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blue89

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  1. ~ IMPLICIT FUNCTION ~

     

    for any E set ,E ⊂ R3 ;

     

    F : E → R

     

    G ⊂ R2 , f function defined such that

     

    f: G → R , x3 = f(x1,x2)

     

    if f function provides every (x1,x2) ϵ G , F ( x1,x2,f(x1,x2) ) ≡ 0 equivalency , then f function will be a solution of F(x1,x2,x3) = 0 function.

     

     

    any type of f , g solutions which would provide x1= h(x2,x3) or x2 = f(x1,x3) equalities , will be implicit function for implicit defined function F.

     

     

    example 1

     

    x12+ x22 - x3 =0 equation ,defines only one implicit function on R2 as x3= x12+x22

     

     

    example 2

     

    x12+ x22+y2-= 0 , this equation defines 2 implicit functions on G = { (x1,x2) ϵ R2 : x12 + x22 ≤ 1 }

     

    f , h : G → R , y = f (x1, x2) = √ (1 - x12 - x22 and y = h ( (x1, x2) = - ( √ (1 - x12 - x22)

  2. No Specific type of music.

     

    I generally prefer to listen CRAZY musics

     

    if entertainment exists in any music ,please suggest it to me :) ,this is request.

     

    like this:


    **** * **** ELITE *** * ***


    this is no so much good ,but not bad when we assess its entertainment ..

     

    haha ha a :D :D assessment on entertaiment haha :D :D

     

    I bet, this thread is one of the the best thread in this forum.

     

    :D



    WOW !

     

    very good ,quality !

     

  3.  

     

    I'm virtually illiterate mathematically so I've no idea what any of those different distributions are.

     

    Don't worry ,or don't feel negatively.

    mathematics is nice area and entertaining.

    write any of them on google and study if you have enough time.

    note please , probability is never known as void subject or is never known as a type of probability which we detect via using our predictions/emotions in mathematics.

    every subject is systematic in mathematics.

     

    (we may find only probabilities ,not predictions in its actual descriptions) :)

  4. hi,

     

    I deteceted that I had written equation (in function form) incorrectly.

     

    the correct one should be

     

    x2 + y2 = r 2 ,z = c ( c є R or c є [a,b] (if we choose c = z ,then this will define calender )

     

    ok. I do not want to use best variable ,why if we would like to use a wave's whole equation , then this will be impossible.

     

    I am sharing some photos.

     

    post-116369-0-75801900-1472995101_thumb.jpg

     

    Rally ,I have written in parametric forms but no change again. (I as whether we might choose our R function just one of these equations above in picture)

     

    post-116369-0-50785000-1472995252_thumb.jpg

     

    yes, this one shows general usage of Divergence theore in math.

     

     


    wow , I should thank to @Klaynos

     

    it is exciting to use photos.

    I will be able to solve some questions (integral , functional..etc) without using symbols :) :-)


     

     

    But this is not integrating an equations, which you also mentioned.

     

    ok. I am writing equal expression via changing it so:

     

    f(x,y) = x2 + y2 , while z = c and assume please c є [a,b]


    ?? SENSITIVITY (A RESEARCH SUBJECT)

     

    I am not a physcist and as Nature - Physics mentioned ,I accept that I have not advanced understanding at basic physical contexts.

    But again ,I think we are unable to calculate something about waves ,for instance , the weight of light (wave) and/or the mass of voice waves may not be calculated, however this will be very important according to this thread's goal ,whether the exact equation of voice wawe's are writable

  5. Hi

     

    I'm trying to solve this :

    assume:  a*x^2+b*x+c>=0 for all x with a≠0 then
    have: b^2-4*a*c<=0
    
    
    

    but I couldn't. I proved it when the quadratic equation is greater than zero

    a*x^2+b*x+c>0 for all x with a≠0
    

    but not for greater then or equal to zero. So any one help in solving this please.

     

     

    you seem like you are missing something or we are unsure about something.

     

    look please this example :

     

    x2 + 4 = ax2 +bx +c , there a = 1 ( > 0 ) ( b= 0 no problem) and c= 4 , ∆ < 0 ( ∆ = - 16) (as you would) then look at the solution

     

    x1= (-b +√ ∆)/2 x2 = (-b -√ ∆)/2

     

    x1 = 2i x2 = - 2i both x1 & x2 ϵ ₵

     

    and how did you compare with zero ?

     

    ( when you say x1 ,x2 are >0 ??)

  6. I recommend that you make your question 's parameters suitable to one of these distributions to calculate probbaility

     

    --->> binomial distribution

    ---->> bernoulli distribution

    --->> nominal distribution

    --->> geometric distribution

    --->> hypergeometric distribution.

