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Is this coming?


Joni

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With all this presumption I thought I would run some real calculations in an attempt to provide a realistic prediction of the release time frame:

ΠN(x1,…,xn,xn+

Therefore, the F-14 Module will be released when it is released.

:thumbup:

 

:unsure:

[sIGPIC][/sIGPIC]

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Do u have some insider info about how far along the F14 artwork is? :O All we have been show is the placeholder textures (apart from a few pics of specific parts)

 

Blacklion / Nick is one of our testers and advisors.

/Daniel

 

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Blacklion / Nick is one of our testers and advisors.

 

aren't you also an insider? :) tell us something

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With all this presumption I thought I would run some real calculations in an attempt to provide a realistic prediction of the release time frame:

 

ΠN(x1,…,xn,xn+1)Π−1N(t1,…,tn)=11−xn+1(x1,…,xn),=(2t1,…,2tn,∥t∥2−1)∥t∥2+1.

ΠN(x1,…,xn,xn+1)=11−xn+1(x1,…,xn),ΠN−1(t1,…,tn)=(2t1,…,2tn,‖t‖2−1)‖t‖2+1.

 

In these coordinates, the induced (round) metric on the unit sphere is well-known (and easily checked) to be conformally-Euclidean:

 

g(t)=4(dt21+⋯+dt2n)(∥t∥2+1)2.

g(t)=4(dt12+⋯+dtn2)(‖t‖2+1)2.

 

Stereographic projection from the north pole (0,…,0,r)(0,…,0,r) of Sn®Sn® is given by the scaled mapping x↦t=rΠN(x/r)x↦t=rΠN(x/r), whose inverse is t↦x=rΠ−1N(t/r)t↦x=rΠN−1(t/r), i.e.,

 

rΠN(x1/r,…,xn/r,xn+1/r)rΠ−1N(t1/r,…,tn/r)=1r−xn+1(x1,…,xn),=(2t1,…,2tn,r(∥t/r∥2−1))∥t/r∥2+1.

rΠN(x1/r,…,xn/r,xn+1/r)=1r−xn+1(x1,…,xn),rΠN−1(t1/r,…,tn/r)=(2t1,…,2tn,r(‖t/r‖2−1))‖t/r‖2+1.

 

The induced metric in these coordinates is consequently

 

r2g(t/r)=4(dt21+⋯+dt2n)(∥t/r∥2+1)2=4r4(dt21+⋯+dt2n)(∥t∥2+r2)2.

 

Therefore, the F-14 Module will be released when it is released.

 

If i calculate this right.... the outcome = in 2 weeks

 

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If i calculate this right.... the outcome = in 2 weeks

You've almost got it wright. You need to apply the Banach fixed-point theorem to arrive to a fixed release date. Once you do it, the result is: 2 weeks from now + sqrt( (it's released when it's released)^2) - sqrt(x^2) just to avoid a miscalculation when it had been already released ;)

F/A-18, F-16, F-14, M-2000C, A-10C, AV-8B, AJS-37 Viggen, F-5E-3, F-86F, MiG-21bis, MiG-15bis, L-39 Albatros, C-101 Aviojet, P-51D, Spitfire LF Mk. IX, Bf 109 4-K, UH-1H, Mi-8, Ka-50, NTTR, Normandy, Persian Gulf... and not enough time to fully enjoy it all

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With all this presumption I thought I would run some real calculations in an attempt to provide a realistic prediction of the release time frame:

 

ΠN(x1,…,xn,xn+1)Π−1N(t1,…,tn)=11−xn+1(x1,…,xn),=(2t1,…,2tn,∥t∥2−1)∥t∥2+1.

ΠN(x1,…,xn,xn+1)=11−xn+1(x1,…,xn),ΠN−1(t1,…,tn)=(2t1,…,2tn,‖t‖2−1)‖t‖2+1.

 

In these coordinates, the induced (round) metric on the unit sphere is well-known (and easily checked) to be conformally-Euclidean:

 

g(t)=4(dt21+⋯+dt2n)(∥t∥2+1)2.

g(t)=4(dt12+⋯+dtn2)(‖t‖2+1)2.

 

Stereographic projection from the north pole (0,…,0,r)(0,…,0,r) of Sn®Sn® is given by the scaled mapping x↦t=rΠN(x/r)x↦t=rΠN(x/r), whose inverse is t↦x=rΠ−1N(t/r)t↦x=rΠN−1(t/r), i.e.,

 

rΠN(x1/r,…,xn/r,xn+1/r)rΠ−1N(t1/r,…,tn/r)=1r−xn+1(x1,…,xn),=(2t1,…,2tn,r(∥t/r∥2−1))∥t/r∥2+1.

rΠN(x1/r,…,xn/r,xn+1/r)=1r−xn+1(x1,…,xn),rΠN−1(t1/r,…,tn/r)=(2t1,…,2tn,r(‖t/r‖2−1))‖t/r‖2+1.

 

The induced metric in these coordinates is consequently

 

r2g(t/r)=4(dt21+⋯+dt2n)(∥t/r∥2+1)2=4r4(dt21+⋯+dt2n)(∥t∥2+r2)2.

 

Therefore, the F-14 Module will be released when it is released.

 

:thumbup:

 

Exactly - that's precisely the same result I got !

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