Maths ass
In Mathematics, a periodic function is a function that repeats its values in regular intervals or periods. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity.
Periodic functions are those that repeat on a set interval. All trigonometric functions are periodic. They are useful because one can determine the value of the function anywhere in the domain. If a function is periodic, then there is some value n for which over the entire domain of the function. The smallest n-value that fits the function is called the period of f(x). (see fig. 1)
This report will be outlining the importance of the periodic function and how to use it in everyday life.
Fig 1.
This photo above provides a clear definition of what a Translational symmetry is and how it is involved with Periodic functions.
In periodic functions amplitude is term used to explain some periodic values. “The maximum absolute value of a periodic curve measured along its vertical axis. It also measures the angle made with the positive horizontal axis by the vector representation of a complex number”. (http://www.thefreedictionary.com/amplitude, 2013) see fig. 1.1.
Fig. 1.1
A period is known for the cycle length of a curve, in a periodic function. The period is distance required for the function to complete once full cycle. (see fig 1.2)
Fig 1.2
A phase shift represents the amount a wave has shifted horizontally from the original wave. Phase shifts are typically measured in degrees where a complete cycle is 360 degrees. In the diagram below, the second wave is shifted by the specified amount from the original wave:
Fig 1.3
Because the horizontal axis denotes time, a phase shift represents a shift in time from the original wave.
Phase and vertical shift refer to the transfer of a function in the horizontal and vertical directions,
Periodic functions are those that repeat on a set interval. All trigonometric functions are periodic. They are useful because one can determine the value of the function anywhere in the domain. If a function is periodic, then there is some value n for which over the entire domain of the function. The smallest n-value that fits the function is called the period of f(x). (see fig. 1)
This report will be outlining the importance of the periodic function and how to use it in everyday life.
Fig 1.
This photo above provides a clear definition of what a Translational symmetry is and how it is involved with Periodic functions.
In periodic functions amplitude is term used to explain some periodic values. “The maximum absolute value of a periodic curve measured along its vertical axis. It also measures the angle made with the positive horizontal axis by the vector representation of a complex number”. (http://www.thefreedictionary.com/amplitude, 2013) see fig. 1.1.
Fig. 1.1
A period is known for the cycle length of a curve, in a periodic function. The period is distance required for the function to complete once full cycle. (see fig 1.2)
Fig 1.2
A phase shift represents the amount a wave has shifted horizontally from the original wave. Phase shifts are typically measured in degrees where a complete cycle is 360 degrees. In the diagram below, the second wave is shifted by the specified amount from the original wave:
Fig 1.3
Because the horizontal axis denotes time, a phase shift represents a shift in time from the original wave.
Phase and vertical shift refer to the transfer of a function in the horizontal and vertical directions,