5/31/2023 0 Comments Mindomo large icons![]() Working with a software tool like Mindomo will help you to organize better, deal with more information, and integrate it more effectively than passive reading and reliance on memory. Being aware of the steps in someone else’s learning process leads to awareness of your own. While you are studying, you should always ask yourself how you would explain it to someone else. When you make notes about something in your own words or manipulate ideas and information in a diagram, you practice explaining it to yourself. Every time you practice, recall gets easier. You can write about them, answer questions about them, draw diagrams of them, explain them to others or even explain them to yourself. You might assume that only physical activities can be practiced, but there are many ways to “practice” abstract ideas to help you to internalize them. You are best at remembering the things that you do. Learning is a process and requires practice, not simply exposure to information. Even if someone could find the words to explain how swimming works, and you memorized all of it, you would be unable to translate it into effective action without practicing it. It is impossible to learn how to swim by reading books. For example, you may have learned to swim through physical trial and error. ![]() You are more likely to remember information for the other reasons listed above. You do not need to understand the theory behind them – you just know them as facts. Typical examples are the letters of the alphabet, months of the year, family birthdays, your bank card PIN, or multiplication tables. There is a limited number of ideas that you can learn by heart. You understand the theory behind them well enough to see patterns and make predictions.You have “learned them by heart”, through endless repetition.Your brain is not just a sponge that can soak up and hold unlimited amounts of information.
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5/31/2023 0 Comments Infinitesimals in r![]() There is quite a bit (or a lot) of history behind it. What is an infinitesimal? What is a differential? – GlynĪs I noted earlier, the philosophical/logical questions surrounding the infinitesimal are, basically, beyond my expertise. 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. 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Once you've done that (or if you've done that already), you will receive an email from Square Enix. It previously wasn't available for purchase during the expansion's Early Access phase, but it's now up for grabs for anyone who wants to buy the full game.įirst, be sure you've purchased the Collector's Edition of Endwalker. The Arion mount is a special bonus that's only available to Final Fantasy XIV: Endwalker Collector's Edition buyers. If you're interested in flying around the land on one of these mounts, there's a very simple quest you can follow to receive one. It resembles a winged pegasus that calls to mind the subtle beauty of a statue. The Arion mount is a gorgeous steed you can ride around on as you make your way throughout the outer corners of Eorzea. How to get the Arion mount in Final Fantasy XIV: Endwalker Log in, queue up (it might take a while), and let's go grab a horse. 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