
TANGENTIAL FIELDS IN OPTICAL DIFFRACTION PROBLEMS Jirı
... Development of optical micro- and nanostructures with periodical ordering takes important place in many branches of integrated optics or nano-technology. The geometrical and material optimization of the sensors, switching elements and many other devices depends on the accurate control of their param ...
... Development of optical micro- and nanostructures with periodical ordering takes important place in many branches of integrated optics or nano-technology. The geometrical and material optimization of the sensors, switching elements and many other devices depends on the accurate control of their param ...
September 22
... The most common departure from the normal distribution is heavy tails (as in the t-distribution and other scale-mixtures of Gaussian densities). In this case, κ > 0, so the quadratic term in the estimating equation is down-weighted. But note: kurtosis is hard to estimate except in very large samples ...
... The most common departure from the normal distribution is heavy tails (as in the t-distribution and other scale-mixtures of Gaussian densities). In this case, κ > 0, so the quadratic term in the estimating equation is down-weighted. But note: kurtosis is hard to estimate except in very large samples ...
Factoring Trinomials a = 1 notes
... Algebra I Part 2 Unit 3 Day 3 - Factoring, Solving Quadratic Equations with a = 1 (8-3) Solve Equations by Factoring: ...
... Algebra I Part 2 Unit 3 Day 3 - Factoring, Solving Quadratic Equations with a = 1 (8-3) Solve Equations by Factoring: ...
Review Worksheet
... 14. How long will it take for $200 to grow to $1,500 with a continuously compounded rate of 6.2%? 15. What is the initial investment required if an account grows to $3,000 at 5.3% interest ...
... 14. How long will it take for $200 to grow to $1,500 with a continuously compounded rate of 6.2%? 15. What is the initial investment required if an account grows to $3,000 at 5.3% interest ...
Infinite sets of positive integers whose sums are free of powers
... and p divides both u and v. With x1 fixed and variables u, v, m, n in the above equation (6), the fact that p divides u and v implies that there exists a constant c3 (depending only on p and x1 ) such that min(m, n) < c3 . In particular, ...
... and p divides both u and v. With x1 fixed and variables u, v, m, n in the above equation (6), the fact that p divides u and v implies that there exists a constant c3 (depending only on p and x1 ) such that min(m, n) < c3 . In particular, ...
3. (a) - Woodmillmaths
... Two customers enter a shop to buy milk and cornflakes. Mrs Smith buys 5 pints of milk and 2 boxes of cornflakes for £688. Mr Brown buys 4 pints of milk and 3 boxes of cornflakes and receives £206 change from a £10 note. Form a pair of equations to work out the cost of a pint of milk and a box of c ...
... Two customers enter a shop to buy milk and cornflakes. Mrs Smith buys 5 pints of milk and 2 boxes of cornflakes for £688. Mr Brown buys 4 pints of milk and 3 boxes of cornflakes and receives £206 change from a £10 note. Form a pair of equations to work out the cost of a pint of milk and a box of c ...
Equation

In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.