Monday, September 13, 2010

Week 3 Prompt

What is a periodic function? What examples of activities in the real world have periodic behavior?

14 comments:

  1. CHARLIE:

    A periodic function is, by literal definition, a function that repeats its values in regular intervals or periods. Trigonometric functions of mathematics are the most common examples in this case. In these functions the function repeats itself after intervals of 2pi.

    The ‘real world’ uses these periodic functions to measure certain repeating functions. One example would be waves and the height and time it takes them to hit a certain place or area. Another example is heart beat.
    Doctors and scientist use this to measure and possibly predict what will happen next by plugging in numbers and measurements of previous happenings into the sine and cosine functions.
    Periodic functions are basically used to measure anything that happens in a repetition and are designed to find what the future predicted measurements will be and when they will repeat themselves. They can also find the measurements when the graphs or other measurements are altered.


    http://en.wikipedia.org/wiki/Periodic_function

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  2. A periodic function is an event that occurs repeatedly in a very regular manner. Suppose that you stand on the beach near a lighthouse. As you watch, the lighthouse's beam will sweep across the landscape in a very regular pattern. You might see the beam pointing directly at you every second, or every two seconds, or at some other regular interval. The regularity of a lighthouse beam is one of the ways in which ships at sea recognize the lighthouse and know where they are.

    you can also use a periodic function for things like waves and other things that repeat themselves over and over.

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  4. HEY TAYLOR HERE AND READY TO ANSWER PROMPT THREE.... I think..

    Periodic functions are repeating functions ‘that repeats over and over again, or cycle on a specific period’ (http://library.thinkquest.org/2647/algebra/ftperiod.htm).

    There are a lot of real world activities that have periodic behavior.

    One of these activities is when an insects goes though out its daily activities, which are eating, sleeping,…..eating, and bugging humans. The reason this is periodic behavior is because that the insects repeats these activities over, and over and over again each and every day of its life.

    Another example of periodic behavior is when you repeat the same thing each and every day at the exact same time. Like getting up for school, going to bed, going to school, and going home from school appears periodically.

    The next example of periodic behavior is the moons cycles. The moon always goes through the same cycle of phases that always begins and ends in a months time. So this is periodic behavior as well.

    That is all for now till next time!!

    (I still have no clue how to cite so here are the web page address that gave me this information that I DO NOT OWN!!!)
    http://library.thinkquest.org/2647/algebra/ftperiod.htm

    http://www.cals.ncsu.edu/course/ent425/library/tutorials/behavior/periodic_behavior.html

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  5. This is Nathan with his epic comment:

    A periodic function is a function that repeats its values in regular intervals or periods. Trigonometric functions repeat over intervals of length 2π, and they are the most important examples of periodic functions. Periodic functions are also used to describe oscillations, waves, and other things that show periodicity. Aperiodic, is the name given to a function that does not show periodicity.
    Common examples are seen when the variable is time; for instance the hands of a clock or the phases of the moon. You are also a form of a periodic function. You get up, brush your teeth, go to school, go home, sleep, and then start the process all over again. Periodic motion is the motion in which the position of the system are expressible as periodic functions, all with the same period. So as you can see, periodic functions are all around us, and we never even realized it. Math is all around us, so I guess we better get used to it.

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  6. Periodic functions are functions that repeat over and over, or cycle on a specific period.
    they have many periodic functions in the real world that we don't realize that happen everyday.

    for example:
    the moon has many cycles that it repeats over and over again every year. the way it changes shapes during each month and where it is positioned at each month. it all repeats itself over and over again. (71)

    another example:

    a lighthouse is another example of a periodic function. the light turns in same direction and keeps repeating itself.

    another example:

    going to school on monday through friday. some people may go every day and they are going in a cycle. they keep repeating themselves by going to school monday through friday without missing a day.

    the bottom line is. math is every where we go and we just never realize it. it is really weird, but it is true and im sure most people wish that wasn't true. i learned a lot about periodic functions and i never would have thought that some of this stuff would be something this important.

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  7. Periodic functions are functions that repeat over and over, or cycle on a specific period. There are many many examples of periodic functions in real life. You may not even realize that some things are periodic functions. The sunset and sunrise are periodic functions because they happen twice everyday no matter what. The seasons in a year are examples also because they always repeat every year. When we wake up and go to school monday through friday is also an example. Stop lights can also be an example because they are constantly going. There are many more examples of this and it is a really simple concept.

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  8. In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are the trigonometric functions, which repeat over intervals of length 2π. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. Any function which is not periodic is called aperiodic.

    For example, the sine function is periodic with period 2π, since

    \sin(x + 2\pi) = \sin(x)

    for all values of x. This function repeats on intervals of length 2π.Everyday examples are seen when the variable is time; for instance the hands of a clock or the phases of the moon show periodic behaviour. Periodic motion is motion in which the position(s) of the system are expressible as periodic functions, all with the same period.

    For a function on the real numbers or on the integers, that means that the entire graph can be formed from copies of one particular portion, repeated at regular intervals.

    Citation

    "Periodic Function." Wikipedia, the Free Encyclopedia. Web. 15 Sept. 2010. .

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  9. A periodic function is a function that repeats its values in regular periods. The most important examples are the trigonometric functions, which repeat over intervals of length 2π. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. An example in the real world when periodic functions are seen when the hands of a clock or the phases of the moon show periodic behaviour. Also, when the sun goes us and down everyday, that is another example. One other example is when you put your blinker on in your car. The blinks keep repeating and repeating making a periodic function

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  10. A periodic function is a function that repeats its values in regular intervals or periods. Periodic functions can also be used in science to describe oscillations, waves, and other things that repeat over and over again. Some people may not realize it that in every single person's life they are going through periodic behavior. Examples: Every day the sun setting and rising, every year the seasons rotate, your class schedule repeats everyday until the next school year,a clock, and how every year the months rotate. There are a lot of periodic functions in the world you do or see everyday.

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  11. Periodic functions are functions that repeat over and over, or cycle on a specific period. There are many many examples of periodic functions in real life. You may not even realize that some things are periodic functions. The hands on the clock are some examples because it happens twice a dayt. The putting gas in your car is aslo a example because you have to do it mostly evrydayr. When we wake up and go to school monday through friday is also an example. Stop lights can also be an example because they are constantly going. There are many more examples of this and it is a really simple thiing to understand

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  12. Feroz presents: Prompt #3

    A periodic function is a function that repeats its values in regular intervals or periods.

    You can sort of think of this as a routine pattern-ish thing. Say you have a job. You work six days a week and are off on Sunday. This would be a periodic function as you are repeating this routine every week.

    Pretty much any routine or pattern that repeats itself is a periodic function.

    Hah! I didn't even have to use a website for this one. XP

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  13. In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are the trigonometric functions, which repeat over intervals of length 2π. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. Any function which is not periodic is called aperiodic.

    In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are the trigonometric functions, which repeat over intervals of length 2π. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. Any function which is not periodic is called aperiodic.


    http://en.wikipedia.org/wiki/Periodic_function

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  14. Periodic func. is a func. that repeats in intervals. Trig. func. repeat by 2π. They are used for oscillation; mainly math and science.
    Aperiodic is non repeating or non periodic.

    Dylan...this is probably late though haha.

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