{"id":328819,"date":"2022-01-31T03:00:08","date_gmt":"2022-01-31T03:00:08","guid":{"rendered":"http:\/\/savepearlharbor.com\/?p=328819"},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T21:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/savepearlharbor.com\/?p=328819","title":{"rendered":"<span>\u041f\u0440\u0438\u043c\u0435\u0440\u044b \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043e\u0442 \u0434\u0432\u0443\u0445 \u0438 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432 Excel, OneNote, Word \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u044e\u0442\u0441\u044f \u043d\u0435\u0432\u0435\u0440\u043d\u043e<\/span>"},"content":{"rendered":"<div><\/div>\n<div id=\"post-content-body\">\n<div>\n<div class=\"article-formatted-body article-formatted-body_version-2\">\n<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\">\n<p><strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435.<\/strong><\/p>\n<p>\u041e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438 q \u2014 \u0447\u0438\u0441\u043b\u043e\u0432\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f f : R^n \u2192 R \u0442\u0430\u043a\u0430\u044f, \u0447\u0442\u043e \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e v \u2208 R^n \u0438\u0437 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 f \u0438 \u043b\u044e\u0431\u043e\u0433\u043e \u03bb \u2208 R \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e: f(\u03bbv)=\u03bb^q f(v), \u0433\u0434\u0435 q \u2014 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u0440\u044f\u0434\u043a\u043e\u043c \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p>\u0414\u043b\u044f \u043f\u0440\u043e\u0441\u0442\u043e\u0442\u044b \u0431\u0435\u0440\u0435\u043c q=1, \u0438 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u0438\u0434\u0430 f(a,b)=(a^117-b^117)^(1\/117), f(a,b,c,d)=(a^117-b^117)^(1\/117)-(c^117-d^117)^(1\/117).<\/p>\n<p>\u041f\u043e\u0441\u043b\u0435 \u043d\u0435\u0441\u043b\u043e\u0436\u043d\u044b\u0445 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044b\u0445 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u0432 \u043d\u0430 Python \u0438 Java \u0431\u044b\u043b\u0438 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430.<\/p>\n<p>f(352,54)=353.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999&#8230;<br \/> f(357,59)=356.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998972&#8230;<br \/> f(361,63)=360.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999939&#8230;<\/p>\n<p>MS Excel:<br \/> f(352,54)=352,000000000001<br \/> f(357,59)=357,000000000001<br \/> f(361,63)=361,000000000001<\/p>\n<p>\u0421\u043a\u0440\u0438\u043f\u0442 \u043d\u0430 Python:<\/p>\n<blockquote>\n<p><code>from decimal import *<br \/> getcontext().prec = 308<br \/>>>> x=(Decimal(352)**Decimal(117)-Decimal(54)**Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 351.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998329159190818894696994980506790444791082984001875203468391468411917936881307214870551679958590777317468915163628481716135549589884152531038661217609555941316588708754835741185821790242245778320061791986803024655<br \/>>>> x=(Decimal(357)**Decimal(117)-Decimal(59)**Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 356.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999989720158196073692153897626133606380322329055537315843030235571925317558982699264816534943225755076027658785035832219023824960424396774347405335963769219643742987625523407845824626821939913224289857224063032843297400<br \/>>>> x=(Decimal(361)**Decimal(117)-Decimal(63)**Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 360.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999993921127936674583510825707397891980952152159386267417777344776761307280088078727565211233452220813716097076319749507809649466951661213836906215116123352999333771519212777104493376322107139264556222426180333043207111704<\/code><\/p>\n<\/blockquote>\n<p>\u0421\u043a\u0440\u0438\u043f\u0442 \u043d\u0430 Java \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u0435\u043d, \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u043d\u0430\u0434\u043e \u043d\u0430\u0439\u0442\u0438 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0443<br \/> \u0434\u043b\u044f \u043f\u0440\u0438\u0441\u0432\u043e\u0435\u043d\u0438\u044f \u0432\u0438\u0434\u0430: RESULT=BigDecimalMath.root(POWER,RESULT);<br \/> \u0421\u043e\u0432\u0435\u0442\u0443\u044e \u0432\u0437\u044f\u0442\u044c \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0443 <a href=\"https:\/\/arxiv.org\/abs\/0908.3030v3\" rel=\"noopener noreferrer nofollow\">A Java Math.BigDecimal Implementation of Core Mathematical Functions<\/a><\/p>\n<p>MS Excel:<br \/> f(398,100,398,308)=7.38964445190504E-13<br \/> f(398,100,398,309)=7.38964445190504E-13<\/p>\n<p>\u0421\u043a\u0440\u0438\u043f\u0442 \u043d\u0430 Python:<\/p>\n<blockquote>\n<p><code>>>> x=(Decimal(398)**Decimal(117)-Decimal(100)Decimal(117))(Decimal(1)\/Decimal(117))-(Decimal(398)**Decimal(117)-Decimal(309)Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 4.6829537694880400495961208753068636086170585442527635529935481848840914660367426890426968518388082410943344799080628343292984538641902867227063198133880387010206424683985254813925375685020961046102263610649485204384515121661567412189563550051412170861083133399095734629020724759126523504592133E-13<br \/>>>> x=(Decimal(398)**Decimal(117)-Decimal(100)Decimal(117))(Decimal(1)\/Decimal(117))-(Decimal(398)**Decimal(117)-Decimal(308)Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 3.2048787849158093680423522610101807533554641830481900686328630295592641185012838297491718621152607396025746152496522964996997085198842879841026218584337924367377107257472526086034104095639711035849133200650433251604302283626496677147152423702885746810118429098239541285725629711670483877984277E-13<\/code><\/p>\n<\/blockquote>\n<p>\u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043d\u0430 Java \u0434\u0430\u044e\u0442 \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442.<\/p>\n<p>\u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u043d\u0430 OneNote \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c 0.<br \/> (398^117\u2212100^117 )^(1\/117)\u2212(398^117\u2212308^117 )^(1\/117)=0.0<br \/> (398^117\u2212100^117 )^(1\/117)\u2212(398^117\u2212309^117 )^(1\/117)=0.0<\/p>\n<p>\u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0437\u0430\u0434\u0430\u0434\u0438\u043c \u0431\u043e\u043b\u044c\u0448\u0443\u044e \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0432 OneNote.<br \/> f(398,100,398,309)=(15357461407072152272595341560605217489962580453253454782381000698280555150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728-1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)^(1\/117)-(15357461407072152272595341560605217489962580453253454782381000698280554150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728-2114180645468154536609920593038690001743619316845525182583618652336185889082286837642707603829510005111656415448959134686540978425229790947408474334697737411374763474080732609023460376667948921254970853067562089178774007996892973246633386570133532092567215418841778357322933607577932579981669)^(1\/117)=0.0<\/p>\n<p>\u0427\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442 \u0435\u0433\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043d\u0435\u043f\u0440\u0438\u0433\u043e\u0434\u043d\u044b\u043c \u0434\u0430\u0436\u0435 \u0434\u043b\u044f \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u0432.<\/p>\n<p>\u041e\u0434\u043d\u0430\u043a\u043e, \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0439 \u043c\u044b \u0434\u0430\u043d\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0432 Access, \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n<p>SELECT (15357461407072152272595341560605217489962580453253454782381000698280555150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728 &#8212; 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)^(1\/117)-(15357461407072152272595341560605217489962580453253454782381000698280554150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728-2114180645468154536609920593038690001743619316845525182583618652336185889082286837642707603829510005111656415448959134686540978425229790947408474334697737411374763474080732609023460376667948921254970853067562089178774007996892973246633386570133532092567215418841778357322933607577932579981669)^(1\/117);<\/p>\n<p>\u0438\u043b\u0438<\/p>\n<p>SELECT (398^117-100^117)^(1\/117)-(398^117-309^117)^(1\/117);<\/p>\n<p>\u0441 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c f(398,100,398,309)=4,54747350886464E-13.<\/p>\n<p>\u0423 MS Word \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0441\u0432\u043e\u044f \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, \u043d\u043e \u0438 \u0441\u0432\u043e\u0435 \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439.