Week Five Assignment-Pythagorean Quadratic MATT 221-Intro to Algebra Instructor Sharon Giles Saturday‚ March 15‚ 2014 This fifth and final week deals with the Pythagorean Quadratic. It comes from page 371 of the text as a matter of fact. It is number 98. The name of this particular problem is Buried treasure. The two key figures of the problem are Ahmed and Vanessa. The backdrop of this story is that they are searching for buried treasure and they each have half 0f he
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Bernoulli’s Principle states that for an ideal fluid (low speed air is a good approximation)‚ with no work being performed on the fluid‚ an increase in velocity occurs simultaneously with decrease in pressure or a change in the fluid’s gravitational potential energy. This principle is a simplification of Bernoulli’s equation‚ which states that the sum of all forms of energy in a fluid flowing along an enclosed path (a streamline) is the same at any two points in that path. It is named after the
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organize geometry into a rigorous body of knowledge” and his theories have had a major influence on civilization. * He developed a formal system that consisted of three parts: * Axioms * Deductive reasoning * Theorems * Axioms: * “starting points or basic assumpstions” * There are requirements for a set of axioms: * Consistent: If you can deduce a variable and its opposite from a set of axioms that that is inconsistent. Inconsistency
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The Pythagorean Scale a mathematical method that is used to create all the notes of the musical scale from the harmonic series; this scale is called the Pythagorean Scale. The naturally happening harmonics are whole number multiples. To get the other notes of the scale‚ we must use fractions. The harmonic series gives us the ability to create periods of time of perfect 5ths‚ the ratio of 3/2f‚ "f" being the starting frequency. By using these 5ths‚ we can create the pythagorean scale. We can
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Chinese remainder theorem The Chinese remainder theorem is a result about congruences in number theory and its generalizations in abstract algebra. It was first published in the 3rd to 5th centuries by Chinese mathematician Sun Tzu. In its basic form‚ the Chinese remainder theorem will determine a number n that when divided by some given divisors leaves given remainders. For example‚ what is the lowest number n that when divided by 3 leaves a remainder of 2‚ when divided by 5 leaves a remainder
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“The Arrow impossibility theorem and its implications for voting and elections” Arrow’s impossibility theorem represents a fascinating problem in the philosophy of economics‚ widely discussed for insinuating doubt on commonly accepted beliefs towards collective decision making procedures. This essay will introduce its fundamental assumptions‚ explain its meaning‚ explore some of the solutions available to escape its predictions and finally discuss its implications for political
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Geometry Definitions‚ Postulates and Theorems Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Same-side interior angles Alternate interior angles Congruent triangles Similar triangles Angle bisector Segment bisector Legs of an isosceles triangle Base of an isosceles triangle Equiangular Perpendicular bisector Altitude Definition Two angles whose measures have a sum of 90o Two angles whose measures have a sum of 180o A statement
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a NOR gate. DeMorgan’s theorems state the same equivalence in "backward" form: that inverting the output of any gate results in the same function as the opposite type of gate (AND vs. OR) with inverted inputs De Morgan’s theorem is used to simplify a lot expression of complicated logic gates. For example‚ (A + (BC)’)’. The parentheses symbol is used in the example. _ The answer is A BC. Let’s apply the principles of DeMorgan’s theorems to the simplification of
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Describe the role of courts in the criminal justice process. The courts serve as the venue where disputes are then settled and justice is administered. In Australian courts the adversarial system of trial is used to determine guilt‚ this is two sides‚ one representing the accused the other the state‚ debate over the guilt of the accused; this is mediated by a neutral third party‚ the judge or magistrate. Guilt is determined by the judge‚ magistrate or a jury. Punishment for the accused if found
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Bernoulli’s theorem i Bernoulli’s theorem‚ in fluid dynamics‚ relation among the pressure‚ velocity‚ and elevation in a moving fluid (liquid or gas)‚ the compressibility and viscosity (internal friction) of which are negligible and the flow of which is steady‚ or laminar. First derived (1738) by the Swiss mathematicianDaniel Bernoulli‚ the theorem states‚ in effect‚ that the total mechanical energy of the flowing fluid‚ comprising the energy associated with fluid pressure‚ the gravitational potential
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