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function calc(C){

var x=eval(C.X1.value),y=eval(C.Y1.value);

var inv,r,pi=Math.PI,e=Math.E,exp1;//C.x1.value=x;

C.inv.value=1/x;C.r.value=Math.sqrt(x);C.pi.value=Math.PI;C.px1.value=x*pi*2;C.px2.value=x*x*pi;C.px3.value=x*x*pi*4;

C.px4.value=x*x*x*pi*4/3;C.e.value=Math.E;C.exp1.value=Math.exp(x);C.exp2.value=Math.exp(x*Math.log(10));C.exp3.value=Math.exp(x*Math.log(2));

C.log1.value=Math.log(x);C.log2.value=Math.log(x)/Math.log(10);C.log3.value=Math.log(x)/Math.log(2);

C.yexpx.value=Math.exp(x*Math.log(y));C.logyx.value=Math.log(x)/Math.log(y);

C.sinx1.value=Math.sin(x);C.cosx1.value=Math.cos(x);C.tanx1.value=Math.tan(x);C.cotx1.value=1/Math.tan(x);

C.secx1.value=1/Math.cos(x);C.cosecx1.value=1/Math.sin(x);C.sin_1x.value=Math.asin(x);C.cos_1x.value=Math.acos(x);

C.tan_1x.value=Math.atan(x);C.cot_1x.value=Math.atan(1/x);C.sec_1x.value=Math.acos(1/x);C.cosec_1x.value=Math.asin(1/x);

C.sinhx.value=(Math.exp(x)-Math.exp(-x))/2;C.coshx.value=(Math.exp(x)+Math.exp(-x))/2;

C.tanhx.value=(Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x));C.cothx.value=(Math.exp(x)+Math.exp(-x))/(Math.exp(x)-Math.exp(-x));

C.sechx.value=2/(Math.exp(x)+Math.exp(-x));C.cosechx.value=2/(Math.exp(x)-Math.exp(-x));

C.sinh_1x.value=Math.log(x+Math.sqrt(x*x+1));C.cosh_1x.value=Math.log(x+Math.sqrt(x*x-1));

C.tanh_1x.value=Math.log(1+x)/2-Math.log(1-x)/2;C.coth_1x.value=Math.log(x+1)/2-Math.log(x-1)/2;

C.sech_1x.value=Math.log(1/x+Math.sqrt(1/x*x-1));C.cosech_1x.value=Math.log(1/x+Math.sqrt(1/x*x+1));

C.sinx2.value=Math.sin(Math.PI*x/180);C.cosx2.value=Math.cos(Math.PI*x/180);C.tanx2.value=Math.tan(Math.PI*x/180);C.cotx2.value=1/Math.tan(Math.PI*x/180);

C.secx2.value=1/Math.cos(Math.PI*x/180);C.cosecx2.value=1/Math.sin(Math.PI*x/180);C.sin_1x2.value=Math.asin(x)/Math.PI*180;C.cos_1x2.value=Math.acos(x)/Math.PI*180;

C.tan_1x2.value=Math.atan(x)/Math.PI*180;C.cot_1x2.value=Math.atan(1/x)/Math.PI*180;C.sec_1x2.value=Math.acos(1/x)/Math.PI*180;C.cosec_1x2.value=Math.asin(1/x)/Math.PI*180;

/*C.gammax.value=Math.exp((x+0.5)*Math.log(x+1)-Math.log(x)-x-1)*Math.sqrt(Math.PI*2)*(1+1.0/12/(x+1)+1.0/288/(x+1)/(x+1)-139.0/51840/(x+1)/(x+1)/(x+1)-571.0/2488320/(x+1)/(x+1)/(x+1)/(x+1));*/

/*C.gammax.value=Math.exp((x+1.5)*Math.log(x+2)-Math.log(x*(x+1))-x-2)*Math.sqrt(Math.PI*2)*(1+1.0/12/(x+2)+1.0/288/(x+2)/(x+2)-139.0/51840/(x+2)/(x+2)/(x+2)-571.0/2488320/(x+2)/(x+2)/(x+2)/(x+2));*/

/*C.gammax.value=Math.exp((x+3.5)*Math.log(x+4)-Math.log(x*(x+1)*(x+2)*(x+3))-x-4)*Math.sqrt(Math.PI*2)*(1+1.0/12/(x+4)+1.0/288/(x+4)/(x+4)-139.0/51840/(x+4)/(x+4)/(x+4)-571.0/2488320/(x+4)/(x+4)/(x+4)/(x+4));*/

