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Saturday, July 29, 2017
Tuesday, July 4, 2017
Sunday, July 2, 2017
Saturday, July 1, 2017
Sunday, June 25, 2017
Wednesday, June 21, 2017
math: solutions
this is one kind of problem that always warps my brain. i'm trying to wrap my head around this:
how many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
liters of solution % alcohol
70% solution x
---------------------------------------------------------------------- step one, solving for liters of solution
total liters of alcohol
70% solution x .7 .7x
40% solution 50 .4 (.4)(50) = 20
50% solution mixture 50+x (adding) .5 (.5)(50 + x)
.7x+20 = .5(50+x)
Solve for x
x= 25 liters
-----------------------------------------
how many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt?
x = ounces of pure water
ounces of solution saline percentage total
x 0x 0
50 .15 .15(50)
x+50 .10 .10(x + 50)
0 + .15(50) =.10x + 5 7.5 = .10x + 5 x = 250
how many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
liters of solution % alcohol
70% solution x
---------------------------------------------------------------------- step one, solving for liters of solution
total liters of alcohol
70% solution x .7 .7x
40% solution 50 .4 (.4)(50) = 20
50% solution mixture 50+x (adding) .5 (.5)(50 + x)
.7x+20 = .5(50+x)
Solve for x
x= 25 liters
-----------------------------------------
how many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt?
x = ounces of pure water
ounces of solution saline percentage total
x 0x 0
50 .15 .15(50)
x+50 .10 .10(x + 50)
0 + .15(50) =.10x + 5 7.5 = .10x + 5 x = 250
Tuesday, June 20, 2017
the odyssey, richard lattimore
i am beginning my "odyssey" review. and i think i should probably do this before i continue reading "ulysses," or i might do them simultaneously.
ch 1:
hecatomb: in ancient greek ceremony, the sacrifice of a hundred cattle to the gods
poseidon, who is the only god angry with odysseus at the very beginning of the myth, is at a ceremony receiving a hecatomb from the aithiopians while all the other gods are at zeus' hall.
a map at this link shows the ancient greek concept of aithiopia, the southernmost 'inhabitable' region of the world: https://en.wikipedia.org/wiki/Aethiopia
poseidon, who is the only god angry with odysseus at the very beginning of the myth, is at a ceremony receiving a hecatomb from the aithiopians while all the other gods are at zeus' hall.
a map at this link shows the ancient greek concept of aithiopia, the southernmost 'inhabitable' region of the world: https://en.wikipedia.org/wiki/Aethiopia
Monday, June 12, 2017
new weight/beginner ballet
i'm at 107.6, now lighter than i was at 28 when producers told me to lose 10 pounds and i didn't think it was possible.
Tuesday, June 6, 2017
glamour
there is something about the combination of eloquence and material sophistication that is truly glamorous, which is also what i like about this interview
Wednesday, May 31, 2017
last last thought on permutations vs. combinations
ok. i figured out a way to prove my point.
if you took 100 ice creams and you said, how many different ways could these be arranged on a shelf? in other words, how many 'realities' could there be in terms of each of these ice creams having a particular place?
that would be 100 factorial, or 100 x 99 x 98 x 97 and down the line, which is obviously a lot.
if you took 100 ice creams and you said: a gold, silver and bronze medal will be given to three of these ice creams, how many possibilities would there be?
that would be 100 x 99 x 98 (three numbers for three places), which is obviously considerably less than the previous.
if you took 100 ice creams and you said, choose 100 ice creams out of these 100 ice creams. how many possibilities would there be? in other words, if their placement didn't matter at all, how many possibilities would there be? though the answer should be obvious, let's look at it mathematically:
that would be 100 x 99 x 98 x 97 and all the way down the line, divided by exactly the same: 100 x 99 x 98 x 97 and all the way down the line.
that only equals one possibility.
therefore, permutations vs. combinations proves that the whole point of hierarchy and contests may be to increase the number of imagined or possible 'realities' that can exist for all of us. without that, there would only be one reality: that in which we all simply 'are' and cannot escape from that existence.
but to emphasize the significance of place for every single one, vs. just three places, for example, increases the number of imagined or possible realities for all of us exponentially. and so this is a good mathematical example of the kind of scale - or values - that 'true imagination' requires.
some of this is obvious as spiritual concept, but i'm trying to memorize these math formulas
if you took 100 ice creams and you said, how many different ways could these be arranged on a shelf? in other words, how many 'realities' could there be in terms of each of these ice creams having a particular place?
that would be 100 factorial, or 100 x 99 x 98 x 97 and down the line, which is obviously a lot.
if you took 100 ice creams and you said: a gold, silver and bronze medal will be given to three of these ice creams, how many possibilities would there be?
that would be 100 x 99 x 98 (three numbers for three places), which is obviously considerably less than the previous.
if you took 100 ice creams and you said, choose 100 ice creams out of these 100 ice creams. how many possibilities would there be? in other words, if their placement didn't matter at all, how many possibilities would there be? though the answer should be obvious, let's look at it mathematically:
that would be 100 x 99 x 98 x 97 and all the way down the line, divided by exactly the same: 100 x 99 x 98 x 97 and all the way down the line.
that only equals one possibility.
therefore, permutations vs. combinations proves that the whole point of hierarchy and contests may be to increase the number of imagined or possible 'realities' that can exist for all of us. without that, there would only be one reality: that in which we all simply 'are' and cannot escape from that existence.
but to emphasize the significance of place for every single one, vs. just three places, for example, increases the number of imagined or possible realities for all of us exponentially. and so this is a good mathematical example of the kind of scale - or values - that 'true imagination' requires.
some of this is obvious as spiritual concept, but i'm trying to memorize these math formulas
last thought on permutations
- i'm still trying to figure out permutations, so deleting. back to math, bye
- my point is really that ordering is an illusion in many ways, but looking at permutations allows me to see it as the game others understand
on second thought
- actually, wait. i just had a thought. one could confirm that non-ordering resulted in more possible realities if one thought of it -->
- in terms of '100 people with 100 places.' then the combination would be calculated like a permutation. do you know what i mean?
- it's only if one says '100 people w/ no specific places' compared to '100 people w/ three places' that the second offers more possibilities
permutations vs. combinations, edited from twitter for readability
- hierarchy or contests are simply a method of creating more imagined possible realities.
intuitively, i'm the type who thinks 'combinations' w/no ordering from best to last, or specific placement, would result in 'more' possible realities. but not so
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