Pearson’s Correlation Coefficient Pearson’s correlation coefficients are the most widely used method of measuring the degree of relationship between two variables. This coefficient assumes the following: That there is a linear relationship between the two variables; That the two variables are casually related which means that one of the variables is independent and the other one is dependent; and A large number of independent causes are operating in both the variables so as to produce a normal
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through a heat transfer coefficient. Heat is generated in the slab at the rate of 1.0 kW/m3. The thermal conductivity of the slab is 0.2 W/m-K. (a) Solve for the temperature distribution in the slab‚ noting any assumptions you must make. Be careful to clearly identify the boundary conditions. (b) Evaluate T at the front and back faces of the slab. (c) Show that your solution gives the expected heat fluxes at the back and front faces. Q.2 Compute overall heat transfer coefficient U for the slab shown
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Quadratic Equation: Quadratic equations have many applications in the arts and sciences‚ business‚ economics‚ medicine and engineering. Quadratic Equation is a second-order polynomial equation in a single variable x. A general quadratic equation is: ax2 + bx + c = 0‚ Where‚ x is an unknown variable a‚ b‚ and c are constants (Not equal to zero) Special Forms: * x² = n if n < 0‚ then x has no real value * x² = n if n > 0‚ then x = ± n * ax² + bx = 0 x = 0‚ x = -b/a
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6 Systems Represented by Differential and Difference Equations Recommended Problems P6.1 Suppose that y 1(t) and y 2(t) both satisfy the homogeneous linear constant-coeffi cient differential equation (LCCDE) dy(t) + ay(t) = 0 dt Show that y 3 (t) = ayi(t) + 3y2 (t)‚ where a and # are any two constants‚ is also a solution to the homogeneous LCCDE. P6.2 In this problem‚ we consider the homogeneous LCCDE d 2yt + 3 dy(t) + 2y(t) = 0 dt 2 dt (P6.2-1) (a) Assume that a solution to
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conditions‚ the temperature change (∆T¬) is approximately proportional to the heat (Q). The constant proportionality is called the heat capacity. Given by the equation: Heat capacity = Q / ∆T While specific heat capacity (c) is the heat capacity per unit mass. Given by the equation: c = Q/m∆T where: c - specific heat capacity Q – heat m - mass ∆T – change in temperature And derived from that equation we could get heat: Q = mc∆T The measurement of heat is often made by applying the
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329 Quadratic Equations Chapter-15 Quadratic Equations Important Definitions and Related Concepts 1. Quadratic Equation If p(x) is a quadratic polynomial‚ then p(x) = 0 is called a quadratic equation. The general formula of a quadratic equation is ax 2 + bx + c = 0; where a‚ b‚ c are real numbers and a 0. For example‚ x2 – 6x + 4 = 0 is a quadratic equation. 2. Roots of a Quadratic Equation Let p(x) = 0 be a quadratic equation‚ then the values of x satisfying p(x) = 0 are called its roots or
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Variables 1 Corporate variables ADD1 -- Address Line 1 ADD2 -- Address Line 2 ADD3 -- Address Line 3 ADD4 -- Address Line 4 ADDZIP -- Postal Code BUSDESC -- S&P Business Description CITY -- City CONML -- Company Legal Name COUNTY -- County Code DLRSN -- Research Co Reason for Deletion EIN -- Employer Identification Number FAX -- Fax Number FYRC -- Current Fiscal Year End Month GGROUP -- GIC Groups GIND -- GIC Industries GSECTOR -- GIC Sectors GSUBIND -- GIC
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Mathematics With Equations Jesse J. Oliver Jr. Mathematics 126: Survey of Mathematical Methods Professor Matthew Fife Thursday‚ January 24‚ 2013 Ascertaining Mathematics With Equations The abstract science of a number‚ quantity and space that can be studied in its very own right or as it may be applied to other disciplines and subject matters in several aspects‚ one considers to be that of mathematics. The problem of testing a given number for “primality” has been known to be proven by Euclid
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While the ultimate goal is the same‚ to determine the value(s) that hold true for the equation‚ solving quadratic equations requires much more than simply isolating the variable‚ as is required in solving linear equations. This piece will outline the different types of quadratic equations‚ strategies for solving each type‚ as well as other methods of solutions such as Completing the Square and using the Quadratic Formula. Knowledge of factoring perfect square trinomials and simplifying radical expression
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ME 381 Mechanical and Aerospace Control Systems Dr. Robert G. Landers State Equation Solution State Equation Solution Dr. Robert G. Landers Unforced Response 2 The state equation for an unforced dynamic system is Assume the solution is x ( t ) = e At x ( 0 ) The derivative of eAt with respect to time is d ( e At ) dt Checking the solution x ( t ) = Ax ( t ) = Ae At x ( t ) = Ax ( t ) ⇒ Ae At x ( 0 ) = Ae At x ( 0 ) Letting Φ(t) = eAt‚ the solution
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