<\/p>\n<p>\u0414\u0435\u043b\u0430\u0435\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0438\u0437 \u043e\u0434\u043d\u043e\u0433\u043e \u0441\u0442\u043e\u043b\u0431\u0446\u0430 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c.<\/p>\n<p>15357461407072152272595341560605217489962580453253454782381000698280555150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728<br \/> 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000<br \/> A1-A2 = 2,16<br \/> 15357461407072152272595341560605217489962580453253454782381000698280554150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728<br \/> 2114180645468154536609920593038690001743619316845525182583618652336185889082286837642707603829510005111656415448959134686540978425229790947408474334697737411374763474080732609023460376667948921254970853067562089178774007996892973246633386570133532092567215418841778357322933607577932579981669<br \/> A5-A4=2,14<br \/> A3-A6=0,02<\/p>\n<p>\u0427\u0442\u043e \u0441\u043e\u0432\u0441\u0435\u043c \u043d\u0435\u0432\u0435\u0440\u043d\u043e (\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 A5-A4=2,14, \u043d\u0438\u043a\u0430\u043a \u0438 \u043d\u0438\u0433\u0434\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u0442) .<\/p>\n<p>\u0420\u0435\u0437\u044e\u043c\u0435 \u0442\u0430\u043a\u043e\u0435. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u043f\u0430\u0440 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043e\u0442 \u0434\u0432\u0443\u0445 \u0438 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432\u044b\u0437\u044b\u0432\u0430\u044e\u0442 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0432 MS Office 365 Excel, Word, OneNote, \u043d\u043e \u043d\u0435 \u0432 Access.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"v-portal\" style=\"display:none;\"><\/div>\n<\/div>\n<p> <!----> <!----><br \/> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habr.com\/ru\/post\/648685\/\"> https:\/\/habr.com\/ru\/post\/648685\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div><\/div>\n<div id=\"post-content-body\">\n<div>\n<div class=\"article-formatted-body article-formatted-body_version-2\">\n<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\">\n<p><strong>\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435.<\/strong><\/p>\n<p>\u041e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438 q \u2014 \u0447\u0438\u0441\u043b\u043e\u0432\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f f : R^n \u2192 R \u0442\u0430\u043a\u0430\u044f, \u0447\u0442\u043e \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e v \u2208 R^n \u0438\u0437 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 f \u0438 \u043b\u044e\u0431\u043e\u0433\u043e \u03bb \u2208 R \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e: f(\u03bbv)=\u03bb^q f(v), \u0433\u0434\u0435 q \u2014 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u0440\u044f\u0434\u043a\u043e\u043c \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p>\u0414\u043b\u044f \u043f\u0440\u043e\u0441\u0442\u043e\u0442\u044b \u0431\u0435\u0440\u0435\u043c q=1, \u0438 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u0438\u0434\u0430 f(a,b)=(a^117-b^117)^(1\/117), f(a,b,c,d)=(a^117-b^117)^(1\/117)-(c^117-d^117)^(1\/117).<\/p>\n<p>\u041f\u043e\u0441\u043b\u0435 \u043d\u0435\u0441\u043b\u043e\u0436\u043d\u044b\u0445 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044b\u0445 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u0432 \u043d\u0430 Python \u0438 Java \u0431\u044b\u043b\u0438 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430.<\/p>\n<p>f(352,54)=353.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999&#8230;<br \/> f(357,59)=356.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998972&#8230;<br \/> f(361,63)=360.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999939&#8230;<\/p>\n<p>MS Excel:<br \/> f(352,54)=352,000000000001<br \/> f(357,59)=357,000000000001<br \/> f(361,63)=361,000000000001<\/p>\n<p>\u0421\u043a\u0440\u0438\u043f\u0442 \u043d\u0430 Python:<\/p>\n<blockquote>\n<p><code>from decimal import *<br \/> getcontext().prec = 308<br \/>>>> x=(Decimal(352)**Decimal(117)-Decimal(54)**Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 351.