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円周率計算(ATAN 4項級数) - 高精度計算サイト

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id='tb-col'><script> setHistoryList("円周率計算(ATAN 4項級数)",'', ''); sysUserCode='system/1258598283';</script><div class='scroolpnt'><table width='100%' border='0' cellspacing='0' cellpadding='0' id='toptable'><tr><td colspan=3 id='summary' class='top_left'><h2 class='title'>円周率π をatanの四項級数からなる各種のATAN公式で計算します。</h2></td></tr><tr><td colspan=3 align='center'></td></tr><tr><td colspan=2 align='center'><form name='calc'><input type='hidden' name='lang' value=''><input type='hidden' name='charset' value='utf-8'><table id='inparea'><tr><td colspan='3' class='center'><span id='myGraphA'></span></td></tr><tr><td colspan='2'><ul class='inner-table'><ol><li><span id='var_rm_disp'>rm</span></li><li><span id='var_rm_inp'><input size='0' autocomplete=off type='hidden' name='var_rm' id='var_rm' value='' class='text'></span></li><li><span id='var_rm_unit'></span></li><li><span id='var_rm_explain' class='execspoff'></span></li></ol></ul></td><td rowspan=3 class='center'><span id='myGraphB'></span></td></tr><tr><td class='right'><span id='var_f_disp'>計算公式</span></td><td><ul class='inner-table'><ol><li><select name='var_f' id='var_f' onchange="getOutTable2_1only( 'ATANformula4.csv', '公式,,,a1|a1,b1|b1,a2|a2,b2|b2,a3|a3,b3|b3,a4|a4,b4|b4,remark|rm', document.calc.var_f.selectedIndex, 0, '');"><option value='1' selected>ガウス 1863<option value='2' >ステルナー 1896<option value='3' >エスコット 1896<option value='4' >高野喜久雄 1982<option value='5' >村田健郎 1982<option value='6' >柴田昭彦 1983</select></li><li><span id='var_f_unit'></span></li><li><span id='var_f_explain' class='execspoff'></span></li><li><font color='blue' ><span id='var_n_disp'></span></font></li><li><span id='var_n_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_n' id='var_n' value='100'></span></li><li><font color='blue' ><span id='var_n_unit'></span></font></li><li><font color='blue' ><span id='var_n_explain' class='execspoff'></span></font></li></ol></ul></td></tr><tr><td></td><td align='left'><ul class='inner-table'><ol><li><font color='blue' ><span id='var_a1_disp'></span></font></li><li><span id='var_a1_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_a1' id='var_a1' value=''></span></li><li><font color='blue' ><span id='var_a1_unit'></span></font></li><li><font color='blue' ><span id='var_a1_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_b1_disp'></span></font></li><li><span id='var_b1_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_b1' id='var_b1' value=''></span></li><li><font color='blue' ><span id='var_b1_unit'></span></font></li><li><font color='blue' ><span id='var_b1_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_a2_disp'></span></font></li><li><span id='var_a2_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_a2' id='var_a2' value=''></span></li><li><font color='blue' ><span id='var_a2_unit'></span></font></li><li><font color='blue' ><span id='var_a2_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_b2_disp'></span></font></li><li><span id='var_b2_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_b2' id='var_b2' value=''></span></li><li><font color='blue' ><span id='var_b2_unit'></span></font></li><li><font color='blue' ><span id='var_b2_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_a3_disp'></span></font></li><li><span