Yet, I have not used it to this day. I still don't understand why I was taught it in high school. Since, I've graduated all I've had to use is simple math, addition and subtraction that's it. I did not need any theorem to push out my daughter.
@@stephanieparadine7953 Every 2d shape can be cut into right triangles. They are very important for doing geometry, which normal people might want to do.
As a math person, the idea of anyone at that level of math or science dismissing something because Euler worked on it is ridiculous. Euler revamped the world of math in many ways and his formulas are the foundation of a ton of different things in lots of areas. That'd be like them saying well lets discount Newton's laws of motion because that's ancient. It's not wrong and it was discovered by a genius. Loved the movie as a whole though! Just as a math person that line was a bit odd lol.
Still being surprised that someone brings up Euler in high level mathematics is like being surprised someone used an adjective in an English essay, even in new mathematics you use what's been built on and most of that Euler has had something to do with.
Yeah but that's like being surprised that an equation uses multiplication. It still makes no sense. Also what they say about "new math" makes no sense. It is more likely they were inventing new physics formulas. Not whole branches of math.
Yes that specific method isn't used every time. But he dismisses it as "that's ancient" if one thing Euler did is ancient so is pretty much everything else he did. And I can't think of a branch of mathematics where one of Euler's theorems or identities or Euler's something isn't an integral part of it. He's one of the most brilliant mathematicians to have ever lived and dismissing his stuff as ancient is pretty ridiculous, as I'm sure even before they were using Euler's ancient method they were probably using 12 of his other theorems and identities as it's unavoidable in high level math. I've been a math major for the past 4 years and I can't think of one math class I've had so far that hasn't featured a "what euler did in this area" day of class where the professor talks about how much euler did for this area usually with a history lesson on euler and some random euler trivia, and I transferred schools in the middle. My point is I'm pretty sure most of the math world loves Euler and dismissing his work is just not done lol.
People just don’t realize how truly epic Euhler was. The sheer quantity of works that are still being published today and into tomorrow beyond is unbelievable.
@@teddybearisms2505 Boy did you miss the point of the whole story. She was anything but ordinary regardless of her humility compelling her to say she was. She was a black woman in the American south in the 1960s who was instrumental in applying all the mathematical and astrophysics knowledge available at the time in order to figure out how to insert a human piloted space vehicle into orbit and have it return to Earth in a 20 square mile target as well as landing a manned spacecraft on the moon and returning to land on Earth in a defined target area. Anyone capable of doing this would not be ordinary let alone a black woman in that time and place.
@@teddybearisms2505 Every character in the movie is played up. Everyone is pretty average. By your logic they are there because of their race and gender too. Stop being so salty.
Yes they were very dismissive towards her loved that she kept a great attitude and didn't let it interfere with her work they didn't acknowledge her then but at least now she's being recognized 😉
I remember back when I was in AP calculus. In the last month (after we had taken the AP test) we had nothing to do so we goofed around and watched movies. We watched hidden figures and I’ll never forget how everyone had the same simultaneous groan when she said “eulers method” because of how absolutely done we were with it. Good times.
I am in the same boat as you lmao, just finished the Calc BC exam and we all groaned a little when we finally recognized a math concept that was in the movie.
@@simonepazsimon7219 It's pronounced "Oiler" Here's a video about the pronunciations of a lot of famous mathematicians (and Physicists) names th-cam.com/video/4Xp4F1h0YZM/w-d-xo.html
As a math major, I feel like I have to explain why I suspect nobody considered Euler's method at first. Euler's method is a form of numerical computing by approximating a complex formula by a combination of several simpler formulas. Basically, you draw several very tiny lines between the points and use that to approximately represent the function (it's actually more involved than that, but that would take longer to explain) The idea is that the smaller the distance between the points, the more exact your final answer will be. However, when you decrease the distance between the points, you increase the number of calculations you need to do. Nowadays, numerical methods like this are usually done with a computer, which will generate 1000 calculations before you finish getting your coffee, but back in the day this movie is set computers were brand new. All these calculations would have to be done by hand, and although that's what they hired "computers" for, the regular NASA scientists would have probably seen it a cumbersome, and may have forgotten about it years before.
@@dustinstich6202 Ha ha. Funny because it's very very likely true. They knew a tremendous amount of dynamics. Most of the problem was making a rocket to do what is easily calculated. 😀
I couldn't even do long division or long multiplication. I was pure useless at maths, when I look at Catherine I'm gobsmacked at what she could do. My kids are good at Math.
When I watched this I was amazed at the realization that all the math was done by hand, not one advanced computer was used. They successfully calculated and projected everything that brought humans from the earth to the moon and back. That’s pretty damn awesome. 😊
They had mechanical calculators over a century ago (+ slide rules). By WW2 they had electromechanical ones. They also had lots of tables in book form. NASA also had computers (fairly advanced ones for the time). It definitely wasn’t by hand. In fact, the calculations used to drive the plot in this movie were done on a computer by a young white guy. You really shouldn’t trust the historical accuracy of movies :)
When they started integrating computers in the NASA program, the scientists would double check the accuracy of the computers by checking with the women portrayed in this movie!!
My Dad taught himself Calculus so he could be a machinist. Since it wasn't a subject in his dinky high school, and he got drafted into the Army, he must have done it in his spare time in the Army. After that he got a job as a boring mill operator for Vought. He worked on probably every aviation and space program there was for 30 years. He was laid off for a couple years, so he worked at Lockheed in the Skunkworks. I remember once when I was a kid, we had a class project to report what our parents did. I asked Mom, "Directory assistance supervisor for Southwestern Bell. I asked Dad, "I make potato chips." Many years later he said he told me that because it was classified at the time. Probably the Regulus missile. And he LOVED messing with everybody in a myriad of creative ways. THE original funny bone.
We’re literally learning Euler’s Method this week in DiffEq. It’s a class most STEM majors take immediately following the calculus sequence. Euler is the freaking rock star of the math department (he’s got multiple fanboys, it’s great). Seeing the stuff I’m groaning over in my 8am presented so dramatically made me laugh hard enough I think I may have cracked a rib.
Man I hated DiffEq when I took it for my astrophysics major. You get used to it if you're willing to accept right off the bat that it works amd you probably aren't going to really intuitively understand how or why for a while. Lol. Extremely powerful branch of math.
one of my friend's last names is Euler; I asked her if she prefers "yoo"-ler or "oil"-ler. She says the only ones that call her "oil"-ler are those that know higher math.
What grade and what state is this in the USA? Is it a public school? Why the hell are they watching this hollywood crap when there’s so much ACTUAL stuff to learn
...and not enough math, either. This is a screen writer's idea about how to snow the non-engineers in the audience, and not have to bone up on the math himself to make it completely realistic. It's close enough to sound right, it rings bells in a an engineer's head, but its not quite real. The problems not in the shape of the orbit (that is, whether the orbit is open or closed) but rather in how to get a numeric solution from a problem without a closed -form math solution. You go back to numeric approximations (such as Euler's integration algorithm), which require a lot of number crunching. Guess what changed to make that a possibility.
