$$thank you$$thank you
$$t$$t
$$$$
$$３９$$３９
$$3と15分の１$$3と15分の１
$$3 1/15$$3 1/15
$$T(n)=(T(a)×a)/n$$T(n)=(T(a)×a)/n
$$∫log（logx）dx$$∫log（logx）dx
$$y=1/r^2$$y=1/r^2
$$2025=(1+2+…+9)^2=1^3+2^3+…+9^3$$2025=(1+2+…+9)^2=1^3+2^3+…+9^3
$$2025=(1+2+$$2025=(1+2+
$$$$
$$100(1+2%){1+8%}$$100(1+2%){1+8%}
$$100*(1+2%)/(1+8%)$$100*(1+2%)/(1+8%)
$$\sqrt{(X_{middle}-X_{center})^2+(Z_{middle}-Z_{center})^2}=rcos(\frac{θ_{AB}}{2})$$\sqrt{(X_{middle}-X_{center})^2+(Z_{middle}-Z_{center})^2}=rcos(\frac{θ_{AB}}{2})
$$X_{center}=-\sqrt{\frac{(rcos(\frac{θ_{AB}}{2}))^2}{m^2+1}}+X_{middle}$$X_{center}=-\sqrt{\frac{(rcos(\frac{θ_{AB}}{2}))^2}{m^2+1}}+X_{middle}
$$Z_{center}=m(X_{center}-X_{middle})+Z_{middle}$$Z_{center}=m(X_{center}-X_{middle})+Z_{middle}
$$Z_{center}=m(x_{center}-x_{middle})+Z_{middle}$$Z_{center}=m(x_{center}-x_{middle})+Z_{middle}
$$m=-\frac{X_B-X_A}{Z_B-Z_A}$$m=-\frac{X_B-X_A}{Z_B-Z_A}
$$X_{middle}=\frac{X_A+X_B}{2}$$X_{middle}=\frac{X_A+X_B}{2}
$$X_middle=\frac{X_A+X_B}{2}$$X_middle=\frac{X_A+X_B}{2}
$$-\frac{X_B-X_A}{Z_B-Z_A}$$-\frac{X_B-X_A}{Z_B-Z_A}
$$x_{center}=-\sqrt{\frac{(rcos(\frac{θ_{AB}}{2}))^2}{m^2+1}}+x_{middle}$$x_{center}=-\sqrt{\frac{(rcos(\frac{θ_{AB}}{2}))^2}{m^2+1}}+x_{middle}
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center})^2}=rcos(\frac{θ_{AB}}{2})$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center})^2}=rcos(\frac{θ_{AB}}{2})
$$x_{center}=-\sqrt{\frac{(rcos(\frac{θ}{2}))^2}{m^2+1}}+x_{middle}$$x_{center}=-\sqrt{\frac{(rcos(\frac{θ}{2}))^2}{m^2+1}}+x_{middle}
$$Z_B=Z_{B2}-(S+r_{stylus})sin(θ_{AB})$$Z_B=Z_{B2}-(S+r_{stylus})sin(θ_{AB})
$$X_B=X_{B2}-(S+r_{stylus})cos(θ_{AB})$$X_B=X_{B2}-(S+r_{stylus})cos(θ_{AB})
$$r=\frac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_{AB}}{2})}$$r=\frac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_{AB}}{2})}
$$\frac{\sqrt{(X_B-r=X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_{AB}}{2})}$$\frac{\sqrt{(X_B-r=X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_{AB}}{2})}
$$\frac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_{AB}}{2})}$$\frac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_{AB}}{2})}
$$\frac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_AB}{2})}$$\frac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\frac{θ_AB}{2})}
$$\flac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\flac{θ_AB}{2})}$$\flac{\sqrt{(X_B-X_A)^2+(Z_B-Z_A)^2}}{2sin(\flac{θ_AB}{2})}
$$x_{center}=-\sqrt{\frac{[rcos(2.5°)］^2}{m^2+1}}+x_{middle}$$x_{center}=-\sqrt{\frac{[rcos(2.5°)］^2}{m^2+1}}+x_{middle}
$$x_{center}=-\sqrt{\frac{｛rcos(2.5°)｝^2}{m^2+1}}+x_{middle}$$x_{center}=-\sqrt{\frac{｛rcos(2.5°)｝^2}{m^2+1}}+x_{middle}
$$x_{center}=-\sqrt{\frac{(rcos(2.5°))^2}{m^2+1}}+x_{middle}$$x_{center}=-\sqrt{\frac{(rcos(2.5°))^2}{m^2+1}}+x_{middle}
$$\frac{2}{23}$$\frac{2}{23}
$$\frac{1}$$\frac{1}
$$x_{center}=-\sqrt{\frac{1}}$$x_{center}=-\sqrt{\frac{1}}
$$x_{center}=-\sqrt{2}$$x_{center}=-\sqrt{2}