     

    -->> ..etc.any distribution which is not continuous and is the most suitable to your inquiry.

     

    Note : Although normal distribution has relation with binomial distribution under convenient conditions. you may not use this one.

    the best thing what you may do is to schoose one of distributions which appears above.


    note : I wrote types there very roughly.

  7. Please confirm the following with reference to my diagrams attached.

     

    Sorry for the quality of the hasty sketches.

     

    1)

    Mark off an interval, ab, along the x axis shown by lines through a and b parallel to the y axis.

    Draw in y1(x) and y2(x) as the bounds in the xy plane.

    This defines a surface (area) in the xy plane.

     

    2) Erect a z axis perpendicular to the xy plane showing the bounding area we are working in.

    I have shown this hatched.

     

    3) Erect rectangular columns over this area from xy plane to the bonding surfaces given by z1(xy) and z2(xy)

     

    This defines the volume we are working in now for your function R

     

    The general wave equation is a connection between time and space which introduces an extra variable we have not catered for (time)

    To take time into account we have to account for the flux of R crossing the volume boundary as defined above, as well as the waves already within the volume.

     

    A more restrictive wave equation is the time independent equation of standing waves.

    If the waves are standing there is no flux across the boundaries so time may be discounted and a simple spatial volume integral employed.

     

    attachicon.gifvolint1.jpg

     

     

    Welcome studiot. sorry for my delayed reply.

    and thanks for your comment.

     

    as I see a very good understanding about green - stokes - divergence theorems.

    Okay I appreciate it.

     

    Really I am unable to dominate this three theorem's well now (probably these three theorems are used in engineering commonly and broadly) . (I mean ,I do not know whether this question might make me reach my result which I am loking for)

    The more clearly ,I would ask that whether we may use any of wave's equation as our R function. (like this x2 + y2 =r2 ,z=z (note ,dim=3 there (z=z) )

    ?? : I am unsure whether these days we are able to write any such wave's (magnetic-voice waves') curve equation as given in cartesian form above.

     

    Note : I am not trying to make any relation with time and Dimension now. of course if we be able to find >3D ,we might have option to interpret about time character.

    but This will already be one of advanced goal (intellectual subject).

    so , you may think there the time parameter as static. (no usage in any equation for this thread)

    (I see ,you haven't missd this at your last two sentences. ok , think please it as only geometric standing.) (as flux of t is interrupted,only geometric approach now)

  8. I am drawing sketches sometimes, but for myself.

    To first know what to remake in 3D application.

     

     

    I was using f.e.

    https://en.wikibooks.org/wiki/LaTeX/Mathematics

    https://en.wikibooks.org/wiki/LaTeX/Advanced_Mathematics

     

     

    ok. thanks again. is there any document which I may download it?

     

    using LaTeX seems like being busy everytime with codes. isn't it a bit boring?

    but of course we will be in the habit later.

  9. mmm. ok. thanks very much for your ideas.

    Really ,I think it is pleasure ,especially when I feel free / relief this is quite pleasure. so ,I hope to make drawings as exciting ones.

    but of course , there will be sensitivity of measurement. (Sensei is right! )

    but again ,really it is pleasure.

    mm ,I had asked it politely to nature's help desk after opening this thread and sent them this photo . do you think it is incorrect asking such things?

     

    could someone share a document which tells how to learn LaTeX ?

     

    :(

  10. a window is being opened just now when I would use "paste" icon.

     

    and a notation is appearing

     

    this notation:

     

    " Because of your browser security settings, the editor is not able to access your clipboard data directly. You are required to paste it again in this window.

    Please paste inside the following box using the keyboard (Ctrl/Cmd+V) and hit OK "


    May I ask ; "what should I do" if I would paste/upload any figure (graph ,table ...etc (.jpg,.pdf formatted) ??

    and how much (time) does it take ? (is it difficult?)

  11. It needs to be either .PNG, .JPG .JPEG, .PDF, or DOC file extension. These definitely work. If it's not a valid format you could convert it to one of those mentioned. Make sure they are less than 3.91Mb.

     

    any type of these documents cannot be uploaded.

    no problem with the document's format.

    @Klaynos I will check to reply your questions. (But I remember at once it was saying a note like this.) ;

    "it is not allowed to paste this file at This community"

    I need to upload a file to reply Studiot at my this topic "a query" .

    Really I am a bit ill ,it seems everything will be delayed :(

  12. hi;

     

     

    Let , a ≤ x ≤ b , y1(x) ≤ y ≤ y2(x)

    ,Let ,V be an interval/region ;

    a ≤ x ≤ b y1(x) ≤ y ≤ y2(x) , z1(x,y) ≤ z ≤ <z2(x,y)

     

     

    in this case ; might we calculate this integral if we would like to choose our "R" function as any type of light or magnetic wave’s equation ?