id='var_a3_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_a3' id='var_a3' value=''></span></li><li><font color='blue' ><span id='var_a3_unit'></span></font></li><li><font color='blue' ><span id='var_a3_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_b3_disp'></span></font></li><li><span id='var_b3_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_b3' id='var_b3' value=''></span></li><li><font color='blue' ><span id='var_b3_unit'></span></font></li><li><font color='blue' ><span id='var_b3_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_a4_disp'></span></font></li><li><span id='var_a4_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_a4' id='var_a4' value=''></span></li><li><font color='blue' ><span id='var_a4_unit'></span></font></li><li><font color='blue' ><span id='var_a4_explain' class='execspoff'></span></font></li><li><font color='blue' ><span id='var_b4_disp'></span></font></li><li><span id='var_b4_inp' disp_on_off='OFF'><input size='12' type='hidden' name='var_b4' id='var_b4' value=''></span></li><li><font color='blue' ><span id='var_b4_unit'></span></font></li><li><font color='blue' ><span id='var_b4_explain' class='execspoff'></span></font></li></ol></ul></td></tr><tr><td colspan='2' class='center'><input type='button' value=' 計 算 ' onclick='return checkText()' class='bigbutton' id='executebtn'><input type='button' id='clearbtn' value='クリア' onclick='clearText()' class='bigbutton'><span id='graph'></span><span id='loadsavebtnarea'><input type='button' value='保存・呼出' id='loadsavebtn' onclick='loadSaveBtn(1)' class='bigbutton'></span><select name='ketasu' class='ketasu'><option value='6' >6桁</option><option value='10' >10桁</option><option value='14' >14桁</option><option value='18' >18桁</option><option value='22' >22桁</option><option value='26' >26桁</option><option value='30' >30桁</option><option value='34' >34桁</option><option value='38' >38桁</option><option value='42' >42桁</option><option value='46' selected>46桁</option><option value='50' >50桁</option></select><script> if(document.getElementById('graph') != null){document.getElementById('graph').innerHTML = "";} </script> <hr class='line'><span id='loadSaveArea'></span></td></tr><tr><td colspan='2' class='center'><span id='myGraphC'></span></td></tr><tr><td colspan=2 class='center'><div><!-- 答えの表 開始 --><div align='center' style='margin-top:2px;margin-bottom:3px;'><b></b></div><span id='exetb2'></span><!-- 答えの表終わり --></div><!-- ========================== --></td></tr><tr><td colspan=2></td></tr></table></td></tr></table></div></form><script> var calendarAr = new Array();</script><div id='exetb0' style='text-align:center'><span id='exetb' style='display:inline-block;margin-bottom:10px'></span><span id='exeright'></span></div><div class='center_container'><table class='image_d_exe' align='center'><tr><td class='center'><span id='myGraphD'></span></td></tr></table><div align='center'><span id='myGraphE'></span></div><div align='center'><table align='center' class='setumei'><tr><td align='left'>前回と今回の値が等しくなると終了します。演算桁数を大きくするとπの精度も向上します。<br /><br />17世紀の微積分学の発達で、多くの数学者がatan(x)の級数展開の手法で円周率の計算に挑戦しました。