we say steve will be captivated if eddie ever actually takes care of his curls but what if during the process of Trying To Flirt eddie's like. well. steve's a Hair Guy right. i'll do Hair. and so he gets an actual hair care expert or like a magazine and does his hair as instructed and his curls are no longer a frizzy mess but instead neat, pretty little ringlets
and like. Project Flirt With Steve has been mostly successful so far even if they aren't dating yet, just kind of enjoying the back-and-forth, so he's expecting that when he walks into family video with his new hairdo steve might like. drop tapes or start drooling or something
but instead steve like. barely glances at him. goes back to what he was doing. doesn't even say hi like he usually would. and eddie's like ??? this isn't going as planned. and he goes up to the counter and robin goes oh eddie! new look? and that makes steve take a second glance. and he certainly does drop the tapes he was holding. but only because he's busy half-yelling 'WHAT DID YOU DO' with like a horrified look on his face
recovers enough to like. poke eddie's hair. like who are you and what did you do with my hot grungy metalhead you look like a poodle had sex with a haunted victorian doll. and it ends up with eddie just. laying face down on the floor while steve attacks his head with a brush and a hairdryer bc apparently he's not MEANT to have silky glossy curls.
just the biggest backfire in the history of flirtationships that may have pushed their get-together date back by several weeks
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who's hand is in this picture?
A Mathematically Rigorous Proof That I Spent Too Long Writing
welcome to university math: dnp hand edition
(no, don't leave, you'll be fine i promise)
to begin, we need a statement to prove. we have two options:
- the hand is dan's hand
- the hand is phil's hand
now, for most proofs in university math, you are told a true statement, and you must show why it is true using logic rules, definitions, and theorems. but, we do not know which of these statements are true, so we have to find out.
to prove that a statement is true, we must show that it is always true for the situation presented. to show a statement is false, we must present a single instance where the statement is false (also known as a counter example).
a quick not scary math example:
definition: a prime number is only divisible by 1 and itself.
statement: all prime numbers are odd
(this is false, because 2 is a prime number and it is even. you don't even need to check if there's any others, all you need is one single case where it isn't true to disprove it)
so now that we have a little background on proofs and how to prove and disprove them, we go back to our two statements.
the thing with this situation is, one of them must be true (unless you're gung-ho on someone else holding dan's face while phil takes a picture on his phone of dan in his glasses, in which case, i applaud your commitment, but in actuality this proof will cover that option too)
the full statement we have is: dan is touching his face or phil is touching dan's face
now, because this is Real Life and we have a picture where a hand is touching dan's face, we know already that one of these options is true (as mentioned above) but! using symbolic logic you could also come to this conclusion.
this type of statement is an 'or' statement, and if you're curious, you can look into 'truth-tables' and see why, but at least one of the options must be true.
back to the proof at hand (bah-duhm-tss)
okay. now, proofs also must be 'general' in order to mean anything, really. these are statements of truth of the universe, not just for individuals. so, we will prove this generally.
we have 2 people involved, so individual 1 (dan, the owner of the face and potential face toucher) will be labelled as 'D' , and individual 2 (phil, the possible face toucher who does not own the face) will be labelled as 'P'. thus, this can be true for any such D and any such P.
so with our 'or' statement, in order to prove it, we pick one of the options and say that it is not true, and we have to show then that the other is true.
step 1: let's assume this is not P's hand. (assumption)
step 2: thus, it must be D's hand. (what we take from our assumption)
step 3: now, if it is D's hand, we look at what a hand on one's own face is capable of appearing like. (a definition or true fact about step 2)
the position in the given photo shows the hand with a thumb on the cheek, and a finger on the forehead. so, we find an example of a person with their fingers in the same position (or close to) and see if this supports our claim.
consider:
now, with this image, you can clearly see how the subject's right hand has the thumb on the temple and index finger on the top of their head, however, it is a close enough position for our case.
from the view of the camera, the closest finger to the camera is the edge of the pinkie. in fact, it will always be the closest finger to the camera in this position, assuming the subject has all fingers and no additional appendages.
step 4: we now compare this to our photo (we verify if this holds to our claim or contradicts it)
in our photo, the closest appendage to the camera is the edge of the thumb.
step 5: thus, it cannot be the case that D is touching their own face. (what the evidence says)
step 6: as we assumed it was not P's hand and have shown it cannot be D's hand, and as this is an 'or' statement both of these claims cannot be false, we can therefore conclude it must be P's hand. (our conclusion: re-stating the statement and assumptions and conclusion)
step 7: we verify that P is true (optional step but in beginner proofs you generally show why your case works)
to do this, i will show a picture of a person touching another's face, and compare it to our image.
consider:
now, this image is not exactly the same, similar to above. however, P's left thumb is on the cheek, with their index on D's temple. the closest appendage to the camera (if it were in a similar perspective as our original) would be the edge of the thumb.
comparing it to our original:
our comparison holds.
thus, we can conclude that the true claim in this statement is that P must be touching D's face, which, in particular means that:
phil is touching dan's face in the image
thank you for partaking in phannie mathematics. we now know. i am not sorry.
bonus:
phil has a hitchhikers thumb and dan doesn't so why was this necessary at all 🤡
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