ahmet

first, the perception and consciousness are different presumably. (But I am not sure really) hearing,smellinga and tasting are all different ...but as far as I know hearing is being occured almost wholly different. because in normal action (except cardiac system (check please the relevant context ** funny current)) Na-K is working but again as far as I know ,this happens in hearing system conversely to whole of body (except cardiac system**funny current) there are spcific receptors for each

could you provide more context please, among my notations I can find "hyperplanes" for you but not exactly hyperdimensions. however,I recommend you not to leave from reality whenever you work.

and you give yourself a reasonable explanation but do not give the same opportunity to other people. What a selfish manner anyway, I am very busy with more important things to do,and do not consider to reply further.

these are already known.(because you are mentioning very basic subsubjecs but I am not sure that that man knows all these instructions (in maths) meanwhile,I think I can add some more (like ,separable spaces, first class spaces and 2nd class spaces, Lebesgue integral space) ....

as it said, my hodja means someone who was "hodja" from my BSc.(not my friend exactly) however, I am about to accept/assume that do not understand / differentiate some terminoogy in matematics. because I did not use "continuous everywhere" ,where is that? ,I used "continuous almost everywhere". in anyway, I might consider studying a bit physics more. because I have not understood what swansont meant very well and / or what the criteria were ,for a description to be accepted as "physical" ...

if I understand you correctly , you... presumably want something that allow us to make any physical experiment or have a consciousness by our 5 sense organs. if so, or something like this. Then yes. assume please there are two flat mirrors each are in the opposing each other. (but think two cases) (to me,you could find the similar contexts in either examples among the discussion) 1) the mirrors are two circle mirrors and here our radius is infinity. 2) in this second case. assume please the the mirror are in rectangular shape. then two subcases exists. 2a) assume please the angle between these two flat mirror is 180 degree. 2b) assume please you are playing/changing with angle (only between -10,+10) what will you see? this is the tunnel and the frame. the inside of that rectangular frame is infinitive , but the count of frames are also infinitive. you see the frames each.then it has been experimentally measured and mathematically can be formulated. for mathematical appearance and formulization give a variation to the distance between each consecutive frame. (you see them) and our function is dst(x) = {x, x= distance between each consecutive two frames} then Kpl(t)= {t,t= count of domain set of dst(x) function} .....

that functional expression is equivalent expression of f(x)= | sgn(x) | ,x is the element of R. I understand. I was more trying to judge the claim that swansont had given. What does "physical" mean ? (for an expression) (what is the criterion?)

mmm,maybe I might change my idea. because I remember at one of my BSc class that one of my hodja was using something like this: "continuous Almos at everywhere" but again I am sure on one thing. to make it in the conformity of mathematical sense, you need to formulate it. and I do not remember the formula of that things he said (given above) mm yes presumably I am correct in this expression. because when I asked to google what "continuous almost everywhere " means ,it returned me this quotation given below this explanation includes one important keyword "measure" thus it is presumably relevant to real analsysi ("measure theory")

I am not sure what you meant here. but this might prove that it was physical (or in other words,it might convince you). (I could not be sure whether it complies this forum's rules ,therefore I am uploading the picture instead)

hi, [math] \frac x^{2}{1^2} - \frac y^{2}{\frac {1}{ \sqrt {92}^2} [/math] and this is just hyperbola's equation. therefore, it is one of quite simple curves

I do not imply the mirror ,but .. the appearances you will obtain ,will have at inifitive count.

well, assume please you use two flat mirror one is just at the opposing side another.

I think it is physical,too. because I think I can examplify it..

to me,,"almost infinite" definitely does not make sense at this stage. but if we were implying some contexts,for instance, in real analysis (some relevant subtitles would be : lebesgue integral, limits specifically in this context, lebsgue space,etc.)then I m not sure.

concerts seems logical but not so much 🌙, and I do not think that todays musicians are able to ern money via selling cd/mp3 ..I also think that my 7 years old cousin almost will not learn what the cd is. It is odd ☢️ thanks for the information. and are there any statistics taken from youku?

are there numeric expressions to clarify the case? For instance if we assume that between 5000000-500000000 yearly watch target how much money will this bring as income?

I think you can find some contexts in Schaum's Outlines / Linear Algebra. (book series) if you would like to further improve yourself,then I can recommend Algebra for you under the same source series.

hello, I believe I am a good composer and music producer , but unfortunately currently this consists of only a belief. but as you know,all we are trying to implement our plannings and or the things that we imagine. Therefore,I am planning to fly to romania. as far as I know ,they are good in popular musics. have you any recommendation for me? I shall try to remain open to ideas...

I understand. physics and mathematics are different disciplines. as a matheatician,to me,if you would like to do mathematics ,then you need to concentrate on definitions and theorems.

if you meant the derivation function,then your implication is incorrect! because [math] f(2x)=f((x^{2}+c)') [/math] but [math] 2x \ne x^{2}+c [/math] if you meant whether 1-1 is equivalent of this proposition (given below) ,then yes! "f(x)=f(y) --->> x=y" but if you are asking whether ,being well defined is equivalent meaning of 1-1 ,then no. let see one example given in the figure.

you can use other constants that I did not write. (e.g.: one of other curvature might be written as: x^3 + b ...) but this should be written like something this: [math] \frac {x^{2}}{a^{2}}+\frac {y^{2}}{b^{2}}+ \frac {z^{2}}{c^{2}}=1[/math] this is elipsoid, but I can't find the correct equation for that curvial object above. oh,my hodja from my BSc has replied just now. this thread can be closed ... thanks to my lovely hodja.

no.

could someone help me please,I need this object's mathematical expression in cartesian coordinates.(The drawn area 3d coordinates please) Thanks in advance.