C.gammax.value=Math.exp((x+4.5)*Math.log(x+5)-Math.log((x+1)*(x+2)*(x+3)*(x+4))-x-5)*Math.sqrt(Math.PI*2)*(1+1.0/12/(x+5)+1.0/288/(x+5)/(x+5)-139.0/51840/(x+5)/(x+5)/(x+5)-571.0/2488320/(x+5)/(x+5)/(x+5)/(x+5))/x;

C.gammay.value=Math.exp((y+4.5)*Math.log(y+5)-Math.log((y+1)*(y+2)*(y+3)*(y+4))-y-5)*Math.sqrt(Math.PI*2)*(1+1.0/12/(y+5)+1.0/288/(y+5)/(y+5)-139.0/51840/(y+5)/(y+5)/(y+5)-571.0/2488320/(y+5)/(y+5)/(y+5)/(y+5))/y;

C.gammaxy.value=Math.exp((x+y+4.5)*Math.log(x+y+5)-Math.log((x+y+1)*(x+y+2)*(x+y+3)*(x+y+4))-x-y-5)*Math.sqrt(Math.PI*2)*(1+1.0/12/(x+y+5)+1.0/288/(x+y+5)/(x+y+5)-139.0/51840/(x+y+5)/(x+y+5)/(x+y+5)-571.0/2488320/(x+y+5)/(x+y+5)/(x+y+5)/(x+y+5))/(x+y);

C.betaxy.value=C.gammax.value*C.gammay.value/C.gammaxy.value;

}

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<FONT SIZE=2>Autor: Dr. Y.Funatsu, Professor an der Universität Meisei, Tokio  <A HREF="mailto:funatsu@mvf.biglobe ne.jp">Email</A>　<A HREF="../calfod.html">Inhalt der Formulare</A>　<A HREF="../index.html">Seitenanfang</A></FONT>  

