Àlgebra

ae^{x}+be^{y} = e^{ ( ln(a)+x ) [+] ( ln(b)+y ) }

ae^{x}+be^{x} = e^{ ( ln(a)+x ) [+] ( ln(b)+x ) } = e^{( ln(a) [+] ln(b) )+x} = (a+b)·e^{x}

(a+b)·e^{x} = 1

x = (-1)·ln(a+b) = (-1)·( ln(a) [+] ln(b) )

(a+b)·e^{x} = c

x = ln(c)+(-1)·ln(a+b) = ln(c)+(-1)·( ln(a) [+] ln(b) )

ln(16) = ln(8+8) = 3·ln(2) [+] 3·ln(2) = ...

... 3·ln(2)+( 0 [+] 0 ) = 3·ln(2)+( ln(1) [+] ln(1) ) = 3·ln(2)+ln(1+1) = 4·ln(2) = ln(2^{4})

ln(30) = ln(3+27) = ln(3) [+] 3·ln(3) = ...

... ln(3)+( 0 [+] 2·ln(3) ) = ln(3)+( ln(1) [+] ln(9) ) = ln(3)+ln(1+9) = ln(3)+ln(10)

ln(20) = ln(16+4) = 2·ln(4) [+] ln(4) = ...

... ln(4)+( ln(4) [+] 0 ) = ln(4)+( ln(4) [+] ln(1) ) = ln(4)+ln(4+1) = ln(4)+ln(5)

2·( ln(x) [+] ln(y) ) = 2·ln(x+y) = ln( (x+y)^{2} ) = ...

... ln(x^{2}) [+] ln(2xy) [+] ln(y^{2})

( ln(x) [+] ln(y) )+( ln(x) [+] ln(y) ) = ...

... ( ( ln(x) [+] ln(y) )+ln(x) ) [+] ( ( ln(x) [+] ln(y) )+ln(y) )

n·e^{ln(x) [+] ln(y)} = n·e^{ln(x+y)} = nx+ny = ne^{ln(x)}+ne^{ln(y)}

x^{n}+x^{m} = c

x = c^{( 1/( n [+] m ) )}

x^{n}+x^{m} = ( c^{( 1/( n [+] m ) )} )^{n}+( c^{( 1/( n [+] m ) )} )^{m} = ...

... ( c^{( 1/( n [+] m ) )} )^{( n [+] m )} = c^{( ( n [+] m )/( n [+] m ) )} = c

d_{x}[y(x)]^{n}+d_{x}[y(x)]^{m} = d_{x}[f(x)]

x = ( f(x) )^{[o(x)o]( 1/( n [+] m ) )}

ax^{n}+bx^{m} = c

polinomi asociat resoluble:

px^{n}+qx^{m} = c

p = a^{( 1/( ( log_{c}(a)+n ) [+] ( log_{c}(b)+m ) ) )}

q = b^{( 1/( ( log_{c}(a)+n ) [+] ( log_{c}(b)+m ) ) )}

x = c^{( 1/( ( log_{c}(a)+n ) [+] ( log_{c}(b)+m ) ) )}

px^{n}+qx^{m} = ...

... ( c^{( 1/( ( log_{c}(a)+n ) [+] ( log_{c}(b)+m ) ) )} )^{( log_{c}(a)+n )}+...

... ( c^{( 1/( ( log_{c}(a)+n ) [+] ( log_{c}(b)+m ) ) )} )^{( log_{c}(b)+m )} = c

100·x^{100}+1000·x^{48} = 10

polinomi asociat resoluble:

px^{100}+qx^{48} = 10

p = 10^{( 2/( 102 [+] 51 ) )}

q = 10^{( 3/( 102 [+] 51 ) )}

x = 10^{( 1/( 102 [+] 51 ) )}

81·x^{8}+27·x^{3} = 3

polinomi asociat resoluble:

px^{8}+qx^{3} = 3

p = 3^{( 4/( 12 [+] 6 ) )}

q = 3^{( 3/( 12 [+] 6 ) )}

x = 3^{( 1/( 12 [+] 6 ) )}

criteri de límit

(-s) < (a_{n+1}+(-1)·a_{n})/(b_{n+1}+(-1)·b_{n})+(-l) < s

(-s) < ( (a_{n+1}+(-1)·a_{n})/b_{n+1} )+(-l)·( (b_{n+1}+(-1)·b_{n})/b_{n+1} ) < s

l = (n+1)

(a_{n+1}/b_{n+1}) = lim[ (1+...(n)...+n+(n+1))/(n+1) ] = (1/2)·(n+2)

(a_{n}/b_{n+1}) = lim[ (1+...(n)...+n)/(n+1) ] = (n/2)

l = (n+1)^{2}

(a_{n+1}/b_{n+1}) = lim[ (1^{2}+...(n)...+n^{2}+(n+1)^{2})/(n+1) ] = ((n/6)+(1/3))·(2n+3)

(a_{n}/b_{n+1}) = lim[ (1^{2}+...(n)...+n^{2})/(n+1) ] = (n/6)·(2n+1)

Derechos

Derecho a la Vida.