I see a lot of comments here stating that Euhler's method is such a basic part of mathematics training that it should have been obvious to everyone in that room. Now, I never got beyond basic high school geometry (history was always my thing), so I don't know if that's true. But I DO know problem-solving, and if there's anything I've learned it's that people can be so laser-focused on certain methods and paradigms that they can overlook the most 'obvious' thing, even if it's right in front of their face. And I know enough about the early days of NASA to recognize that they were dealing with technology so cutting-edge that, often, they didn't even know what questions to ask, let alone find the answers. So their natural inclination would be to use the most modern methodologies available. In that frame of mind, I can understand how they could easily overlook some ancient method, however 'obvious' it may seem to an outside observer. Just my two cents...
PCBacklash _ math doesn't work in timelines. It works in a hierarchy of principles. So you don't go about solving a problem in mathematics based on "current" or "ancient". So, whatever you know about problem solving, I am sorry to say your whole comment is crap. And I'm not one of those who thinks that the protagonist shouldn't have been credited this much. Just saying this scene was bs. Worse than bs. Any mathematician that likes this scene should give up on his life. That level of bs. Even big bang theory tv series does more authentic scenes than this. My two cents.
@@myspaceuser haha...It was a comment from long time ago and now I am a bit embarrassed with my outrage shown here...sorry guys...I still hold the same view about the topic but would word it differently next time. Outrage not justified
As a kid I was really bad at math, teachers always paid attention to the kids who got it faster. My mom hired a lady to teach me, it was like learning German explained by a Mandarin speaker. Until for some reason everything made sense. There was something I was not getting it until I got it. In my school they rate the grades from 01 to 20 where you have to get a 10 to pass as a minimum, 9 is failed. And they do 3 tests. On the first one I got 03, on the second one 09. I was about to lose the year but on the last test I got 19. The next semester I got 17, 20 and 19, the best grade. Math is such a joy.
I was like that in chemistry. I didnt get it until suddenly I did. It was entirely the teachers fault. It was beginning chemistry but only 5 people passed the final.
@@michmirich I have two nieces, they are twins. One get the class just fine, the other one does not get it and cried a lot frustrated. I noticed she just gets distracted and does not know how to pay attention. I told her mom when doing homework place one in the kitchen and the other one in the living room because she gets distracted/ frustrated by seeing the other one just doing it. In no time she just started to feel more relaxed about homework. Now she is doing just fine. People just learn differently.
@@vjreimedia Absolutely! but its a teachers job to make sure most if not all of their students are understanding the subject matter. In a class of more than 20, at least 15 should have received a passing grade.
The amount of negativity in this comment section is just sad. There are some normal comments but the majority are just people calling the movie propaganda because they can't handle education. It's okay to point out that the equation seems to be nothing and dismissing Euler's Method is silly, but saying that Katherine got more credit than she deserved is stupid.
Abhimanyu Sinha I agree. Perhaps the vast majority of people commenting about her getting more credit that she deserved fail to realize that the movie is based on historical fact and the real life accounts of Katherine and everyone working at NASA during that time. She got the credit because that’s where it was due!
DFS43 How is problack a problem? People like you make me question why didn't you get swallowed. Problack is actually good because it's getting more recognized 90s-2014 most black people hated being black due to European beauty standards. Now they're more natural and open to their culture. What's prowhite doing? Sharing their "culture" that they don't have? ITS A MOVIE! I can name over exaggerated movies about white people if that's your issue.
Wrong. The screenwriters took a lot of liberty with the truth. This scene is pure fiction, or perhaps you could provide a reference that supports the authenticity of this. Good luck, because it doesn't exist.
Charles Black the imitation game is quite a joke in terms of historical accuracy. Yet it won awards and was acclaimed. I remember people also criticizing Selma for inaccuracies, I just thought it wasn't a very good movie, but not because of the inaccuracies yet never mentioning how inaccurate the celebrated imitation game was. I'm sure you are just as critical of other movies that reference historical events and people and criticize their inaccuracies because guess what, most of it is not accurate. Maybe you have a particular Obsession do tooth the who is supposedly it accurate in this movie.
I remember learning and using Euler's Method and Newton's Method in my math elective programming class where we were only allowed to create programs for finding values of complex functions using simple operations: addition, subtraction, multiplication, division, exponents. These Method didn't provide the "exact" solution, but the numerical approximation was close enough for all intents and purposes, and given any error range, I could easily calculate how many iterations of the algorithm were necessary to be within the desired error. Like Pythagoras' Theorem, it may be old but it works.
I don't think Euler's angles have anything to do with Euler's method for approximating the solution to a system of first order DEs [Differential Equatinons.}
Watching films like this makes me fall in love with Science and Maths, daydreaming of me applying to ESA (European Space Agency). Then I remember - I got a low C grade in Maths. Nevermind! 😂
@@Chasstful "Katherine’s specialty was calculating the trajectories for space shots which determined the timing for launches. “I’d ask (another section at NASA), ‘Where do you want (the astronauts) to come down?’ And they’d tell me the spot and I’d work backward from there.” An early achievement was correctly computing the ‘launch window’ for astronaut Alan Shepard’s Mercury mission. His successful splashdown at sea on May 5, 1961 marked the return of the first American in space. As the work grew more complex, Katherine was tasked with calculations to propel space capsules into orbit around the moon and to send landing units to and from the lunar surface. She also earned kudos for plotting backup navigational charts that would enable astronauts to guide their ships by the stars in case of electronic failures. In 1962 computers were used for the first time to calculate John Glenn’s history making orbit around Earth. But, according to Katherine, NASA officials called on her to verify the numbers. “They knew I had done most of the [the calculations], so they let me do it,” she said."
Because while she did a great acting job, Viola Davies did a better job in Fences. And thank to that Oscar, she became the first African-American to win the "Triple Crown of Acting" (that is winning an Oscar, an Emmy and a Tony award).
@@mikaku Can someone tell her to at least try recording a spoken album for once? I'm sure the Grammys will consider her with open arms like Michelle Obama.
As an engineer, I find it funny that at 1:10 includes what looks like "The Runge Kutta method" on the right page, which was always a go to over Euler's method for its faster convergence on a more exact answer. I'm not a historian, nor do I want to dig through a NASA historical database, but I wouldn't be surprised if other numerical methods like this were used over Euler's. I would think the movie needed something simple enough for the audience to understand. Easier to use Euler's instead of "fourth order Runge-Kutta". Also, no scientist would be saying "That's ancient" regarding a mathematical principle/method. Pythagorean Theorem is "ancient", but it still gets the job done. Still, fantastic movie.
My late wife, who was a brilliant mathematician, would totally agree with that. My present wife, who is a fine physicist, would probably say the same but I have to ask her first.
You are correct. The scientists and engineers working on the project were neither as ignorant nor as racist as presented. Katherine developed novel approaches, which is why after the human computing team was disbanded, she was kept on with the project and why she got her name on papers.
The beginning of this movie showed a young, Black girl sitting in a hallway looking at the shapes on the wall across from her. She couldn't have been more than 8 or 9 years old. She started naming the shapes, "isosceles triangle", "equilateral triangle", "parallelogram"....... It was that moment I broke out in tears knowing that child had the gift of understanding the beauty of mathematics.
My favorite scene in the film! I know there are some complaints about the scene being "too simplistic," mathematically, but film isn't about math. It's about image, story, sound, and emotion. I love this scene because it dramatizes the concept that multiple minds approaching the same problem with multiple perspectives work where a collection of homogeneous minds trip each other up. Thanks for posting this scene! I was hoping to find this...I'm going to use it in class when we talk about diversity and advantages of diverse working groups.
