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why the overflow problems when using assigned values a,b,c vs. actual numbers?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47074] why the overflow problems when using assigned values a,b,c vs. actual numbers?
  • From: angelomuscat at hotmail.com (Angelomuscot)
  • Date: Thu, 25 Mar 2004 05:48:00 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

In[4]:=
a^b^c

From In[4]:=
\!\(\*
  RowBox[{\(General::"ovfl"\), \(\(:\)\(\ \)\), "\<\"Overflow occurred in 
      computation. \\!\\(\\*
      ButtonBox[\\\"More?\\\", ButtonStyle->\\\"RefGuideLinkText\\\", \
ButtonFrame->None, ButtonData:>\\\"General::ovfl\\\"]\\)\"\>"}]\)

Out[4]=
Overflow[]


BUT:


In[5]:=
55^66

Out[5]=
731033882825428434868476575930782273126401013456960378520411040255228224491595\
9896758295144536532461643218994140625

AND:


In[6]:=
731033882825428434868476575930782273126401013456960378520411040255228224491595\
9896758295144536532461643218994140625^9999

Out[6]=
324435743026028411717137084061237264526219685216276129069023086825090331034660\
676665460723467189974666799995743247466131925812897291499441793137947555612536\
092421118314787654069082988115339735757216388900285000082086886335511569652852\
500263751674419665228680993690435411655145421410867274348110658556086214283365\
487135310798129419106466657959487644096476639904142566621230014860021099758543\
910954184101810811243635968105694215589199277340922844665229795860970932927093\
903345342752805464134966818654081439739120197946231129464627625012794671009998\
274359074530338140109206089638200488364546090150940246659339109043696118031372\
530229742420103382591767900803138236103333789801675407210281125877301931298582\
300805788634261795727656073447660759207065107223222708688839651995612311889355\
907880386641679940642234768258450802716406293806036524748397672748983611445384\
903487466762791631032467508663336994739192371927330510682138180717769732067749\
813501627841812758363929902531268898592878366178908663561750678535422233327625\
309575011655608248360131500306432201250794818750558867930521429337718150047296\
888336494742592017263553596945560876788157860833558579449016137257870975373087\
228356365814869002266730157625647704291110893516697268716876172879316855159957\
249338111919269666676887164960924916445306418866716796634486117175329048684133\
301016184440562120694227194264220575350962432082369096353855300481550347098452\
159840773974548827666680165398142221744568827681254444318727439225820408470415\
862655480837303079223588987494927630307638662080907343807292397894202706574609\
442396217212137554114074188711173060955489002935067115527269579691249441940347\
ETC........


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