<br /><br /><center><table align=center style='max-width:100px;clear:left'><tr><td><span class='getMathWidth' style='display:none;'>\(\normalsize Gregory\ series\hspace{10px}tan^{\tiny-1}x=x-{\normalsize\frac{1}{3}}x^3+{\normalsize\frac{1}{5}}x^5-{\normalsize\frac{1}{7}}x^7+\cdot\cdot\cdot\\<br />(1)\ Gauss\ 1863\\<br />\hspace{10px}{\small{\normalsize\frac{\pi}{4}}=12tan^{\tiny-1}{\normalsize\frac{1}{38}}+20tan^{\tiny-1}{\normalsize\frac{1}{57}}+7tan^{\tiny-1}{\normalsize\frac{1}{239}}+24tan^{\tiny-1}{\normalsize\frac{1}{268}}}\\<br />(2)\ Stormer\ 1896\\<br />\hspace{10px}{\small{\normalsize\frac{\pi}{4}}=44tan^{\tiny-1}{\normalsize\frac{1}{57}}+7tan^{\tiny-1}{\normalsize\frac{1}{239}}-12tan^{\tiny-1}{\normalsize\frac{1}{682}}+24tan^{\tiny-1}{\normalsize\frac{1}{12943}}}\\<br />(3)\ Escott\ 1896\\<br />\hspace{10px}{\small{\normalsize\frac{\pi}{4}}=22tan^{\tiny-1}{\normalsize\frac{1}{28}}+2tan^{\tiny-1}{\normalsize\frac{1}{443}}-5tan^{\tiny-1}{\normalsize\frac{1}{1393}}-10tan^{\tiny-1}{\normalsize\frac{1}{11018}}}\\<br />(4)\ K.\ Takano\ 1982\\<br />\hspace{10px} {\small{\normalsize\frac{\pi}{4}}=12tan^{\tiny-1}{\normalsize\frac{1}{49}}+32tan^{\tiny-1}{\normalsize\frac{1}{57}}-5tan^{\tiny-1}{\normalsize\frac{1}{239}}+12tan^{\tiny-1}{\normalsize\frac{1}{110443}}}\\<br />(5)\ T.\ Murata\ 1982\\<br />\hspace{10px}{\small{\normalsize\frac{\pi}{4}}=24tan^{\tiny-1}{\normalsize\frac{1}{36}}+8tan^{\tiny-1}{\normalsize\frac{1}{57}}-5tan^{\tiny-1}{\normalsize\frac{1}{239}}-12tan^{\tiny-1}{\normalsize\frac{1}{23382}}}\\<br />(6)\ A.\ Shibata\ 1983\\<br />\hspace{10px}{\small{\normalsize\frac{\pi}{4}}=24tan^{\tiny-1}{\normalsize\frac{1}{43}}+20tan^{\tiny-1}{\normalsize\frac{1}{57}}-12tan^{\tiny-1}{\normalsize\frac{1}{117}}-5tan^{\tiny-1}{\normalsize\frac{1}{239}}}\\\)</span></td></tr></table></center></td></tr></table></div><div align='center'><table id='rlink' cellpadding='0' cellspacing='0'><tr><td class='caption'>関連リンク</td></tr><tr><td class='body'><a href='http://www5f.biglobe.ne.jp/~tsuushin/sub1d.html' 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class="col-nav"><div class="title">円周率計算(ATAN 4項級数)</div><table class=page><tr><td class=count>[0-0] / 0件</td><td class=readcount>表示件数<select name=ank_read_cnt id=ank_read_cnt><option value=5>5<option selected value=10>10<option value=30>30<option value=50>50<option value=100>100<option value=200>200</select><td class=bnbtn><div class=bnbtn><img src="/keisan/pc/common/img/btn_back_none.gif" alt="BACK" />&nbsp;<img src="/keisan/pc/common/img/btn_next_none.gif" alt="NEXT" /></div></td></tr></table><script>$j(function(){$j("#ank_read_cnt").change(function(){readAnketo(0)})})</script></div></span><div class="col">メッセージは1件も登録されていません。</div><br><span class="top"><div class="col-nav col-nav-btm"><div class=bnbtn><img src="/keisan/pc/common/img/btn_back_none.gif" alt="BACK" />&nbsp;<img src="/keisan/pc/common/img/btn_next_none.gif" alt="NEXT" /></div></div></span></div><div id='enq' class='tab-contents'><span id='thanskank'><div class='col'><p 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><label class='radiolabel' for='age03' onclick='radioSel("age", "30歳代")'>30歳代</label><input type='radio' name='age' class='kradio' id='age04' value='40歳代' ><label class='radiolabel' for='age04' onclick='radioSel("age", "40歳代")'>40歳代</label><input type='radio' name='age' class='kradio' id='age05' value='50歳代' ><label class='radiolabel' for='age05' onclick='radioSel("age", "50歳代")'>50歳代</label><input type='radio' name='age' class='kradio' id='age06' value='60歳以上' ><label class='radiolabel' for='age06' onclick='radioSel("age", "60歳以上")'>60歳以上</label></dd></dl><dl><dt>職業</dt><dd><input