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center})^2}=rcos(2.5°)$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center})^2}=rcos(2.5°)
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)}^2}=rcos(2.5°)$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)}^2}=rcos(2.5°)
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}}=rcos(2.5°)$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}}=rcos(2.5°)
$$\sqrt{(x_{middle}}$$\sqrt{(x_{middle}}
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}=r\cos(2.5°)$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}=r\cos(2.5°)
$$\sqrt{2}$$\sqrt{2}
$$/sqrt{2}$$/sqrt{2}
$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}=r\cos(2.5°)$$\sqrt{(x_{middle}-x_{center})^2+(z_{middle}-z_{center)^2}=r\cos(2.5°)
$$sqrt1$$sqrt1
$$z_{center}=m_{middle}(x-x_{middle})+z_{middle}$$z_{center}=m_{middle}(x-x_{middle})+z_{middle}
$$Z_{center}=m_{middle}(x-x_{middle})+Z_{middle}$$Z_{center}=m_{middle}(x-x_{middle})+Z_{middle}
$$Z_{center}=m{middle}(x-x_{middle})+Z_{middle}$$Z_{center}=m{middle}(x-x_{middle})+Z_{middle}
$$Z_{center}$$Z_{center}
$$Z_(center)$$Z_(center)
$$$$
$$1+2$$1+2
$$$$
$$y=3x+8$$y=3x+8
$$2(iro)$$2(iro)
$$1$$1
$$ORIGIN$$ORIGIN
$$Qf=Q/(1-m)$$Qf=Q/(1-m)
$$Qy = A(-5^2) + B × -5 + C$$Qy = A(-5^2) + B × -5 + C
$$Qx = AP^2 + BP + C$$Qx = AP^2 + BP + C
$$Qz = \frac{Q}{Qx} × Qy$$Qz = \frac{Q}{Qx} × Qy
$$Qn = Qt × \frac{273+to}{273+t} × \frac{B}{1013}$$Qn = Qt × \frac{273+to}{273+t} × \frac{B}{1013}
$$Qn = Qt*273+to/273+t*B/1013$$Qn = Qt*273+to/273+t*B/1013
$$Vo1＝｛（R1+R2）/R1｝・Vin$$Vo1＝｛（R1+R2）/R1｝・Vin
$$00001110110101100010111001110110$$00001110110101100010111001110110
$$pktn$$pktn
$$$$
$$\[ \mathcal{C}(x$$\[ \mathcal{C}(x
$$64$$64
$$１５$$１５
$$10$$10
$$lim$$lim
$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !{}_{2n-k} \mathrm{C}_k k!}{\dfrac{\left( 2n\right) !}{2^{n}}}$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !{}_{2n-k} \mathrm{C}_k k!}{\dfrac{\left( 2n\right) !}{2^{n}}}
$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !{}_{2n-k} \mathrm{C}_k}{\dfrac{\left( 2n\right) !}{2^{n}}}$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !{}_{2n-k} \mathrm{C}_k}{\dfrac{\left( 2n\right) !}{2^{n}}}
$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !{}_n \mathrm{C}_r}{\dfrac{\left( 2n\right) !}{2^{n}}}$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !{}_n \mathrm{C}_r}{\dfrac{\left( 2n\right) !}{2^{n}}}
$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !}{\dfrac{\left( 2n\right) !}{2^{n}}}$$1-\dfrac{\sum ^{n}_{k=1}\left( -1\right) ^{k-1}\left( 2n-2k\right) !}{\dfrac{\left( 2n\right) !}{2^{n}}}
$$$$
$$$$
$$S=234 n=0 ∑ ∞ ​ ( 2 1 ​ ) n$$S=234 n=0 ∑ ∞ ​ ( 2 1 ​ ) n
$$S=234 n=0 ∑ ∞ ​ ( 2 1 ​ ) n$$S=234 n=0 ∑ ∞ ​ ( 2 1 ​ ) n
$$n \simeq p = \frac{4k}{N}$$n \simeq p = \frac{4k}{N}
$$n ~- p = \frac{4k}{N}$$n ~- p = \frac{4k}{N}
$$n ~= p = \frac{4k}{N}$$n ~= p = \frac{4k}{N}
$$\frac{\frac{πr^2}{4}}{r^2} = \frac{π}{4}$$\frac{\frac{πr^2}{4}}{r^2} = \frac{π}{4}
$$\frac{πr^2}{4}\frac{r^2} = \frac{π}{4}$$\frac{πr^2}{4}\frac{r^2} = \frac{π}{4}