You remind me of the CEO's of Apple who fired their African American Diversity Manager, for suggesting that Diversity applies to Diversity of Ideas, not just Race/Gender lol. The irony...
frank lucas This scene depicts both. So I'm not sure what your complaint is about unless you are sure that he is relying on the diversity of personhood only. However diversity it's often shunned. Albeit coming from the wrong person ,perspective, or its newness. Look at what happened with the Challenger when groupthink took over.
wait till you get to calculus iii. If it was taught in the same way back when I was a student, its what you learned in i and ii but in 3D and 4D (if you consider density a dimension).
This woman was phenomenal in real life. This is the kind of history certain people don't want our kids to know. This is the history all people in the country should be proud to know, to see how we as a nation could thrive.❤
"There is no idea so silly, a woman won't allow another woman to convince her of it, if only to preserve social cohesion, especially the idea of social cohesion." ~ Someone tired of women being able to read, for reading is the root of the pornography women prefer.
She was pretty smart but this is all fictionalized and she wasn’t at the forefront of anything. She was a math janitor who looked out for typos and other mistakes. No one is hiding this history. She just wasn’t that important. Sorry but that’s the truth.
@@egm2901 I’ve never seen Apollo 13 but that’s not the same thing. Apollo 13 is about astronauts who went to space and ran into problems. That actually happened. The actors were white and so were the astronauts. What’s your point?
@@basedlawyer5147 Tell us you're a bigoted racist without actually saying you're a bigoted racist. I really feel sorry for anyone who ever has the misfortune of being your client.
As a Math PhD student it's kinda hard to watch these actors pretend to know about math. Literally nobody in these people's position should be unaware of Euler's method. It's kinda do-it-in-your-sleep level material for someone who works in dynamical systems...
A wonderful movie, great acting, fantastic writing and covers a subject matter everyone needs to know about.~~!!! For those who've never seen it please do, you won't be disappointed..
Everyone in this comment section is freaking out about the maths. Its a movie. A movie aimed at giving the women on which this is a based the recognition they deserve while talking about and breaking down the racial barriers they faced. Not about math.
These are great actors. The way they make it seem like they understand that math is amazing. I would be WTF am I trying to write or read from the beginning and fail the acting.
I get a tear when I see moments like this. I have such a deep appreciation and respect for people like this. I've forgotten so much EXCEPT the sense of beauty in people that are so damn intelligent.
Truly great actors can take a small part and make it into something fabulous! Kevin Costner is so good in that movie and shows his range in a variety of ways. And if you look at the part it's actually a very limited relatively plane part then he makes it part of the story where he supports these women.
My mother is a genius. Double promoted TWICE by she 10. Accomplished classical.pianist, violin and organ. Graduated 4.0 from college at 17. Speaks and writes fluent French. Black american. Physics , chemist and math whiz. Would have become a physician except she married a black doctor. Her father was a doctor. She is 94 years old and sharp as a pin. I see her everytime I see clips of these women. Black Americans help build this country! Thank you JEHOVAH for my mom. I love you heavenly Father and my mom!
Euler’s method is a first-order scheme for solving first-order ordinary differential equations (ODEs) numerically, i,.e, solve dy/dx = f(x,y) subject to y(xo) = yo. It is indeed ancient, after all, Euler lived in the 1700’s, but his method lives on because it can be easily implemented, even by hand and a slide rule (as they most likely did in the period this movie shows). Nowadays, Euler’s method is used mostly to illustrate what not to do in the numerical solution of ODEs as it is the worst method in terms of the numerical error introduced. Runge-Kutta methods of the 4th and 5th order are preferred for their accuracy.
I shudder to think how often in the past great minds like these were manipulated and used for the benefit of all mankind (or possibly just a few) without any recognition or reward. Who could even imagine where the world would be today without segregation, racism, and religion?
Name one male engineer or mathematician working in her department. Where is there recognition or reward? Did you know that the names of all the real-world men working with these ladies was changed so that their families would not sue the studios for wrongful defamation of character? Katherine never suffered any of the things portrayed in this movie. She records that her co-workers were always gracious to her. Far from not wanting to share a coffee pot with her, she was invited to eat lunch with them on the first day. She never once used the "colored bathroom", and only once was questioned about it - by a woman. The engineers she worked with didn't care. There was no smashing down the "Whites Only" sign. Federal facilities had been racially integrated back in the 1940s. The whole movie is an exercise in deliberate deception intend to make you shudder and make you angry. If the world would be today without racism, it would also be without this movie.
The reason he says “that’s ancient” is another way of saying I don’t know that method well enough to use it in practice. He was showing his ignorance and trying to discount her theory because he couldn’t comprehend it himself.
My father used to tell me you could work out anything mathematically, and you know he did, he took one chain of stores in the UK from an almost run to the tenth largest company in the country in the late 70's. People had different skills then.
The problem in this scene is not in the dialog but on the chalkboard. Euler's method is, as she says, a method for numerical integration. What she is saying (in an abstract sense is that analytical, closed form methods don't exist for the integration she needs to do. Before computers, this was a problem, for, while numerical solutions existed, they were painful and expensive (in man-hours) to pursue. With the advent of computers (as she is illustrating in this scene), suddenly the old ways (well, some were old) suddenly got a new lease on life. It is a great idea only a comp sci geek would have thought of. Orbital mechanics is full of calculus; Newton had to invent Calculus (one branch of it, anyway) to prove his theory of Gravity explained Kepler's laws of planetary motion. The problem is that the chalkboards don't contain a single integration sign (it is a tall stretch-S thing with numbers at the top and bottom, followed by a math expression and usually with a "dx" following - there's one on the first page she opens to in the book) on them. The second page opened in the book contains differential equations in a derivation of the method, but on the next page you can see where the next section after Euler's method is the Runge-Kutta method, an improvement on Euler's. Euler's method will give you bupkis unless used on an integration problem. They throw a few radicals and lots of numbers, an occasional pi and trig function, a few Greek letters and other essentially meaningless stuff, most of which is amenable to immediate reduction with slip-sticking (are there actually any slide rules in the film? Every engineer had one, or several, until HP obsoleted them in about 1976; my well-worn collection sits on a shelf in my bedroom), and the producers expect it to be enough. Any sophomore physics or engineering student could have done a better job at decorating the boards.
Euler's method IS specifically applicable to systems of first order differential equations. Such equations involve a rate, for example speed, or [distance travelled] /]time], often expressed as [dx/dt]. For a body in orbit, dx/dt would be a function of such things as: gravitational acceleration, of not just the earth but also other nearly celestial bodies. other acceleration, such as rocket thrust atmospheric drag weight, which may need to be continually recalculated due to fuel consumption None of these would normally be described using a integral formula. Now it may be that Euler's method can be used to numerically solve problems for which the applicable formulas do include integrals. But that does not in turn imply that an integral is a necessary ingredient of an Euler method application.
I remember screaming yay!!! Lady!!!, we were introduced to Euler's in 8 or 9 th grade, our teacher loved it we hated it. This movie made me respect Euler and scientists even more, it made me realize what true hardship, bias looks like.
I agree but a lot of the time it’s the Suppression and the hard ship people suffer that help push them to be as great as they are. If they had the equality that any human deserves then they might not have worked as hard to become the brilliant minds they were. But regardless no one should ever be or ever have been treated they way they were :(
We really liked this movie. Unsung heroes, they make the world go round. Astronauts, Presidents, Board Leaders, Coaches, Top Executives We know these people in some fashion. Their names leave a lasting mark on our subconscious. But unsung heroes, we never think about it. The ground crews, the engineers, the mechanics, the program writers, the architects, the builders, heck cement truck drivers. If they don't do their jobs in a timely manner that lets a project be completed, nothing in history would be as it is now.
