If you are still interested in receiving a copy of my resume, please let me know. It’s been fun exchanging a bit of math with you. Sorry, if I have used too many words to express my thoughts. If we treat dy and dx as infinitesimal quantities such that dx≠0, and yet exceedingly close to zero, then we may treat dy/dx as a fraction. Now, granted ∆y/∆x is indeed a fraction as long as ∆x≠0, which latter condition is the case at all times, anyway. Or, sometimes we write dy/dx=1/(dx/dy) or in the chain rule case: dy/dx = (dy/du) (du/dx).Īnyway, getting back to the point, the symbol dy/dx represents – MORE THAN ANYTHING ELSE – the limit of ∆y/∆x, where ∆y = f(x+∆x) – f(x), as ∆x approaches zero, if the limit exists. As mentioned, this happens, for example, when we want to find the differential of a function f(x) as in dy=f’(x)dx. In fact, when it comes to practicality, we treat dy/dx as if it were a fraction. This area of discussion – as exciting, rigorous and important as it is – is beyond my expertise. But there is and has been a whole lot of philosophical/logical debate as to what an infinitesimal actually is. You can treat them as (infinitesimal) differentials. That’s my point! I did say I could say more. Why do you reject dy/dx as a fraction - a ratio of differentials? You said you could say more on the topic … Cheers, Glyn Hi Albert: I accept your history but not your math. Please feel free to ask further questions. But I will leave it at that at this point. This symbol was invented by Leibniz, the other contemporaneous inventor of the Calculus. So, the symbol dy/dx represents a single idea-the idea of the derivative. The symbol dy/dx represents the derivative of (the function) y with respect to x. The symbol dy/dx … does it represent a fraction or a whole symbol? Please feel free to let me know what you think about my proposal. I’d be glad to email you a copy of my resume. I wonder if I can be of use to your organization. Given my credentials, I can expertly and confidently teach many of the subjects (especially the mathematical ones) in your curriculum. I have two Masters degrees, one in Pure Mathematics and the other in Mathematical Finance, which is equivalent to Quantitative Finance or Financial Engineering. I have been a professor of mathematics for some twenty (20) years in a community college. ![]() It would be an honor to be associated with a winner such as your company. Saving Earth Britannica Presents Earth’s To-Do List for the 21st Century.Your expertise and services, as laid out on your web site, are quite impressive. ![]() 100 Women Britannica celebrates the centennial of the Nineteenth Amendment, highlighting suffragists and history-making politicians.COVID-19 Portal While this global health crisis continues to evolve, it can be useful to look to past pandemics to better understand how to respond today.Student Portal Britannica is the ultimate student resource for key school subjects like history, government, literature, and more.This Time in History In these videos, find out what happened this month (or any month!) in history.#WTFact Videos In #WTFact Britannica shares some of the most bizarre facts we can find.Demystified Videos In Demystified, Britannica has all the answers to your burning questions.Britannica Classics Check out these retro videos from Encyclopedia Britannica’s archives.Britannica Explains In these videos, Britannica explains a variety of topics and answers frequently asked questions.
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