On 8/8/2022 9:05 PM, henh...@gmail.com wrote:
This problem was originated by Mitsunobu Matsuyama, a reader in Tokyo. He sent me a supply of Japanese one-yen coins and told me
of the following remarkable facts about them that are not well known
even in Japan.
The one-yen coin is made of pure aluminum, has aThese remarkable facts are also not well known to various numismatic
radius of exactly [TWO] centimeter[s], and weighs just one gram.
web sites, such as
https://currencies.fandom.com/wiki/Japanese_1_yen_coin
and
https://en.numista.com/catalogue/pieces1590.html
(When translating from Japanese, or even when measuring in other
languages, take care not to confuse 半径 with 直径 -- nor, for that matter, with 尺骨.)
(Translations courtesy of https://translate.google.com/ after I'd
formed a suspicion. The coin as described would be *thin*!)
--
eso...@comcast-dot-net.invalid > Look on my code, ye Hackers, and guffaw!
This problem was originated by Mitsunobu Matsuyama, a reader in Tokyo. He sent me a supply of Japanese one-yen coins and told meThese remarkable facts are also not well known to various numismatic
of the following remarkable facts about them that are not well known
even in Japan.
The one-yen coin is made of pure aluminum, has a
radius of exactly [TWO] centimeter[s], and weighs just one gram.
On 8/8/2022 9:05 PM, henh...@gmail.com wrote:
This problem was originated by Mitsunobu Matsuyama, a reader inThese remarkable facts are also not well known to various numismatic
Tokyo. He sent me a supply of Japanese one-yen coins and told me
of the following remarkable facts about them that are not well
known
even in Japan.
The one-yen coin is made of pure aluminum, has a
radius of exactly [TWO] centimeter[s], and weighs just one
gram.
web sites, such as
https://currencies.fandom.com/wiki/Japanese_1_yen_coin
and
https://en.numista.com/catalogue/pieces1590.html
(When translating from Japanese, or even when measuring in other
languages, take care not to confuse 半径 with 直径 -- nor, for that matter, with 尺骨.)
(Translations courtesy of https://translate.google.com/ after I'd
formed a suspicion. The coin as described would be *thin*!)
Martin Gardner [ The Last Recreations: Hydras, Eggs, and Other
Mathematical Mystifications [1 ed.]
(Springer, 1997)
-------------- that is an odd title. Was this the
last in the series?
The one-yen coin is made of pure aluminum, has a
radius of exactly [TWO] centimeter[s], and weighs just one gram.
Thus a supply of yens can be used with a balance scale for determining the weight of small objects in grams. It also can be used on a plane surface
for measuring distances in centimeters.
It is easy to see how one-yen coins can be placed on a line to
measure distances in even centimeters (two centimeters, four, six, and
so on), but can they also be used to measure odd distances (one, three,
five, and so on)? Show how a supply of one-yen coins can be used for measuring all integral distances in centimeters along a line.
On 8/8/2022 6:05 PM, henh...@gmail.com wrote:
The one-yen coin is made of pure aluminum, has a
radius of exactly [TWO] centimeter[s], and weighs just one gram.
Thus a supply of yens can be used with a balance scale for determining the weight of small objects in grams. It also can be used on a plane surface for measuring distances in centimeters.
It is easy to see how one-yen coins can be placed on a line to[spoiler space]
measure distances in even centimeters (two centimeters, four, six, and
so on), but can they also be used to measure odd distances (one, three, five, and so on)? Show how a supply of one-yen coins can be used for measuring all integral distances in centimeters along a line.
Find the center of one face:
https://www.instructables.com/How-to-find-the-center-of-a-circle/
If "radius" was a thinko for "diameter", then this is sufficient to
produce a distance of 1 centimeter. If not, then find the midpoint
between the center and any point on the surface.
Martin Gardner [ The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications [1 ed.]
(Springer, 1997)
[ Measuring with Yen ]
This problem was originated by Mitsunobu Matsuyama, a reader in Tokyo. He sent me a supply of Japanese one-yen coins and told me
of the following remarkable facts about them that are not well known
even in Japan.
The one-yen coin is made of pure aluminum, has a
radius of exactly one centimeter, and weighs just one gram.
Thus a supply of yens can be used with a balance scale for determining the weight of small objects in grams. It also can be used on a plane surface
for measuring distances in centimeters.
Our approach to endogenous productivity growth was originated by Jorgenson and Fraumeni ( 1981 ) . The implementation of a general equilibrium model of production that incorporates both substitution among inputs and endogenous ...
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