Uh, what? Euler's Method is taught in every basic sophomore year differential equations course. It's a flagship technique that literally everyone that works in the physics or mathematics or engineering knows about. Why would this seem so brilliant? In reality, the mathematics used by Johnson for this task was undoubtedly far more complex.
Katherine Johnson was a computer at NASA in the 50's. A time where most Engineers were taught Engineering by professors with the knowledge equivalent to that of a High School Teacher, in a time when Google didn't exist, and there were no set parameters for these situations. It is highly likely that thanks to Mrs. Johnson Euler's Method was brought back into standardized use. Homer Hickem who like Mrs. Johnson, was lightyears ahead of his time, had to teach himself Telemetry, by way of a Calculus book even Ivy League Universities weren't yet using.
ASRIBEIRIO Everyone today. Back then, science and math were subjects for rich college people. They weren't taught in high schools, at least not at this level.
This shit never happened, this is "based" on actual events, meaning its pure fiction, Do you really think this woman was a better mathematician than a room full of MIT engineers? This film is pc PROPAGANDA
This episode never happened, or at least there is no record of it happening, the screenwriters took a ton of liberty with truth I believe. These days in Hollywood, the term "based on" actual events means fiction. This film was just PC propaganda, sorry to burst your bubble.
Sheldon looks super salty for at least a third of this movie 😂
I read somewhere that he didn’t like having to be apart of the movie and having to pretend to be racist for it or something like that.
@@sinwolfe4868 I wonder if he liked the paycheck.
@Black Ninja
He's not racist...
@Black Ninja
We all know he's not... That "smart"
I called him Sheldon through the movie too!
"that's ancient"- haha, i don't think any scientist would ever say that. the pythagorean theorem is pretty old too...
Yet, I have not used it to this day. I still don't understand why I was taught it in high school. Since, I've graduated all I've had to use is simple math, addition and subtraction that's it. I did not need any theorem to push out my daughter.
@@stephanieparadine7953 because you are a normie.....iam a mechanical engineer and i use it very often in my field.
@@prasanth_m7 hahaha thanks
@@stephanieparadine7953 Every 2d shape can be cut into right triangles. They are very important for doing geometry, which normal people might want to do.
@@jamest2606 thank you for taking the time to explain.
"Euler's Method? bUt ThATs aNcIeNT"
iF iT tHaTs aNcIeNT, wHy I aM I sTiLL LeArNinG iT iN sChOoL?
@@imperialrecker7111 lol! O.o you know that this happened in the 1960s right? The Euler's Method wasn't used alot around that time !
Inteligence is better than envy
@@soobinnguyen6461 people didn't know euler in the 1960's?
@@ekoi1995 or they were just stupid not to use it in this context
the limit does not exist!!
djvanderbilt I just saw Mean Girls😂😂😂
Yes
😂😂😂😂😂😂😂😂😂😂
That's so fetch.
Ragecurse the Kitsune You've been warned it’s a reference to mean girls
As a math person, the idea of anyone at that level of math or science dismissing something because Euler worked on it is ridiculous. Euler revamped the world of math in many ways and his formulas are the foundation of a ton of different things in lots of areas. That'd be like them saying well lets discount Newton's laws of motion because that's ancient. It's not wrong and it was discovered by a genius. Loved the movie as a whole though! Just as a math person that line was a bit odd lol.
Tad Meissner That's what I though t
Still being surprised that someone brings up Euler in high level mathematics is like being surprised someone used an adjective in an English essay, even in new mathematics you use what's been built on and most of that Euler has had something to do with.
Yeah but that's like being surprised that an equation uses multiplication. It still makes no sense. Also what they say about "new math" makes no sense. It is more likely they were inventing new physics formulas. Not whole branches of math.
They are both commonly used
Yes that specific method isn't used every time. But he dismisses it as "that's ancient" if one thing Euler did is ancient so is pretty much everything else he did. And I can't think of a branch of mathematics where one of Euler's theorems or identities or Euler's something isn't an integral part of it. He's one of the most brilliant mathematicians to have ever lived and dismissing his stuff as ancient is pretty ridiculous, as I'm sure even before they were using Euler's ancient method they were probably using 12 of his other theorems and identities as it's unavoidable in high level math. I've been a math major for the past 4 years and I can't think of one math class I've had so far that hasn't featured a "what euler did in this area" day of class where the professor talks about how much euler did for this area usually with a history lesson on euler and some random euler trivia, and I transferred schools in the middle. My point is I'm pretty sure most of the math world loves Euler and dismissing his work is just not done lol.
People just don’t realize how truly epic Euhler was. The sheer quantity of works that are still being published today and into tomorrow beyond is unbelievable.
Euler not euhler….
@@hongchulnam1630 pronounced as Oiler
And he was blind for most of his work
@@teddybearisms2505 Boy did you miss the point of the whole story. She was anything but ordinary regardless of her humility compelling her to say she was. She was a black woman in the American south in the 1960s who was instrumental in applying all the mathematical and astrophysics knowledge available at the time in order to figure out how to insert a human piloted space vehicle into orbit and have it return to Earth in a 20 square mile target as well as landing a manned spacecraft on the moon and returning to land on Earth in a defined target area. Anyone capable of doing this would not be ordinary let alone a black woman in that time and place.
@@teddybearisms2505 Every character in the movie is played up. Everyone is pretty average.
By your logic they are there because of their race and gender too.
Stop being so salty.
'Huh, that's it'
'Type it up'
Damn, not even a thank you?
This is the comment I was hoping to find. Not even a thank you. NOT EVEN A THANK YOU! 😤
RIGHT!
He don't like that she did it
I thought the same thing.
Yes they were very dismissive towards her loved that she kept a great attitude and didn't let it interfere with her work they didn't acknowledge her then but at least now she's being recognized 😉
I remember back when I was in AP calculus. In the last month (after we had taken the AP test) we had nothing to do so we goofed around and watched movies. We watched hidden figures and I’ll never forget how everyone had the same simultaneous groan when she said “eulers method” because of how absolutely done we were with it. Good times.
I am in the same boat as you lmao, just finished the Calc BC exam and we all groaned a little when we finally recognized a math concept that was in the movie.
😂😂😂😂
At least the director made sure the actors pronounced Euler's name correctly.
Stimmt!!!
Wait that's how you really say it? I pronounce it You-ler's method
@@simonepazsimon7219 It's pronounced "Oiler"
Here's a video about the pronunciations of a lot of famous mathematicians (and Physicists) names
th-cam.com/video/4Xp4F1h0YZM/w-d-xo.html
@@spycemyster8198 I'll stick to my You-ler's method to mess with know-it-alls hehehe
@@simonepazsimon7219 Sure are owning us.
I love when she do math is so pretty I feel like I wanted to work for nasa
..............Just wow.
But you never in your life will . Never ever ... You won't even come close to it .
If you focus your life on chasing a math degree and learning lots of methods in math you can achieve it!!!!
JAMES MARK CABRAL Neither will you.
