From VenomousVixen's data and my tests,I do agree your
diminish_return_relation between Item/Skill_faster_run/walk
and the Final_velocity.That Walk_Velocity is calculate as
IAS,while Run_Velocity should cut the %faster_run twice.

But just confused by the "Base=22",
Could you give some more info about how to get the number
"22 frame"?
As your formula shows,50% faster run/walk and 40% are both
17 frame when walk,but in fact they are different.

IMHO,we should ignore the "run/walk action" when discovering
the run/walk velocity.For the moving_distance is based on the
map_unit in D2,(a map_unit is shaped as a diamond,which just
an item on ground takes on,some information is from http://www.lurkerlounge.com/2d/120300.shtml )while the "action"
is based on the frames just like Swing,Shoot,Cast...etc.

The following is what I got:
Real_Walk_Frame =
Base_Walk_Frame/(1+ Total_Walk_Bonus%)
Real_Run_Frames =
Base_Run_Frame/(1+ Total_Run_Bonus% )
*the Total_Walk_Bonus and Total_Run_Bonus are same as yours.

In the end,in character.txt the Basic_Walk_Vilocity is 6 and
Run is 9,this can easily explain why Basic_Run_Frame is 2/3
of Basic_Walk_Frame.But I am unable to find out what the "6"
and "9" means.Hope someone else can help.

Could someone tell me how wide a screen is in yards, and/or how far it is from, say, Kurast Docks to the compelling orb

Then I could record some times for different quantities of +r/w

Where are these formula from?
I've heard about some tests from a guy that these formula isn't correct or just up to 100% FR.

>I've created an excel spread sheet for the calculation, I
>don't know where I can post it, so if somebody want it,
>please tell me how to host a file or host the file for me.

I've also created an excel spread according to your formula.
You can find it here
http://www.wh12.tu-dresden.de/~kanu/Foren/TEST2.xls
but i don't know if these formula is really correct so I'm really worried about it.
I can host your File too if you want.

Some other things I thought about:

1.I think there exists no Item Cap around 120%

2.not every % of FR counts, there must be a spread like the FHR Frame spread

3.skill based FR isn't the same as Item based FR
With the skill based FR it is easier to reach the next FR Frame as the item based would do.

Are these thoughts correct?

I cannot comment on much of this, but the formulae are clearly derived from Dagni's speed formula, as originally posted here. This formula seems to work for all cases where speed is looked at, though the data is incomplete here - as this thread shows.

To your item cap...there is the effective speed cap of 75%; it is possible that beyond 120% until whatever it takes to reach the cap (I cannot think straight right now...it doesn't matter anyway) there is no further reduction in frames. That would explain a couple of things As for not every percentage counting...well, as you can only have a full frame of animation, that is true: you need to gain x over the y you already have to reduce by a single frame, and less than x does nothing. To your third point, my own observations seem to agree with that, though I have no hard data to support it.

EDIT: I always mess up links!

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