No spacers......Century cylinders...uncut........
peace......BartG
How the heck do I calculate my compression ratio?
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general_lee_jr
- Posts: 1811
- Joined: Wed Feb 06, 2002 12:01 am
This is the easiest way to get the compression. Let me know if you need help!
2^k<2*p<=2^(k+1)2*(2*(p+1)-2^k-1)=2*n-2^(k+1)
e = w + ix
e' = w' + ix'
e' = L(e) = [w.cosh(a) - x.sinh(a)] + i[x.cosh(a) - w.sinh(a)]
a = a0 + ia1
b = b0 + ib1
a.b = (a0.b0 - a1b1) + i(a0b1 - b0a1)
1/a = a/a2 = (a0 + ia1) / (a02 - a12)
e'2 = (L.e)2
= L2.e2
w'2 - x'2 = (cosh2(a) - sinh2(a)).(w2 - x2)
= w2 - x2 = e2
L = 1/(1 - V2/c2)1/2 + i(V/c(1 - V2/c2)1/2)
= c/(c2 - V2)1/2 + i(V/(c2 - V2)1/2)
= (c + iV)/(c2 - V2)1/2
= v/(v2)1/2
a2 = (w2 - x2)
a2n = (w2 - x2)n
= w + ix
a(2n + 1) = (w2 - x2)n . a or
a(2n + 1) = a.(w2 - x2)n
(a + b)2 = a2 + a.b + b.a + b2
(a + b)2 = a2 + a.b + (a.b)* + b2
= a2 + 2Re(a.b) + b2
p(x) = a0 + a1.x + a2.x2/2! + a3.x3 /3! ...
= f(s) + x.g(s)
a = a0 + a1i + a2j + a3k
b = b0 + b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 + a1b0 + a2b3 - a3b2)i +
(a0b2 + a2b0 + a3b1 - a1b3)j +
(a0b3 + a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 - a1b0 + a2b3 - a3b2)i +
(a0b2 - a2b0 + a3b1 - a1b3)j +
(a0b3 - a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
Then a.b = a0b0 + v.u + a0u - b0v + v X u]
a2 = (a02 - a12 - a22 - a32)
f(s) = [p(x)]2 ; s = x2

2^k<2*p<=2^(k+1)2*(2*(p+1)-2^k-1)=2*n-2^(k+1)
e = w + ix
e' = w' + ix'
e' = L(e) = [w.cosh(a) - x.sinh(a)] + i[x.cosh(a) - w.sinh(a)]
a = a0 + ia1
b = b0 + ib1
a.b = (a0.b0 - a1b1) + i(a0b1 - b0a1)
1/a = a/a2 = (a0 + ia1) / (a02 - a12)
e'2 = (L.e)2
= L2.e2
w'2 - x'2 = (cosh2(a) - sinh2(a)).(w2 - x2)
= w2 - x2 = e2
L = 1/(1 - V2/c2)1/2 + i(V/c(1 - V2/c2)1/2)
= c/(c2 - V2)1/2 + i(V/(c2 - V2)1/2)
= (c + iV)/(c2 - V2)1/2
= v/(v2)1/2
a2 = (w2 - x2)
a2n = (w2 - x2)n
= w + ix
a(2n + 1) = (w2 - x2)n . a or
a(2n + 1) = a.(w2 - x2)n
(a + b)2 = a2 + a.b + b.a + b2
(a + b)2 = a2 + a.b + (a.b)* + b2
= a2 + 2Re(a.b) + b2
p(x) = a0 + a1.x + a2.x2/2! + a3.x3 /3! ...
= f(s) + x.g(s)
a = a0 + a1i + a2j + a3k
b = b0 + b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 + a1b0 + a2b3 - a3b2)i +
(a0b2 + a2b0 + a3b1 - a1b3)j +
(a0b3 + a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 - a1b0 + a2b3 - a3b2)i +
(a0b2 - a2b0 + a3b1 - a1b3)j +
(a0b3 - a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
Then a.b = a0b0 + v.u + a0u - b0v + v X u]
a2 = (a02 - a12 - a22 - a32)
f(s) = [p(x)]2 ; s = x2
-
general_lee_jr
- Posts: 1811
- Joined: Wed Feb 06, 2002 12:01 am
This is the easiest way to get the compression. Let me know if you need help!
