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NATG III Day 5: “Draw a pony on the rise”.
Let Twilight be a continuous function of time, and let T be her lifetime. If for at any time t in her lifetime, the derivative of the Twilight function is greater than zero, it results that said function is strictly increasing.
In other words, due to her nature, Twilight is forever greater than she was at any previous moment in her lifetime.
Math b cheesy.
Flash CS5 and PowerPoint 2010.
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NATG III Day 5: “Draw a pony on the rise”.
Let Twilight be a continuous function of time, and let T be her lifetime. If for at any time t in her lifetime, the derivative of the Twilight function is greater than zero, it results that said function is strictly increasing.
In other words, due to her nature, Twilight is forever greater than she was at any previous moment in her lifetime.
Math b cheesy.
Flash CS5 and PowerPoint 2010.
Source
Yep, works out fine!
Dangit! I wasn’t finished typing!
If you take T as the interval of the universe’s timeline, ranging from her birth to her death, that is true, since her function would have to have two separate results for a certain interval [_t*0, _t*
1] ⊂ T shown in It’s About Time. However, if you take T to mean her own personal timeline with all the t ∈ T ordered by the sequence in which she lived through them, it works out fine.If you take T as the interval of the universe’s timeline, ranging from her birth to her death, that is true, since her function would have to have two separate results for a certain interval [t