sábado, 24 de agosto de 2019

dual-sport natació

algoritme
{
braçada dreta & aire.
braçada esquerra.
braçada dreta.


braçada esquerra & aire.
braçada dreta.
braçada esquerra.
}

jueves, 22 de agosto de 2019

funcions expansives y contractives

Si f(n)  = min{z: z [< n } ==> f(n) [< n
f(n) [< z
f(n) [< z [< n


Si f(n)  = max{z: z >] n } ==> f(n) >] n
f(n) >] z
f(n) >] z >] n


Si f(n)  = min{z: z+n [< n } & 0 [< n ==> f(n) [< n
f(n) [< z
f(n)+n [< z+n
0 [< n
f(n) [< f(n)+n
f(n) [< f(n)+n [< z+n [< n


Si f(n)  = max{z: z+n >] n } & 0 >] n ==> f(n) >] n
f(n) >] z
f(n)+n >] z+n
0 >] n
f(n) >] f(n)+n
f(n) >] f(n)+n >] z+n >] n


Si f(n)  = min{z: max{z,n} [< n } ==> f(n) [< n
f(n) [< z
max{f(n),n} [< max{z,n}
f(n) [< max{f(n),n} [< max{z,n} [< n


Si f(n)  = max{z: min{z,n} >] n } ==> f(n) >] n
f(n) >] z
min{f(n),n} >] min{z,n}
f(n) >] min{f(n),n} >] min{z,n} >] n

equivalencia de cardinals y pars de omega

k^{oo} = k·oo^{k+(-1)}


1^{oo}=1
2^{oo}=2·oo
3^{oo}=3·oo^{2}
oo^{oo}=oo·oo^{oo+(-1)}


k^{oo^{oo}} = k·(oo^{ k·oo^{k+(-1)} + (-1) })
1^{oo^{oo}}=1
2^{oo^{oo}}=2·oo^{2·oo+(-1)}
3^{oo^{oo}}=3·oo^{3·oo^{2}+(-1)}
oo^{oo^{oo}}=oo·(oo^{oo·oo^{oo+(-1)}+(-1)})


f( {n_{1},2^{n_{2}},3^{n_{3}},...} )=n_{1}·n_{2}·n_{3}... = #P(N) = oo^{oo}

miércoles, 21 de agosto de 2019

teoria de escala musical

x^{4}+x^{4}·2+x^{4}·2^{2}+x^{4}·2^{3}=x^{4}·( 2^{4}+(-1) )
< x^{4} , x^{4}·2 , x^{4}·2^{2} , x^{4}·2^{3} , (2x)^{4} >

funció put-pixel-sound en assembler


put-pixel-sound-x( int frequencia , int x , int y )
{
mov bx,frequencia
mov ax,[bx]
not ax
not ax


mov bx,x
mov cx,[bx]
not cx
not cx


mov bx,y
mov dx,[bx]
not dx
not dx


int 0001 1000
}


put-pixel-sound-y( int frequencia , int x , int y )
{
mov bx,frequencia
mov ax,[bx]
not ax


mov bx,x
mov cx,[bx]
not cx


mov bx,y
mov dx,[bx]
not dx


int not(0001 1000)
}


def-int
{
int 0001 1000 : posa el so ax afirmat en la tarjeta de so en cx,dx.
int not(0001 1000) : posa el so not(ax) negat en la tarjeta de so en not(cx),not(dx).
}

9a simfonia variació dos


frase:
[12+05]+[12+05]+[...]+[...]+[12+06]+[12+08]+[...]+[...]+
[12+08]+[12+06]+[...]+[...]+[12+05]+[12+03]+[...]+[...]+
[12+01]+[12+01]+[...]+[...]+[12+03]+[12+05]+[...]+[...]+
[12+05]+[12+03]+[...]+[...]+[12+01]+[12+03]+[...]+[...]=


frase negada:
[12+11]+[12+11]+[...]+[...]+[12+12]+[24+02]+[...]+[...]+
[24+02]+[12+12]+[...]+[...]+[12+11]+[12+09]+[...]+[...]+
[12+07]+[12+07]+[...]+[...]+[12+09]+[12+11]+[...]+[...]+
[12+11]+[12+09]+[...]+[...]+[12+07]+[12+09]+[...]+[...]=

lunes, 19 de agosto de 2019

9a simfonia variació 230-314

frase:
[12+05]+[...]+[...]+[...]+[12+06]+[...]+[12+08]+[...]+
[12+08]+[...]+[12+06]+[...]+[12+05]+[...]+[12+03]+[...]+
[12+01]+[...]+[12+01]+[...]+[12+03]+[...]+[12+05]+[...]+
[12+05]+[...]+[...]+[12+03]+[12+03]+[...]+[12+03]+[...]=230+15


frase negada:
[12+11]+[...]+[...]+[...]+[12+12]+[...]+[24+02]+[...]+
[24+02]+[...]+[12+12]+[...]+[12+11]+[...]+[12+09]+[...]+
[12+07]+[...]+[12+07]+[...]+[12+09]+[...]+[12+11]+[...]+
[12+11]+[...]+[...]+[12+09]+[12+09]+[...]+[12+09]+[...]=314+21




230=19·9+59
314=29·9+53


314+(-230) =[6]= 0
314+(-230) =[14]= 0
314+(-230) =[3]= 0
314+(-230) =[28]= 0
314+(-230) =[2]= 0
314+(-230) =[42]= 0


245=19·9+59+15=(57+5)·3+59=62·3+59=31·6+59
335=29·9+53+21=(87+7)·3+53=94·3+53=47·6+53




