


 Updated in
 
Updated in 
 
2025 : 
 
October : 
 
12 (Sunday) :
Distribution; 
 



 Updated on
Updated on  
 12 :
 
12 : 
 10 :
 
10 : 
 2025 : (
 
2025 : ( bunpu Distribution,
 
bunpu Distribution,
 Distribution,
 Distribution,
 Distribution,
 
Distribution,
 Distribution,
 Distribution,
 Distribution);     Approx. 25+distributions are available to read;
 
Distribution);     Approx. 25+distributions are available to read; 
〭
 
144. (( BD,
 BD,
 DVD),
 even,
 even,  
even) 
Distribution to (Left, Right) ... ; e.g. 
 
I wrote:  
Even 
 bunpu Distribution to ((
 
bunpu Distribution to (( left
 left ), 
(
 right
 right
))
Directions 
is very very important for formulating medicine (Auto Adjustment of Body 
Length Index (BLI)) on human beings livable moons (in our universes), 
in common since 1980s, 
 5 
SESSIONS on (raster sessions on Flat Panel (CRT), LCD, raster blocks on Screen 
Sheet,
 5 
SESSIONS on (raster sessions on Flat Panel (CRT), LCD, raster blocks on Screen 
Sheet,  ZCS (hikari Light
haba Breadth)) to be (1, One), so 1&&1 design model
has been still functional working in 2020s ... ; Remark: IT is worth 
beyond money and KNOWLEDGE IF POWER; IFF (horizontal line, X) 
based,
 ZCS (hikari Light
haba Breadth)) to be (1, One), so 1&&1 design model
has been still functional working in 2020s ... ; Remark: IT is worth 
beyond money and KNOWLEDGE IF POWER; IFF (horizontal line, X) 
based, 
 And Then, we've learnt triangle ones at 
(Left Edge, Right Edge) for its (extend, extent, extension), and I need to QA 
well trained kids' knowledge, so quiz would be: if you need "an equal" 
distribution, doko
 And Then, we've learnt triangle ones at 
(Left Edge, Right Edge) for its (extend, extent, extension), and I need to QA 
well trained kids' knowledge, so quiz would be: if you need "an equal" 
distribution, doko  WHERE your
DEE triangle should be placed?
 WHERE your
DEE triangle should be placed? 
well trained kids!! replied: Hmm!! Umm!! (@, at) the midst of the defined 
(horizontal line, 
 X) sir; if we need (vertical line,
 X) sir; if we need (vertical line,
 Y),
 
Y), 
 And Then, 90 degree diff as easy as 
(horizontal line, X) based sir; e.g.
 And Then, 90 degree diff as easy as 
(horizontal line, X) based sir; e.g. 

    
	
 
I wrote: OH+ 
OH+ very very good answer 
already, and good enough for ZCS based computing,
 And Then, you need more knowledge based info regarding PCS based computing
has 
begun since 2025 ... ; Also see:
Content.Internet;
Distribution;
e Character;
Reforming Myanmar 3
(144.); 
long long time ago, I created
 
And Then, you need more knowledge based info regarding PCS based computing
has 
begun since 2025 ... ; Also see:
Content.Internet;
Distribution;
e Character;
Reforming Myanmar 3
(144.); 
long long time ago, I created 
 Even Time 
Horizontal DEE with many good purpose reasons, and don't mess with 
your bosses (Germany,
Japan,
USA) 
in our earth 
because, you don't want to be a part of remaining 184,000,000.98+ (enemies, enemy, foe, 
foes) to be demolished, in 
our earth; Remember: 
inside of 
Buddha's Abhidharma based 
Idea Processor,
 Even Time 
Horizontal DEE with many good purpose reasons, and don't mess with 
your bosses (Germany,
Japan,
USA) 
in our earth 
because, you don't want to be a part of remaining 184,000,000.98+ (enemies, enemy, foe, 
foes) to be demolished, in 
our earth; Remember: 
inside of 
Buddha's Abhidharma based 
Idea Processor,  ware ware We should have 5 As Max (Mind,
Nama), and we shouldn't subnet more than 4; Remark: I've decided 
not to program Idea Processor .Net, because WHEN I drank (sake, Soju) 
rice liquor, I couldn't control my mind; since 2025, in our earth, military grade 
World War 
3 Ready Mode 
has been set-up; 
Suggestion: using
 ware ware We should have 5 As Max (Mind,
Nama), and we shouldn't subnet more than 4; Remark: I've decided 
not to program Idea Processor .Net, because WHEN I drank (sake, Soju) 
rice liquor, I couldn't control my mind; since 2025, in our earth, military grade 
World War 
3 Ready Mode 
has been set-up; 
Suggestion: using 
			 arc
 
