. [Turn over] Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation [pic]‚ [pic] Binomial expansion [pic]‚ where n is a positive
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Purpose The purpose of this experiment is to test Coulomb’s Law which states that the force between two spherically symmetric charged objects is directly proportional to the product of the charges‚ and inversely proportional to the square of the distance between the centers of the two charges. In mathematical vector notation Coulomb’s Law is expressed as where Fr is the force on particle 1 due to particle 2 in Newtons‚ q is the charge on 12 1 particle 1 in Coulombs‚ q2 is the charge on particle
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distance between any horizontal lines is the difference between the absolute value of x1 and x2 or vice versus. Distance Formula Activities III: Students will find the distance between 2 points using the distance formula and the Pythagorean Theorem will also be reviewed. Students should be able to find the distance between 2 points on a coordinate plane after these activities.
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The Neolithic Revolution and the Renaissance provided mankind with new ways of life. Although these advancements in architecture‚ agriculture‚ education and ideas transpired in different periods of history‚ they both had massive effects on our way of life today. Without these revolutions‚ our lives today would be unrecognizable. Life was drastically different before the Neolithic Revolution. During the Paleolithic Period‚ people were nomads. They lived in groups of 20-30‚ and survived solely
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into two time periods to include the Western Han‚ also known as the Former Han (206 BC - 9 AD) and the Eastern Han‚ also known as the Later Han (25-220 AD). During this time period‚ people in China even discovered square roots‚ cube roots‚ the Pythagorean theorem and improved calculations of pi‚ to name a few. One of the most well known discovery to come out of the Han Dynasty was the first discovery and use of negative numbers in the world. Finally‚ it has been discovered that early forms of
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