Lord Of Truth Oh calm the hell down he’s just saying it’s hard to get there damn
As a math major, I feel like I have to explain why I suspect nobody considered Euler's method at first. Euler's method is a form of numerical computing by approximating a complex formula by a combination of several simpler formulas. Basically, you draw several very tiny lines between the points and use that to approximately represent the function (it's actually more involved than that, but that would take longer to explain) The idea is that the smaller the distance between the points, the more exact your final answer will be. However, when you decrease the distance between the points, you increase the number of calculations you need to do. Nowadays, numerical methods like this are usually done with a computer, which will generate 1000 calculations before you finish getting your coffee, but back in the day this movie is set computers were brand new. All these calculations would have to be done by hand, and although that's what they hired "computers" for, the regular NASA scientists would have probably seen it a cumbersome, and may have forgotten about it years before.
@Dustin Stich 🤣😁😁
@@dustinstich6202 Ha ha. Funny because it's very very likely true. They knew a tremendous amount of dynamics. Most of the problem was making a rocket to do what is easily calculated. 😀
I couldn't even do long division or long multiplication. I was pure useless at maths, when I look at Catherine I'm gobsmacked at what she could do. My kids are good at Math.
@@72mossy I'm bad too n I'm 16
@@dustinstich6202 Are you majoring in Physics? You need at least some graduate classes and advanced mathematics.
If Cookie meets Sheldon
Sheldon was in the movie
@twistedblktrekie Oh
Cookie's more brilliant than Sheldon.
More like Det. Carter vs. Dr. Cooper.
When I watched this I was amazed at the realization that all the math was done by hand, not one advanced computer was used. They successfully calculated and projected everything that brought humans from the earth to the moon and back. That’s pretty damn awesome. 😊
They had mechanical calculators over a century ago (+ slide rules). By WW2 they had electromechanical ones. They also had lots of tables in book form. NASA also had computers (fairly advanced ones for the time). It definitely wasn’t by hand.
In fact, the calculations used to drive the plot in this movie were done on a computer by a young white guy. You really shouldn’t trust the historical accuracy of movies :)
@@robertwatson818 😳
When they started integrating computers in the NASA program, the scientists would double check the accuracy of the computers by checking with the women portrayed in this movie!!
@@SpotTheBorgCat - Awesome! Thanks!
And the job name of people who did those calculations was “Computer” like Writer, Editor, Janitor, etc.
"Math is always dependable."
"For YOU it is."
😂😂
My Dad taught himself Calculus so he could be a machinist. Since it wasn't a subject in his dinky high school, and he got drafted into the Army, he must have done it in his spare time in the Army. After that he got a job as a boring mill operator for Vought. He worked on probably every aviation and space program there was for 30 years. He was laid off for a couple years, so he worked at Lockheed in the Skunkworks.
I remember once when I was a kid, we had a class project to report what our parents did. I asked Mom, "Directory assistance supervisor for Southwestern Bell.
I asked Dad, "I make potato chips." Many years later he said he told me that because it was classified at the time. Probably the Regulus missile.
And he LOVED messing with everybody in a myriad of creative ways. THE original funny bone.
We’re literally learning Euler’s Method this week in DiffEq. It’s a class most STEM majors take immediately following the calculus sequence. Euler is the freaking rock star of the math department (he’s got multiple fanboys, it’s great). Seeing the stuff I’m groaning over in my 8am presented so dramatically made me laugh hard enough I think I may have cracked a rib.
Man I hated DiffEq when I took it for my astrophysics major. You get used to it if you're willing to accept right off the bat that it works amd you probably aren't going to really intuitively understand how or why for a while. Lol. Extremely powerful branch of math.
They love overdramatizing shit. Non-stem people watch this crap and think its real
one of my friend's last names is Euler; I asked her if she prefers "yoo"-ler or "oil"-ler. She says the only ones that call her "oil"-ler are those that know higher math.
Love the stunned reaction by Jim Parsons. You can tell from his expression he's realised that Katherine is a level above him.
This is such a great movie. So many great actors and actresses. Love it.
my math teacher: "we're going to watch a movie about math!"
everyone: UGHHHHHHHH
me: *just excited because the movie is also about space*
Yes I will watch anything about space,even if I hate the subject. I just wanna have movies which has details.
My Math teacher put this movie yesterday and today we didn’t finish it all we where very close to tho and I loved the movie it was so good
lazy teacher.
I don't think a maths teacher should be showing films in class. Shouldn't some, ooh, I don't know, MATHS teaching be done?!
What grade and what state is this in the USA? Is it a public school? Why the hell are they watching this hollywood crap when there’s so much ACTUAL stuff to learn
Just took my test in Differential Equations over Euler’s method. Surprisingly the easiest part of the test..
@Paul Kryder try the modified one kkk
Next midterm: spline methods
🥹😭😭😭😭😭😭☝🏿 I wasn't thinking
My brain hurts just watching this. It's too much math.
Then you are condemned to accepting what they tell you as true. Math is the language of the universe.
...and not enough meth
...and not enough math, either. This is a screen writer's idea about how to snow the non-engineers in the audience, and not have to bone up on the math himself to make it completely realistic. It's close enough to sound right, it rings bells in a an engineer's head, but its not quite real. The problems not in the shape of the orbit (that is, whether the orbit is open or closed) but rather in how to get a numeric solution from a problem without a closed -form math solution. You go back to numeric approximations (such as Euler's integration algorithm), which require a lot of number crunching. Guess what changed to make that a possibility.
#murica
Hailey Villasenor
x = -b plus or minus the square root of b squared minus 4ac over 2a.
I see a lot of comments here stating that Euhler's method is such a basic part of mathematics training that it should have been obvious to everyone in that room.
Now, I never got beyond basic high school geometry (history was always my thing), so I don't know if that's true. But I DO know problem-solving, and if there's anything I've learned it's that people can be so laser-focused on certain methods and paradigms that they can overlook the most 'obvious' thing, even if it's right in front of their face.
And I know enough about the early days of NASA to recognize that they were dealing with technology so cutting-edge that, often, they didn't even know what questions to ask, let alone find the answers. So their natural inclination would be to use the most modern methodologies available. In that frame of mind, I can understand how they could easily overlook some ancient method, however 'obvious' it may seem to an outside observer.
Just my two cents...
PCBacklash _ math doesn't work in timelines. It works in a hierarchy of principles. So you don't go about solving a problem in mathematics based on "current" or "ancient". So, whatever you know about problem solving, I am sorry to say your whole comment is crap.
And I'm not one of those who thinks that the protagonist shouldn't have been credited this much. Just saying this scene was bs. Worse than bs. Any mathematician that likes this scene should give up on his life. That level of bs. Even big bang theory tv series does more authentic scenes than this.
My two cents.
@@kundankumar777
Yeah ok
@@myspaceuser haha...It was a comment from long time ago and now I am a bit embarrassed with my outrage shown here...sorry guys...I still hold the same view about the topic but would word it differently next time. Outrage not justified
It's like saying we didn't think 1+1= 2 because the math is ancient. It doesn't make any sense.
Have you at least learned to wait a little bit or re read over your relies before sending to make sure the tone is appropriate? 😙😅
As a kid I was really bad at math, teachers always paid attention to the kids who got it faster. My mom hired a lady to teach me, it was like learning German explained by a Mandarin speaker. Until for some reason everything made sense. There was something I was not getting it until I got it. In my school they rate the grades from 01 to 20 where you have to get a 10 to pass as a minimum, 9 is failed. And they do 3 tests. On the first one I got 03, on the second one 09. I was about to lose the year but on the last test I got 19. The next semester I got 17, 20 and 19, the best grade. Math is such a joy.
