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Everything posted by ahmet

  1. thnak you for suggestion,I had better read the books you provided here and similar books. Because I hope I shall see the proofs of claims (e.g. if this is regular continuous then ...(it will show me))
  2. thank you very much for your suggestions. I do not deal with theoretical explanations anymore or they are not so much important to me. generally books in mathematics are following these scheme: theorem proof lemma proof corollary but here examples are very important to me. I try to analyze them. mmm, some samples of books would be very good if those books include graphs of such functions. (e.g. a differentiable function f(x,y)= x.y , this is just one example for differentiable function or [math] g(x,y)=\frac {e^{x^2-y^2}}{1+sin^4(x^2+3xy+y^2)} [/math] is continuous at everywhere. but I need many many examples. Graphs would be very nice (if exists)) sorry for the occasion if I am doing a mistake but I just thought that complex analysis and basic analysis would be very different branches of maths. (normally these examples (if we divide into two categories) will never appear in same book or any else literature imo. ) but you might be right because the expression of wishes seem similar.
  3. pahaha : low reliability in the video but still laughing...:) hahaha hahaha
  4. that examplify with broad view of: ** simple functions (exponential, trygonometric, hyperbolic, logaritmic, inversed trygonometric and hyperbolic) ** riemann surfaces ** differentiable functions ** Laurent series (all types) **C-R equations ** conform transformations Note: preferred language is English but (if it is not againts the rules of this website) sources in russian ,arabic and turkish and are also welcome. (theoretical explanations such as lemmas,theorems,corollaries are not needed (should not be emphasized or concentrated on.)) Thanks
  5. Dear maths lovers I need sources that classify functions/sequences or functional sequences (in broad view (wide count of examples)) ,such as; *** convergent functions / sequences *** divergent functions / sequences *** differentiable functions (>1 variables) *** differentiable functions (>2 variables) *** regular continous functions *** continuous functions *** integrable functions *** lipschitz criterion satisfied functions *** cantor theorem satisfied functions *** regular convergence (functional sequences) (note: thesis and/or books are preferred ,because the soruce(s) I look for should provide broad view) Thanks in advance
  6. I recommend thinking via "approximately multidimensional approach" ....to respond this query what does this mean? in fact, the demonstration belongs to me (i.e.: there is no such thing,but I demonstrate it,follow---->>) multidimensional is a core keyword here: means some obtained functions (e.g.: having knowledge about more than three languages (e.g. german,english,spanish,chinese) and having knowledge about more than three disciplines (e.g: maths physics chemistry biology) I know that all these are difficult but not impossible. I used approximately ,because in fact there should be no limit regarding both disciplines and languages. .....
  7. no,not thoroughly. Because there are some contexts in science of education (but I can't provide sources in english before making a research,most of sources that I know are in turkish relevant to this issue ) but succintly : covid 19 is only a trigger or an indirect tool for this. the contexts that I imply on this issue claim that some more realistic and more modern usages should be available (this system presumably/probably is called as "constructive/contemporary education system" in english)
  8. ok. I provide one observed report to ensure you understand more clearly. Once coronavirus deteceted and it had been a pandemic issue many countries announced that the some educational processes would not go on as in its normal system. although turkey intented to continue in its normal process after a significant amount of time,the system has not started or continued normally but one thing continued: "distance learning." now,I am not sure whether everything would be same even if the cure or the vaccine of this disease be found after an undefined/unknown time period. meanwhile, there is no effective result in the current case to say that disease has been eradicated. I also believe if the pandemic is not a planned action, its cure or vaccine might take very much amount of time to be found,this is the reason why the humanity could not find the cure or vaccine for HIV. anyway, this is another disccussion here, as the time for cure or accine to be found is unpredictable, can we really say that everything would be same (specifically for education)?
  9. what do you think about this issue?
  10. I disagree to this idea. generally if you are hardworking one,then you will eventually find your way, but nevertheless if you work at a theoretical area, then to me, your chance is smaller. I think computer science is more advantageous. if you have suitability to be a contemporary educator or scientist ,then you will already have option to learn by yourself.(i.e.: you will be able to continue (independently) in mathematics) but in general ,the applied sciences are more advantegous to earn money than theoretic sciences. one more addition: statistics is known as "applied mathematics" in some universities, applied mathematics cannot be limited with statistics though.
  11. ow,I think I found or I can find many just being relevant and responsible one is sufficient this therad can be closed or deleted.
  12. hi, I feel myself at some stages still new. but Although all articles that I scanned contain "results" section with numeric analyses (e.g. manova's or other spss analyses), I do not know whether such types of analyses are mandatory or numeric or graphic representations. I mean only for theoretical articles. hımm yes,at a time I remember one article at a known journal presumably with no discussion and results (in fact the tongue was wholly speculative) but still unsure whether such telling methods can be acceptable by good journals.(here by "good" I mean wide IF and indexed databases, as much as possible) could someone show me articles with no numeric/analytic results in social science and /or arts and humanity sciences? thanks
  13. thank you for this post. I really appreciate if the content is cared at any school. here in turkey the program is generally too much theoretic.
  14. no (more) questions ,I just tried to understand what you meant
  15. I think almost all parts of mathematics have intersections (even topology and functional analysis with algebra) ....
  16. I can guess many things really such as Algebraic closure, closure in topology and analysis , and functional analysis...
  17. in mathematics, closure can correspond many things.may I ask: which type of closure do you meantion here?
  18. hi, no, both this website and subforum are correct location for discussion but I meant two things: i. I recommended that you check algebra (general) and number theory contexts (i.e. books, aricles or notations) ii. other approaches would potentially be off topic. some other mathematicians' ideas would be good here, because I might have forgotten some theorems or maybe I do not remember all of them.
  19. to me,I have not seen rational contexts for these explanations. but not sure. maybe some other mathematicians' idea might be suitable to make more clear explanation. for a general redirectory or recommendation: I suggest that you follow general algebraic contexts(this means that this thread can be analyzed under algebra and number theory)
  20. I think that generally "thoughts" are issue in philosophy, but not the definite things so much or not strict decisions. but simply philososphy can be defined as this " to think about things that we see or perceive or have consciousness about" thus, while the density exists (so maybe quality) , I am not sure whether " bad " or "good" is a good or acceptable description for itself.
  21. hi, may I ask; "when we would like to give reference(s) to our any claim(s) ,then do we have to give our reference(s) in english ?" thanks
  22. ahmet

    regular region

    x is a parameter here.
  23. is there such a definition in the content of integral account/calculation courses or in the content of calculus? I remember something like this: [math] \int^{v(x)}_{y=u(x)} f(x,y)dy [/math] if in this integral [math]f(x,y)[/math] function ( [math] \alpha \leq x \leq \beta [/math] and [math] a \leq y \leq b [/math] ) is derivable in the D region that characterized with the given inequalites in the paranthesis,then this region would be called as "regular region" but I am not sure about the exact definition could someone provide some more context about regular region (if possible)? thanks
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