Xeroc

You have a typo:

It is:

log base b of n = (log n) / (log

{where log n and log b are common logs}

It should be:

log base b of n = (log n ) / (log b )

{where log n and log b are common logs}

Those typos can be sneaky little devils!

:devil:

The answers are:

1) log 8

2) (log 16x^3/y) / log 6

3) (log 7x^3/y) / log 2

4) (log 1/24) / log 5

5) log 16 / log 8 = 4/3

6) 5 log x + 2 log y - (log 2 + log y)

Keep up the good work Master_Q!

Whether the quantum world "dances" the same way or not depends on whether we have time version 3 or 4, Master Q. If we have version 3, then if you "repeat" it will work the same way every time. If we have version 4, then it will be a chance interacton each time - could happen differently.

Also...

How the paradoxes are solved (continued from previous reply)

Supposing the "time scenario" is 3 or 4 (really doesn't matter), then the paradoxes are solved differently...

I'm using the "Grandfather Paradox"

Subset A:

1. You travel back in time and kill yourself

2. Since you killed yourself no one grows up to travel back and kill you

3. So ... You don't exist in the future to go back in time and kill yourself

4. Your younger version therfore grows up

5. You then go back and kill yourself

6. Since you killed yourself no one grows up to travel back and kill you

7. etc.

It just keeps repeating until...

(big #). You go back in time to kill yourself but a capacitor blows on your time machine and you can't go back in time and kill yourself - the timeline is stable!

All you would remember is a freak accident kept you from going back in time to kill yourself! (you don't remember any "looping") You would notice every time you tried to make a paradox a freak accident would stop you!!!

This phenomenon is called a "temporal loop" and the conclusion is called "chance compensation"

I don't really know how it would work in Subset B where all time travel is simultaneous - you would both be dead and alive at the same time??? It doesn't make sense!

Master_Q! Nice to see you here!

Anyway, first, before we work out paradoxes, we have to determine what type of time-travel exists! There are a few theories:

1. Nonexistent Time - "Time" does not exist as an actual substance - it is an entirely man-made concept, therefore, time travel is impossible - there is nowhere to travel to!

2. Static Time - Time exists, however, due to physical laws - time tavel is impossible

3. Editiable Time - Time is sort of "set in place" - changes don't affect many things and you can go back in time and change little. When you go back in time you edit the already existing time. This is the type of time favored in most time travel scenarios - For Example: "Back to the future"

4. Resetable Time - When you travel back in time, you "reset" the future - all the decisions and chance events reset. So, for instance, you travel back to World War II to historically observe it, right? To you great amazement Germany Wins! This could happen because the decisions of the pilots and troops and commanders are reset and perhaps this time Germany fights better! This is obviousy really bad! Time travel is very dangerous!

What is also interesting is that there are really some subsets of 3/4.

Subset A: Sequential time travel - Time travel happens in sequence - You can't tell yourself to leave you some money! The future hasn't happened yet!

Subset B: Simultaneous time travel - All time travel happens at the same time - you can tell yourself to leave some money for you (supposing you aren't broke in the future!)

Coming soon...how the paradoxes are solved in different versions of time travel

Holdecks: Cool!!!

I think they will eventually become a reality. Actually, the best ideas I thought for use of the holodecks are:

1. Fake places - like when professor moriorty (sp?) made it seem like Picard and Data never left the Holodeck!

2. Simulated Ships - They should have holographic ships! Cheap to make - If your enemy sees 100 ships (when you actually only have 25) they might retreat because you look like you have 3 times as many ships! Also, if they do battle you, they will waste a lot of fire on fake ships!

How they work:

I also happen to have the ST Technical Manual!

They work with a combination of three things:

1. Light (the "photons" they always refer to in VOY episodes)

2. Forcefields - Make most of the texture you feel in holodecks. These forcefields are much more complicated than normal security fields. They cause particles to vibrate in complex wave functions (rather than more efficent simple waveforms for security fields) to generate texture.

3. Instant replicated matter - used on the surface of an object for complex texture. An object is often replicated if you are going to pick it up (or eat it if it was food!) or extensively manipulate it.

Phasers can be fired at warp - as long as the two ships are close enough together so that the warp fields meet. That way the phasers' particles are "carried" by the combined fields.

