However, in the case of a tie between a greater number of unsuccessful candidates a special ballot shall be held for the purpose of reducing the number of candidates to the required number; if a tie again results among more than the required number of candidates, the President shall reduce ...
5.A complex of variable elements or factors:"The world was full of equations ... there must be an answer for everything, if only you knew how to set forth the questions"(Anne Tyler). e·qua′tion·aladj. e·qua′tion·al·lyadv. ...
Solve the following equation for x: {eq}\displaystyle \sqrt{x + 4} = - 7 {/eq} Squaring a number: Squaring a number means multiplying the number with itself. We can better understand it by the example mentioned below: let a number be {eq}x {/eq}, then the square of the ...
In this article we formalize several basic theorems that correspond to Pell's equation. We focus on two aspects: that the Pell's equation x2 Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental ...
An equation of state provides a relationship between density, pressure, and temperature, which we can express generally as ρ=f(p,T). The equation of state can be quite complex, and typically it will have dependencies on real-time variations in fluid properties. For crude oil and petroleum ...
Taking the square root of both sides of the equation gives x+b2a=±b2−4ac2a Thus: x=−b2a±b2−4ac2a and so we have the general formula for the solution of a quadratic equation: [10]x=−b±b2−4ac2a Consider the following three situations: • If we have (b2 − 4ac) ...
Step 3: Add a value on the left-hand side that will make it a perfect square. Step 4: Add the same value on the right-hand side. Step 5: Get the square root of both sides of the equation. Step 6: Solve for the value of x. ...
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thesquare rootof twice the wavelength (λ) times the distance (f) between the pinhole and film—i.e.,√2λf. Forf= 100 millimetres and λ = 0.0005 millimetre, the optimum hole size becomes 0.32 millimetre. This is not very exact, and a 0.4-millimetre hole would probably be just as ...
VI.A Propagating Waves The acoustic wave equation states that the pressure satisfies the equation: (62)c2∇2p=∂2p∂t2 For illustrative purposes, consider the one-dimensional case in which the waves are traveling in the x direction. The equation satisfied in this case is (63)c2∂2p∂...