I was like that in chemistry. I didnt get it until suddenly I did. It was entirely the teachers fault. It was beginning chemistry but only 5 people passed the final.
@@michmirich I have two nieces, they are twins. One get the class just fine, the other one does not get it and cried a lot frustrated. I noticed she just gets distracted and does not know how to pay attention. I told her mom when doing homework place one in the kitchen and the other one in the living room because she gets distracted/ frustrated by seeing the other one just doing it. In no time she just started to feel more relaxed about homework. Now she is doing just fine. People just learn differently.
My question is,why do you need from 1 to 20 to grade a student ?!!!
@@vjreimedia Absolutely! but its a teachers job to make sure most if not all of their students are understanding the subject matter. In a class of more than 20, at least 15 should have received a passing grade.
@@michmirich All students are paying the same. Use your brain, loser.
Katherine Johnson is a powerhouse, I aspire to have the talent she has
RIP
This is fake as hell. This scene legit never happened.
@@TruthDissident Damn, were you the coffee maker watching everything?
@@popsicIes Nah it just didn't happen.
@@TruthDissident "This is fake as hell. This scene legit never happened." - LOL - I take it you were there
The amount of negativity in this comment section is just sad. There are some normal comments but the majority are just people calling the movie propaganda because they can't handle education. It's okay to point out that the equation seems to be nothing and dismissing Euler's Method is silly, but saying that Katherine got more credit than she deserved is stupid.
Abhimanyu Sinha I agree. Perhaps the vast majority of people commenting about her getting more credit that she deserved fail to realize that the movie is based on historical fact and the real life accounts of Katherine and everyone working at NASA during that time. She got the credit because that’s where it was due!
DFS43 How is problack a problem? People like you make me question why didn't you get swallowed. Problack is actually good because it's getting more recognized 90s-2014 most black people hated being black due to European beauty standards. Now they're more natural and open to their culture. What's prowhite doing? Sharing their "culture" that they don't have? ITS A MOVIE! I can name over exaggerated movies about white people if that's your issue.
Dummy, people are calling it propaganda BECAUSE IT IS PROPAGANDA. Research the subject matter for yourself.
Wrong. The screenwriters took a lot of liberty with the truth. This scene is pure fiction, or perhaps you could provide a reference that supports the authenticity of this. Good luck, because it doesn't exist.
Charles Black the imitation game is quite a joke in terms of historical accuracy. Yet it won awards and was acclaimed. I remember people also criticizing Selma for inaccuracies, I just thought it wasn't a very good movie, but not because of the inaccuracies yet never mentioning how inaccurate the celebrated imitation game was. I'm sure you are just as critical of other movies that reference historical events and people and criticize their inaccuracies because guess what, most of it is not accurate. Maybe you have a particular Obsession do tooth the who is supposedly it accurate in this movie.
I remember learning and using Euler's Method and Newton's Method in my math elective programming class where we were only allowed to create programs for finding values of complex functions using simple operations: addition, subtraction, multiplication, division, exponents. These Method didn't provide the "exact" solution, but the numerical approximation was close enough for all intents and purposes, and given any error range, I could easily calculate how many iterations of the algorithm were necessary to be within the desired error. Like Pythagoras' Theorem, it may be old but it works.
Man this shit hits different when you are a Senior in Aerospace Engineering. I use Euler's angles a lot when we do matrix rotations.
Tell me about it brother
I don't think Euler's angles have anything to do with Euler's method for approximating the solution to a system of first order DEs [Differential Equatinons.}
I thought you would use the dot matrix system instead?
Watching films like this makes me fall in love with Science and Maths, daydreaming of me applying to ESA (European Space Agency). Then I remember - I got a low C grade in Maths. Nevermind! 😂
Google searches for Euler's method went up after this movie.
Remember, "Based on a True Story"
Monster Hesh it is .Karen Johnson is still alive & got awarded by NASA a few months ago .
Perhaps, but scenes like this are clearly exaggerations if not outright fiction.
"based" meaning they could change anything they want in the story. The movie 300 is based on a true story haha
@@Chasstful "Katherine’s specialty was calculating the trajectories for space shots which determined the timing for launches. “I’d ask (another section at NASA), ‘Where do you want (the astronauts) to come down?’ And they’d tell me the spot and I’d work backward from there.” An early achievement was correctly computing the ‘launch window’ for astronaut Alan Shepard’s Mercury mission. His successful splashdown at sea on May 5, 1961 marked the return of the first American in space.
As the work grew more complex, Katherine was tasked with calculations to propel space capsules into orbit around the moon and to send landing units to and from the lunar surface. She also earned kudos for plotting backup navigational charts that would enable astronauts to guide their ships by the stars in case of electronic failures. In 1962 computers were used for the first time to calculate John Glenn’s history making orbit around Earth. But, according to Katherine, NASA officials called on her to verify the numbers. “They knew I had done most of the [the calculations], so they let me do it,” she said."
no lies about KATERINE THOUGH, THAT IS TRUE, SHE WAS A GENIUS AND NOBODY CAN DENY THAT ONLY HATERS WHO ARE LOSERS WILL TRY LOL
One of the best movies of our time. No doubt about it.
Also, a movie which is much needed now.
Good movie, not even close to best of our time
Outstanding movie!
true
DFS54 you’re an idiot
It is a brilliant movie about a brilliant person working through so many obstacles, personal and mathematical. Bravo!
Why the hell Taraji P. Henson didn't win an Oscar for her performance on Hidden Figures?
And the movie should have won best picture.
Because while she did a great acting job, Viola Davies did a better job in Fences. And thank to that Oscar, she became the first African-American to win the "Triple Crown of Acting" (that is winning an Oscar, an Emmy and a Tony award).
@@robfiedler2139 a year with Fences, Hacksaw Ridge and Moonlight also nominated. While Hidden Figures was good, those 3 movies were better.
@@mikaku Can someone tell her to at least try recording a spoken album for once? I'm sure the Grammys will consider her with open arms like Michelle Obama.
As an engineer, I find it funny that at 1:10 includes what looks like "The Runge Kutta method" on the right page, which was always a go to over Euler's method for its faster convergence on a more exact answer. I'm not a historian, nor do I want to dig through a NASA historical database, but I wouldn't be surprised if other numerical methods like this were used over Euler's. I would think the movie needed something simple enough for the audience to understand. Easier to use Euler's instead of "fourth order Runge-Kutta".
Also, no scientist would be saying "That's ancient" regarding a mathematical principle/method. Pythagorean Theorem is "ancient", but it still gets the job done. Still, fantastic movie.
My late wife, who was a brilliant mathematician, would totally agree with that. My present wife, who is a fine physicist, would probably say the same but I have to ask her first.
You are correct. The scientists and engineers working on the project were neither as ignorant nor as racist as presented. Katherine developed novel approaches, which is why after the human computing team was disbanded, she was kept on with the project and why she got her name on papers.
The beginning of this movie showed a young, Black girl sitting in a hallway looking at the shapes on the wall across from her. She couldn't have been more than 8 or 9 years old. She started naming the shapes, "isosceles triangle", "equilateral triangle", "parallelogram".......
It was that moment I broke out in tears knowing that child had the gift of understanding the beauty of mathematics.
Amazing movie!!!!
I will not get tired of watching this movie!