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998329159190818894696994980506790444791082984001875203468391468411917936881307214870551679958590777317468915163628481716135549589884152531038661217609555941316588708754835741185821790242245778320061791986803024655<br \/>>>> x=(Decimal(357)**Decimal(117)-Decimal(59)**Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 356.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999989720158196073692153897626133606380322329055537315843030235571925317558982699264816534943225755076027658785035832219023824960424396774347405335963769219643742987625523407845824626821939913224289857224063032843297400<br \/>>>> x=(Decimal(361)**Decimal(117)-Decimal(63)**Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 360.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999993921127936674583510825707397891980952152159386267417777344776761307280088078727565211233452220813716097076319749507809649466951661213836906215116123352999333771519212777104493376322107139264556222426180333043207111704<\/code><\/p>\n<\/blockquote>\n<p>\u0421\u043a\u0440\u0438\u043f\u0442 \u043d\u0430 Java \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u0435\u043d, \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e \u043d\u0430\u0434\u043e \u043d\u0430\u0439\u0442\u0438 \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0443<br \/> \u0434\u043b\u044f \u043f\u0440\u0438\u0441\u0432\u043e\u0435\u043d\u0438\u044f \u0432\u0438\u0434\u0430: RESULT=BigDecimalMath.root(POWER,RESULT);<br \/> \u0421\u043e\u0432\u0435\u0442\u0443\u044e \u0432\u0437\u044f\u0442\u044c \u0431\u0438\u0431\u043b\u0438\u043e\u0442\u0435\u043a\u0443 <a href=\"https:\/\/arxiv.org\/abs\/0908.3030v3\" rel=\"noopener noreferrer nofollow\">A Java Math.BigDecimal Implementation of Core Mathematical Functions<\/a><\/p>\n<p>MS Excel:<br \/> f(398,100,398,308)=7.38964445190504E-13<br \/> f(398,100,398,309)=7.38964445190504E-13<\/p>\n<p>\u0421\u043a\u0440\u0438\u043f\u0442 \u043d\u0430 Python:<\/p>\n<blockquote>\n<p><code>>>> x=(Decimal(398)**Decimal(117)-Decimal(100)Decimal(117))(Decimal(1)\/Decimal(117))-(Decimal(398)**Decimal(117)-Decimal(309)Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 4.6829537694880400495961208753068636086170585442527635529935481848840914660367426890426968518388082410943344799080628343292984538641902867227063198133880387010206424683985254813925375685020961046102263610649485204384515121661567412189563550051412170861083133399095734629020724759126523504592133E-13<br \/>>>> x=(Decimal(398)**Decimal(117)-Decimal(100)Decimal(117))(Decimal(1)\/Decimal(117))-(Decimal(398)**Decimal(117)-Decimal(308)Decimal(117))(Decimal(1)\/Decimal(117))<br \/>>>> print(x)<br \/> 3.2048787849158093680423522610101807533554641830481900686328630295592641185012838297491718621152607396025746152496522964996997085198842879841026218584337924367377107257472526086034104095639711035849133200650433251604302283626496677147152423702885746810118429098239541285725629711670483877984277E-13<\/code><\/p>\n<\/blockquote>\n<p>\u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043d\u0430 Java \u0434\u0430\u044e\u0442 \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442.<\/p>\n<p>\u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u043d\u0430 OneNote \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c 0.<br \/> (398^117\u2212100^117 )^(1\/117)\u2212(398^117\u2212308^117 )^(1\/117)=0.0<br \/> (398^117\u2212100^117 )^(1\/117)\u2212(398^117\u2212309^117 )^(1\/117)=0.0<\/p>\n<p>\u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0437\u0430\u0434\u0430\u0434\u0438\u043c \u0431\u043e\u043b\u044c\u0448\u0443\u044e \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u044c \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0447\u043b\u0435\u043d\u0430 \u0440\u0430\u0437\u043d\u043e\u0441\u0442\u0438 \u0432 OneNote.<br \/> f(398,100,398,309)=(15357461407072152272595341560605217489962580453253454782381000698280555150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728-1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)^(1\/117)-(15357461407072152272595341560605217489962580453253454782381000698280554150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728-2114180645468154536609920593038690001743619316845525182583618652336185889082286837642707603829510005111656415448959134686540978425229790947408474334697737411374763474080732609023460376667948921254970853067562089178774007996892973246633386570133532092567215418841778357322933607577932579981669)^(1\/117)=0.0<\/p>\n<p>\u0427\u0442\u043e \u0434\u0435\u043b\u0430\u0435\u0442 \u0435\u0433\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043d\u0435\u043f\u0440\u0438\u0433\u043e\u0434\u043d\u044b\u043c \u0434\u0430\u0436\u0435 \u0434\u043b\u044f \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0440\u0430\u0441\u0447\u0435\u0442\u043e\u0432.