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Q: Least squares for solving differential algebraic equations?
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What has the author Fadil Santosa written?

Fadil Santosa has written: 'An analysis of least-squares velocity inversion' -- subject(s): Inverse problems (Differential equations), Measurement, Seismic waves


How is solving an equation that includes cubes similar to solving an equation that includes squares and how is it different?

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Who invented special products as identities?

The concept of special products as identities in mathematics was not invented by a single individual. It is a fundamental principle in algebra that describes certain algebraic patterns or expressions that simplify into known equations or forms, such as the binomial theorem or the difference of squares.


What is the definition of algebraic notation?

in algbraic notation squares are named by combining the letter or their file with the number of their rank


How do you determine that two vectors are orthogonal?

'Orthogonal' just means 'perpendicular'. You can establish that if neither vector has a component in the direction of the other one, or the sum of the squares of their magnitudes is equal to the square of the magnitude of their sum. If you have the algebraic equations for the vectors in space or on a graph, then they're perpendicular if their slopes are negative reciprocals.


What has the author M M Hafez written?

M. M Hafez has written: 'A modified least squares formulation for a system of first-order equations' -- subject(s): Least squares


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There are basically two techniques for finding the area of a shape with uneven or irregularly shaped sides. If the sides can be described by algebraic equations, then integral calculus can be used to find the area. Failing that, you can approximate the irregular shape by fitting in a number of smaller, regularly shaped polygons such as squares and triangles, whose area can be calculated by simple geometric techniques.


How is transforming a formula similar to solving an equation with just one variable?

Sometimes we are given a formula, such as something from geometry, and we need to solve for some variable other than the "standard" one. For instance, the formula for the perimeter P of a square with sides of length s is P = 4s. We might need to solve this equation for s because we have a lot of squares' perimeters, and we want to plug those perimeter values into one formula and have that formula (maybe in our graphing calculator) spit out the value for the length of each square's side. This process of solving a formula for a specified variable is called "solving literal equations".


The product of 2 numbers is 24 and the sum of their squares is 73 create a system of two nonlinear equations?

xy=24 (x^2)+(y^2)=73


What are the main rules of solving the Rubik's Magic mechanical puzzle?

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Addition, subtraction signs, brackets, squares and powers, square roots and roots, fractions. Random variables are also used, like x.


What is the formula for solving single factor ANOVA?

There is no single formula.It is necessary to calculate the total sum of squares and the regression sum of squares. These are used to calculate the residual sum of squares. The next step is to use the appropriate degrees of freedom to calculate the mean regression sum of squares and the mean residual sum of squares.The ratio of these two is distributed as Fisher's F statistics with the degrees of freedom which were used to obtain the average sums of squares. The ratio is compared with published values of the F-statistic since there is no simple analytical form for the integral.