Sentence examples for equations from inspiring English sources

Sine and Cosine This relationship is expressed by the two most fundamental equations of trigonometry: x = r × cos θ y = r × sin θ Or, equivalently: cos θ = x/r sin θ = y/r Sin (sine) is the ratio of the vertical side (the side opposite the corner we're looking at) to the hypotenuse.

The general formula for finding the area of a triangle is area = ½ × base × height which is also equal to area = ½ × a × b × sin C. The choice of which angle is which in all of these equations is of course completely arbitrary, so feel free to swap around a, b and c at will, as long as you also swap A, B and C to make them fit.

"I don't believe in equations of that kind.

In the macro-models of the time, Keynesian demand-side equations had been supplemented by a supply-side equation, the Phillips curve, linking nominal wage and price increases to the level of unemployment (the lower unemployment, the higher inflation); and economists and politicians sought to set the unemployment level so as to achieve their preferred combination of output and inflation.

An Almaz-Antey expert presented several slides showing graphs, equations and 3D-reenactments, which he said showed that damage to the aircraft was consistent with the impact from a Buk missile but only from the older Buk M-1 system.

The simplest computer can run rings around the brightest person when it comes to wading through complicated mathematical equations.

Once the dark energy was discovered and discovered to be positive it was shown that it will continue to expand.The equations as we know them now do not seem to permit the possibility that it will implode.

At the same time, the most powerful computers have, in the past, struggled with things that people find trivial, such as recognising faces, decoding speech and identifying objects in images.One way of understanding this is that for humans to do things they find difficult, such as solving differential equations, they have to write a set of formal rules.

These might be anything from a field biologist's notes of lemming populations on Spitzbergen to a physicist's creation of muon tracks in a cloud chamber, or from a set of equations in the mathematical imagination to a vast computer model of the world's climate.In this section Tough love What is it for?

As time marches on, all possible universes implicit in all quantum equations describing every single particle in the currently observable universe actually do come into existence and each then splits in a similar way, and so on.Compared with even the weirdness of the Copenhagen interpretation, this is a mind-blowing idea.

Small wonder that most physicists prefer to concentrate on the business of manipulating quantum mechanics' equations, and to avoid the headache by not even thinking about what those equations might really mean.Most, but not all.