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[Kirian]

How would that mechanic work?

It wouldn't.

Um er well I didn't expect to get called to task on this one and I haven't read the Guilds rulebook yet so don't expect anything very scientific or consistent with Dominion's rules but...what I had in mind was that you did not have to have $4 and you could underpay by any amount.

I think with an additional buy it might get bought a lot at -$8.

I dare say it's wrong to call people out for unworkable mechanics in this particular thread.

[sudgy]

Actually, an Inverse Masterpiece would be interesting too.  "When you buy this, you may underpay for it.  For each $1 you underpaid, gain a copper."

It would be pretty good in Gardens games...

[KingZog3]

Actually, an Inverse Masterpiece would be interesting too.  "When you buy this, you may underpay for it.  For each $1 you underpaid, gain a copper."

It would be pretty good in Gardens games...

Looks like Cache in a way. Mostly the only reason to go for this is Alt VP.

[Tables]

Exp(and), Action, $1096.663
Trash a card from your hand. Gain a card costing up to e^{its cost in coins} in coins.

+1 just for the cost. Although Google did annoy me when I typed in log(1096.663) just to check, and it decided to interpret log as log₁₀, not log_e. As a mathematician, this disappoints me.

[eHalcyon]

Exp(and), Action, $1096.663
Trash a card from your hand. Gain a card costing up to e^{its cost in coins} in coins.

+1 just for the cost. Although Google did annoy me when I typed in log(1096.663) just to check, and it decided to interpret log as log₁₀, not log_e. As a mathematician, this disappoints me.

Most people use ln() for that, yeah?

[sudgy]

Exp(and), Action, $1096.663
Trash a card from your hand. Gain a card costing up to e^{its cost in coins} in coins.

+1 just for the cost. Although Google did annoy me when I typed in log(1096.663) just to check, and it decided to interpret log as log₁₀, not log_e. As a mathematician, this disappoints me.

Isn't log supposed to always mean base 10 and ln to mean base e?

[SirPeebles]

Exp(and), Action, $1096.663
Trash a card from your hand. Gain a card costing up to e^{its cost in coins} in coins.

+1 just for the cost. Although Google did annoy me when I typed in log(1096.663) just to check, and it decided to interpret log as log₁₀, not log_e. As a mathematician, this disappoints me.

Isn't log supposed to always mean base 10 and ln to mean base e?

No.

[Warfreak2]

One of my professors told us that we were grown-ups now, so we just write log instead of ln, and it's always base e; and we stop writing the modulus sign in the integral of 1/x.

[NoMoreFun]

I always use ln, but I get annoyed every time I see "log" to mean log base 10. I can't remember when I've ever used a base 10 log.

[ChocophileBenj]

Base 10 log are used in chemistry with pH, I think.
But it's true I mostly write log or log10 for the logarithm base 10 and ln for the "classical" logarithm.

And by the way, in French, we would say this card would be free to buy because "logarithme ne paie rien" (logarithm pays nothing)

[heron]

The only time I used base ten logs was in discrete math when we had to find the number of digits in 2^100 and 100!.

[Kirian]

Chemists use common log all the time, for pH, pKa, and spectroscopy.  We also use natural log sometimes.  Common log are also used in acoustics and acoustic engineering (decibels).  Other fields:

Geology: base sqrt(1000) for the Richter scale and mass moment scale
Astronomy: base 100^(1/5) for magnitude, because 2.511 is totally memorable or something, don't ask me
Music: base 2^(1/12) for a twelve-tone scale

[SirPeebles]

Chemists use common log all the time, for pH, pKa, and spectroscopy.  We also use natural log sometimes.  Common log are also used in acoustics and acoustic engineering (decibels).  Other fields:

Geology: base sqrt(1000) for the Richter scale and mass moment scale
Astronomy: base 100^(1/5) for magnitude, because 2.511 is totally memorable or something, don't ask me
Music: base 2^(1/12) for a twelve-tone scale

With the exception of perhaps that music application, the others are just arbitrarily use base 10 by convention.  You could just as well you natural logarithms for something like pH or acoustics or the Richter scale.

[theory]

One of my professors told us that we were grown-ups now, so we just write log instead of ln, and it's always base e; and we stop writing the modulus sign in the integral of 1/x.