245=31·6+59
335=47·6+53


335+(-245) =[6]= 0
335+(-245) =[15]= 0
335+(-245) =[3]= 0
335+(-245) =[30]= 0
335+(-245) =[2]= 0
335+(-245) =[45]= 0


frase:
[12+05]+[...]+[...]+[...]+[12+06]+[...]+[12+08]+[...]+
[12+08]+[...]+[12+06]+[...]+[12+05]+[...]+[12+03]+[...]+
[12+01]+[...]+[12+01]+[...]+[12+03]+[...]+[12+05]+[...]+
[12+03]+[...]+[...]+[12+01]+[12+01]+[...]+[12+01]+[...]=224+13


frase negada:
[12+11]+[...]+[...]+[...]+[12+12]+[...]+[24+02]+[...]+
[24+02]+[...]+[12+12]+[...]+[12+11]+[...]+[12+09]+[...]+
[12+07]+[...]+[12+07]+[...]+[12+09]+[...]+[12+11]+[...]+
[12+09]+[...]+[...]+[12+07]+[12+07]+[...]+[12+07]+[...]=308+19


224=17·9+71
308=31·9+29




308+(-224) =[3]= 0
308+(-224) =[28]= 0


237=166+71=83·2+71
327=298+29=149·2+29








frase:
[12+03]+[...]+[...]+[...]+[12+05]+[...]+[12+01]+[...]+
[12+03]+[...]+[12+05]+[12+06]+[12+05]+[...]+[12+01]+[...]+
[12+03]+[...]+[12+05]+[12+06]+[12+05]+[...]+[12+03]+[...]+
[12+01]+[...]+[12+03]+[...]+[08]+[...]+[...]+[...]=243


frase negada:
[12+09]+[...]+[...]+[...]+[12+11]+[...]+[12+07]+[...]+
[12+09]+[...]+[12+11]+[12+12]+[12+11]+[...]+[12+07]+[...]+
[12+09]+[...]+[12+11]+[12+12]+[12+11]+[...]+[12+09]+[...]+
[12+07]+[...]+[12+09]+[...]+[12+02]+[...]+[...]+[...]=339


243=19·10+53
339=31·10+29


339+(-243) =[6]= 0
339+(-243) =[16]= 0
339+(-243) =[3]= 0
339+(-243) =[32]= 0
339+(-243) =[8]= 0
339+(-243) =[12]= 0
339+(-243) =[2]= 0
339+(-243) =[48]= 0

domingo, 18 de agosto de 2019

variació spirit summer en do major

frase:
[12+01]+[...]+[10]+[...]+[12+01]+[...]+[10]+[...]+
[12+01]+[...]+[10]+[...]+[12+01]+[...]+[12+03]+[...]=97
[12+05]+[...]+[12+01]+[...]+[12+05]+[...]+[12+01]+[...]+
[12+05]+[...]+[12+01]+[...]+[12+05]+[...]+[12+06]+[...]=125
[12+03]+[...]+[08]+[...]+[12+03]+[...]+[08]+[...]+
[12+03]+[...]+[08]+[...]+[12+03]+[...]+[12+05]+[...]=101
[12+03]+[...]+[08]+[...]+[12+03]+[...]+[08]+[...]+
[12+03]+[...]+[08]+[...]+[12+01]+[...]+[12]+[...]=94


frase negada:
[12+07]+[...]+[12+04]+[...]+[12+07]+[...]+[12+04]+[...]+
[12+07]+[...]+[12+04]+[...]+[12+07]+[...]+[12+09]+[...]=145
[12+11]+[...]+[12+07]+[...]+[12+11]+[...]+[12+07]+[...]+
[12+11]+[...]+[12+07]+[...]+[12+11]+[...]+[12+12]+[...]=173
[12+09]+[...]+[12+02]+[...]+[12+09]+[...]+[12+02]+[...]+
[12+09]+[...]+[12+02]+[...]+[12+09]+[...]+[12+11]+[...]=149
[12+09]+[...]+[12+02]+[...]+[12+09]+[...]+[12+02]+[...]+
[12+09]+[...]+[12+02]+[...]+[12+07]+[...]+[12+06]+[...]=142


97=23·4+5
145=29·4+29
145+(-97) =[4]= 0


125=22·4+37
173=33·4+41
173+(-125) =[4]= 0


101=10·6+41
149=15·6+59
149+(-101) =[6]= 0


94=47·2
142=71·2
142+(-94) =[2]= 0

variació (19+24)-(17+24)-(23+24)-(29+24) primers

frase:
2k( [01]+[05]+[08]+[05] )=19·2k
2k( [01]+[04]+[08]+[04] )=17·2k
2k( [01]+[05]+[08]+[05] )=19·2k
2k( [01]+[06]+[10]+[06] )=23·2k
2k( [01]+[05]+[08]+[05] )=19·2k
2k( [01]+[04]+[08]+[04] )=17·2k
2k( [01]+[05]+[08]+[05] )=19·2k
2k( [03]+[08]+[10]+[08] )=29·2k


frase negada:
2k( [07]+[11]+[12+02]+[11] )=43·2k
2k( [07]+[10]+[12+02]+[10] )=41·2k
2k( [07]+[11]+[12+02]+[11] )=43·2k
2k( [07]+[12]+[12+04]+[12] )=47·2k
2k( [07]+[11]+[12+02]+[11] )=43·2k
2k( [07]+[10]+[12+02]+[10] )=41·2k
2k( [07]+[11]+[12+02]+[11] )=43·2k
2k( [09]+[12+02]+[12+04]+[12+02] )=53·2k