TE
科技回声
首页24小时热榜最新最佳问答展示工作
GitHubTwitter
首页

科技回声

基于 Next.js 构建的科技新闻平台,提供全球科技新闻和讨论内容。

GitHubTwitter

首页

首页最新最佳问答展示工作

资源链接

HackerNews API原版 HackerNewsNext.js

© 2025 科技回声. 版权所有。

Mathematical Equations That Changed the World

75 点作者 ibsathish大约 11 年前

20 条评论

oskarth大约 11 年前
Interesting. But why on earth is Black-Scholes equation on that list? It's not like Long-Term Capital Management took over the world with it. It's a fragile model and does not deserve to be on the same list as these beautiful and useful ideas.
评论 #7370368 未加载
评论 #7369753 未加载
评论 #7369740 未加载
评论 #7369663 未加载
评论 #7369562 未加载
评论 #7370945 未加载
评论 #7369677 未加载
greenyoda大约 11 年前
It's pretty worthless to just present a picture of these equations without any explanation of what their significance is or how they "changed the world". The image format is particularly bad since you can't even copy/paste the text into a search engine if you want more information. Twitter isn't really a good medium for presenting mathematical and scientific concepts.
评论 #7370222 未加载
namenotrequired大约 11 年前
Large image: <a href="https://pbs.twimg.com/media/BiTPlBKCMAARAAw.png:large" rel="nofollow">https:&#x2F;&#x2F;pbs.twimg.com&#x2F;media&#x2F;BiTPlBKCMAARAAw.png:large</a>
dmunoz大约 11 年前
For a bit of perspective about these equations:<p>I only have a bachelor of science degree with a major in computer science. Mostly through my interest in physics and mathematics, and hence the electives I took, I have a somewhat intimate familiarity with all of 1-5, 9, 13, and 14. I have at least basic knowledge about 7, 11, and 12. I have no idea, really, about 6 and 15-17. I&#x27;m a bit embarrassed about #15, given what I do. I have heard good things about Shannon&#x27;s original paper, so I should give it a read. The ones I never listed fall into a half-half area, where I am aware of their meaning, but not very familiar with them.<p>At the university I obtained my degree from, just as I was graduating they were removing the requirement for computer science majors to take 6 credits in third or fourth year mathematics courses. All that is required now is first year calculus courses, with linear algebra and statistic in second year. The credits are moved to electives, so interested students can still take mathematics courses, but I feel like few of them will.<p>It was posted elsewhere in these comments that a proper treatment of these equations is found in Ian Stewart&#x27;s book &quot;In Pursuit of the Unknown: 17 Equations That Changed the World&quot;. I had heard of this previously, and now look forward to giving it a read.<p>Edit: To be clear about something, plenty of my knowledge of these equations came from my choice of electives in second and third year physics courses. So, my moaning about the removal of required mathematics credits isn&#x27;t precisely relevant.<p>It was one of the few major disappointments of my time at university that I didn&#x27;t get to take the proper course in electrodynamics (equations in 11). I have always meant to obtain Griffiths&#x27; text on the subject and give it a fair shake, and still plan to do so. Entertainingly, I looked it up quickly on Amazon and see they released a fourth edition in 2012, which has mixed reviews and seems to suffer from the usual publisher hijinx.
评论 #7369602 未加载
alister大约 11 年前
This list is the basis of a book by the same author:<p><a href="http://www.amazon.com/In-Pursuit-Unknown-Equations-Changed/dp/0465085989/" rel="nofollow">http:&#x2F;&#x2F;www.amazon.com&#x2F;In-Pursuit-Unknown-Equations-Changed&#x2F;d...</a><p>It&#x27;s extremely easy to find a free PDF download of the book. I&#x27;m assuming the free PDF has been authorized, how does one even tell these days short of contacting the author?
评论 #7370267 未加载
cschmidt大约 11 年前
A nice list, although I&#x27;d quibble a bit about dS &gt;= 0 being on there. That entropy increases is important, but the equation itself doesn&#x27;t really have a mathematical relation like the others.
评论 #7369426 未加载
a_olt大约 11 年前
No. 16, &#x27;Chaos Theory&#x27; is actually called the &#x27;Logistic Equation&#x27; and it is used in biology to model populations. It does exhibit transition to a chaotic regime for certain values of k, but it&#x27;s improper to refer to it as &#x27;Chaos Theory equation&#x27;.
评论 #7369669 未加载
daeken大约 11 年前
Interesting as this is, #13 is not &quot;Relativity&quot;, it&#x27;s the mass-energy equivalence.
评论 #7369490 未加载
评论 #7369609 未加载
noobermin大约 11 年前
As a grad student in physics, I&#x27;d vote for the inclusion of the Dirac equation or Klein-Gordon (can&#x27;t put the whole standard model in there) and may be the Einstein Field Equations.<p>Other than that, I agree with most of the list. I haven&#x27;t heard good things about Black and Scholes, though.<p>EDIT: Oh, and I thought of another. No doubt: [X,P] = i h&#x2F;2pi Definitely more important than Schrodinger.
ColinWright大约 11 年前
See also: <a href="http://www.youtube.com/watch?v=KGpb3_XkEvg" rel="nofollow">http:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=KGpb3_XkEvg</a><p>Submitted here: <a href="https://news.ycombinator.com/item?id=7291571" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=7291571</a> - although no discussion.
评论 #7369689 未加载
javajosh大约 11 年前
It&#x27;s really, really strange to me that F=ma is not on the list. Also very important, but missing: Hooks law, Ohms Law, the Ideal Gas Law. The binomial theorem and Taylor series are just as important as Fourier series, if not more so.<p>A very strange, almost arbitrary list. Thumbs down.
pge大约 11 年前
What about e^(i*pi) = -1?
评论 #7369289 未加载
评论 #7369293 未加载
评论 #7369647 未加载
albertyw大约 11 年前
Fourier Transform equation is wrong. Integral from infinity to infinity? That doesn&#x27;t make sense. It should be negative infinity.
spitfire大约 11 年前
Where&#x27;s the simplex algorithm? Optimization has had absolutely astounding effects on the modern world, but it&#x27;s missing there.
评论 #7369551 未加载
tanvach大约 11 年前
Black-Scholes&#x27; is a big deal in economics and finance. Their innovations were risk-neutral pricing (the r terms in the equation) and replicating portfolio argument. These completely changed how to price all securities you see, not just options. The idea was so radical their paper was unable to be published for years.
Xcelerate大约 11 年前
In my opinion, the Schrodinger equation is by far the most important. It provides an accurate prediction of almost all earth-scale (and smaller) phenomena except gravity. Although I suppose some of the heavier elements require KG or the Dirac equation to account for relativistic effects.
iandanforth大约 11 年前
Poorly documented functions which use single character variables. Maths notation is great for brevity but fails utterly tests for readability and ease of comprehension.
评论 #7369593 未加载
评论 #7369465 未加载
评论 #7369603 未加载
NAFV_P大约 11 年前
Where on Earth is integral calculus?
pmtarantino大约 11 年前
As is presented in the image, teh Second Law of Therm is an inequation.
alexjab大约 11 年前
well #3 has got a typo in the formula, and #5&#x27;s title is kind of misleading...
评论 #7369506 未加载
评论 #7369564 未加载