Все-таки надеюсь, что в будущем не будет так трудно получить ответы на сравнительно простые вопросы на этом сайте. How can I pair socks from a pile efficiently? While there may be a higher degree of variation in spoken usage than written, that does not place the spoken language of mathematics outside the realm of objective discourse. It may simply be asking for the most common ways of saying something, rather than a qualitative judgment about which ways are best. a I don't think questions asked 4,5 years ago (when Math.SE was basically just created) really count as precedent. To get around this problem you can either declare the variables difficultWords, words and sentences using a data type that allows for decimals (say, double) or you can explicitly convert the variables to a decimal data type at the time of performing the division. Does learning the same spell from different sources allow it to benefit from bonuses from all sources? , You cannot avoid mathematical notation when reading the descriptions of machine learning methods. You will find you need more than 1 sum (nested for loops). Regardless of where I came across it, what is the plain meaning? Why does Ray Bradbury use "flounder" for an action with a positive outcome? Asking for help, clarification, or responding to other answers. {\displaystyle \in } It was amply discussed here that exceptions are possible for any number of reasons (and MO is big on that), yet this does not imply then an exception needs to be made all the time. But that is not what this question is mainly about. And S stands for Sum. @NajibIdrissi I don't consider that conclusive or relevant. A This is consistent with the examples listed in the OP, which show a high degree of tolerance for these questions in practice. ⊤ means the top or universal type; every type in the. This would be even more true if the mathematics were more advanced, in which case it would be hopeless to ask it on a language site. Sometimes it is the $n$th entry of an $m$-dimensional vector $\mathbf f=(f_1,f_2,\ldots,f_m)$. Use of "eben" – does it mean just, also or even? … By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. The full set cannot be enumerated here since it is, The Laplace operator is a second order differential operator in n-dimensional. As a mathematician, though, I do get resentful when Im associated with programmers or programming, but that is a different issue. , @EdwardZuckerberg it's not fit anywhere on the SE network AFAIK - a question "how do I interpret this mathematical notation" might be on-topic for the math.SE site, but I'm sure it wouldn't be well-received as this is an extremely basic topic which is already covered by a whole range of material on the internet (e.g. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. With the Unicode version, using search engines and copy-pasting is easier. Also, remember that when dealing with sets that are not explicitly given, strange things can happen - the set could be empty, the set could be infinite, and in fact the set could be uncountably infinite - think about writing a program that prints "all real numbers from 0 to 1.". If that means it is impossible to read mathematics without knowing what it means, so be it; it only needs to be easy to parse by the intended reader, who is usually a mathematically literate human being. What aspects of image preparation workflows can lead to accidents like Boris Johnson's No. and above the Sigma: But Σ can do more powerful things than that! I won't argue about programmers being bad at math, but I think the "particularly" is totally unwarranted ;). I'm coming from a programmers background, trying to learn more about physics. Are there theories about the end of the universe where time ends? Some were used in classical logic for indicating the logical dependence between sentences written in plain English. This can be extremely frustrating, especially for machine learning beginners coming from the world of development. @user1729 there are various similar questions that got closed on MO (true, also some more that are open). The most basic symbols are the decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9), and the letters of the Latin alphabet. [closed]. Coders also rely heavily on numeric values and get rounded and result in compounded errors; instead of the mathematician that manipulates abstract symbols for exact results. Often the terms are well defined, but there are also mathematical … (E.g., "What symbol do you use here?") How to deal with a younger coworker who is too reliant on online sources. whatever. Other, such as + and =, have been specially designed for mathematics, often by deforming some letters, such as A measure of spread or variation of a set of values in a sample population set. What are the mathematical/computational principles behind this game? Is it possible Alpha Zero will eventually solve chess? Usually $\sin^nx$ means $(\sin x)^n$ but usually $\log^n x$ means $\underbrace{\log\log\cdots\log}_{\text{$n$ times}}\, x$. In the comments to my question, I mentioned several other questions about similar topics, but which received