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Mathematics 14 Online
OpenStudy (btaylor):

What is a birthday, mathematically speaking?

OpenStudy (btaylor):

So far I have that the integer less than or equal to your age: \[\lfloor age \rfloor\] is different. This is because age is continually increasing. Is there anything else it could be?

OpenStudy (skullpatrol):

What do you mean by mathematically speaking?

OpenStudy (btaylor):

I"m making a poster for my math teacher about what it means mathematically to have a birthday. In addition to the floor function of age, I also have that he is an integer age for an infinitesimally small period of time.

OpenStudy (skullpatrol):

What exactly are you trying to describe?

OpenStudy (btaylor):

Anything mathematic that describes a birthday.

OpenStudy (skullpatrol):

It is a point in time.

OpenStudy (btaylor):

true

OpenStudy (skullpatrol):

Every year you celebrate the one year anniversary of that point.

OpenStudy (btaylor):

But a year could be different. Leap years and such.

OpenStudy (skullpatrol):

You could try to factor into your calculations the occurance of the leap year

OpenStudy (btaylor):

I found this... http://en.wikipedia.org/wiki/Birthday_problem#Same_birthday_as_you

OpenStudy (btaylor):

@Mertsj can you offer any of your typical insights?

OpenStudy (mertsj):

A birthday is one of the 365 days of the year. Perhaps you want to look at it in terms of probability.

OpenStudy (btaylor):

technically 1/365.24, but yes. Thanks!

OpenStudy (btaylor):

I realized that, because a year is technically 365.24 days, his birthday could in theory be the next day depending on leap years.

OpenStudy (anonymous):

1/365.25 days

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