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#calculation
lorenzonuti · 6 months
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Hack.
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philosophybits · 2 months
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If desire should absolutely align with reason at some point then we will reason and not want, essentially because it will be impossible, really, for example, in preserving reason, to want the nonsensical and therefore knowingly to go against reason and to want to do ourselves harm. And since all desire and reason can be calculated, because at some point they will discover laws for our so-called free will, then, therefore, and this isn’t a joke, it will be possible to make up some kind of table, so that we will actually want according to this table.
Fyodor Dostoyevsky, Notes from Underground
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Alright, Siren. First post on Tumblr (Have I been here forever? Yes. Is this a new blog? Also yes. Does this mean that I will be dramatic about it? Very much yes
My friend and I were discussing the other day about Batkids and their ages!
So! Ages and reasons, let's go!
Let's start with some canon ages and events (Also, canon is a puzzle and who knows if any of this still applies anywhere but!)
Dick was 8 when the Graysons fell.
Bruce was 19 when he started his journey to become Batman (18 + 1 year of med school) Bruce also trained for 3 years overseas and there was no Robin for Batman year one. So Bruce is minimum 23 when the Graysons fall.
Now. When Jason dies, he's 15. Tim is 14 when he takes the mantle about 6 months later. And Dick is in his rebellious phase at 19.
Barbara is shot just shortly before Jason's death at the age of 19. Meaning Babs is 19. Jason is 15
When Tim becomes Red Robin, he's 17. Damian is 10.
Cass becomes Batgirl at 17 during the middle of Tim's Robin Run at +- 16.
Steph becomes Spoiler and starts to date Tim at 15, meaning they're about the same age.
Now Duke is a bit more difficult because canon shifts. But! He's Signal when Tim is wearing the terrible showgirl costume! So, it's after Red Robin. Tim's gone for a year so Tim is a minimum of 18 and Duke is 17 when he becomes Signal
This gives us age comparisons for all of these charactefs
Age stats as follows
Damian: 0
Duke: 6
Tim: 7
Steph: 7
Cass: 8
Jason: 8
Dick: 12
Babs: 12
Bruce: 27
So! In essence! Duke is 6 years older than Damian. Tim and Steph are 1 year older than Duke. Jason and Cass are one year older than them. Dick and Babs are 4 years older than them. And then, Bruce is 14 years older than Dick.
This means that now that Tim is 18 and out of the house, Bruce is 20 years older than Tim. So 38.
Why did I decide to do this again? I could have made the first post anything but this is what I chose. Lovely.
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bugmeyer · 1 year
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Butator, Angel of Calculation
2022
Made for the new oracle deck that I dragged my feet on so badly that now I have to put off the KS announcement until 2023.
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frog-0n-a-l0g · 18 days
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Whoever made math I’m knocking ur teeth out, shoving them down your throat so they cut you on the way out, taking them and grinding them to a powder before I blow that shit in your eyeballs
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random-xpressions · 2 months
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Your conviction about something - that's the first half of accomplishing change. The other half is in its entirety kept in strategizing. If you lack conviction, then a good plan won't have any effect. And if you lack a meticulous plan, conviction alone will bring you no good. Heart's conviction and mind's calculation - that's how you lead yourself to task accomplishment.
Random Xpressions
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lavender-tea-fling · 7 months
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Alright tumblr how can I save my AP calc grade. I struggle with executive function, my teacher sucks, and once every few days I miss half o class.
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g-toasty · 3 days
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Littlest Pet Shop characters can destroy your city (read below)
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Littlest Pet Shop 2012, being a cartoon, ignores logic constantly. But what happens when these inconsistencies imply the pets and chatacters can destroy your house by breathing.
So in this scene, the Biskits are yelling at their butler to move a mirror up so that the light from the sun hits them. The light then reflects off of several mirrors to hit the Biskits who are sunbathing. The light is shown to not be an instant frame-one beam of light.
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So the butler was able to move his arm at this distance.
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Cropped out the guy's shoe because added height and also his feet were at an angle, and cropped off his hair because height doesn't count hair. Height of men in the US whoa really 60 or older is 173.4 centimeters. That will be this guy's height since he looks old. Height of image is 849 pixels. 173.4/849 = 0.204240282686 centimeters per pixel. This technique is called pixel scaling, and it's what Matpat on Game Theory used when he calculated stuff in shows and games.
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He moved his arm this much. Image height is 192 pixels. 192 x 0.204240282686 = 39.2141342757 centimeters.
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The light moved this distance when it traveled in a straight line. I chose this since the light actually changes in angle from coming from the sun and hitting the mirror. Image width is 870 pixels. 870 x 0.204240282686 = 177.689045937 centimeters. Speed of light is 299792458 m/s. Solve for time and the time frame is 5.92707E-9 (or 0.00000000592707) seconds.
Watching frame by frame, we see it takes exactly 2 frames for the light to reach that straight line distance as shown above. Given 2 frames is 2.5x less frames than 5 frames, that means the time it took for the butler to move his arm is 2.5x slower than 5.92707E-9, or 0.00000000592707 seconds. 5.92707E-9/2.5 = 2.370828e-9 (0.000000002370828) seconds.
