Geometry Rationale Geometry is Greek for geos‚ which means Earth‚ and metron meaning measure. It can conceivably lay claim to being the oldest branch of mathematics outside arithmetic‚ and humanity has probably used geometrical techniques since before the dawn of recorded history. Initially‚ as with the Egyptians‚ geometry originated from practical necessity and the need to measure land. Geometry today is the science of observing and measuring shapes‚ surfaces‚ angles‚ lines and the relationships
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Week 7 Homework Assignment Chapter 7 Circuit Analysis Techniques 15. Derive the Thevenin equivalent of the circuit shown in Figure 7.47a. Req= (R1+R2)//(R3+R4)= 5.2k//1.5k= 1164 x 10^3= 1.2kΩ Rth= Req+R5= 1.2kΩ+1kΩ= 2200 x 10^3= 2.2kΩ Vth= Vs= 9V 16. Derive the Thevenin equivalent of the circuit shown in Figure 7.47b. Req= R1+R2= 22+33= 55Ω Vth= Vs x R3/Req+R3+R4= 12V x 120Ω/55+120+51 = 6.37V Rth= (R1+R2)//(R3+R4)= (22+33)//(120Ω+51Ω)= 41.6Ω 17. Derive the Thevenin equivalent of the circuit shown
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Machine Learning Journal (2003) 53:23-69 Theoretical and Empirical Analysis of ReliefF and RReliefF ˇ Marko Robnik-Sikonja (marko.robnik@fri.uni-lj.si) Igor Kononenko (igor.kononenko@fri.uni-lj.si) University of Ljubljana‚ Faculty of Computer and Information Science‚ Trˇ aˇka 25‚ z s 1001 Ljubljana‚ Slovenia tel.: + 386 1 4768386 fax: + 386 1 4264647 Abstract. Relief algorithms are general and successful attribute estimators. They are able to detect conditional dependencies between attributes
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1 (a) Show that = tan θ. (b) Hence find the value of cot in the form a + ‚ where a‚ b . 2 If x satisfies the equation ‚ show that 11 tan x = a + b‚ where a‚ b +. 3 The graph below shows y = a cos (bx) + c. Find the value of a‚ the value of b and the value of c. 4 The diagram below shows two concentric circles with centre O and radii 2 cm and
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C2 differentiation Maximum points‚ minimum points and points of inflection All 3 types of point are easy enough to spot on a graph: • Maximum points are the tops of ‘peaks’ • Minimum points are bottoms of ‘troughs’ • Points of inflection are where a curve stops turning ‘left’ and starts turning ‘right’ (or vice versa). An example is the point (0‚1) on the curve [pic]+1 Notes (i) Any point on a curve where the gradient is zero can be
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Honors Chemistry was always a pleasantly productive period. A typical class block entailed only a lesson and worksheet; for example‚ I would speed through a stoichiometry worksheet‚ ensure that I understood limiting reagents‚ and find myself with half of the period to occupy. Some days I would finish homework for other classes‚ while other days I would browse scientific journals on my phone. Occasionally I would use this time to “do math‚” which‚ for someone without much of a background in the subject
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Rhetorical Triangle Discussion Board PSP111-1001B-03 Presentation Essentials Rhetorical Triangle is the active correlation between the speaker‚ the audience‚ and the situation of a presentation or speech. The rhetorical triangle determines the success of a presentation or speech. When a speech executes the three primary elements of the speaker‚ the audience‚ and the situation in balance the Rhetorical Triangle is effectively complete. It is important for a speaker to give equal relevance to
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IA Task I Introduction and purpose of task: The purpose of this task is to investigate the positions of points in intersecting circles and to discover the various relationships between said circles. Circle C1 has center O and radius r. Circle C2 has center P and radius OP. Let A be one of the points of intersection of C1 and C2. Circle C3 has center A and radius r (therefore circles C1 and C3 are the same size). The point P’ (written P prime) is the intersection of C3 with OP. This is shown in
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Probability Paper David E. Nelson QNT/561 February 14‚ 2013 Professor Minh Bui Probability Paper My friends suggested that we take a hiking trip through South America this year. The reason for such a trip was to celebrate 16 years of close friendship. The four of us had known each other since we were in middle school and have since become inseparable. Even though we all lead very different lives and have even started our own families‚ we always manage to find time to spend with each other
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Bayesian Probabilistic Matrix Factorization using Markov Chain Monte Carlo Ruslan Salakhutdinov rsalakhu@cs.toronto.edu Andriy Mnih amnih@cs.toronto.edu Department of Computer Science‚ University of Toronto‚ Toronto‚ Ontario M5S 3G4‚ Canada Abstract Low-rank matrix approximation methods provide one of the simplest and most effective approaches to collaborative filtering. Such models are usually fitted to data by finding a MAP estimate of the model parameters‚ a procedure that can be
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