[ot][ot][ot][personal] whirligig small thoughts

[Undescribed Horrific Abuse, One Victim & Survivor of Many]

>>>> a wedge made of a stack of triangles, each one with area of 1/2 r^2
>>>> dtheta
>>>> where r is the radius of a sphere slice
>>>> uhh so that's really sqrt(r^2 - x) where x runs from -r to +r
>>>>
>>>> two different r's here let's subscript them
>>>> a wedge made of a stack of triangles
>>>> each one with area of 1/2 r_slice^2 dtheta
>>>> now,
>>>> r_slice^2 + height^2 = r_sphere^2
>>>
>>> cognitive maintenance habit
>>> looks like the problem happened after this point
>>>
>>>> so if we run x=height from -r to r
>>>> r_slice = sqrt(r_sphere^2 - x^2)
>>>>
>>>> then maybe plug in to other expression
>> [somewhere near right here we failed to include important information;
>> forgot something
>> important]
>> [the x=height line should have retained information regarding the goal
>> of integration, for the dvolume line below. it did not.
>> i collect informaiton on the problem but it is hard to heal.]
>>>>
>>>> dvolume = 1/2 sqrt(r_sphere^2 - x^2)^2 dtheta
> [i wrote the sqrt part this. this was difficult. then i added dvolume
> to try to figure out what i was doing.
> taking notes seems very weird, but it did help me find this similarity
> here. the behavior of relaxing and focusing on a small part of a
> puzzle when experiencing stress, does not always retain the outer
> context for doing the small part ... [that's a skill i could build
>>>
>>> and before this point
>>>
>>> important to drill down and find the choice that needs [more
>>> neuron/decisions?] {we think a little maybe in terms of "hooks" and
>>> "triggers" --
>>>
>>>> dvolume = 1/2(r_sphere^2 - x^2) dtheta
>>>>
>>>> maybe unsure
>>>>
>>>
>>


oh … i had actually narrowed in on the event of writing dvolume
wrongly, which was indeed the mistake … !