arc
			
			 cosine 
method, kuru kuru
			
cosine 
method, kuru kuru  WHILE (calculating,
dealing with) 
"a pair of" ... in 
PCS based computing . 
 . 
 . ; thinner the 
lines, higher the versions of OEM, e.g. My Apple i Phone 17
(approx. 2025 
designed modeled) 's lines are thinner than My Apple i Phone 14
(approx. 2020 
designed modeled) 's lines; think of
 WHILE (calculating,
dealing with) 
"a pair of" ... in 
PCS based computing . 
 . 
 . ; thinner the 
lines, higher the versions of OEM, e.g. My Apple i Phone 17
(approx. 2025 
designed modeled) 's lines are thinner than My Apple i Phone 14
(approx. 2020 
designed modeled) 's lines; think of  WHEN 2 thumbs are connected 
to each other, the rests (left's 4 fingers, right's 4 fingers) are in their 
peaceful && tranquil pairs ...
 WHEN 2 thumbs are connected 
to each other, the rests (left's 4 fingers, right's 4 fingers) are in their 
peaceful && tranquil pairs ...  WHICH leads to
6 surfaced DEE Box in Z-index ;
 WHICH leads to
6 surfaced DEE Box in Z-index ; 
〭
。
。
。
 
 Gravity 
dimension Computer (HOW 
year (2568, 2025) design model solar panels are based on
Gravity 
dimension Computer (HOW 
year (2568, 2025) design model solar panels are based on
 ZCS tech to (accumulate, collect, gather) energy into 
Power Bank,
structural 
Battery),
 
ZCS tech to (accumulate, collect, gather) energy into 
Power Bank,
structural 
Battery),
 And Then, (
 
And Then, ( bunpu 
Distribution 
like Clock, Potential Diff (
 
bunpu 
Distribution 
like Clock, Potential Diff ( v)),
 
v)),
 And Then, applying 6 surfaced DEE Box in Z-index,
 
And Then, applying 6 surfaced DEE Box in Z-index,
 And Then, defining variable DEE patterns (
 
And Then, defining variable DEE patterns ( WHEN lights (e.g. iroLED) 
exist, 
DEE also 
exist) 
... ; Also see:
approx variable DEE Patterns;
 
WHEN lights (e.g. iroLED) 
exist, 
DEE also 
exist) 
... ; Also see:
approx variable DEE Patterns; 
 Gravity Dimension Computer;
(
Gravity Dimension Computer;
( cosmos,
 
cosmos,
 space,
 
space,
 universe); 
6 surfaced DEE Box in Z-index; 
Remark: a "Tarzan"
 
universe); 
6 surfaced DEE Box in Z-index; 
Remark: a "Tarzan"
 Rakhine American (e.g. 
this DOMAIN 's developer
Rakhine American (e.g. 
this DOMAIN 's developer
 Ace Jaw) rather have more questions 
than answers, 
.  . 
 .
, 
HOW,
HOW,
HOW, 
HOW,
 . 
 . 
 .
 ;
Ace Jaw) rather have more questions 
than answers, 
.  . 
 .
, 
HOW,
HOW,
HOW, 
HOW,
 . 
 . 
 .
 ; 
。
。
。
Action OR Distribution process of ... ; e.g.
Action,
OR
Distribution process of (item,
 object,
 
object,
		 pattern, state of beings, things) to wider (area, field) i.e. dispersion e.g. 
Water behaves like substances in
 
pattern, state of beings, things) to wider (area, field) i.e. dispersion e.g. 
Water behaves like substances in
		 argha Holy Water _4D (this DOMAIN .
 