<TABLE BORDER=1 WIDTH=1000><TR><TD WIDTH=200>

<FORM NAME="Calc">

<FONT SIZE=3><FONT COLOR=#DD0000>

Geben Sie Zahlen in den Zellen x und y ein,<BR>

oder ändern sie, und drücken Sie die Taste<BR>

[Rechnungen] unten.<BR>

 x=<INPUT TYPE="text" NAME="X1" VALUE="0.5" SIZE=10><BR>

 y=<INPUT TYPE="text" NAME="Y1" VALUE="2" SIZE=10><BR></FONT>

<FONT COLOR=#006600>y wird in Funktionen von nur x nicht gerechnet .</FONT>

<HR>

<INPUT TYPE="button" VALUE="Rechnungen" onClick="calc(this.form)">

<INPUT TYPE="reset" VALUE="Neue Eingabe"><BR>

<INPUT TYPE="button" VALUE="Erklärungen" onClick="wopen6()"><BR>

<HR>　

Antworten<BR>

1/x=<INPUT TYPE="text" NAME="inv" SIZE=15><BR>

√x=<INPUT TYPE="text" NAME="r" SIZE=15><P>

π=<INPUT TYPE="text" NAME="pi" SIZE=15><BR>

2πx=<INPUT TYPE="text" NAME="px1" SIZE=15><BR>

πx<SUP>2</SUP>=<INPUT TYPE="text" NAME="px2" SIZE=15><BR>

4πx<SUP>2</SUP>=<INPUT TYPE="text" NAME="px3" SIZE=15><BR>

4πx<SUP>3</SUP>/3=<INPUT TYPE="text" NAME="px4" SIZE=15>

</TD>

<TD WIDTH=200>

e=<INPUT TYPE="text" NAME="e" SIZE=15><BR>

e<SUP>x</SUP>=<INPUT TYPE="text" NAME="exp1" SIZE=15><BR>

10<SUP>x</SUP>=<INPUT TYPE="text" NAME="exp2" SIZE=15><BR>

2<SUP>x</SUP>=<INPUT TYPE="text" NAME="exp3" SIZE=15><BR>

log<SUB>e</SUB> x=<INPUT TYPE="text" NAME="log1" SIZE=15><BR>

log<SUB>10</SUB> x=<INPUT TYPE="text" NAME="log2" SIZE=15><BR>

log<SUB>2</SUB> x=<INPUT TYPE="text" NAME="log3" SIZE=15><BR>

y<SUP>x</SUP>=<INPUT TYPE="text" NAME="yexpx" SIZE=15><BR>

log<SUB>y</SUB> x=<INPUT TYPE="text" NAME="logyx" SIZE=15><P>

Gammafunktion und Betafunktion<BR>

Γ(x)=<INPUT TYPE="text" NAME="gammax" SIZE=15><BR>

Γ(y)=<INPUT TYPE="text" NAME="gammay" SIZE=15><BR>

Γ(x+y)=<INPUT TYPE="text" NAME="gammaxy" SIZE=15><BR>

B(x,y)=<INPUT TYPE="text" NAME="betaxy" SIZE=15><BR><BR>

<FONT SIZE=2>

<A HREF="win6b.html">Rechnungsfehler von Γ und B</A> 

</FONT>

</FONT></TD><TD WIDTH=200>

Trigonometrische<BR> funktionen 1<BR>

 x =Bogenmaß<BR>

sin(x)=<INPUT TYPE="text" NAME="sinx1" SIZE=15><BR>

cos(x)=<INPUT TYPE="text" NAME="cosx1" SIZE=15><BR>

tan(x)=<INPUT TYPE="text" NAME="tanx1" SIZE=15><BR>

cot(x)=<INPUT TYPE="text" NAME="cotx1" SIZE=15><BR>

sec(x)=<INPUT TYPE="text" NAME="secx1" SIZE=15><BR>

cosec(x)=<INPUT TYPE="text" NAME="cosecx1" SIZE=14><P>

 x =Wert der Funktion<BR>

Antwort=Bogenmaß<BR>

Sin<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="sin_1x" SIZE=12><BR>

Cos<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cos_1x" SIZE=12><BR>

Tan<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="tan_1x" SIZE=12><BR>

Cot<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cot_1x" SIZE=12><BR>

Sec<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="sec_1x" SIZE=12><BR>

Cosec<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cosec_1x" SIZE=12>

</TD><TD WIDTH=200 BGCOLOR=#CCFFCC>

Trigonometrische<BR> Funktionen 2<BR>

 x =Winkel<BR>

sin(x)=<INPUT TYPE="text" NAME="sinx2" SIZE=15><BR>

cos(x)=<INPUT TYPE="text" NAME="cosx2" SIZE=15><BR>

tan(x)=<INPUT TYPE="text" NAME="tanx2" SIZE=15><BR>

cot(x)=<INPUT TYPE="text" NAME="cotx2" SIZE=15><BR>

sec(x)=<INPUT TYPE="text" NAME="secx2" SIZE=15><BR>

cosec(x)=<INPUT TYPE="text" NAME="cosecx2" SIZE=14><P>

 x =Wert der Funktion<BR>

Antwort=Winkel<BR>

Sin<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="sin_1x2" SIZE=12><BR>

Cos<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cos_1x2" SIZE=12><BR>

Tan<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="tan_1x2" SIZE=12><BR>

Cot<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cot_1x2" SIZE=12><BR>

Sec<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="sec_1x2" SIZE=12><BR>

Cosec<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cosec_1x2" SIZE=12>

</TD><TD WIDTH=200>

Hyperbelfunktionen<P>

sinh(x)=<INPUT TYPE="text" NAME="sinhx" SIZE=15><BR>

cosh(x)=<INPUT TYPE="text" NAME="coshx" SIZE=15><BR>

tanh(x)=<INPUT TYPE="text" NAME="tanhx" SIZE=15><BR>

coth(x)=<INPUT TYPE="text" NAME="cothx" SIZE=15><BR>

sech(x)=<INPUT TYPE="text" NAME="sechx" SIZE=15><BR>

cosech(x)=<INPUT TYPE="text" NAME="cosechx" SIZE=14><P>

sinh<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="sinh_1x" SIZE=12><BR>

cosh<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cosh_1x" SIZE=12><BR>

tanh<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="tanh_1x" SIZE=12><BR>

coth<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="coth_1x" SIZE=12><BR>

sech<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="sech_1x" SIZE=12><BR>

cosech<SUP>-1</SUP>(x)=<INPUT TYPE="text" NAME="cosech_1x" SIZE=11><BR><BR>

</TD>

</TR></FORM>

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