     

     

     

    ab y2(x)y2(x) z1(x,y)z2(x,y) .R.dV

     

     

    thanks

  13. I'm currently taking Zyban and due to stop smoking completely this coming Monday. I think I can handle the withdrawal in the day because it's not too hard to find something to do to distract myself but lying in bed at night when there's nothing but my own thoughts, before I fall asleep, might be a big challenge.

     

    Anybody have any ideas how to deal with it?

     

    hi;

     

    I recommend that you deal with social activities. for instance invite your friends (especially whoever you love them)

    treat them very hospitably with some lovely words (compliments)

     

    in my opinion thats will be just funny.

  14. Has this given us a bright view for the future ? More ...? And more ......?

     

     

     

    Mike

     

    Dear Mike;

     

    this changes :

     

    1) I think there exist vast of unintelligent people. isis , and other societies who thinks to harm innocent people are quite unintelligent. this is not unique dangerous situation and clearly

    "safety" is the most important definition in my belief.

    2) "technology" ,while this may provide very good options us, this makes something more difficult at the same time.

    Let think this example

    if we were ~200 years earlier in the past ,probably we would have more chance to pay atention to be known as "great scientist" , but now ,we will be required to "invent" something so bright that should make almost everyone admire it.

    on the other hand , I believe creativity + optimistic characters might help us.

  15. Maybe somebody could explain this to me; I read somewhere that the generally accepted opposite of the emotion 'love' is 'indifference', But this makes absolutely no sense to me. To me, the clear-cut opposite of love is hate. And that makes perfect sense.

     

    Indifference cannot be the opposite of love because indifference by definition means that you don't feel anything for the person, you neither love nor hate the person. This means that in effect, indifference is simply the lack of both love and hate.

     

    A simple analogy would be to let the number 1 represent love; this means that if you take away the emotion, you're left with indifference, which would be represented by the number 0. Anyone who's gone to school knows that 0 is not the opposite of 1, which by extension means that indifference cannot be the opposite of love. The opposite of love would have to be represented by the number -1, which in my mind would clearly be hate.

     

    If I'm missing something here, please fill me in, because I absolutely know for a fact that lack of is not the same thing as opposite of.

     

    sorry ,I cancelled my this comment. this was containing some instructions about private life.

    apologies.according to my principles ,this will not be useful to share our private life's events.

    but I may clearly say that ,I don't agree religious rules. (both christianity & islamic)

    My opinion is to comply SCIENTIFIC DATUMS or your own principles.

     

    Regards

  16. Hi ,

     

    I am unsure but again I think you migh use one of the proof of cauchy schwars inequality to take help.

     

    Remember we are beginning to prove it :

     

    0 < II u - λ.v II → (to go on..)

    R: https://en.wikipedia.org/wiki/Cauchy%E2%80%93Schwarz_inequality (its proof might provide you a method

    and this also helps us to show minkowski inequality which we use it to create a useful expression for normic spaces or hilberd (remember please lp was a hilberd space only if only when p = 2 )

     

    minkowski inequality is :

     

    ( ∑ (ai + bi ) p )1/p ≤ ( ∑ ai p )1/p + ( ∑ bi p )1/p

    there, i= 1,2,..,n p >1

     

    furhermore , the Hilbert Projection theorem is correct there why as you wrote M ⊂ H and M is closed . M is complete because H is Hilberd this means any cauchy sequence which its elements are chosen from M , will be convergent and its limit will be elemnt of M

     

    then , of course Hilberd projection is provided (correct) there (convexity is also correct )

     

    But I did see some invisible statement or these are not enough to make interpretations

     

     

     

     

    I have approached it with the cosine definition for inner product but that only works with Euclidean spaces. (???) I want to know how to apply this using the Cauchy-Schwartz inequality so it works for Banach Spaces

     

    look , some euclidean spaces are also both banach space or at the same time HILBERD

     

    e.g : R3is banach space (Euclidean (✔))

    l2 is hilberd.

     

    R: limited dimensional Euclidean spaces are Hilberd https://en.wikipedia.org/wiki/Hilbert_space

    R: https://en.wikipedia.org/wiki/Banach_space

     

    but if you meant rieamnnian manifolds or .. (I do not have enough information (Geometry))

     

     

    and what have you implied for its actual meaning via using this notation

     

     

     

    Mperp

     

    is this just in the meaning marginal elements of M ??

  17.  