argha Holy Water _4D (this DOMAIN .
 BIOPHYSICS) ... ; Also see: 
6 surfaced DEE Box in Z-index; 
DNA _Origami; 
structural Amino Acids; 
Water;
 
BIOPHYSICS) ... ; Also see: 
6 surfaced DEE Box in Z-index; 
DNA _Origami; 
structural Amino Acids; 
Water; 
。
bunpu Distribution; Distribute; Distribution; haifu Distribution; e.g.
( bunpu Distribution,
 
bunpu Distribution,
 Distribution,
 Distribution,
 Distribution,
 Distribution,
 Distribution,
 Distribution,
 Distribution) ... 
;
 Distribution) ... 
; 
 Cloth;
 
Cloth;
 Distribute;
 
Distribute;
 Linen;
 
Linen;
 Spread;
 
Spread; 
haifu Distribution;
jinko chino atsuryoku bunpu; e.g.
("jinko chino atsuryoku 
bunpu"), also see:
structural 
Battery 
... e.g. AWD eV (Elevated Flight
 Mode);
Mode);  
2565; 2021; 
this DOMAIN 's Model; (( Chiral,
 
Chiral,
 reversed heat sensing way), (
 
reversed heat sensing way), ( Chiral,
 
Chiral,
 C Sequence Number Natural Cell Path Battery)) ...  
(think THAT for each 
(string) end point, Distribution 
of the (string) energy prompts hole) ... 
also see:
Anti Virus; C 
Sequence Number;
Protein;
 
C Sequence Number Natural Cell Path Battery)) ...  
(think THAT for each 
(string) end point, Distribution 
of the (string) energy prompts hole) ... 
also see:
Anti Virus; C 
Sequence Number;
Protein; 
 
 Add Network;
 
Add Network; 
b u n s a n Dispersion, (action, process) Distribution ... ; Also see: Optics;
 
 DEE .  s h a b u .  s h a b u ; 
Remark: 
DEE heat Distribution; 
Also see: DEE; 
Distribution;
Heat;
Sushi;
 
DEE .  s h a b u .  s h a b u ; 
Remark: 
DEE heat Distribution; 
Also see: DEE; 
Distribution;
Heat;
Sushi;
 
 micro SD;
 
micro SD; 
 
receive;
 Radical417;
Radical417;
 
	
	
	 Q R Code;
 
Q R Code; 
 
	
	
	 Q R Code;
 
Q R Code; 
 
	
	
	 Q R 
Code;
 Q R 
Code; 
 
send;
 Radical767;
Radical767; 
 
serial number;
 Radical534;
Radical534; 
 Antiviral Antibody
 
Antiviral Antibody     
 Antiviral Antibody
 
Antiviral Antibody     
 Antiviral Antibody; Also see: Anti Virus;
 
Antiviral Antibody; Also see: Anti Virus; 
 
 I F F 
( DEE)
i.e.
 
DEE)
i.e.
 
 10 dimensional patterns
(also see: Network Topology) for 
this DOMAIN 's imaginary hyper space ... e.g. 2,3 dimensional imaginary 
hyper space teleportation, 3,4 dimensional imaginary hyper space 
teleportation, imaginary space crafts, 
imaginary space engineering and developments, 
... in our S h a k y a universes 
... ;
10 dimensional patterns
(also see: Network Topology) for 
this DOMAIN 's imaginary hyper space ... e.g. 2,3 dimensional imaginary 
hyper space teleportation, 3,4 dimensional imaginary hyper space 
teleportation, imaginary space crafts, 
imaginary space engineering and developments, 
... in our S h a k y a universes 
... ; 
  
 WHEN random 
number (s) is / are 
needed, random variable (s) must be calculated,
 WHEN random 
number (s) is / are 
needed, random variable (s) must be calculated, 
 and then
 and then
 WHAT random 
variable x 
will be defined into WHICH
 WHAT random 
variable x 
will be defined into WHICH 
 parameter of pressure 
machine ... ;
 parameter of pressure 
machine ... ;
Develop, design, and engineer a new 2,3 dimensional differentiable manifold by 2,3 dimensional distribution formula [ for avoiding groups of stones "stars" in ACT2 space public traveling ... ];
_ 
 WHICH 2,
 WHICH 2, 
 WHEN
 
