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.
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 😉
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.
@@simonepazsimon7219 It's pronounced "Oiler" Here's a video about the pronunciations of a lot of famous mathematicians (and Physicists) names ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-4Xp4F1h0YZM.html
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.
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.
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.
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!!
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
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
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.
...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.
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).
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.
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! 😂
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 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.
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.
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.
@@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."
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...
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.
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.
Remember this generation of scientists grew up with, and were probably still using, slide rules to do calculations and approximations. The idea that they would not be fully conversant with Euler's method is ridiculous.
I love it when, at the beginning, Katherine seems to lead the discussion and everybody pays attention to her every word, as if saying, "She knows this down from A to Z!"
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.
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.
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.
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.
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.
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.
There is no way the real problem for NASA was trying to find an analytical solution for the maneuver, while the solution was solving it numerically. That's like telling a Master Chef, "why don't we try adding salt?"
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 :(
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.
The man who took mankind to the moon was the german Wernher von Braun, the first director of NASA Marshall Space Flight Center. Von Braun was the man who launched the first man-made object into space on 02.10.1942. She simply typed other people's programs on punch cards to feed into the mainframe computer.
A cursory search for information about Katherine Johnson shows that your dismissive "simply typed other people's programs on punch cards" is not correct.
@@d.l.etheridge9379 I know. In five years, Google will show that Katherine Johnson was the leading programmer of NASA, and in 10 years, everyone will "know" that Katherine Johnson was a visionary who dreamed of flying to the moon since she was a child and single-handedly launched NASA's lunar program. This is called brainwashing.
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.
-someone’s just told me what year they were born. I should subtract the year they gave me from the current year in order to find out their age. -Subtraction? But that’s ancient.
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.
Do you not have a single physicist, applied mathematician or engineer on your team? Euler's method is like the first thing used when one decides to get the behaviour of a difficult differential equation without going through the hassle of solving it analytically. And btw, if Euler's method is ancient, so is everything else on that board. The laws of celestial mechanics have been known for quite a while now
Perhaps so, now that you have computers fast enough to do millions of operations per second, making short work of the number crunching Euler's method entails. The characters in the movie did not have that capability available when they were being educated, and had not considered how computers could be used to apply Euler's method to solve such problems quickly. That's the whole point of the scene.
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!
For anyone curious, the end of the page that she was looking at was about “Modified Euler’s Method”, also called the “Huen Method” of approximation for differential equations
It would be interesting to know what method(s) they actually used... I mean Runge & Kutta did their stuff on numeric ODE integration around 1900, so it would not be implausible that the knowledge had found its way into the Math know-how of the US by the 1960s (in particular as the Sputnik scare caused the US to greatly increase activity in publishing Math textbooks and Math education at all levels...)
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.
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..
@Paul Kryder if you can't rederive Euler's method in your head in less than 15 seconds and you work at NASA as an engineer or mathematician, you should be fired immediately. This scene is beyond comical
It's not about math. It is about Hollywood trying to brain wash people into thinking that blacks are intellectual and have made these great contributions to our history. Which, of course is all PCBS
The should name something big after that woman, can't imagine the disrespect she had to endure while doing such a magnificent job. Still hurts to watch.
I know this scene was supposed to be like grandiose and inspiring but it just feels so fake and sloppy with them just saying all this about an "old method"
