This case arises frequently in statistics for example, in the distribution of the vector of residuals in the ordinary least squares regression.

The Einstein field equations are nonlinear and very difficult to solve.

We can see now what was barely recognizable in the original 17 red and orange squares are juxtaposed with just two green squares.

Nonlinear optics (NLO) is the branch of optics that describes the behavior of light in nonlinear media , that is, media in which the dielectric polarization P responds nonlinearly to the electric field E of the light.

And we like to draw these tiles as little squares.

There are many garden squares in London, England, for example.

Then they disappear and they're replaced by squares, and they have to press the squares that correspond to the numbers from low to high to get an apple reward.

So these dark blue squares show you where it's effective phototherapy.

The shaded squares are used to separate the words or phrases.

The security forces blocked some of the major squares and intersections in Cairo.

Streets and squares, newspapers and literary journals became the ground for free public expression.

Wisdom calls aloud in the street. She utters her voice in the public squares.

Should your springs overflow in the streets, streams of water in the public squares?

In mathematics, the Benjamin Ono equation is a nonlinear partial integro differential equation thatdescribes one dimensional internal waves in deep water.

Now she is in the streets, now in the squares, and lurking at every corner.

Now, if we have evidence, which we now have, that wetlands, forests, unclear monsoon system, the rainforests, behave in this nonlinear way.

Woman 2 I'm a little bit confused. Woman 3 They look like the squares to me.

A Java applet to decompose a natural number into a sum of up to four squares.

Four of the castle squares are placed so they are exactly 25 moves from the Charkoni.

And the altar shall be twelve cubits long, twelve broad, square in the four squares thereof.

And could we even, thanks to major advancements in Earth systems science, identify the thresholds, the points where we may expect nonlinear change?

A field theory showing this property is usually called completely exceptional and Born Infeld theory is the only completely exceptional regular nonlinear electrodynamics.

I invite our people to the squares and airports to stand up for our democracy and national will.

A shape with an area of three square metres would have the same area as three such squares.

But, for now, Tahrir and other squares are once again uniting the pro change forces, whether Islamist or not.

For example, in a statistical linear model, it is assumed that a relationship is linear in the parameters, but it may be nonlinear in the predictor variables.

Similarly, a differential equation is said to be linear if it can be written with linear differential operators, but it can still have nonlinear expressions in it.

It means that I can take these two identical squares, and I can put them in light and dark surrounds.

We either get the rights of the martyrs, or die like them, chanted hundreds of thousands in Tahrir and other Egyptian squares.

The goal is to fill the white squares with letters, forming words or phrases, by solving clues which lead to the answers.

Now, that's also wrong, because traffic happens to be a nonlinear phenomenon, meaning that once you reach above a certain capacity threshold then congestion starts to increase really, really rapidly.

Over longer distances, a shock wave can change from a nonlinear wave into a linear wave, degenerating into a conventional sound wave as it heats the air and loses energy.

A common strategy is for returning pieces to stay on these squares, where they are safe from capture, until a 25 is thrown.

Dynamic systems theory stresses nonlinear connections (e.g., between earlier and later social assertiveness) and the capacity of a system to reorganize as a phase shift that is stage like in nature.

If some of you play chess, you'll know that 64 is a square number, and that's why chessboards, eight by eight, have 64 squares.

These parties made no effort to reach out to the new regimes and the rising new generations in the public squares of the Arab world.

Partial Differential Equations in Cleve Moler Numerical Computing with MATLAB Example problems with solutions at exampleproblems.com Partial Differential Equations at mathworld.wolfram.com Partial Differential Equations at nag.com Dispersive PDE Wiki NEQwiki, the nonlinear equations encyclopedia

Since the uprisings started around the Arab world, we have become accustomed to seeing the image of thousands of protesters taking to the squares and streets.

By the end of 2002, Room for Squares had spawned several radio hits, including No Such Thing, Your Body Is a Wonderland , and ultimately, Why Georgia .

In the squares of both Tunisia and Egypt, demonstrators who had felt alienated and isolated under repressive regimes were overjoyed to discover that they were not alone.

The test statistic T in this instance could be set to be the sum of squares about the sample mean, divided by the nominal value for the variance (i.e.

And I think in the next five or 10 years, we'll make the kind of squares that I described and maybe even get to some of those self assembled circuits.

The power struggle pitted the forces of Hosni Mubarak s regime against the people, including women, who were on the streets and in the squares demanding freedom, dignity, and social justice.

By refusing to leave the streets and squares of Kyiv, Ukraine s mass volunteer army of democrats forced our country s gray old men of the past to retreat into the past.

Meskel Square is one of the noted squares in the city and is the site for the annual Meskel at the end of September annually when thousands gather in celebration.