WHEN 
 
 
 SYNC, NOT
 triangulate;
_ 
 WHICH 3,
 WHICH 3, 
 WHEN
WHEN 
 
 
 SYNC AND
triangulate;
。
ACT3 
DNA growth pattern distribution:
time + number = distance, 
 WHERE time must be parallel time, and number must be based on natural time, ... 
; Therefore, ɟ (x) = ... ; Also see:
Plantation on the MOON;
 WHERE time must be parallel time, and number must be based on natural time, ... 
; Therefore, ɟ (x) = ... ; Also see:
Plantation on the MOON;
。
Bernoulli distribution a.k.a.
BE (p): ɟ (x) = { p IFF x = 1, (1 - p) IFF (x 
= 0),
,
,
,
 
... ; 
 THIS generates µ within ц (0, 1); RETURN 1 IFF (µ <= p), 0 IFF ELSE;
。
Beta distribution a.k.a.
B (α, β): ɟ (x) = { (Γ (α + β)) / ((Γ (α)) 
(Γ (β))) ((x (α - 1)) (1 - x) β- 1) IFF (α > 0) AND 
(β > 0) AND
 
(0 <= x <= 1),
,
,
,
,
 
... ; α = Integer(
(α))) 
AND
 
β = Integer(
(β))); 
 THIS generates y1 from Ģ (α, 1) 
AND
 y2 
from Ģ (β, 1); x = (y1 / (y1 
+ y2)); RETURN x;
。
Binomial distribution a.k.a.
B N (n, p): Probability mass function f with 
random variable x can be calculated as ɟ (x) = { (( n! ) / ((n - x)! x!))  
((p x (1 - p)) n-x) IFF (x = 0, 1, 2, ... , n-1, n),
,
,
,
,
 
... ; 
 WHILE (n = Integer(
 WHILE (n = Integer((n))) 
AND
 
(0 < p < 1); 
 THIS generates y1, y2, y3, ... , yn-1, 
y n from B E (p); RETURN y1 
+ y2 + y3 + ... + yn-1 + y n ;
。
Cauchy distribution a.k.a. 
C (α, β): 
ɟ (x) = { β / (π 
(β2 + ((x - α)2 ))) IFF (α > 0) AND  
(β > 0) AND
 
(-¥  < x < ¥),
,
,
,
,
 
... ; 
 THIS generates µ within ц (0, 1); Probability density function's x is 
assigned as x = α - (β / tan (π 
µ)); RETURN x;
。
Chi-Square distribution a.k.a. X2(k): 
IFF (z1, z2, z3, ... , z k within 
N(0, 1)); y = i = 1Sk 
zi2; k is degrees of freedom; ɟ (x) = { ((x(( k / 2) - 
1) exp (- x / 2)) / (Γ (k / 2) 2(k / 2))) IFF (x >= 0),
,
,
,
,
 
... ; Mean and variance are k, 2k; 
 THIS generates zi; i = 1, 2, 3, 
... , k, within N(0, 1); RETURN (z12 + z22 + 
z32 + ... + zk2);
。
distributing something, i.e. 
 allocation;
allocation;
。
| D | O | M | , | document | object | model | ; | ||
| D | C | O | M | , | distribute | d | component | object | model | 
| ; | 
。
Empirical distribution: 
ɟ (x) = { 0 IFF x < a1, (((i - 1) / (n - 1)) + (x - a i) 
/ ((n - 1) (a i + 1 - a i))) IFF ((a i <= x <= a i+1) 
AND (1 <= 
i <= n - 1)), 1 IFF an <= x,
,
,
 
... ; 
 THIS generates µ within ц (0, 1); RETURN a i + (((n -1) µ - i + 
1) (ai+1 - a i)); 
 WHILE i = Integer(
 WHILE i = Integer(((n 
- 1) µ + 1));
。
Erlang distribution: ... ;
。
Exponential distribution a.k.a. EXP (β): 
ɟ (x) = { (1 / β) e-(x / β) IFF ((0 <= x < 
¥ ) AND 
(β > 0)), 0 IFF ELSE,
,
,
,
 