Also - the photon torpedos - if they traveled at warp - you wouldn't be able to see them! They would go too fast! That wouldn't make for good battle scenes though!

Very StarTrekish! It's great!

The smiles do look a little odd though!

More Quotes:

"Please, Spock, do me a favor ... 'n' don't say it's `fascinating'..." -- Dr. McCoy

"No... but it is... interesting..." -- Spock (The Ultimate Computer)

"... and tell Doctor McCoy, he should have wished me luck." -- Spock (The Immunity Syndrome)

"Shut-up, Spock! We're rescuing you!" -- McCoy

"Why, thank you, captain McCoy." -- Spock, to McCoy after he tells Kirk something about leaving him (The Immunity Syndrome)

"You! What planet is this?" -- McCoy, to a homeless person upon appearing in 1930's Chicago (City on the Edge of Forever)

"Well Bones, do the new medical facilities meet with your approval?" -- Kirk

"They do not. It's like working in a damn computer center" -- McCoy (Star Trek: TMP)

Who's been holding up the damn elevator?" -- McCoy (Star Trek II)

"It has always been easier to destroy that to create" -- Spock

"Not anymore! Now we can do both at the same time. According to myth, the Earth was created in six days. Now watch out! Here comes Genesis, we'll do it for ya in six minutes." -- McCoy, in Kirk's ready room, after viewing the Project Genesis film (Star Trek II)

"Where are we going?" -- McCoy

"Where they went." -- Kirk

"What if they went nowhere?" -- McCoy

"Then this will be your big chance to get away from it all." -- Kirk, directing the search party to beam to the last coordinates of the transporter room in the deserted science lab (Star Trek II)

"How many fingers am I holding up?" -- Kirk, making the Vulcan salute

"That's not very damn funny." -- McCoy (Star Trek III)

"My God, what have I done?" -- Kirk

"What you always do. Turn death into a fighting chance to live." -- McCoy (Star Trek III)

"Sounds more like the goddam Spanish Inquisition." -- McCoy, to Kirk, after listening to to two 20th century doctors discussing treatments in an elevator (Star Trek IV)

"I was attempting to ascertain the meaning of the lyrics." -- Spock

"It's a song, you green-blooded...Vulcan. You don't analyse it. The point is you have a good time singing it." -- McCoy

"Oh, I am sorry, Doctor. Were we having a good time?" -- Spock, after trying to sing "Row Row Row Your Boat" (Star Trek V)

"Jim, you don't go around asking the Almighty for his I.D.!" -- McCoy (Star Trek V)

Deanna Troi: If you're looking for my professional opinion as ship's counselor: he's nuts.

Riker: I'll be sure to note that in my log.

ST: First Contact

James Bond is awesome! Great action movies!

Can't decide on a favorite, however.

Did you know that they got "Q" from James Bond!?!?

Sounds like someone likes having fun with peoples minds! (the site's author)

There are some big blunders:

I began doing research on the net, looking for clues, desperately trying to find anything that could explain the images in the photos. I used key words in the search engine - words that exactly described the images. That's when all hell broke loose. After a few minutes the cursor suddenly started moving by itself, followed by a 'whirring' noise from the hard-disk. I froze with anticipation and by the time I thought to unplug the phone line it had stopped. I had never experienced anything like this before, but I'd been told by a friend that if the cursor ever moved by itself and there was a 'whirring' from the hard-drive, they were the sure signs that indicated someone was hacking into my computer. I picked up the handset to phone my friend. I wanted to tell him what had just happened. My eyes bugged with surprise as I heard a 'clicking' sound. Someone was tapping my phone. My gut feeling told me to get the hell out of the house.

When someone is hacking into your computer there is no 'whirring' sound and the cursor doesn't move by itself.

People search for the wierdest stuff on search engines all the time. Those particular words are probably searched for multiple times every day. No one takes notice!

Also, if anyone can track you down by what you type in a search engine, they could certainly track down who put up this web site!

It isn't even a cleanly-written (and much less believeable) hoax.

Also, the amount of time he is 'waiting' to post these photos he could probably digitally image whatever the heck he feels like making.

The answer is in the FAQ section of The Official Star Trek Website!

STARTREK.COM: Frequently Asked Questions - Stardates