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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1677.0. "What's this curve?" by VMSDEV::HALLYB (Fish have no concept of fire.) Wed Oct 21 1992 11:51

               ....
             ..    ..
           ..        ..
         ..            ..
        .                ..
       .                   ..
      .                      ..
     .                         ..
     .                           ...
    .                               ...
    .                                  ...
    ----------------------------------------

    Does this curve look familiar to anybody?  Sort of a normal curve, but
    squashed left?  I'm looking for a statistical distribution and "know"
    I've seen this before, but none of my college texts show this curve.
    (Of course, they -all- show the normal curve, then list all the others).
    
    If you can identify the curve, can you supply the generating equation?

      John
T.RTitleUserPersonal
Name
DateLines
1677.1seems like a black bodyBRSTR2::SYSMANDirk Van de moortelWed Oct 21 1992 14:4416
Seems like the radiation spectrum of a black body.
I'll look up the generating equation and let you know tomorrow...

Intensity
    ^          ....
    |        ..    ..
    |      ..        ..
    |    ..            ..
    |   .                ..
    |  .                   ..
    | .                      ..
    |.                         ..
    |.                           ...
    .                               ...
    .                                  ...
    +------------------------------------------------> frequency
1677.2or look at gamma densitiesSGOUTL::BELDIN_RD-Day: 161 days and countingWed Oct 21 1992 15:3418
1677.3HERON::BUCHANANThe was not found.Wed Oct 21 1992 16:076
1677.4kilroy was here and murphy too!SGOUTL::BELDIN_RD-Day: 161 days and countingWed Oct 21 1992 16:238
1677.53D::ROTHGeometry is the real life!Wed Oct 21 1992 16:414
    It may be a Rayleigh distribution, essentially a chi squared
    distribution of 2 degrees of freedom.

    - Jim
1677.6RUSURE::EDPAlways mount a scratch monkey.Wed Oct 21 1992 17:2294
1677.7>2 df.CADSYS::COOPERTopher CooperWed Oct 21 1992 17:5818
1677.8STAR::ABBASII love DECspellWed Oct 21 1992 18:388
    ref .6
    
    Thanks EDP for that list, do you know if one can write vectors too?
    
           -
    like   A  , but the dash is close to the A ? 
    
    /nasser
1677.9a little bit closer :-)CSC32::D_DERAMODan D'Eramo, Customer Support CenterThu Oct 22 1992 00:1410
    re .-1,
    
>           -
>    like   A  , but the dash is close to the A ? 
    
			_
    How about this:	A
    
    Dan
    0:-)
1677.10not BB but x*exp(-x)BRSTR2::SYSMANDirk Van de moortelThu Oct 22 1992 07:4280
re. 1
                                            3
                                           x
It's not a black body spectrum: BB(x) = --------
                                           x
                                          e -1

which must have an horizontal tangent in (0,0), while yours clearly
has a vertical tangent...
                                                                  -x
The simplest function I can think of with these properties is: x e

Here's a plot (made with good old datatrieve!) of that function:
If you have a graphics terminal (VT240,VT330,...) say EXTRACT TT:

<P1p
s[0,0](EA[0,0][767,479]
S1I(D))p[0,0] @:B@;

T(A0S1)t(s1I0)w(vi(w)s0P1)
L(A2)
L"5"00FF8181818181FF
L"6"0018244281422418
L"0"00FF814242242418
T(B)
T(E)
P[100,360]V[+600][,-350][100][,360]
P[0,185]T(B)[0,25]""
T[15,0]P[133,460]T"x*exp(-x) -- Control_W to resume..."T(E)
P[81,355]T"0"
P[101,273]V(W(P4I(0)))[+598]
P[45,268]T" .100"
P[101,185]V(W(P4I(0)))[+598]
P[45,180]T" .200"
P[101,98]V(W(P4I(0)))[+598]
P[45,93]T" .300"
P[45,5]T" .400"
P[96,375]T"0"
P[200,359]V(W(P4I(0)))[,-348]
P[196,375]T"1"
P[300,359]V(W(P4I(0)))[,-348]
P[296,375]T"2"
P[400,359]V(W(P4I(0)))[,-348]
P[396,375]T"3"
P[500,359]V(W(P4I(0)))[,-348]
P[496,375]T"4"
P[600,359]V(W(P4I(0)))[,-348]
P[596,375]T"5"
P[696,375]T"6"
T(BA2S[8,16])
P[105,318]W(I1)
V[105,318]V[110,281]V[115,247]V[120,217]V[125,190]V[130,166]V[135,144]V[140,125]
V[145,109]V[150,95]V[155,82]V[160,72]V[165,63]V[170,56]V[175,50]V[180,45]
V[185,42]V[190,40]V[195,39]V[200,38]V[205,38]V[210,40]V[215,41]V[220,44]
V[225,47]V[230,50]V[235,54]V[240,58]V[245,62]V[250,67]V[255,72]V[260,77]
V[265,83]V[270,88]V[275,94]V[280,100]V[285,105]V[290,111]V[295,117]V[300,123]
V[305,129]V[310,135]V[315,141]V[320,147]V[325,152]V[330,158]V[335,164]V[340,169]
V[345,175]V[350,180]V[355,186]V[360,191]V[365,196]V[370,201]V[375,206]V[380,211]
V[385,216]V[390,220]V[395,225]V[400,229]V[405,234]V[410,238]V[415,242]V[420,246]
V[425,250]V[430,253]V[435,257]V[440,261]V[445,264]V[450,268]V[455,271]V[460,274]
V[465,277]V[470,280]V[475,283]V[480,286]V[485,288]V[490,291]V[495,293]V[500,296]
V[505,298]V[510,301]V[515,303]V[520,305]V[525,307]V[530,309]V[535,311]V[540,313]
V[545,315]V[550,316]V[555,318]V[560,320]V[565,321]V[570,323]V[575,324]V[580,325]
V[585,327]V[590,328]V[595,329]V[600,331]V[605,332]V[610,333]V[615,334]V[620,335]
V[625,336]V[630,337]V[635,338]V[640,339]V[645,340]V[650,340]V[655,341]V[660,342]
V[665,343]V[670,343]V[675,344]V[680,345]V[685,345]V[690,346]V[695,346]V[700,347]
W(R)
p[101,308]t"6"
p[696,337]t"6"
T(E)
@:B W(I0S1)P[,-30]V[+56]W(I3S0)
V[,+30][-56][,-30][+56]P(B)
P(E)[-52,+20]
P(B)[,+0]
[,-16]W(I1)T(A2S[8,20])
"6"P[+4]
W(I3)T(A0)[12,0]"Y1"P(E)
@;
P[102,40]@B
W(I(W))P[,500]\
1677.11AYOV11::IGILLESPIEThu Oct 22 1992 07:4815
    
    
    Looks like a Poisson distribution.
    
             -m  x
            e   m
    P(x)= ----------
              x!
    
    
    Where m = average number of occurancies
          e = e ... (2.71828...)
    
    
    Iain