Analytic calculation of the nonzero fast wave reflection coefficient
... before the cutoff, were shown to be independent of absorption. However, analytic expressions for other scattering parameters which do change with absorption have been unknown so far. Here, we go further along this direction and develop a new method to calculate some of those nonzero integrals analyt ...
... before the cutoff, were shown to be independent of absorption. However, analytic expressions for other scattering parameters which do change with absorption have been unknown so far. Here, we go further along this direction and develop a new method to calculate some of those nonzero integrals analyt ...
notes
... any length of line: even a 1 cm line, a 1 mm line, or even an infinitesimal length of line. From this notion, then, we see that the series impedance and shunt admittance are in fact distributed along the entire length of the line and not simply lumped at a single location. As a result, we refer to z ...
... any length of line: even a 1 cm line, a 1 mm line, or even an infinitesimal length of line. From this notion, then, we see that the series impedance and shunt admittance are in fact distributed along the entire length of the line and not simply lumped at a single location. As a result, we refer to z ...
Solving Equations with Variables on Both Sides
... variables on both sides of the equal sign. Solving an equation with variables on both sides is similar to solving an equation with a variable on only one side. You can add or subtract a term containing a variable on both sides of an equation. ...
... variables on both sides of the equal sign. Solving an equation with variables on both sides is similar to solving an equation with a variable on only one side. You can add or subtract a term containing a variable on both sides of an equation. ...
Algebra Notes
... Proof: First suppose b1 6= 0. Then solve the line equation for y in terms of x, and substitute it into the circle equation. This shows that the x-coordinate of intersection, p, is the root of a degree-2 polynomial with coefficients in F , so [F (p) : F ] is either 2 or 1. Plugging p into the x-varia ...
... Proof: First suppose b1 6= 0. Then solve the line equation for y in terms of x, and substitute it into the circle equation. This shows that the x-coordinate of intersection, p, is the root of a degree-2 polynomial with coefficients in F , so [F (p) : F ] is either 2 or 1. Plugging p into the x-varia ...
Factors oF aLgebraic eXpressions
... In class VII, you have learnt that terms of an algebraic expression are formed as the product of factors. For example, in the algebraic expression 7xy + 8y, the term 7xy is formed by the product of 7, x and y. We say that 7, x and y are factors of 7xy. Similarly, the product of 3a2 and 5a + 4b = 3a2 ...
... In class VII, you have learnt that terms of an algebraic expression are formed as the product of factors. For example, in the algebraic expression 7xy + 8y, the term 7xy is formed by the product of 7, x and y. We say that 7, x and y are factors of 7xy. Similarly, the product of 3a2 and 5a + 4b = 3a2 ...
![Chapter 4, Arithmetic in F[x] Polynomial arithmetic and the division](http://s1.studyres.com/store/data/000416179_1-cd8ab6f583cc31262823299b7fe0d22a-300x300.png)
x - ClassZone
... Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and 3 and 2 + 5 as zeros. SOLUTION ...
... Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and 3 and 2 + 5 as zeros. SOLUTION ...