We know the distance the butler's arm moved is 39.2141342757 centimeters, so use that and a time frame of 0.000000002370828 seconds and solve for speed. You get 369,995,000 miles per hour. WOAH that's really fast arm-moving, and he did this casually!!
But that's not all. We can guess that a simple casual movement Is slower than characters running and riding fast carts!
Like… the scene where Zoe and Penny in a wagon run over Vinnie and Minka. A small wagon weighs 20.94 lb. Zoe should weigh 13 pounds since she's a Cavalier King Charles Spaniel. Penny is a female adult panda, so she should weigh 150 pounds. We know they should be adults, given that we have seen flashbacks to when the pets were actually kids. We also have this implied when Sunil tries to show his parents that he has a job as a doctor, and the parents believing him.
Total weight: 183.94 lbs.
We have the relativistic speed there, so plugging those numbers into the kinetic energy formula, and we get 1.141291036168E+18 joules, or 272.77510424665393884 megatons of TNT. For reference, the strongest nuclear bomb ever, the Tsar Bomba, had a yield of 50 megatons. This means Vinnie and Minka survived an impact 5.44x stronger than the strongest nuke.
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Minka would casually survive this explosion without a sweat or care in the world.
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fieriframes · 8 months
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[Fear was stronger than the calculation of probabilities.]
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newtinaboot · 9 months
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So, if I have run the numbers correctly-hold on let me see…
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…SIXTY PERCENT of all Miguel O’Hara Pinterest fanart includes emphasis on one or a few of his best assets. Intriguing.
In conclusion: Miguel=hot; fans=horny.
>Ethan
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fatecanberewritten · 1 year
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Before you grasp a thorny stick, you put on gloves.
Victor Hugo, Les Misérables (transl. C. Donougher)
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tradingwithtenacity · 9 months
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Comparing Investment Options A and B
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philosophybits · 2 years
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What kind of personal free will can remain when the matter is driven to tabulation and arithmetics, when only two-times-two-is-four is the trend? Two times two will be four, regardless of my will. Such is free will for you!
Fyodor Dostoyevsky, Notes from Underground
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crunchyfield · 9 months
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How does Mario Kart 8 Deluxe speed translate into real-life units ?
This something we all have been wondering at some point as a civilized Mario Kart player.
This is also a thing that was pretty much not covered at all within the vast universe of Internet.
So we're going to work it out for the sake of players' curiosity.
Right off the bat, I already see some people coming with the : "No need for experiments, the whole topic is solved 'cause on Mario Kart 8 Deluxe CTGP shows you how fast you drive with a speedometer".
1) There is no way to evaluate, assume anything since the speedometer doesn't display any actual units but numbers/values.
2) Mario Kart 8 Deluxe CTGP is a modified version of the game so go ask its developers for the speedometer's reliability in the first place.
Our main goal here is to authentically/legally (with no other tools than the game provides except for time) find out the real-life scaled coinless speed values (with their respective units) for 50cc, 100cc, 150cc and 200cc.
Let's dive right into the researches :)
First & foremost, we have to understand what speed is.Basically it is a variation of distance for a given amount of time, in other words it is an amount of distance per amount of time.
In this post, we'll only be focusing on the maximum speed of each engine class as it's the most relevant information we wanna know (thus ignoring Instantaneous speed as well as acceleration) :p
Consequently, we will use the following speed formula for constant speed :
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(P.S: I wrote unidirectional due to the fact I was in fact implying we are going to test speed/velocity with no direction change during experiments)
Then we want to find a good course to study and to test things out.
Ultimately, we have to choose a track with a simple continuous layout (with no track type variations nor holes/empty areas ==> discontinuous) that could be broken down into different parts to test on.In our case ExciteBike arena fits perfectly experiment wise (especially for its simple layout featuring simple geometric shapes).
Here is ExciteBike arena's map broken down into lines following symmetries (axial symmetry or central symmetry), the map being made from an in-game deep track exploration (note that the track is not well represented nor to-scale, it is only to be seen as a visual help) :
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Let's try to frame an estimate of the track's total distance in distance units (probably a unit symbolizing distance which is used in Mario Kart 8 Deluxe wiki) with the following item probability distributions' charts :
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Multiplayer offline (2 players : to disable the position factor as much as possible)/Versus mode/no CPUs, AIs.
2nd player have to be placed on the test line and pick one item at a time and use it before hitting back to the item box (to disable conditional probabilities) to make each case identical and independent as well.Use the frantic items’ probabilities chart (features high probabilities of appearances with the most efficient & cheap amount of tries simplifying experiments) to follow the appearances (items’ appearances are easier to follow than their disappearances) of a given item for a given distance value in distance units, items' appearences to identify (read as colomns and rows intersections for a specific colour, itself for a specific amount of distance) :
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Once an item appeared after a certain amount of tries, check its related distance and try to drive back and forth from an apparent track line/current location to another apparent track line till the range tends to no difference (we can identify framed distances more easily using different item modes in favour of it).