2^k<2*p<=2^(k+1)2*(2*(p+1)-2^k-1)=2*n-2^(k+1)
e = w + ix
e' = w' + ix'
e' = L(e) = [w.cosh(a) - x.sinh(a)] + i[x.cosh(a) - w.sinh(a)]
a = a0 + ia1
b = b0 + ib1
a.b = (a0.b0 - a1b1) + i(a0b1 - b0a1)
1/a = a/a2 = (a0 + ia1) / (a02 - a12)
e'2 = (L.e)2
= L2.e2
w'2 - x'2 = (cosh2(a) - sinh2(a)).(w2 - x2)
= w2 - x2 = e2
L = 1/(1 - V2/c2)1/2 + i(V/c(1 - V2/c2)1/2)
= c/(c2 - V2)1/2 + i(V/(c2 - V2)1/2)
= (c + iV)/(c2 - V2)1/2
= v/(v2)1/2
a2 = (w2 - x2)
a2n = (w2 - x2)n
= w + ix
a(2n + 1) = (w2 - x2)n . a or
a(2n + 1) = a.(w2 - x2)n
(a + b)2 = a2 + a.b + b.a + b2
(a + b)2 = a2 + a.b + (a.b)* + b2
= a2 + 2Re(a.b) + b2
p(x) = a0 + a1.x + a2.x2/2! + a3.x3 /3! ...
= f(s) + x.g(s)
a = a0 + a1i + a2j + a3k
b = b0 + b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 + a1b0 + a2b3 - a3b2)i +
(a0b2 + a2b0 + a3b1 - a1b3)j +
(a0b3 + a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 - a1b0 + a2b3 - a3b2)i +
(a0b2 - a2b0 + a3b1 - a1b3)j +
(a0b3 - a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
Then a.b = a0b0 + v.u + a0u - b0v + v X u]
a2 = (a02 - a12 - a22 - a32)
f(s) = [p(x)]2 ; s = x2

2^k<2*p<=2^(k+1)2*(2*(p+1)-2^k-1)=2*n-2^(k+1)
e = w + ix
e' = w' + ix'
e' = L(e) = [w.cosh(a) - x.sinh(a)] + i[x.cosh(a) - w.sinh(a)]
a = a0 + ia1
b = b0 + ib1
a.b = (a0.b0 - a1b1) + i(a0b1 - b0a1)
1/a = a/a2 = (a0 + ia1) / (a02 - a12)
e'2 = (L.e)2
= L2.e2
w'2 - x'2 = (cosh2(a) - sinh2(a)).(w2 - x2)
= w2 - x2 = e2
L = 1/(1 - V2/c2)1/2 + i(V/c(1 - V2/c2)1/2)
= c/(c2 - V2)1/2 + i(V/(c2 - V2)1/2)
= (c + iV)/(c2 - V2)1/2
= v/(v2)1/2
a2 = (w2 - x2)
a2n = (w2 - x2)n
= w + ix
a(2n + 1) = (w2 - x2)n . a or
a(2n + 1) = a.(w2 - x2)n
(a + b)2 = a2 + a.b + b.a + b2
(a + b)2 = a2 + a.b + (a.b)* + b2
= a2 + 2Re(a.b) + b2
p(x) = a0 + a1.x + a2.x2/2! + a3.x3 /3! ...
= f(s) + x.g(s)
a = a0 + a1i + a2j + a3k
b = b0 + b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 + a1b0 + a2b3 - a3b2)i +
(a0b2 + a2b0 + a3b1 - a1b3)j +
(a0b3 + a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
a.b = (a0b0 + a1b1 + a2b2 + a3b3) +
(a0b1 - a1b0 + a2b3 - a3b2)i +
(a0b2 - a2b0 + a3b1 - a1b3)j +
(a0b3 - a3b0 + a1b2 - a2b1)k
a = a0 + v ; where v = a1i + a2j + a3k
b = b0 + u ; where u = b1i + b2j + b3k
Then a.b = a0b0 + v.u + a0u - b0v + v X u]
a2 = (a02 - a12 - a22 - a32)
f(s) = [p(x)]2 ; s = x2
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Guest
-
general_lee_jr
- Posts: 1811
- Joined: Wed Feb 06, 2002 12:01 am
-
general_lee_jr
- Posts: 1811
- Joined: Wed Feb 06, 2002 12:01 am