type='radio' name='work' class='kradio' id='work01' value='小・中学生' ><label class='radiolabel' for='work01' onclick='radioSel("work", "小・中学生")'>小・中学生</label><input type='radio' name='work' class='kradio' id='work02' value='高校・専門・大学生・大学院生' ><label class='radiolabel' for='work02' onclick='radioSel("work", "高校・専門・大学生・大学院生")'>高校・専門・大学生・大学院生</label><input type='radio' name='work' class='kradio' id='work03' value='主婦' ><label class='radiolabel' for='work03' onclick='radioSel("work", "主婦")'>主婦</label><input type='radio' name='work' class='kradio' id='work04' value='会社員・公務員' ><label class='radiolabel' for='work04' onclick='radioSel("work", "会社員・公務員")'>会社員・公務員</label><br><input type='radio' name='work' class='kradio' id='work05' value='自営業' ><label class='radiolabel' for='work05' onclick='radioSel("work", "自営業")'>自営業</label><input type='radio' name='work' class='kradio' id='work06' value='エンジニア' ><label class='radiolabel' for='work06' onclick='radioSel("work", "エンジニア")'>エンジニア</label><input type='radio' name='work' class='kradio' id='work07' value='教師・研究員' ><label class='radiolabel' for='work07' onclick='radioSel("work", "教師・研究員")'>教師・研究員</label><input type='radio' name='work' class='kradio' id='work09' value='その他' ><label class='radiolabel' for='work09' onclick='radioSel("work", "その他")'>その他</label></dd></dl><dl><dt>この計算式は</dt><dd><input type='radio' name='useful' class='kradio' id='useful01' value='非常に役に立った' ><label class='radiolabel' for='useful01' onclick='radioSel("useful", "非常に役に立った")'>非常に役に立った</label><input type='radio' name='useful' class='kradio' id='useful02' value='役に立った' ><label class='radiolabel' for='useful02' onclick='radioSel("useful", "役に立った")'>役に立った</label><br><input type='radio' name='useful' class='kradio' id='useful03' value='少し役に立った' ><label class='radiolabel' for='useful03' onclick='radioSel("useful", "少し役に立った")'>少し役に立った</label><input type='radio' name='useful' class='kradio' id='useful04' value='役に立たなかった' ><label class='radiolabel' for='useful04' onclick='radioSel("useful", "役に立たなかった")'>役に立たなかった</label></dd></dl><dl class='text'><dt>使用目的</dt><dd><TEXTAREA name='purpose' id='purpose'></TEXTAREA></dd></dl><dl class='text'><dt><span id='chgank'>ご意見・ご感想・ご要望(バグ報告は<a onclick='changebug()'><font color='red'>こちら</font></a>) <input type='radio' name='content_flag' value='0' checked style='display:none'></span><span id='chgbug'>バグに関する報告 (ご意見・ご感想・ご要望は<a onclick='changeanketo();'><font color='red'>こちら</font></a>)<br /><input type='radio' name='content_flag' value='1'>計算バグ(入力値と間違ってる結果、正しい結果、参考資料など)<br /><input type='radio' name='content_flag' value='2'>説明バグ(間違ってる説明文と正しい説明文など) <br /> </span></dt><dd><textarea name='bodytext' id='bodytext' ></textarea></dd></dl><div class='btn-center'>アンケートは下記にお客様の声として掲載させていただくことがあります。<br /><img src='/keisan/pc/common/img/btn_send.gif' alt='送信' class='hov' onclick='submitank()' /></div></div></form></span></div><div id='faq' class='tab-contents'></div><div id='link' class='tab-contents'> <div class='col'> <dl> <dt><b>【円周率計算(ATAN 4項級数) にリンクを張る方法】</b></dt> <dd><textarea style='height:50px;margin-bottom:10px;'><a href="https://keisan.casio.jp/exec/system/1258598283">円周率計算(ATAN 4項級数)</a></textarea></dd> </dl> <span id='linkset'></span> </div><!-- //.col --></div><!-- //.link --></div><!-- //.tabs --></div><!-- //#questionnaire --></div> <!-- ==================== //.section ==================== --><div 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