$$\frac{πr^2}{4}{r^2} = \frac{π}{4}$$\frac{πr^2}{4}{r^2} = \frac{π}{4}
$$\frac{2}{3}$$\frac{2}{3}
$$$$
$$E = 10^{(-1/slope)}-1$$E = 10^{(-1/slope)}-1
$$E = 10^{-1/slope}-1$$E = 10^{-1/slope}-1
$$E = 10^(-1/slope)-1$$E = 10^(-1/slope)-1
$$E = 10^[-1/slope]-1$$E = 10^[-1/slope]-1
$$E = 10[-1/slope]-1$$E = 10[-1/slope]-1
$$a=$$a=
$$yの変域：$$yの変域：
$$xの変域：$$xの変域：
$$xの変域$$xの変域
$$W=$$W=
$$v_A – v_B = \frac{2 \text{ km}}{\frac{5}{6} \text{ h}} = \frac{2 \times 6}{5} = \frac{12}{5} \text{ km/h} = 2.4 \text{ km/h} \]$$v_A – v_B = \frac{2 \text{ km}}{\frac{5}{6} \text{ h}} = \frac{2 \times 6}{5} = \frac{12}{5} \text{ km/h} = 2.4 \text{ km/h} \]
$$2＋3$$2＋3
$$an+1=pan-q$$an+1=pan-q
$$$$
$$FC2P^2v$$FC2P^2v
$$シグマ　n＊n$$シグマ　n＊n
$$Σ$$Σ
$$$$
$$$$
$$$$
$$2x²-x-15=0$$2x²-x-15=0
$$$$
$$/sigma$$/sigma
$$$$
$$$$
$$$$
$$\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{…}}}}}} = 2$$\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{…}}}}}} = 2
$$\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }}}}}}$$\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }^{\sqrt{ 2 }}}}}}
$$\”\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }”$$\”\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }”
$$\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }$$\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }^\sqrt{ 2 }
$$“an​=∑k=1n​bk​”$$“an​=∑k=1n​bk​”
$$“an​\=∑k\=1n​bk​”$$“an​\=∑k\=1n​bk​”
$$“an​\=∑k\=1n​bk​”$$“an​\=∑k\=1n​bk​”
$$V²$$V²
$$1*2$$1*2
$$$$
$$$$
$$At$$At
$$ax^2＋bx＋c$$ax^2＋bx＋c
$$$$
$$V-I₃R₃/I₃・(R₂+R₃)/R₂$$V-I₃R₃/I₃・(R₂+R₃)/R₂
$$V-I₃R₃$$V-I₃R₃
$$$$
$$$$
$$労働生産性 = \frac{経済的成果(\text{output})}{人数・時間(input)}$$労働生産性 = \frac{経済的成果(\text{output})}{人数・時間(input)}
$$労働生産性 = \frac{経済的成果(output)}{人数・時間(input)}$$労働生産性 = \frac{経済的成果(output)}{人数・時間(input)}
$$あああ = \frac{労働生産性}{労働生産sネイ}$$あああ = \frac{労働生産性}{労働生産sネイ}
$$Sh$$Sh
$$logQ=26.53-1.09logY-4.99logA+3.87logB$$logQ=26.53-1.09logY-4.99logA+3.87logB
$$logQ=$$logQ=
$$logQ=a₁+a₂logY+a₃logA+a₄logB$$logQ=a₁+a₂logY+a₃logA+a₄logB
$$logQ=a1+a2logY+a3logA+a4logB$$logQ=a1+a2logY+a3logA+a4logB
$$logQ=a1$$logQ=a1
$$$$
$$癶$$癶
$$、$$、
$$𠘨$$𠘨
$$$$
$$X二乗$$X二乗
$$|H_{i+1} – H_i |$$|H_{i+1} – H_i |
$$|H_{I+1} + H_i |$$|H_{I+1} + H_i |
$$|H_(i+1) + H_i |$$|H_(i+1) + H_i |
$$H_i$$H_i
$$\documentclass{article} \usepackage{amsmath} \begin{document} \[ y = \begin{cases} 0 & \text{if } b + w_1 x_1 + w_2 x_2 \leq 0 \\ 1 & \text{if } b + w_1 x_1 + w_2 x_2 > 0 \end{cases} \] \end{document}$$\documentclass{article} \usepackage{amsmath} \begin{document} \[ y = \begin{cases} 0 & \text{if } b + w_1 x_1 + w_2 x_2 \leq 0 \\ 1 & \text{if } b + w_1 x_1 + w_2 x_2 > 0 \end{cases} \] \end{document}
$$$$
$$200$$200
$$ℓ$$ℓ
$$l$$l
$$f = st^-2$$f = st^-2
$$f(t) = st^-2$$f(t) = st^-2
$$t^-2$$t^-2
$$形質転換効率 (cfu⁄1 µg)=コロニー数 (平均値)×プラスミド量の補正 (1 µg⁄(X )µg)×サンプリング量の補正 (1.0 mL⁄0.1 mL)$$形質転換効率 (cfu⁄1 µg)=コロニー数 (平均値)×プラスミド量の補正 (1 µg⁄(X )µg)×サンプリング量の補正 (1.0 mL⁄0.1 mL)
$$sinE=g⁰m1$$sinE=g⁰m1
$$$$
$$xG$$xG
$$volleyball$$volleyball
$$sinE=g⁰m1$$sinE=g⁰m1
$$寒い$$寒い