"Read Euler, read Euler. He is the master of us all" - Pierre Simon de Laplace
My favorite scene in the film! I know there are some complaints about the scene being "too simplistic," mathematically, but film isn't about math. It's about image, story, sound, and emotion. I love this scene because it dramatizes the concept that multiple minds approaching the same problem with multiple perspectives work where a collection of homogeneous minds trip each other up.
Thanks for posting this scene! I was hoping to find this...I'm going to use it in class when we talk about diversity and advantages of diverse working groups.
You remind me of the CEO's of Apple who fired their African American Diversity Manager, for suggesting that Diversity applies to Diversity of Ideas, not just Race/Gender lol. The irony...
frank lucas This scene depicts both. So I'm not sure what your complaint is about unless you are sure that he is relying on the diversity of personhood only. However diversity it's often shunned. Albeit coming from the wrong person ,perspective, or its newness.
Look at what happened with the Challenger when groupthink took over.
Kael Moffat has hustle
@@franklucas4736 That says a lot more about you than about OP.
That's not how math works.
I just finished Calc II and holy shit... people who do Euler’s method for fun have my full respect.
why lol, its a really easy formula to use
wait till you get to calculus iii. If it was taught in the same way back when I was a student, its what you learned in i and ii but in 3D and 4D (if you consider density a dimension).
Euler pretty much always shows up in math. Doesn't matter what kind of math he always shows up eventually
Journalist too ! Had his own column !
This woman was phenomenal in real life. This is the kind of history certain people don't want our kids to know. This is the history all people in the country should be proud to know, to see how we as a nation could thrive.❤
"There is no idea so silly, a woman won't allow another woman to convince her of it, if only to preserve social cohesion, especially the idea of social cohesion." ~ Someone tired of women being able to read, for reading is the root of the pornography women prefer.
She was pretty smart but this is all fictionalized and she wasn’t at the forefront of anything. She was a math janitor who looked out for typos and other mistakes. No one is hiding this history. She just wasn’t that important. Sorry but that’s the truth.
So, did you apply the same exacting standards to the Apollo 13 movie? Or was all of that movie exact to the letter with no dramatization involved?
@@egm2901 I’ve never seen Apollo 13 but that’s not the same thing. Apollo 13 is about astronauts who went to space and ran into problems. That actually happened. The actors were white and so were the astronauts. What’s your point?
@@basedlawyer5147 Tell us you're a bigoted racist without actually saying you're a bigoted racist. I really feel sorry for anyone who ever has the misfortune of being your client.
FINALLY. THAT'S WHAT THE NAME WAS. HIDDEN FIGURES. I WAS TRYING TO REMEMBER IT THIS WHOLE DAY THANK YOU
I loved watching this!
Awesome movie. I've read countless books on the subject, but there is nothing like a movie like this to truly put it in perspective.
I like how Shelton says "let's type it up" as if by sneaking in the contractional version of "let us" no one in the audience would notice
As a Math PhD student it's kinda hard to watch these actors pretend to know about math. Literally nobody in these people's position should be unaware of Euler's method. It's kinda do-it-in-your-sleep level material for someone who works in dynamical systems...
There is a plurality of black students in my PhD program whose mathematical prowess would suggest otherwise, scumbag.
So...do you know what Euler's Method is?
Michael Lavigne Any tips to help me get better at algebra?
Michael Lavigne its a movie ... But the lady Katherine Johnson is still alive & got awarded for her work for NASA she was a big math nerd ..
I'm sure that scriptwriters will say that your thesis is so poorly written because it cannot be understood.
A wonderful movie, great acting, fantastic writing and covers a subject
matter everyone needs to know about.~~!!!
For those who've never seen it please do, you won't be disappointed..
Genius is not knowing everything but using what you know to make everything.
Sigh. I wish I were as good as math as she was.
then just fucking study
Jay A Indians*
Isabelle Shi 🙂👍 You can. Read, Understand, and Practice.
MORE TO IT THEN JUST STUDY U IDIOT, SHE WAS A GENIUS
@@tiana1017 If you're using the word genius to make excuses for pathetic existence then go right ahead
Everyone in this comment section is freaking out about the maths. Its a movie. A movie aimed at giving the women on which this is a based the recognition they deserve while talking about and breaking down the racial barriers they faced. Not about math.
It just doesn’t add up
Xqueen that doesn’t matter lol.
Fairly certain that it's Literally a movie about maths
This is such a Hollywood scene
“For you, it is”
I love that line.
It is a wonderful movie. I couldn’t do the math ever. But i love the story and the actors did a great job!!!
I'm thankful to live in an era when we have a society that is eager to bring out these stories that have never been told.
This scene is completely fake.
@@TruthDissident do you have anything better to do than to troll? Go back to your Kool-Aid
@@alessandrajimenez8512 Wow. Good one. Never heard that before. /s
These are great actors. The way they make it seem like they understand that math is amazing. I would be WTF am I trying to write or read from the beginning and fail the acting.
I get a tear when I see moments like this. I have such a deep appreciation and respect for people like this. I've forgotten so much EXCEPT the sense of beauty in people that are so damn intelligent.
This scene is 100% fake my man. This never happened.
@@TruthDissident how would u know
@@torta0026 Because I know. Get your knowledge up.
@@TruthDissident whether this exact scene happened or not is irrelevant, Katherine solved the problem.
@@mrjonsey "Truth doesn't matter to me, this is propaganda I personally agree with." - You probably
One of the main reasons I love this movie so....watching gifted and genius-level thinking solve complex arithmetic is simply magnificent to behold
its not complex, for anyone who has done calculus this method is very trivial
Wow, just wow!
Amazing movie❤
Truly great actors can take a small part and make it into something fabulous! Kevin Costner is so good in that movie and shows his range in a variety of ways. And if you look at the part it's actually a very limited relatively plane part then he makes it part of the story where he supports these women.
i actually cried at the ending of this movie, such a beautiful yet powerful film
I'm glad I was not the only one.
Love this movie!
Truth is timeless!
"One of" the best movies I ever seen!!!
Funny how Jim parsons character in the big bang theory (sheldon) is always making fun of engineers but in this movie he plays an engineer 😂
Addition is ancient as well though.
My mother is a genius. Double promoted TWICE by she 10. Accomplished classical.pianist, violin and organ. Graduated 4.0 from college at 17.
Speaks and writes fluent French.
Black american. Physics , chemist and math whiz. Would have become a physician except she married a black doctor. Her father was a doctor. She is 94 years old and sharp as a pin. I see her everytime I see clips of these women. Black Americans help build this country! Thank you JEHOVAH for my mom. I love you heavenly Father and my mom!
RIP Katherine Johnson
Euler’s method is a first-order scheme for solving first-order ordinary differential equations (ODEs) numerically, i,.e, solve dy/dx = f(x,y) subject to y(xo) = yo. It is indeed ancient, after all, Euler lived in the 1700’s, but his method lives on because it can be easily implemented, even by hand and a slide rule (as they most likely did in the period this movie shows). Nowadays, Euler’s method is used mostly to illustrate what not to do in the numerical solution of ODEs as it is the worst method in terms of the numerical error introduced. Runge-Kutta methods of the 4th and 5th order are preferred for their accuracy.
And your point is what?
It's hilarious that he called it ancient. We still use things in math far older than Euler. Thousands of years old. If it works age doesn't matter.
. best scene EVER .
cause, the way she
(or anybody) SEE.
IT ...
