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slomobile

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About slomobile

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  1. Thank you for the book reference. The topics do align with what I am studying. I agree with most of the observations, but the places I disagree are the core of my motivation for the study. "Most of what we take for granted is culturally motivated." I agree. "A culture... existed before he was born, and will continue to exist after him." Has been true throughout most of history. I question whether it is still true. The industrial revolution may have been the last "cultural period" that lasted an entire generation. World war changed culture everywhere. 50's rebuilding establish
  2. @Col Not Colin and @wtf thank you. That interaction was exactly what I was looking for. I appreciate the further external references. Non-Standard Analysis is still above my head, but I will be drinking it in over the next few weeks. That was part of the plan, to observe a mathematical conversation I do not understand. Then systematically research, and record all the foundational concepts I need to add to my repertoire to achieve some functional level of understanding. It is a step change in my understanding. In general, step changes are revelatory when examining complex dynamic systems
  3. I definitely prefer "Distance is proportional to time" over s = ut, but introduce an additional concept like constant acceleration and one requires equations and units to relate to other concepts like average speed. Wouldn't it be nice if there were an intuitive ubiquitous system to quickly sketch free body diagrams with the limited information you have and the system generates all the standard equations and allows you to cherry pick the output information you require in terms of whatever variables you failed to specify? v^2 = u^2 + 2fs, s = (u + v)t/2 are filled in just in case you need th
  4. @Col Not Colin, good insights. The existing forums do provide a host of examples and I will use them. It just occurred to me that many forums 'sticky' guidance on how to ask good questions in order to get good responses. I would appreciate a metric that can be programmatically applied to the mass of forum posts to extract good posts worthy of attention. Perhaps the stickied advice can be turned into an algorithm. I like https://cr4.globalspec.com/ forum and the way it uses votes to rate posts as good and almost good. Throwing ML at it, treating the posts and votes as training data might
  5. Thank you, these answers are useful,. They are however the low hanging fruit, as it mirrors the history of teaching basic math concepts, which I already have access to. I would love some examples of professional math communication between adult peers (assumed similar level of education, but disparate experience). Those are data points which I do not have alternate access to, but which I assumed would be plentiful in this forum. The answers thus far have exposed that the more difficult math concepts to communicate will be those that lack personal usefulness or familiar analogy. No
  6. That is fair given I am requesting anecdotal information. However, the "first principles' I am interested in are those required to COMMUNICATE mathematical information in practical, not academic situations. I am not interested in the math per se, but the form used to effectively communicate it. In order to determine the minimum elements("as simple as possible") required to effectively communicate math concepts, I must first establish the breadth of concepts that must be communicated so that I do not leave out essential but uncommon fundamental elements("but no simpler"). I fully expect to
  7. Yes, it is a weird question. Stealing fries is a useful communication of the subtraction concept. It is an example of what I am looking for. I am trying to get back to first principles in a field with a great deal of adopted convention. I'm trying to see if any of those conventions have become a crutch or shortcut for those in the know that slow or inhibit understanding by those unfamiliar or uncomfortable with the conventions. An example: Traditional single letter variables, even with sub- and super- scripts do not convey much information and require mental symbol substitution to p
  8. This thread is an attempt to quantify the methods used to communicate a mathematical concept to another person for the purpose of applying the concept. Each response should ideally contain: A single math concept, as you would present it to an inexperienced colleague in your field, who asks for help. Any additions that you would include for the average person. Optional comments. Provide as many examples as you like, including historical examples, but please send each as its own post for ease of evaluating responses. There are no restrictions on field or compl
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