... ; 
 THIS generates u within ц (0, 1); RETURN -(β (ln (u)));
。
F distribution: ... ;
。
Gamma distribution a.k.a. Ģ (α, β): 
ɟ (x) = 
{ ((x α - 1 e-(x / β) ) / βα Γ (α)) IFF (0 
<= x < ¥ ) AND 
(α > 0) AND
 
(β > 0)), 0 IFF ELSE,
,
,
,
 
... ; Ģ (α, β) 
 WHICH (((α β) = NOT
 WHICH (((α β) = NOT 
constant) AND
 
((α β2) = NOT
 
constant)); Ģ (1, β) = exp (β); 
 WHILE α = Integer(
 WHILE α = Integer((
)); 
 THIS generates x = 0; REPEAT v within 
(EXP(1)); 
x
= x + v; α
= 
α - (1 = (
(1))); 
UNTIL (α = 1); RETURN (β x);
。
geographical distribution; Also see: Physics Law 567, Manmade Global Weather ... ;
Geometric distribution: ... ;
。
Good Gene Pattern distribution:
jinko chino
 Artificial Intelligence;
Artificial Intelligence;
IFF Protein Bound, also see:
Monbusho 
level 
knowledge enhancement 3,
 
idea ♯ 264; Protein Bound;
IFF our earth, 
 Gene
 
Gene
 Therapy
 
Therapy
 System (Distribution (Iron) via blood 
proteins, bone marrow, enzymes, f e r r i t i n, hemoglobin, muscle, plasma 
transportation, tissue ), also see: Chemical 
Elements (Fe);
 
System (Distribution (Iron) via blood 
proteins, bone marrow, enzymes, f e r r i t i n, hemoglobin, muscle, plasma 
transportation, tissue ), also see: Chemical 
Elements (Fe); 
IFF location is one of the human beings livable moons, Body Length Index (BLI) auto adjustment, accordance with yellowish variations, SPL, diff shadow color, ... ;
。
Logistic distribution: ... ;
。
Lognormal distribution a.k.a.
LOG N (µ, s2): 
 WHILE (x is from N(µ, s2) 
AND
 WHILE (x is from N(µ, s2) 
AND 
y = exp (x)), probability density function f (y) = { (1 / (√(2 
π 
s y))) exp (- ((((ln y) - µ)2 ) / (2 
s2))) IFF (0 <= y < 
¥ ), 0 IFF ELSE,
,
,
,
 
... ; Mean and variance are exp (µ + (s2 
/ 2)), ((exp(s2 
)) - 1) exp (2µ + s2); 
 THIS generates z within N(0, 1); x
= 
(u + (s z)); RETURN exp (x);
。
LogisticDistribution.gif) (math)
logistic 
distribution 
... ;
 
(math)
logistic 
distribution 
... ;
。
Multi-normal distribution: ... ;
。
Negative Binomial distribution: ... ;
。
Normal distribution: ... ;
。
PDF,
Probability Distribution
Function: IFF Time . Space (Distance
a b) 
PDF = 
(1/(b-a))
... , 
 WHERE  
Time is on X dimension, and 
PDF is on Y dimension;
WHERE  
Time is on X dimension, and 
PDF is on Y dimension;
i.e.
 
PDF=(1/(b-a)) ... ; Also see: 2011 August, Pg. 57, Computer, IEEE, www.computer.org;
。
Poisson distribution a.k.a.
P (λ): ɟ (x) = { ((λ x) e-λ) 
/ x! IFF (x = 0, 1, 2, ... ), 0 IFF ELSE,
,
,
,
 
... ;         Mean is λ (λ > 0); x = 0; 
b = 1; Brunch: 
 THIS generates u within ц (0, 
1); b = b u; IF b >= e-λ, then (x
 
= x + 1) AND
 
GO TO the Brunch; Return x;
。
Student's t distribution: ... ;
。
Triangular distribution: ... ;
。
Uniform distribution: ... ;
。
Weibull distribution: ... ;
。

z-distribution 
		
		 
		
		
		
 
		 
 
		
		
		
		
		
