Compression Of 1 2 Math

This compression ratio calculator can be used to work out the compression ratio of your engine.

Compression of 1 2 math. If the constant is between 0 and 1 we get a vertical compression. An experiment of mean compression of various sizes and their relative compression ratio of nasa images. 2 undergraduate student hostos community college. Image compression the mathematics of jpeg 2000 jin li microsoft research communication collaboration and signal processing one microsoft way bld.

If the constant is greater than 1 we get a vertical stretch. Let y f x be a function. Mathematics behind image compression. Now to vertically compress this curve you put a fraction coefficient in front of the x component of the graph.

The graph below shows a function multiplied by constant factors 2 and 0 5 and the resulting vertical stretch and compression. In the above function if we want to do horizontal expansion or compression by a factor of k at every where of the function x co ordinate has to be multiplied by the factor k. Poisson s ratio is a measure of the poisson effect that describes the expansion or contraction of a material in directions perpendicular to the direction of loading the value of poisson s ratio is the negative of the ratio of transverse strain to axial strain for small values of these changes is the amount of transversal expansion divided by the amount of axial compression. How to do horizontal expansions or compressions in a function.

1 assistant professor of mathematics department of mathematics hostos community college the city university of new york usa. Different types of math transformation there are different types of math transformation one of which is the type y f bx. This squashes the graph down by a factor of 2. Tanvir prince 1 william ashong katai 2 ildefonso salva 3 karina m.

Plot your own points to convince yourself of this. You could change the function to multiply x by 1 2 before doing any other operations. This type of math transformation is a horizontal compression when b is greater than one. We can graph this math transformation by using tables to transform the original elementary function.

1 2 corresponds to a a compression of y 1 2 in the x direction by a factor of 3 followed by a shift in the. The gas volume in the cylinder with the piston at its highest point top dead center of the stroke tdc and the gas volume with the piston at its lowest point bottom dead center of the stroke bdc. The compression ratio is the ratio between two elements. Or another way to look at it every y value in this curve is 1 2 of the value in the starting curve.

Vertical compression means making the y value smaller for any given. In math terms you can stretch or.