Using given items' probabilities (see the charts above) to identify an estimate of a given distance in a given item mode.With the use of the Binomial law, we can consider stochastic variables (like X) associated with items to identify appearances in which trials' success corresponds to those items' presences.
To calculate the number of tries for getting at least one appearance of an item amongst the ones we have got to identify for a given framed distance, we have to solve for the number of trials after mathematically modeling our situation with probabilities :
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In our case, finding out the best item setting for each given distances (ranging from 1000 to 5500) with a wanted likelihood of appearance equivalent to 95% :
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where :
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Sum up all the track's section estimated distances to get the total distance.
Unfortunately, this approach only gives off framed estimates of distances and takes up way too much time & effort for something as uncertain as it is :/ . We'd have to be doing the track measurements in Mario Kart 8 Wii U version to avoid introducing conditional probabilities on top of assuming MK8 tracks are the same lengths as MK8DX tracks (plus, as the items' probabilities (charts) take into account Mario Kart 8 Wii U datas instead of Mario Kart 8 Deluxe's).
I know I did not elaborate much on this part and got a little quick but believe me it's absolutely not necessary to.
(Btw, see Mario Kart 8 items' probability distributions wiki to understand the probility system)
Let's now try out another way to determine ExciteBike arena's track length.
Firstly, we have to measure ExciteBike arena course's length.
Secondly, if we take a close look at Mario Kart 8 Deluxe player's statistics menu, we clearly see there is a traveled distance counter which displays this total traveled distance in kilometers (Km).
That means we can measure ExciteBike arena course's length but we have to do many races to get some decimal places out, doing the course over 100 times (driving in the middle of the road to get a fair estimate) should be enough for the experiments (a decameter accuracy is not a big deal simply because doing 1000 times a course to get a meter accuracy is useless since a few meters are negligible, e.g when you measure how tall you are you clearly not take millimeters into account as they almost make no signaficant differences to your height.. same goes for race tracks...)
Dividing the distance we obtain after 100 courses (took me about 3.5 hours straight btw) by 100 then by 3 (because there are 3 laps per course) indicates ExciteBike arena course's approximated length is 947 m (0.947 km).
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Some people might be wondering why I do not use max speed values (in 150cc) from the Mario Kart 8 Deluxe wiki to determine ExciteBike arena's length in distance units but to my mind using undefined units (sorry not sorry but the wiki did not explained what a "distance unit" necessarily symbolizes in the game distance nor how it's been measured, same story with the "frame") for both distance and time isn't the best way to go for since those said values were provided by some people's tests not by developers themselves.Unless explained, we are not going to use distance units nor frames but rather in-game units for both distance and time (we'll be using the game's stopwatch in time trial mode).
Secondly, notice that the track consists of semi-cercles merged to a rectangle on each side of it like this :
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We wanna apply pixel measurements to be able to quantify different proportions of the track :
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Knowing the length of the used bars and using perimeter formulas we get the track's total length in pixels :
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Then we have to take a specific portion of the track as long as possible with visually distinguishable eye marks from which we can get the experiments started (just as follows) :
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To measure its length, we can place 2 players at both eye marks to determine the distance in-between the 2 players' map icons' barycenters in pixels (to make the barycenter thing easier, we only use Tanooki Mario's map icon since the shape is quite similar to a circle) :
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And get that length in meters too :
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To set up the experiments, we have to take a combination with a level 10 of speed (3.25 speed stat bars), an average speed stat level combination :
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We'll place the vehicle a certain amount of distance back from the first eye mark and make it use a mushroom to get to top speed quickly when its effect fades away while driving straight (no tilt to be as accurate as possible).Besides, we'll count the elapsed time using time trial's time display for 150cc & 200cc and external time counters for 50cc & 100cc (pardon the low quality) :
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This way we can apply the average speed formula because the speed will remain constant during the tests, we can make a sequence of 20 values for each engine class (50cc, 100cc, 150cc & 200cc) and calculate top speed related to every single value :
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Eventually, we can average out the top speed values in real-life units for every engine class as follows :
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Suffice-it-to-say there are uncertainties but after correctly and identically performing experiments those shouldn't be a big problem, we could estimate those using variance and standard deviation :
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So here we are with an interesting outlook on Mario karts' (bikes', ATVs' & all) top speed values (coinless), 200cc is just outrightly wicked fast irl (you'd definitely get pulled over in the motorway lol) :$
At least this info should calm down Mario Kart 8 Deluxe haters always obliviously claiming it's slow asf x)
Sidenote: For sUsSy BaKaS, We were obviously talking about ground speed (tbh I don't see people driving underwater, in anti-gravity nor airborne lol) as we tried to reach for a realistic approach.
Overall, all values are approximations (fair ones) but I curiously really wanted to get my hands on this topic as no one did it so far in the vast world that is internet :)
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safecastle-sale · 1 year
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I hate that trope where the supposedly smart character starts  starts doing math on the fly and says shit like “divide by pi, calculate the hypotenuse and the log of the base and subtract twentythree by four” because that's what dumb people think smart people sound like.
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