 
		 
		 standard normal distribution;
 
standard normal distribution;
|  |  |  |  |  |  |  |  |  |  | 
| standard | normal | distribution |  | z | - | distribution | ; | ||
|  | weight | ; | 

 (z) 
distribution (-Z,
+Z) 
Also see:
(z) 
distribution (-Z,
+Z) 
Also see: 
 heat 
sensing
heat 
sensing
 pattern 
... ; thermal imaging pattern;
pattern 
... ; thermal imaging pattern;
IFF 
 
 (minus 
Z) 
is
 
(minus 
Z) 
is
light
 depth,
depth,
 
 (plus 
Z) 
is hologram;
 
(plus 
Z) 
is hologram;
IFF 
 
 (minus 
Z) 
is hologram,
 
(minus 
Z) 
is hologram, 
 
 (plus 
Z) 
is
 
(plus 
Z) 
is
light
 depth;
depth;
In common,
NOT 
(hot/ground reverse; hot/neutral reverse) 1st, 
 WHICH means correct GFCI
method alike;
plus is 
positive potential, and so many
 WHICH means correct GFCI
method alike;
plus is 
positive potential, and so many 
 
 AI
 AI
 designs have been without using
minus 
(i.e. negative potential) for letting
 
designs have been without using
minus 
(i.e. negative potential) for letting 
 electrons 
flow (e.g. potential diff among short circuits) 
2nd, also see:
open 
ground; 
 HOW cleverly letting the
 HOW cleverly letting the 
 electrons 
flow 
 WHERE controlling (-Z,
+Z) 
is 3rd, do it yourself, also see:
Monbusho level 
knowledge enhancement;
     
directional gravity;     
  i.e. our solar 
system might be moving from green 
to blue, in 2,3 dimensional;
 WHERE controlling (-Z,
+Z) 
is 3rd, do it yourself, also see:
Monbusho level 
knowledge enhancement;
     
directional gravity;     
  i.e. our solar 
system might be moving from green 
to blue, in 2,3 dimensional; 
this DOMAIN 
AI
 SYSTEM
(
SYSTEM
( Cloud)
Cloud)
 weight 
to do elevating ... ;
weight 
to do elevating ... ;
。
Also read: [Uncertain Programming; B a o d i n g Liu; 1999];
Also see: Algorithm; 
Fuzzy Support Vector Machine, this 
DOMAIN 's imaginary dimensional hyperspace craft; 
Please notice that 6
parameters have 
been intentionally use ... ;   
Also see: 
Distributive Law; 
Notice that integer has been adjusted [cast: i.e. x = cast 
(y)] by natural time; 
FP, Fuzzy Parameters have been used in each 
fuzzy set { ... ; Also see: Mutual Exclusion's
Set{...}, Duo-binary O S I 
Draft's Set{...}; 
For ACT3 stage developers only: also read that number
3 behaves as semantic in JUN time, and 
then time to develop ACT3 stage developments ... ; 
For ACT3 and ACT2 stage space 
mathematicians only: develop differentiable
manifold in lie-groups 
mathematically; To do so, 1st to understand,
star in
Kanji writing character "sun at top, 2 green lines, 
3 aqua lines", and then 2nd to understand 2,3 dimensional vector, 
and then design and engineer 2,3 dimensional distribution formula 
mathematically, 3rd to prove differentiable manifold in lie-groups; 
For space engineers only: Calculate the shaded 2D region:
 and how to 
solve horizontal area at certain vertical height; Before understanding the 
distribution of energy, M Theory of strings 
must be understood; 
For computer system analysts only: Calculate 2 parameters 
values of system time (s), and then reverse 
engineer  WHICH distribution has been used
 WHICH distribution has been used 
 WHILE 
synchronization occurs among servers 
in Intranet; i.e. / / idlist,123:4567,
/list comma     
randomly distributed time stamp in integer   :   randomly 
distributed time stamp in integer comma has been prompted between
computer A and B in a grid with
 WHILE 
synchronization occurs among servers 
in Intranet; i.e. / / idlist,123:4567,
/list comma     
randomly distributed time stamp in integer   :   randomly 
distributed time stamp in integer comma has been prompted between
computer A and B in a grid with 
 TTL, Time to live < 
15 ms;
distribute ... ;
|  | |