What is time invariance?

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What is time invariance?

In: Mathematics

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Anonymous 0 Comments

A task is ‘time invariant’ if when you do it doesn’t affect how long it takes you to do it.

Suppose you live next to a tract of woods with a path that leads to your work. Alternatively, you can drive to work on the city streets.

If you walk to work, it’s always going to take you roughly the same amount of time. You simply walk through the empty woods along the path. That’s a time invariant task.

If you drive to work, the time of day is going to vary the length of your trip because traffic may or may not interfere. If it’s during rush hour, it’ll take you a lot longer than it would in the dead of night. In this case, you have a time dependent task.

Mathematically, time invariant systems do not use time as a factor in their calculations while non-invariant systems do.

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