Entries from 2022-11-01 to 1 month

function

L/2a=a2α2β2−(a2α2+b2)(b2+β2)/(a2α2+b2√(1+α2) T.theodor 2022.11.18.

ellipse

△PF1F2=√4a(√a2−b2+a)((2√a2−b2+2a−a2(√a2−b2+t)2+b2(a2−t2)/a) (2√a2−b2+2a−a2(√a2−b2−t)2+b2(a2−t2)/a) T.theodor 2022.11.17.

ellipse

△PF1F2=√4a(√a2−b2+a)((2√a2−b2+2a−a2(√a2−b2+t)2+b2(a2−t2)/a) (2√a2−b2+2a−a2(√a2−b2−t)2+b2(a2−t2)/a) T.theodor 2022.11.17.

function

(0,0) /2a =√a2t2+a2b2−b2t2/m2a2 T.theodor 2022.11.17.

n-root

m√an√a=mn√am+n mn√am+n=m√an√a T.theodor 2022.11.16.

function

f(x)=ax3+bx2+cx+d b+d=f(1)+f(-1)/2 a+c=f(1)−(−f(-1))/2 T.theodor 2022.11.16.

circle

l/r=√2(1−cosθ’)/2 lim r√2(1−cosθ’) = 2r (θ’→180°) θ=90°−θ−a T.theodor 2022.11.16.

numerical sequence

an+m=an+m-1+an+m-2…+a1 T.theodor 2022.11.16.

numerical sequence

numerical sequence 35/16,8/35,/,35/576,… an= T.theodor 2022.11.16.

recurrence relation

αan+1=βan+1+γan =β/αan+1+γ/αan T.theodor 2022.11.15.

recurrence relation

αan+1=βan+1+γan =β/αan+1+γ/αan T.theodor 2022.11.15.

n-pyramid et sphere

r=ah/h’+a T.theodor 2022.11.15.

n-pyramid et sphere

r=ah/h’+a T.theodor 2022.11.15.

circle et square

circle et square are another dimension. T.theodor 2022.11.15.

circle

circle is not angle. T.theodor 2022.11.15.

function

(1+√5/2)n-1+(1−√5/5)n+1−(1−√5/2)n/1+√5 T.theodor 2022.11.14.

function

(1+√5/2)n-1+(1−√5/5)n+1−(1−√5/2)n/1+√5 T.theodor 2022.11.14.

function

(1+√5/2)n-1+(1−√5/5)n+1−(1−√5/2)n/1+√5 T.theodor 2022.11.14.

function

lim Σ 1/pn= T.theodor 2022.11.13.

老子

浴神不死。経典釈文云、河上本作浴。浴者,養也。河上公注曰、浴,養也。人能養神則不死也。神,謂五臟之神也。肝藏魂,肺藏魄,心藏神 ,腎藏精,脾藏志,五臟盡傷,則五神去矣。河上公注ニヨレバ、河上本、浴ニ作ル。神ヲ浴フモノハ、死セズ。漢書王莽傳曰…

function

circle decide right triangle. T.theodor 2022.11.13.

function

f(x)=a’xn+b’xn-1…+z’ L=lim∮a’(x+1)n−a’xn+b’(x+1)n-1−b’xn-1…+1 =Σ√a’(x+1)n−a’xn+b’(x+1)n-1−b’xn-1…+1 T.theodor 2022.11.13.

function

f(x)=axn L=lim∮axn =Σ√4n2−4n2+2 T.theodor 2022.11.13.

function

cosθx/aaa2−sinθy/aab2=1 T.theodor 2022.11.13.

function

function

r2cos2θ+r2sin2θ=r2 rcosθx+rsinθy=r2 T.theodor 2022.11.13.

n-gon

n-gon ハ、n−2 point 之 circle ニヨリ determination スル。 T.theodor 2022.11.13.

2-dimension

2、3-dimension ハ、3point、angle ニヨリ生ズ。 T.theodor 2022.11.13.

3-dimension

3-dimension ハ、2-dimension 、perpendicular ヲ base トス。 T.theodor 2022.11.13.

circle

an/n√x+bn/n√y+cn/n√z=rn T.theodor 2022.11.13.