its mystery. Fourier transform and Fourier analysis which originated from Fourier series show more applications in both engineering and physics. In physics, not only can Fourier series be used to solve the heat equation in one dimension but in two or three dimensions as well. Similarly, problems associated with a vibrating string can be solved as well. These two types of problems are called boundary value problems, which seek to determine solutions of partial differential equations satisfying certain prescribed conditions called boundary conditions. The use of Fourier series can provide some of these problems a solution. In addition to boundary value problems, Fourier series along with Fourier transform and analysis find their great use in optics, forming Fourier optics which enables people to use a new theory to study light. Besides, Fourier analysis is one of the foundations of wavelet analysis, which has been widely applied to some technology such as signal processing, picture processing, automatic speech recognition and so on.
Puzzle No.3
Last month I sent off for one of those kits which you can use to make your
own Christmas Crackers. The kit contained:
Three colours of hat: Red, Yellow and Blue
Four types of novelty: toy car, spinning top, magnifying glass and miniature
hair brush
Four different types of joke slip
All the other parts were the same type. The kit contained enough bits for
50 crackers. Can I make each cracker different from all the others?
40
Made with FlippingBook - Online Brochure Maker