A sea saw
The answer to this question is more like an opinion than a solid fact. Several different mathematicians have been attributed to contributions in imaginary and complex numbers, but the work of Leonhard Euler gave new meaning to how imaginary and complex numbers behave, and how they can be used to simplify the analysis of something very real: waves (especially electromagnetic waves).Euler's Formula: e^(i*Θ) = cos(Θ) + *sin (Θ)
There are more irrational numbers than rationals.The diagonal of a 1 x 1 square is irrational.pi, the ratio of the circumference and diameter of a circle is irrational. Almost anything to do with circular, spherical, ellipsoidal shapes will involve pi.pi is also involved in harmonic motion - pendulums, sound waves, light waves, a springboard bouncing up and down (except that damping will soon stop it).e, the base of logarithms and whose real significance is apparent in advanced mathematics, is irrational.
The square root of any negative number is not a real number. denoted as i for imaginary because it does not exist, in the normal concept of numbers.Complex numbers (which include real and imaginary numbers) are combinations of real & imaginary numbers.While these numbers do not exist in the everyday concept of numbers, they are important in concepts of electricity and waves.
Because there is no real number which you can square, which will result in a negative real number. So they came up with imaginary numbers, and denoted the letter i to represent the square root of negative one. At first, they were thought to be just that - imaginary - nonexistent, whose only purpose was to fill in and make equations solvable. But now these numbers are useful in solving equations which govern electrical waves and other types of wave motion.
See related link for more information.Originally, they were created so that every polynomial would have a solution. For example, the polynomial x² - 1 = 0 is a second order polynomial, so it should have 2 solutions. It does have 2 real solutions: 1 & -1. You can graph y = x² - 1 and see where the graph crosses the x-axis (these are the x coordinates that make y=0 and satisfy the equation). But what about x² + 1 = 0. If you graph y = x² + 1, it does not cross the x axis, but every polynomial is supposed to have a number solutions equal to the order {2nd order should have 2 solutions, 3rd order should have 3 solutions, etc.}To handle polynomials like this, a number i was created such that i² = -1. Now this number i can be used to solve x² + 1 = 0. The solutions are x = i & -1. For many years, these numbers were considered just an imaginary concept, and for not much use until the work of Euler related them to sines and cosines. Now, imaginary and complex numbers are used to express the relationships between waves (in particular, electromagnetic waves and alternating current electricity).
to funnel or pass sound waves through the ear to the middle ear
Yes :)
eah pretty much. i just studied that in school
To convert sound waves into mechanical waves
Primary waves and secondary waves (body waves). Love waves and rayleigh waves (surface waves) do not travel through the earth's mantle. Though secondary waves do not go through liquids, the asthenosphere is only a semi-liquid, so secondary waves can still go through it.
No, an example of this is japan when the earthquake occurred in the middle of the ocean this sent tremors through the earth which caused waves to be sent out from the point of the quake, a tsunami is when the huge waves hit land, when these waves hit japan it was a tsunami
The type of waves that travel through matter are Electromagnetic waves.
s-waves travel through solids only
They start from the middle, and spread out equally.
This depends on the type of wave. Some examples are.Electromagnetic wave, Through almost anything.Sound waves, through matter.Compression waves through solids, liquids and gases.Transverse waves through solids only.
Shear waves travel through solids. They cannot travel through liquids and gasses (unlike compressive waves) and they can't travel through a vacuum (unlike electromagnetic waves).
Waves can travel through many media, depending on their nature. Sound waves can go through solids, liquids and gases. Transverse shock waves can only travel through solids. Electromagnetic waves can go through some solids, liquids or gases, or through a vacuum.