This doesn't really make any sense to me.  It's easier to write ln than log, and ln is unambiguous whereas log is ambiguous.  I know it is pretty common for "log" to mean base e, but I've also been told before that "log" / "lg" always means log base 10 and "ln" means log base e. 

[Warfreak2]

I've also been told

Lots of people say lots of things.

[SirPeebles]

One of my professors told us that we were grown-ups now, so we just write log instead of ln, and it's always base e; and we stop writing the modulus sign in the integral of 1/x.

This doesn't really make any sense to me.  It's easier to write ln than log, and ln is unambiguous whereas log is ambiguous.  I know it is pretty common for "log" to mean base e, but I've also been told before that "log" / "lg" always means log base 10 and "ln" means log base e.

10 just isn't a special number.  There's no reason for a mathematician to reserve a special piece of notation for logarithms base 10.  It's the same reason we don't use degrees.  We also tend to get upset when people call f(x) a function:  the function is f, the notation f(x) denotes f evaluated at x.  Oh, and you don't need dx in an integral, so long as you've specified the function that you are integrating.  The dx slot is often used by mathematicians to specify which measure is being used.

[theory]

10 is a special number in the real world, or else why does everyone use the metric system? 

I'm just saying it's not unreasonable to interpret "log" as base 10 log, since it means natural log only to mathematicians, and to everyone else natural logs are written as "ln".

[mail-mi]

Tangent
Action-Duration.
While this is in play, talk about something completely off the subject of the thread. This stays in play until the matter is resolved.

[eHalcyon]

Tangent
Action-Duration.
While this is in play, talk about something completely off the subject of the thread. This stays in play until the matter is resolved.

Ironically, this post is less a tangent than a smooth segue back to the original topic.

[KingZog3]

Argument
Action-Duration
When you play this, your opponent must admit their mistake and that in fact, you are correct.
(This is not in the Supply)

Counter Argument
Action-Reaction
Gain an Argument
--------
You can reveal this when your opponent plays an Argument. If you do, immediately discard an opponent's argument.

[liopoil]

Tangent
Action - Reaction: $2

+1 action
+1 buy
+coins equal to the number of points the player opposite to you divided by the number of points the player to your left or right (your choice) has, rounded to the nearest integer.
--------------------------------------
When someone starts to talk about logarithms, you may reveal this from your hand. If you do, start talking about trigonometry instead.

[eHalcyon]

Argument
Action-Duration
When you play this, your opponent must admit their mistake and that in fact, you are correct.
(This is not in the Supply)

Counter Argument
Action-Reaction
Gain an Argument
--------
You can reveal this when your opponent plays an Argument. If you do, immediately discard an opponent's argument.

Internet
$0 - Reaction
When your opponent plays an Argument or reveals a Counter Argument, you may reveal this. If you do, nuh-uh, their card had no effect.

[WanderingWinder]

10 is a special number in the real world, or else why does everyone use the metric system?

 
Because although polydactylism is dominant, it's rather uncommon.

I'm just saying it's not unreasonable to interpret "log" as base 10 log, since it means natural log only to mathematicians, and to everyone else natural logs are written as "ln".

Huh, I'll have to tell the dozens of non-mathematicians I know who use 'log' for log base e that they're doing it wrong.
It seems kind of weird that the people who are experts in the field are the ones who supposedly have this part of their field wrong.

Seriously, though, it's just a convention thing, like driving on the right (or left), which variable name i assigned to the radial or azimuthal angle in spherical coordinates (or actually, to anything ever), etc. It's not really that one way or the other is 'right' or 'wrong', but different people have different, rather ingrained at this point, conventions.

Incidentally, the reason I like 'log' to be base e is that the only times I've ever seen where the base on a logarithm hasn't been arbitrary, it needed to be e (or sometimes base 2). But this is not important compared to being able to understand what is what.

[eHalcyon]

For some reason I recall seeing ln used for base 2. Am I crazy or is that actually a convention in some circles?

[pst]

For some reason I recall seeing ln used for base 2. Am I crazy or is that actually a convention in some circles?

I haven't seen that, but Knuth uses lg for binary logarithm, which I think is confusing. (The correct way to write binary logarithms is of course lb.)