<\/p>\n<p>\u041e\u0434\u043d\u0430\u043a\u043e, \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0439 \u043c\u044b \u0434\u0430\u043d\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0432 Access, \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n<p>SELECT (15357461407072152272595341560605217489962580453253454782381000698280555150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728 &#8212; 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)^(1\/117)-(15357461407072152272595341560605217489962580453253454782381000698280554150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728-2114180645468154536609920593038690001743619316845525182583618652336185889082286837642707603829510005111656415448959134686540978425229790947408474334697737411374763474080732609023460376667948921254970853067562089178774007996892973246633386570133532092567215418841778357322933607577932579981669)^(1\/117);<\/p>\n<p>\u0438\u043b\u0438<\/p>\n<p>SELECT (398^117-100^117)^(1\/117)-(398^117-309^117)^(1\/117);<\/p>\n<p>\u0441 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c f(398,100,398,309)=4,54747350886464E-13.<\/p>\n<p>\u0423 MS Word \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0441\u0432\u043e\u044f \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, \u043d\u043e \u0438 \u0441\u0432\u043e\u0435 \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439.<\/p>\n<p>\u0414\u0435\u043b\u0430\u0435\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0438\u0437 \u043e\u0434\u043d\u043e\u0433\u043e \u0441\u0442\u043e\u043b\u0431\u0446\u0430 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c.<\/p>\n<p>15357461407072152272595341560605217489962580453253454782381000698280555150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728<br \/> 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000<br \/> A1-A2 = 2,16<br \/> 15357461407072152272595341560605217489962580453253454782381000698280554150698266871781901372815261064006144084350804830440836948323660592372567223353043470694217100899363125243630508686232896955794063869972410449739272809998037351885263675820458842645745358787039602864806831680779682282811435404889161728<br \/> 2114180645468154536609920593038690001743619316845525182583618652336185889082286837642707603829510005111656415448959134686540978425229790947408474334697737411374763474080732609023460376667948921254970853067562089178774007996892973246633386570133532092567215418841778357322933607577932579981669<br \/> A5-A4=2,14<br \/> A3-A6=0,02<\/p>\n<p>\u0427\u0442\u043e \u0441\u043e\u0432\u0441\u0435\u043c \u043d\u0435\u0432\u0435\u0440\u043d\u043e (\u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 A5-A4=2,14, \u043d\u0438\u043a\u0430\u043a \u0438 \u043d\u0438\u0433\u0434\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435 \u043d\u0430\u0445\u043e\u0434\u0438\u0442) .<\/p>\n<p>\u0420\u0435\u0437\u044e\u043c\u0435 \u0442\u0430\u043a\u043e\u0435. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u043f\u0430\u0440 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043e\u0442 \u0434\u0432\u0443\u0445 \u0438 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0432\u044b\u0437\u044b\u0432\u0430\u044e\u0442 \u0441\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0432 MS Office 365 Excel, Word, OneNote, \u043d\u043e \u043d\u0435 \u0432 Access.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"v-portal\" style=\"display:none;\"><\/div>\n<\/div>\n<p> <!----> <!----><br \/> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habr.com\/ru\/post\/648685\/\"> https:\/\/habr.com\/ru\/post\/648685\/<\/a><br \/><\/br><\/br><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-328819","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/328819","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=328819"}],"version-history":[{"count":0,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/328819\/revisions"}],"wp:attachment":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=328819"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=328819"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=328819"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}