Formulae for Hyperdrive, Transwarp and Slipstream

Enola Straight · Post by **Enola Straight** » 2002-12-28 04:24pm

According to Graham Kennedy's site

the formula for calculating a transwarp factor is basically Tw F (x)=x^4*x^1/3.

What are the formula for Hyperdrive and Quantum Slipstream Drive?

Robert Walper · Post by **Robert Walper** » 2002-12-28 04:49pm

I haven't the faintest clue.

However, I thought I should mention that while playing with a calculator, I realized that if one applies a exponent of 4 to any warp factor(ie: 1, 9.9, etc), you get a factor of C which seems similar to some factors others have suggest for warp.

Master of Ossus · Post by **Master of Ossus** » 2002-12-28 04:59pm

It is unclear. The linear scale for hyperdrives, as demonstrated in the RPG, is obviously not accurate. From EU sources, it appears to be some sort of a logarithmic scale, or something even stranger.

Typhonis 1 · Post by **Typhonis 1** » 2002-12-28 05:28pm

umm wasnt Warp factor once the Warp speed cubed IE warp 2 was 8c

Durandal · Post by **Durandal** » 2002-12-28 06:16pm

Enola Straight wrote:According to Graham Kennedy's site the formula for calculating a transwarp factor is basically Tw F (x)=x^4*x^1/3.

What are the formula for Hyperdrive and Quantum Slipstream Drive?

Therefore Warp 10 is a finite number. Kennedy's formula fails.

Durandal · Post by **Durandal** » 2002-12-28 06:18pm

Addendum: The proper formula would be an asymptotal one, where as x gets closer and closer to 10, y grows infinitely larger. Also, depending on the relationship between warp and transwarp, you could have a warp function on one side of the asymptote, and a transwarp function on the other side, so long as each function is undefined at x = 10. Kennedy's formula does not satisfy this requirement, therefore it is wrong.

Darth Servo · Post by **Darth Servo** » 2002-12-28 06:32pm

Hyperdrive: unknown, not enough data to generate an actual formula.

Transwarp, regular warp, slipstream, etc: whatever the writers want it to be for this week's episode.

The Nomad · Post by **The Nomad** » 2002-12-29 01:54am

Durandal wrote:Addendum: The proper formula would be an asymptotal one, where as x gets closer and closer to 10, y grows infinitely larger. Also, depending on the relationship between warp and transwarp, you could have a warp function on one side of the asymptote, and a transwarp function on the other side, so long as each function is undefined at x = 10. Kennedy's formula does not satisfy this requirement, therefore it is wrong.

What about an analogy with relativistic/newtonian mechanics ? The formula is accurate for low warp speeds, but as warp gets higher than, say, factor 8, the formula changes and y tend to infinite as x gets close to 10 ?

SWPIGWANG · Post by **SWPIGWANG** » 2002-12-29 02:26am

hyperdrive = max speed 1.5c DONE

Post by **Darth Wong** » 2002-12-29 02:27am

We've just learned that GK cannot perform a simple curve-fit. And this guy teaches science?

Patrick Degan · Post by **Patrick Degan** » 2002-12-29 04:41am

I sort of liked Darth Wong's suggestion for the Voyager FTL formula: sacrificing live chickens to the Warp Gods while speaking incantations in the tongue of the Old Ones.

Enola Straight · Post by **Enola Straight** » 2002-12-29 01:09pm

TOS warp formula: Wf (x)=(x^3)*c

TNG/DS9/VOY warp formula: Wf (x)=((x^3)*(x^1/3))*c from warp factors 1 to 9, inclusive.

Between 9 and 10 the formula is WAY to complicated...rising asymptotically to infinity.

Durandal · Post by **Durandal** » 2002-12-29 01:45pm

The Nomad wrote:
Durandal wrote:Addendum: The proper formula would be an asymptotal one, where as x gets closer and closer to 10, y grows infinitely larger. Also, depending on the relationship between warp and transwarp, you could have a warp function on one side of the asymptote, and a transwarp function on the other side, so long as each function is undefined at x = 10. Kennedy's formula does not satisfy this requirement, therefore it is wrong.
What about an analogy with relativistic/newtonian mechanics ? The formula is accurate for low warp speeds, but as warp gets higher than, say, factor 8, the formula changes and y tend to infinite as x gets close to 10 ?

I dunno, maybe. I guess. How hard is it to create a formula with a denominator of x-10, though?

Specialist · Post by **Specialist** » 2002-12-29 11:56pm

Here is the real formula that I got from here.

W = (SQRT(10)/SQRT(10-ABS(B5))-1)*[Maximum velocity possible using warp]

HemlockGrey · Post by **HemlockGrey** » 2002-12-29 11:58pm

I believe that gutteral shriek was the sound of this entire topic screeching over my head.

Specialist · Post by **Specialist** » 2002-12-30 12:03am

Grr

Replace b5 with number greater than equal 0 and less than 10

W = (SQRT(10)/SQRT(10-ABS(V))-1)*[Maximum velocity possible using warp]

Durandal · Post by **Durandal** » 2002-12-30 01:17am

The Specialist wrote:W = (SQRT(10)/SQRT(10-ABS(V))-1)*[Maximum velocity possible using warp]

This doesn't work, as the denominator at x = 10 is negative. Unless you meant this:

v(x) = [C/(sqrt(10 - x))] - 1
where
C = (sqrt(10))(V_max)
on the domain
D: {x| 0 < x < 10}

That function would approach infinity rather quickly because of the square root on the bottom, though. Perhaps too rapidly, but it's still better than Kennedy's.

Vertigo1 · Post by **Vertigo1** » 2002-12-30 01:18am

IIRC, there is a fixed number stated for Transwarp. In one episode of Voyager, the Delta Flyer was clocked at 400LY/sec as stated by Lameway. It was in part 2 of the episode where a borg queen wanted seven to rejoin the collective.

Durandal · Post by **Durandal** » 2002-12-30 01:25am

Just remembered, that formula doesn't work because it includes the term for maximum achievable speed using warp. That term would be the local maximum of the function. The local max is a point where the derivative is zero. In the case of a function describing warp factors, the function must keep increasing exponentially as it goes to x = 10. The slope of the tangent line, therefore, would get closer and closer to infinity, which is why a local max can never exist at an asymptote.

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Formulae for Hyperdrive, Transwarp and Slipstream

Formulae for Hyperdrive, Transwarp and Slipstream

Re: Formulae for Hyperdrive, Transwarp and Slipstream