rational function y = / x+α/ax2+bx+c y = / ax2+bx+c/dx2+ex+e y = / ax+b/cx3+dx2+ex+f y = / ax2+bx+c/dx3+ex2+fx+g y = / ax3+bx2+cx+d/ex3+fx2+gx+h T.theodor 2022.7.21

x3 + ax2 + bx + c = 0 x3 - ( α+β+γ )x2 - ( αβ+βγ+αγ )x - αβγ = 0 α+β+γ = a αβ+βγ+αγ = b αβγ = c x3 - 6x2 - 11x - 6 = 0 α+β+γ = 6 αβ+βγ+αγ = 11 αβγ = 6 α = 1，β = 2，γ = 3 ( x-1)(x-2)(x-3) = 0 T.theodor 2022.7.21

Isaac Newton and Gottfried Wilhelm Leibniz 之 integral calculus ハ、integral calculus デハ無ク、又、Blaise Pascal 之図ニ似テオリ、 Isaac Newton and Gottfried Wilhelm Leibniz ハ、integral calculus ヲ発見シテイナイ。 T.theodor 2022.7.20 、 P…

lim n√a = 0 ( n → ∞ ) T.theodor 2022.7.20

quadratic function y = ( ax2+bx+c )2 = T.theodor 2022.7.20

y = ()n T.theodor 2022.7.20

quadratic function - 2√ac < b < 2√ac 無解 b ≦ - 2√ac ，b ≦ 2√ac ニ実数解 b = 2√ac 重解 T.theodor 2022.7.20

quadratic function - 2√ac < b < 2√ac 無解 b ≦ - 2√ac ，b ≦ 2√ac ニ実数解 b = 2√ac 重解 T.theodor 2022.7.20

Isaac Newton and Gottfried Wilhelm Leibniz 之 integral calculus ハ、integral calculus デハ無ク、又、Blaise Pascal 之図ニ似テオリ、 Isaac Newton and Gottfried Wilhelm Leibniz ハ、integral calculus ヲ発見シテイナイ。 T.theodor 2022.7.20 、 P…

y = ax2 + b√x + c T.theodor 2022.7.19

y = ax2 + b√x + c T.theodor 2022.7.19

yn = T.theodor 2022.7.19

square root isosceles right triangle 12 + 12 = 22 √22 + 12 = 32 √m2 + 12 = n2 T.theodor 2022.7.19

π(x) = α - 2na - 3na - 5na - 7na … T.theodor 2022.7.18

quadratic function an < an+1 ， yn < yn+1 T.theodor 2022.7.18

Prime number et nth root Ｐ= x T.theodor 2022.7.18

y = ax3+bx2+cx+d = ax(x - b/2a)2 -/( b2-4ac/4a)x - ad(x - b/2a)2 +/+ ( b2d-4acd/4a T.theodor 2022.7.17

y = ax2 lim ax2 = 0 ( a → 0 ) lim ax2 = ∞ ( a → ∞ ) T.theodor 2022.7.17

x axis ニ対シテ 90° y axis Two-dimensional space x axis ニ対シテ 直立 90° y axis three-dimensional space xy plane T.theodor 2022.7.17

x ， 90° y angle x ， 60° y angle T.theodor 2022.7.17

x2/a2 + y2/b2/= k2 半長径 ak 半短径 bk T.theodor 2022.7.17

trigonometric function 0° < θ < 90°，0 < sinθ，cosθ < 1，0 < tanθ，tanθ ∈ ∞ lim sinθ = 1 ( θ →90° ) lim sinθ = 0 ( θ → 0° ) lim cosθ = 1 ( θ → 0° ) lim cosθ = 0 ( θ →90° ) lim tanθ = 0 ( θ → 0° ) lim tanθ = ∞ ( θ → 90° ) sinθ，cosθ，tanθ ≠…

Sn = 1/2n2+ 1/2 n y = 1/2x2+ x Sn ハ、 y = 1/2x2+ 1/2x 之 x 之整数値ヲ取ル。 T.theodor 2022.7.8

x2+ a2y2/b2 = a2 T.theodor 2022.7.16

y = ax 以外之関数ハ、curve ヲ取ル。 T.theodor 2022.7.16

x → √a ( x , f(x)) → ( √a , f(x)) T.theodor 2022.7.16

f(x) = Δy/Δx = f(x)' lim f(x)' = ∞ (x → ∞) f(x) → y → ∞ lim f(x)' = 0 (x → ∞) f(x) → x → ∞ , f(x) → x → 0 T.theodor 2022.7.15

y =a√xn a < n ， Δy/Δx = y =a√xn > x a > n ， Δy/Δx = y =a√xn < x T.theodor 2022.7.15 3, 8/5, 16/9 といっ/

四辺ト一ツ之角。 T.theodor 2022.7.15

1≦ y，y < 1, y ≦ -1，-1 < y y = 1/x x ≦ 1 ，1 < x ，- 1 ≦ x ，x < -1 T.theodor 2022.7.14