Calculating Moments
- Nok Tayag
- Oct 24, 2020
- 3 min read
How does differentiation affect moments?
Let X be the moments we have spent
Let r be the difference within us
Example 4.5.1
When r = 0,
Zeroth Moment (The Whole Probability)
There was this moment
Where we didn’t have any differences.
At least, not that I know of.
We were so enamored by the first touches of love,
The moments where you wake up next to me,
The way I touch your cheeks, stroke your hair,
Without worrying how much we’d break
If we both collided.
You and me,
Combining the probabilities of our moments,
Are both one.
We were equal to one.
Example 4.5.2
When r = 1,
First Moment (Mean)
We had our first difference.
It wasn’t big, it was alright.
The first differentiation doesn’t always hurt, right?
Simple changes of power,
Some moments go down, some moments disappear,
But that’s how differentiation works, right?
Once our moments experienced differences,
We tried to calculate the average moments we’ve spent.
Is it still positive? Are we still happy?
Is it still negative? Do we expect the value of our moments to be down?
We didn’t know the answer at that time
We just knew that
No matter how “mean” the mean would be,
We’ll pull through.
It’s just the first difference anyway.
Example 4.5.3
When r = 2,
Second Moment (Computing Variance)
I don’t know if you’ve noticed,
But our differences grew.
We started fighting everyday
And now that our differences grew bigger,
Waking up seems heavier.
Your warm cheeks seem colder.
And now, more than ever,
The bed that used to be a testament
Of our love, togetherness, and warmth,
Became a divide and a space between us.
When we compared all our growing moments
To the average moments we had together,
All it created was a variance, a divide.
I wish we never calculated.
But I know, I know -- it’s just a small variance.
We can still turn this around.
Example 4.5.4
When r = 3,
Third Moment (Skewness)
Our differences escalated
And we had to assess.
Are we going to the left?
To the place where the possibility of us together is low?
Do we still have the chance to go to the right?
To what had been, to what should have been?
As always, we didn’t know the answer
To decide whether we should go left or right.
The solution was simple, I thought.
We should stay in the middle.
You said it was crazy.
But I said it was the only way to make sure
That our differences won’t escalate any further.
Staying in the middle is our only choice right now.
You, though reluctant,
Agreed to keep things in the middle.
To keep the curve normal.
It’s alright, it’s a good move for us. I promise you.
The differences would end.
Example 4.5.5
When r = 4,
Fourth Moment (Kurtosis)
It was supposed to be normal.
Normal should be good.
But why does it seem like our normalcy is reaching its peak?
The differences grew bigger.
We tried and tried to act normal.
But somehow we realized
That waking up is still heavy,
But your touch is now hot.
I don’t get it.
Are we really normal?
But at these moments, I had a revelation,
That we were bound to fail.
The touch we were used to was hot
Too hot to handle.
Waking up next to you is still my dream,
But I need to get up from it.
Normalcy had reached its peak
And we both knew we’re gonna explode.
Example 4.5.6
When r = 5,
Higher Moments Everything is complicated,
Everything is mixed up.
Everything is broken,
Everything must go.
There was something between us,
And there was something going on.
But something came around,
And something went away.
Now we’re left with nothing.
Nothing.
Our moments?
Are they nothing?
Or are they anything?
No moment should be nothing.
But we know that
As long as our moments Keep differentiating,
The constant,
The you and me,
Would be gone
And be turned into nothing.
And that’s how differentiation affects moments.
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