Draft2

Nice job Edward... A wave is a propagation of a disturbance of some property of a medium, for example, density, pressure, electric field or magnetic field, which propagates through space carrying energy. The medium may be diverse in nature as air, water, a piece of metal or vacuum. a wave more simple is a harmonic wave and it is represented by the following equation
 * The Mathematics and The Waves **

X(t) = Acos(Wt + Q) Where: A: amplitude. W: angular frecuency. Q: phase constant. the constant Q represents the value of the phase in the initial time istant.

Elements of a Wave

 * **Crest:** The crest is the highest point of the wave.
 * **Period:** The period is the time it takes the wave to get from one point of maximum amplitude to the next.
 * **Amplitude:** Amplitude is the vertical distance between a crest and the midpoint of the wave.
 * **Frequency:** The number of times that vibration is repeated in other words is a mere repetition of values for a specified period.
 * **Valley:** This is the lowest point of a wave.
 * **Wavelength:** Distance between two consecutive crest.

**Classification of the waves**

 * **Depending on the environment in which they are propagated**

**Mechanical waves:** mechanical waves need an elastic medium, for example: solid or liquid, to propagate. The particles of the medium oscillate around a fixed point, so there is no net transport of matter through the medium.

**Electromagnetic waves:** electromagnetic waves propagate d in space without a medium, and can therefore travel through a vacuum. This is because electromagnetic waves are produced by the oscillations of an electric field in conjunction with an associated magnetic field.

**Gravitational waves:** gravity waves are disturbances that alter the geometry of space-time itself and although it is common to represent __traveling in a vacuum.__ ?? to represent **them** travelling in a vacuum?


 * **In function of their propagate**
 * Waves dimensional:** one-dimensional waves are those that propagate along a single direction of space, like the waves on the ropes.


 * Two-dimensional waves:** are waves that propagate in both directions. One example is the waves that are produced in a liquid surface at rest when, for example, drops a stone in it.


 * Three-dimensional waves:** are waves that propagate in three directions. Sound is a three-dimensional wave.
 * **In function of their periodicity**

**Periodic waves:** the local disturbance that originates occurs in repeated cycles

**Non-periodic waves:** the disturbance that originates occurs in isolation or in the case of repeated, successive disturbance have different characteristics.

w aves are similar to circles, where the points of the circle move with time. A representation of this relation is the following figure



The relationship between the waves and trigonometric functions can be expressed by the following equation Y=A sin(B x k)





Where A is amplitude or opposite leg, B is an angle between the hypotenuse and adjacent leg and k is Wavelength.

**Applications of waves in science**
w aves has have many applications in various areas of science. for example in medicine, the sound waves are used to perform ultrasound on pregnant women with the objective of see ing if the baby or fetus is well, in biology in the study of animal communication. __The__ omit "the" Math is a proper name... math also play an important role, because mathematics can get the results and compare with other investigations or previous investigations.

Importance of waves
w aves are very important because they are always present in our lives, from the things we hear even the words we say. Also, __the__ waves are important to our health because with the waves __have been developed new treatments__ (ORDER: with waves new treatments have been developed) and many __people__ have been able to save __his__ __life__. "People" is plural and "his life" singular... it should be "their lives" r eally, the study of these disturbances has __been__ omit become fundamental to the technological advances that have been made.