unusual mathematical problems

[jack]

seen a couple of interesting and rather unusual problems brought up at the Mathematica forum, the first "Fruit grid sums"
http://community.wolfram.com/groups/-/m/t/307516?p_p_auth=vHs9FlgA
and the follow up "Use Machine Learning to find the best movie ever!" http://community.wolfram.com/groups/-/m/t/309928?p_p_auth=vHs9FlgA

[Mike Lobanovsky]

Hi Jack,

Are these really Mathematica or still Wolfram problems? I always thought Wolfram was a more advanced (i.e. general-purpose, common knowledge) environment with its Internet access, analysis, and self-learning capabilities as compared to the former's strictly mathematical application domain.

[jack]

Hi Mike,
the problems are in Mathematica, Wolfram added quite a number of new functions to version 10 of Mathematica, honestly I don't what exactly the Wolfram language is.

[Mike Lobanovsky]

The Wolfram Language : knowledge-based Programming Cloud environment.

Currently, sort of a rudimentary artificial intelligence on the net. Ultimately, this:

[jack]

apparently I am not the only person confused as to what the Wolfram Language is http://community.wolfram.com/groups/-/m/t/158447?p_p_auth=0EDASTq1
someone was clever enough to ask Wolfram Alpha, still when you go to the Wolfram website there's no way of purchasing the language, although it's freely available for the Raspberry Pi.

[Mike Lobanovsky]

Jack,

In my understanding, WL is a concept. In my inner perception (call it intuition, if you will), it is exactly what's shown in the picture above: "I'm sorry, Dave. I'm afraid I can't do that." (c)

Have a look at the chain of comments below your example problems. It is applicable and it does work but its assumptions and conclusions are not always predictable, so - beware!

 

[jack]

Mike, I am not sure it's just a concept, Mathematica 10 was supposed to have been re-written in the Wolfram Language.

[Mike Lobanovsky]

No, my meaning of "concept" here was not just a "prototype" or "skeleton" but rather an "ideology". I certainly do not like the idea of unlimited-power, uncontrollable and depersonalized cloud (= crowd) computing with free acces to real big data. I am afraid of doctors Jekyll and Frankensteins of all sorts. I've been living behind the Commie curtain for decades and I saw some such degenerates with my own eyes, Jack.

Pedobytes and terrorbytes. (c)2014 Charles E V Pegge, "Horrors of Modern Computing", thinBasic Publishing House

[jack]

I am concerned as well about the cloud metaphor, especially since we know that the powers that be are monitoring all communications.
I am off to bed, have a long day at work tomorrow.

[Mike Lobanovsky]

G'night Jack.

[Charles Pegge]

Pedobytes and terrorbytes. (c)2014 Charles E V Pegge, "Horrors of Modern Computing", thinBasic Publishing House

femabytes

[jack]

thank you Charles, love your humor.

[Mike Lobanovsky]

Homobites of faminine gender.

Stay tuned. More horrors to follow.

[Charles Pegge]

Solving the fruit grid:

A few manual rules included  dramatically shortens the processing time.

Code: [Select]


'Fruit grid sums
================
'http://community.wolfram.com/groups/-/m/t/307516?p_p_auth=vHs9FlgA

'MANUAL OPTIMISATIONS
'limes=6 [y5]
'pear+avocado=8 [y3]
'melon+cherry+strawberry+apple=18 [y2]
'banana+melon+pine+pine+apple=22 [x1]


'RUN PERMUTATIONS
sys ok
'   lime,apple,pear,avocado,melon,cherry,strawberry,banana,grape,pineapple
sys li,ap,pe,av,me,ch,st,ba,gr,pn
li=6
for pe=0 to 9
for av=0 to 9
if pe+av=8 then
for ap=0 to 9
for me=0 to 9
for ch=0 to 9
for st=0 to 9
if me+ch+st+ap=18 then
for ba=0 to 9
for gr=0 to 9
for pn=0 to 9
  'row tests
  if ba+st+gr+ap+pn+pe<>26 then jmp fwd ns
  if me+av+ch+st+pe+ap<>26 then jmp fwd ns
' if av+pe+av+pe+av+pe<>24 then jmp fwd ns
  if pn+ch+st+ba+me+gr<>22 then jmp fwd ns
' if li+li+li+li+li+li<>36 then jmp fwd ns
  if ap+ba+pn+ch+ba+st<>30 then jmp fwd ns
  if pe+me+gr+st+me+ch<>19 then jmp fwd ns
  if pn+av+ba+ch+pe+gr<>23 then jmp fwd ns
  'column tests
  if ba+me+av+pn+li+ap+pe+pn<>35 then jmp fwd ns
  if st+av+pe+ch+li+ba+me+av<>38 then jmp fwd ns
  if gr+ch+av+st+li+pn+gr+ba<>36 then jmp fwd ns
  if ap+st+pe+ba+li+ch+st+ch<>34 then jmp fwd ns
  if pn+pe+av+me+li+ba+me+pe<>31 then jmp fwd ns
  if pe+ap+pe+gr+li+st+ch+gr<>32 then jmp fwd ns
  ok=1 : jmp fwd done
  ns:
next
next
next
end if
next
next         
next
next
end if
next
next

'RESULTS
done:
if not ok then
  print "no solution"
else
print "
lime " li "
apple " ap "
pear " pe "
avocado " av "
melon " me "
cherry " ch "
strawberry " st "
banana " ba "
grape " gr "
"
end if


[Peter]

Wow,  what for an old style  source code!  And so many fruits.