Derecho a la Sanidad.

Derecho a la Muerte.

Derecho a la Autenasia.

La autenasia tiene que ser, de X-eplion-Vega,

porque homosexuales o deficientes,

no son resistentes al X-eplion-Vega.

La autenasia no tiene que ser, de no X-eplion-Vega,

porque heterosexuales y intelectuales,

son resistentes al X-eplion-Vega.

verbos: dar y var

var [o] vando [o] vado

dar [o] dando [o] dado

Quieres var-te de mi?

Quiero var-me de ti.

Quieres dar-me?

Quiero dar-te.

castellán-español y català

un <==> un

una <==> una

unos <==> uns

unas <==> unes

ell <==> ell

ella <==> ella

ellos <==> ells

ellas <==> elles

aquell <==> aquell

aquella <==> aquella

aquellos <==> aquells

aquellas <==> aquelles

achesto <==> aquestû

achesta <==> aquesta

achestos <==> aquestûs

achestas <==> aquestes

lo <==> el

la <==> la

los <==> els

las <==> les

ciclons y anti-ciclons

c_{x} = meridià.

c_{y} = paralel.

c_{x} = 0 <==> hora 12 del mitx-dia.

c_{y} = 0 <==> ( pol para huracà & ecuador para huracà polar ).

Front fred ciclónic:

f(x) = c_{x}+(P/mg)·pi·R^{2}·cos(d_{t}[s(t)]·t)

f(y) = c_{y}+(P/mg)·pi·R^{2}·sin(d_{t}[s(t)]·t)

g(x) = c_{x}+(P/mg)·pi·R^{2}·(-1)·cos(d_{t}[s(t)]·t)

g(y) = c_{y}+(P/mg)·pi·R^{2}·(-1)·sin(d_{t}[s(t)]·t)

Front càlid ciclónic:

f(x) = c_{x}+(P/mg)·pi·R^{2}·(-1)·sin(d_{t}[s(t)]·t)

f(y) = c_{y}+(P/mg)·pi·R^{2}·cos(d_{t}[s(t)]·t)

g(x) = c_{x}+(P/mg)·pi·R^{2}·sin(d_{t}[s(t)]·t)

g(y) = c_{y}+(P/mg)·pi·R^{2}·(-1)·cos(d_{t}[s(t)]·t)

Front fred anti-ciclónic:

f(x) = c_{x}+(P/mg)·pi·R^{2}·cos((-1)·d_{t}[s(t)]·t)

f(y) = c_{y}+(P/mg)·pi·R^{2}·sin((-1)·d_{t}[s(t)]·t)

g(x) = c_{x}+(P/mg)·pi·R^{2}·(-1)·cos((-1)·d_{t}[s(t)]·t)

g(y) = c_{y}+(P/mg)·pi·R^{2}·(-1)·sin((-1)·d_{t}[s(t)]·t)

Front càlid anti-ciclónic:

f(x) = c_{x}+(P/mg)·pi·R^{2}·sin((-1)·d_{t}[s(t)]·t)

f(y) = c_{y}+(P/mg)·pi·R^{2}·(-1)·cos((-1)·d_{t}[s(t)]·t)

g(x) = c_{x}+(P/mg)·pi·R^{2}·(-1)·sin((-1)·d_{t}[s(t)]·t)

g(y) = c_{y}+(P/mg)·pi·R^{2}·cos((-1)·d_{t}[s(t)]·t)

Ciclónic:

front-fred [o] front-càlid = ( c_{x} )^{2}+( c_{y} )^{2} = B^{2}

Anti-Ciclónic:

front-fred [o] front-càlid = ( c_{x} )^{2}+( c_{y} )^{2} = A^{2}

economía: empresas de materia

... n = precio de fábrica || ...

... n = precio de uso partido por tiempo por duración de producto || ...

... n = precio de plantación

Tienda directa:

B(x) = px+(-n)·x^{2}

d_{x}[B(x)] = p+(-2)·nx = 0

p = 2n <==> x = 1

p = precio de venda.

50% fábrica.

50% tienda.

Dueño sin socio:

B(x) = px+(-n)·x^{3}

d_{x}[B(x)] = p+(-3)·nx^{2} = 0

p = 3n <==> x = 1

p = precio de venda.

33.3...% fábrica.

33.3...% tienda.

33.3...% dueño y empresa.

Dueño con un socio:

B(x) = px+(-n)·x^{4}

d_{x}[B(x)] = p+(-4)·nx^{3} = 0

p = 4n <==> x = 1

p = precio de venda.

25% fábrica.

25% tienda.

25% dueño y empresa.

25% socio y empresa.

Dueño con dos socios: A y B :

B(x) = px+(-n)·x^{5}

d_{x}[B(x)] = p+(-5)·nx^{4} = 0

p = 5n <==> x = 1

p = precio de venda.

20% fábrica.

20% tienda.

20% dueño y empresa.

20% socio-A y empresa.

20% socio-B y empresa.

Sociedades Limitadas:

por contrato en tienda de deuda o bien retorno de producto.