     

    Here is one grammatical problem in the abstract:

    This sentence appears to say that it's obvious that this project won't help with the problem even if it's made better. The journal might use this sentence to make the determination that your work will not offer a firm advance in general understanding, and is therefore not appropriate for them to publish.

     

    NO GRAMMATICAL FAULTS.

     

    THE UNDERSTANDING THAT YOU WROTE ,WAS JUST THE THING THAT I WOULD TELL.

     

    ....

     

    because the biggest gıla was not treatment of cancer

     

    of course the biggest goal is to/explore >3D space.

  18. I am beginning to suspect that you are incapable of actually reading English. At least, you don't bother to read posts before replying.

     

    I think just the same for you ,sorry.

    I LOVE TAKING CRITIQUES ,BUT I ALSO LOVE TO BE SHOWN AT LEAST ONE EVIDENCE FOR ANY CRITIQUE.

    REPEATED POST (3RD TIME)

     

    Dear

     

    Grammatical or spelling errors are not a problem. You only need an abstract or description in that box.

     

    The system does not handle special characters in the title area very well. You can try, but I would suggest avoiding them.

     

    The title can be over 150 letters, but we ask that you keep the title as short as possible, and include the rest of the information in the abstract.

     

    < names edited out by moderator>

     

    !

    Moderator Note

    please do not paste names and professional positions of those who are not members of this forum and have not consented to their inclusion in the discussion.

    This paper contends that the treatment of cancer through radiotherapy is at present suboptimal as the current methodology fails to engage with the mathematical analysis and statistical framework necessary to provide a full therapeutic regime. Mathematical Analysis - more specifically the Completeness Principle - provide foundations that all naturally occuring phenomena must adhere to; it is this papers assertion that through an amalgum of present medical practice and functional analysis the overall prognosis of those suffering from cancer can be significantly improved. We aim to show that this is the case through a rigorous statistical analysis of ...

     

     

    yes all these will be in the scope of my paper.

     

    yes this is one of another nice/logical comment.

     

    thanks to arete and imatfaal

     

    I think these are thinking with more maturity ..(CharonY is also such ones)

  19.  

    Both journals are Nature group journals and have the same confidentiality and editorial policies.

    this is quite incorrect. I know this because I had written at least briefguide

     

    look

     

    http://www.nature.com/nphys/pdf/submission_guide_nphys.pdf

     

    this journal does not permit to authors to use more 100 characters in title ,so I changed it.

     

    the first one was containing more characters ,becauese bature methods allows up to 150

    but thıs does not.

    Look - you challenged Strange to find grammatical errors. I found plenty. I just replied to that. Then you say it doesn't matter. Hooray. It still needs to make sense and to have a point. Good luck with that.

    Dear

     

    Grammatical or spelling errors are not a problem. You only need an abstract or description in that box.

     

    The system does not handle special characters in the title area very well. You can try, but I would suggest avoiding them.

     

    The title can be over 150 letters, but we ask that you keep the title as short as possible, and include the rest of the information in the abstract.

     

    Best,

    ..

    Look - you challenged Strange to find grammatical errors. I found plenty. I just replied to that. Then you say it doesn't matter. Hooray. It still needs to make sense and to have a point. Good luck with that.

     

    and YOU DID NOT FIND ANY GRAMMATICA ERRORS ,YOU FOUND ONLY spelling faults

  20. yes I am not spaking incorrectly or I am not lying.

     

    look what ders had said.

     

     

    Dear ....

     

    Grammatical or spelling errors are not a problem. You only need an abstract or description in that box.

     

    The system does not handle special characters in the title area very well. You can try, but I would suggest avoiding them.

     

    The title can be over 150 letters, but we ask that you keep the title as short as possible, and include the rest of the information in the abstract.

     

    Best,

    ...

     

    yes I am not spaking incorrectly or I am not lying.

    look what .... had said.

    Dear ....

    Grammatical or spelling errors are not a problem. You only need an abstract or description in that box.

     

    The system does not handle special characters in the title area very well. You can try, but I would suggest avoiding them.

    The title can be over 150 letters, but we ask that you keep the title as short as possible, and include the rest of the information in the abstract.

     

    Best,

    ...

  21.  

    But you said this was official version which was submitted to nature physics.

     

    Submitting it in that format which is barely literate is very stupid. Your choice.

     

    okay ,but thıs was not the actual ıssue .

     

    look what the edıtor said at once (Nature Methods editor)

     

    Dear,

    The author will have the option to change submitted files later, if the editors wish to see the full paper.

    If the file is incorrect or must be updated, I can change it for you if needed.

     

    Best wishes,

    Claire

     

     

     

    this edtor was also saying spelling faults are not important for presubmissions

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