different treatment. Describe implications. The answer you gave was in fact entirely satisfactory, and it took two lines. Sturdy and "maintenance-free"? For example, if one encounter your coworkers to find and share information. I guess the most natural anwer to "How can I improve my ability to read and interpret mathematical formulas in notation?" B Stack Overflow for Teams is a private, secure spot for you and How can I improve my ability to read and interpret mathematical formulas in notation? Programmers think to linearly. I would advise then that you do a Real Analysis course, only to get used to these notations, to mathematical logic and for the fun of it :). Indeed, the history of math is riddled with examples where specialists in one field held the solution to a problem that specialists in another field sought, but it was years before this was realized, simply because the two fields did not speak a common mathematical language! Serial close votes on pronunciation questions, Arbitrarily editing an asker's notation to fit your own preferences, About a question on formalising “interestingness” in mathematics. Want to improve this question? The former question also had many valid answers. symbolism? the index is just an index suchas any other index. This kind of approach seems more concerned with having a rule to enforce than having Math SE be a place where questions of interest to mathematicians can be asked and answered. Many sorts of brackets are used in mathematics. Can the use of several relations on the same left-hand side be abbreviated so that the LHS is only written once? As for your last link, IMHO Michael's question about (proof-writing) is much more mathematical then any of questions about reading sentences aloud. How do I fix a consistent micro-timing error? , Necessity of sudo while installing with dnf. List of mathematical symbols (Unicode and LaTeX). Why is "hand recount" better than "computer rescan"? In what context/setting did you encounter/read this in as it could be a lot of different things? How many of us have had students mired in a notational morass, essentially trying to outsmart themselves? How were the cities of Milan and Bruges spared by the Black Death? A mathematical symbol is a figure or a combination of figures that is used to … Coming from a programming background, mathematical notation can be troublesome - especially when dealing with indexing and sets in general. (Can also be written in text as   f ∗ g.). Why does Ray Bradbury use "flounder" for an action with a positive outcome? , The problem is that you cannot learn mathematical notation as though it were a programming language with a single, well-defined, fixed syntax where particular grammatical constructs always have the same meaning. I'm coming from a programmers background, trying to learn more about physics. Compared to programming (for example java, c/c++, c# etc), $f_n$ would be, The ratio of the offensive nature of your bit about programmers is proportional to its correctness ;). Dear user204305, indeed for some reason I've assumed you to be a native speaker [of Russian]. , If you're programming in the C family, it means the nth element of the array f. If you're programming in Haskell or ML, it means the function f applied to the list [n], whose only element is n. If you're programming in Mathematica, it means the function f applied to n. The meaning of $f_n$ in mathematics is similar.). Compare: a^2 + b^2 = c^2 to the "square on the hypotenuse is equal to the sum of the squares on the two legs". You ask what $f_n$ means devoid of context. Some of such questions should be posted, say, on Academia.SE or MathEducators.SE. How can I seal a gap between floor joist boxes and foundation? {\displaystyle \mathbb {N,Z,R,C} } Can a druid use Wild Shape in mid-air to survive being dropped? I do not accept your assertion that I would be more likely to get an answer on the Russian SE, particularly if the mathematics were more advanced. Category theory and arithmetical identities, Turning right but can't see cars coming (UK). What is the most efficient/elegant way to parse a flat table into a tree? Making statements based on opinion; back them up with references or personal experience. Why does Ukranian "c" correspond English "h"? Letters are not sufficient for the need of mathematicians, and many other symbols are used. user204305: Questions about how to read mathematical notation. How can I read this mathematical sentence aloud in English? In other words, you can use generators to describe groups simply, but you cannot rely on a finite set of generators to make a finite group. However I feel that in order for one to be truly accustomed to notation, you should read mathematics and try and figure out the notation as you go along. , And usually you have to read a book or article on the general subject. Update the question so it's on-topic for Stack Overflow. Are bleach solutions still routinely used in biochemistry laboratories to rid surfaces of bacteria, viruses, certain enzymes and nucleic acids? It might mean a lot of things. 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