Wolfgang Stroessner
1997-12-08, 05:14 PM
John Foss wrote:
> The skill levels are designed to give the rider freedom in choosing the
> (eventually) 10 mounts to be used. My own personal policy (and suggested for
> everyone else) is to allow only one "mirror image" mount. So if the rider
> mounts with the left foot for level I and the right foot for level II, each
> succeeding mount must be of a different type, not just opposite side.
Do you expect a level n candidate to show 1+2+...+n = n*(n+1)/2 different mounts
(1 for level 1, 2 more for level 2 and so on). Or is it sufficient to know n
mounts, i.e. you are allowed to use the n-1 mounts you used for level n-1 again
for level n.
Ok, I'm a mathematician and there may be some people out there who don't like
abstract variables like this n I used above. So for all of you who already swear
on me, here's the same thing in a more understandable way: how many different
mounts do you need for level 3? Is the answer 3 or 6? The number 6 results from
1 mount for level 1, another 2 mounts for level 2 and three more for level 3,
1+2+3=6. In the latter case you need 55 different mounts to achieve level 10!
Wolfgang
\\\|///
| ~ ~ |
(- 0 0 -) +----------oOOo-(_)-oOOo---------------------------------
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| |
| Wolfgang Stroessner Phone: +49 30 4537159 (home) | +49 30 2093-2352 (office)
| | Bruesseler Str. 37 Fax: +49 30 2093-2727 (office) | 13353 Berlin eMail:
| Stroess@Mathematik.HU-Berlin.DE | Germany
| http://spectrum.mathematik.hu-berlin.de/~stroess | Oooo. |
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) / \ ( (_/ \_)
> The skill levels are designed to give the rider freedom in choosing the
> (eventually) 10 mounts to be used. My own personal policy (and suggested for
> everyone else) is to allow only one "mirror image" mount. So if the rider
> mounts with the left foot for level I and the right foot for level II, each
> succeeding mount must be of a different type, not just opposite side.
Do you expect a level n candidate to show 1+2+...+n = n*(n+1)/2 different mounts
(1 for level 1, 2 more for level 2 and so on). Or is it sufficient to know n
mounts, i.e. you are allowed to use the n-1 mounts you used for level n-1 again
for level n.
Ok, I'm a mathematician and there may be some people out there who don't like
abstract variables like this n I used above. So for all of you who already swear
on me, here's the same thing in a more understandable way: how many different
mounts do you need for level 3? Is the answer 3 or 6? The number 6 results from
1 mount for level 1, another 2 mounts for level 2 and three more for level 3,
1+2+3=6. In the latter case you need 55 different mounts to achieve level 10!
Wolfgang
\\\|///
| ~ ~ |
(- 0 0 -) +----------oOOo-(_)-oOOo---------------------------------
--------------------+
| |
| Wolfgang Stroessner Phone: +49 30 4537159 (home) | +49 30 2093-2352 (office)
| | Bruesseler Str. 37 Fax: +49 30 2093-2727 (office) | 13353 Berlin eMail:
| Stroess@Mathematik.HU-Berlin.DE | Germany
| http://spectrum.mathematik.hu-berlin.de/~stroess | Oooo. |
+---------.oooO-----( )----------------------------------------------------+ ( )
) / \ ( (_/ \_)