Fantastic movie within great cast and story.
Sheldon why are you there
You're supposed to be solving string theory
I shudder to think how often in the past great minds like these were manipulated and used for the benefit of all mankind (or possibly just a few) without any recognition or reward. Who could even imagine where the world would be today without segregation, racism, and religion?
John Lennon did.
probably the same
Name one male engineer or mathematician working in her department. Where is there recognition or reward?
Did you know that the names of all the real-world men working with these ladies was changed so that their families would not sue the studios for wrongful defamation of character?
Katherine never suffered any of the things portrayed in this movie. She records that her co-workers were always gracious to her. Far from not wanting to share a coffee pot with her, she was invited to eat lunch with them on the first day. She never once used the "colored bathroom", and only once was questioned about it - by a woman. The engineers she worked with didn't care.
There was no smashing down the "Whites Only" sign. Federal facilities had been racially integrated back in the 1940s.
The whole movie is an exercise in deliberate deception intend to make you shudder and make you angry.
If the world would be today without racism, it would also be without this movie.
Euler is the G.O.A.T., nobody was as productive as that beautiful SOB!
The reason he says “that’s ancient” is another way of saying I don’t know that method well enough to use it in practice. He was showing his ignorance and trying to discount her theory because he couldn’t comprehend it himself.
It’s like magic when she puts chalk to board and does mathematic calculations
Oh dear lord....
Eric Fermin you got smth to say 👁👄👁 say it to my face bitch
My father used to tell me you could work out anything mathematically, and you know he did, he took one chain of stores in the UK from an almost run to the tenth largest company in the country in the late 70's. People had different skills then.
Sheldon - "Did you know that the Euler's method was derived from an even older form of......"
The problem in this scene is not in the dialog but on the chalkboard. Euler's method is, as she says, a method for numerical integration. What she is saying (in an abstract sense is that analytical, closed form methods don't exist for the integration she needs to do. Before computers, this was a problem, for, while numerical solutions existed, they were painful and expensive (in man-hours) to pursue. With the advent of computers (as she is illustrating in this scene), suddenly the old ways (well, some were old) suddenly got a new lease on life. It is a great idea only a comp sci geek would have thought of. Orbital mechanics is full of calculus; Newton had to invent Calculus (one branch of it, anyway) to prove his theory of Gravity explained Kepler's laws of planetary motion.
The problem is that the chalkboards don't contain a single integration sign (it is a tall stretch-S thing with numbers at the top and bottom, followed by a math expression and usually with a "dx" following - there's one on the first page she opens to in the book) on them. The second page opened in the book contains differential equations in a derivation of the method, but on the next page you can see where the next section after Euler's method is the Runge-Kutta method, an improvement on Euler's.
Euler's method will give you bupkis unless used on an integration problem. They throw a few radicals and lots of numbers, an occasional pi and trig function, a few Greek letters and other essentially meaningless stuff, most of which is amenable to immediate reduction with slip-sticking (are there actually any slide rules in the film? Every engineer had one, or several, until HP obsoleted them in about 1976; my well-worn collection sits on a shelf in my bedroom), and the producers expect it to be enough. Any sophomore physics or engineering student could have done a better job at decorating the boards.
Euler's method IS specifically applicable to systems of first order differential equations.
Such equations involve a rate, for example speed, or [distance travelled] /]time], often expressed as [dx/dt].
For a body in orbit, dx/dt would be a function of such things as:
gravitational acceleration, of not just the earth but also other nearly celestial bodies.
other acceleration, such as rocket thrust
atmospheric drag
weight, which may need to be continually recalculated due to fuel consumption
None of these would normally be described using a integral formula.
Now it may be that Euler's method can be used to numerically solve problems for which the applicable formulas do include integrals. But that does not in turn imply that an integral is a necessary ingredient of an Euler method application.
I remember screaming yay!!! Lady!!!, we were introduced to Euler's in 8 or 9 th grade, our teacher loved it we hated it. This movie made me respect Euler and scientists even more, it made me realize what true hardship, bias looks like.
It is some of the hardest calculus to wrap your head around but is essentially the doorway to finally "getting it".
Imagine being so good at math you invented your own methodo of solving it. They name it after you.
Imagine how much more brilliant these women would have been if they had the corresponding privilege...
It’s a movie.
Based on real life
I agree but a lot of the time it’s the Suppression and the hard ship people suffer that help push them to be as great as they are. If they had the equality that any human deserves then they might not have worked as hard to become the brilliant minds they were. But regardless no one should ever be or ever have been treated they way they were :(
Imagine how much more peaceful we would all be without the constant whining and blaming of cultural Marxism. Sit down.
We really liked this movie. Unsung heroes, they make the world go round.
Astronauts, Presidents, Board Leaders, Coaches, Top Executives
We know these people in some fashion. Their names leave a lasting mark on our subconscious. But unsung heroes, we never think about it. The ground crews, the engineers, the mechanics, the program writers, the architects, the builders, heck cement truck drivers. If they don't do their jobs in a timely manner that lets a project be completed, nothing in history would be as it is now.
Jeeesh... No hope for this one.
I got half a day a of school off to watch this movie, and I loved it!!!
I love how she solves it, then gets told to “type it up”.
Sheldon, is that you?
Omg!!! Sheldon did make it into nasa
You know someone is good a math when they show up Sheldon Cooper 😂😂
Literally learning about this right now in calc… knew they reference right away
0:49 When they realize they aren't even in the same league as her.
It's funny how I'm so intrigued but I don't have any idea of what's happening
I'm obsessed with the soundtrack
love this scene!!!!
Bottom line is she played the role of the one of the worlds most brilliant minds!!!!
Sheldon looks normal here it feels weird
Math is always dependable. True words.
OMG SHELDOM I DIDNT EVEN REALIZE WHEN I FIRST WATCHED THIS MOVIE I WAS SO FOCUSED ON THE WOMAN KICKING ASS
Uh, what? Euler's Method is taught in every basic sophomore year differential equations course. It's a flagship technique that literally everyone that works in the physics or mathematics or engineering knows about. Why would this seem so brilliant? In reality, the mathematics used by Johnson for this task was undoubtedly far more complex.
Katherine Johnson was a computer at NASA in the 50's. A time where most Engineers were taught Engineering by professors with the knowledge equivalent to that of a High School Teacher, in a time when Google didn't exist, and there were no set parameters for these situations. It is highly likely that thanks to Mrs. Johnson Euler's Method was brought back into standardized use. Homer Hickem who like Mrs. Johnson, was lightyears ahead of his time, had to teach himself Telemetry, by way of a Calculus book even Ivy League Universities weren't yet using.
ASRIBEIRIO Everyone today. Back then, science and math were subjects for rich college people. They weren't taught in high schools, at least not at this level.
This shit never happened, this is "based" on actual events, meaning its pure fiction, Do you really think this woman was a better mathematician than a room full of MIT engineers? This film is pc PROPAGANDA
This episode never happened, or at least there is no record of it happening, the screenwriters took a ton of liberty with truth I believe. These days in Hollywood, the term "based on" actual events means fiction. This film was just PC propaganda, sorry to burst your bubble.
Exactly, this is why this film is so absurdly unbelievable.
Aint that something watching a women give a whole room of male rocket scientists a math lesson.
It happened. Not as dramatically, but it happened. Look up the story of Percy Lavon Julian some time.
sayres99 And The only women besides her is the secretary.
Amazing how none of this happened