$$寒い$$寒い
$$1010$$1010
$$$$
$$$$
$$$$
$$面積$$面積
$$365$$365
$$2833$$2833
$$\gamma(\theta) = (r(\theta)cos\theta、r(\theta)sin\theta)$$\gamma(\theta) = (r(\theta)cos\theta、r(\theta)sin\theta)
$$$$
$$r(\theta) = (r(\theta)cos\theta、r(\theta)sin\theta)$$r(\theta) = (r(\theta)cos\theta、r(\theta)sin\theta)
$$r= r(\theta)$$r= r(\theta)
$$(r、\theta)$$(r、\theta)
$$L(\gamma) =\int_{b}^{a} \sqrt{1+(\frac{dy}{dx})^2}dt$$L(\gamma) =\int_{b}^{a} \sqrt{1+(\frac{dy}{dx})^2}dt
$$L(\gamma) =\int_{b}^{a} \sqrt{1+(\frac{dy}{dx}^2}dt$$L(\gamma) =\int_{b}^{a} \sqrt{1+(\frac{dy}{dx}^2}dt
$$L(\gamma) =\int_{b}^{a} |\dot{\gamma}(t)|dt$$L(\gamma) =\int_{b}^{a} |\dot{\gamma}(t)|dt
$$|\dot{\gamma}|$$|\dot{\gamma}|
$$L(\gamma) = \int_{b}^{a} \sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2}dt = \int_{b}^{a} \sqrt{\dot{x}^2+\dot{y}^2}dt$$L(\gamma) = \int_{b}^{a} \sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2}dt = \int_{b}^{a} \sqrt{\dot{x}^2+\dot{y}^2}dt
$$\dot{\gamma}(c)\neq0$$\dot{\gamma}(c)\neq0
$$\dot{\gamma}(c)=0$$\dot{\gamma}(c)=0
$$\dot{\gamma}(c)$$\dot{\gamma}(c)
$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))　　　(\dot{x} = \frac{dx}{dt}、\dot{y} = \frac{dy}{dt})$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))　　　(\dot{x} = \frac{dx}{dt}、\dot{y} = \frac{dy}{dt})
$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))　　　(\dot{x} = \frac{dx}{dt}、\dot{y} = \frac{dy}{dt}$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))　　　(\dot{x} = \frac{dx}{dt}、\dot{y} = \frac{dy}{dt}
$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))　　　(\dot{x} = \frac{dx}{dt}$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))　　　(\dot{x} = \frac{dx}{dt}
$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))$$\dot{\gamma}(t) := (\dot{x}(t)、\dot{y}(t))
$$\dot{\gamma}$$\dot{\gamma}
$$L(\gamma) = \int_{b}^{a} \sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2}dt = \int_{b}^{a} \sqrt{x^2+y^2}dt$$L(\gamma) = \int_{b}^{a} \sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2}dt = \int_{b}^{a} \sqrt{x^2+y^2}dt
$$L(\gamma) = \int_{b}^{a} \sqrtf(x) dx$$L(\gamma) = \int_{b}^{a} \sqrtf(x) dx
$$L(\gamma) = \int_{b}^{a} f(x) dx$$L(\gamma) = \int_{b}^{a} f(x) dx
$$|\gamma (t+\Delta t) – \gamma (t)| = \sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(\frac{\Delta x}{\Delta t})^2+(\frac{\Delta y}{\Delta t})^2}\Delta t$$|\gamma (t+\Delta t) – \gamma (t)| = \sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(\frac{\Delta x}{\Delta t})^2+(\frac{\Delta y}{\Delta t})^2}\Delta t
$$\sqrt{(\frac{\Delta x}{\Delta t})^2+(\frac{\Delta y}{\Delta t})^2}\Delta t$$\sqrt{(\frac{\Delta x}{\Delta t})^2+(\frac{\Delta y}{\Delta t})^2}\Delta t
$$\sqrt{(frac{\Delta x}{\Delta t})^2+(frac{\Delta y}{\Delta t})^}\Delta t2$$\sqrt{(frac{\Delta x}{\Delta t})^2+(frac{\Delta y}{\Delta t})^}\Delta t2
$$\gamma (t+\Delta t) – \gamma (t)| = \sqrt{(\Delta x)^2+(\Delta y)^2} = \sqrt{(frac{\Delta x}{\Delta t})^2+(frac{\Delta y}{\Delta t})^}\Delta t2$$\gamma (t+\Delta t) – \gamma (t)| = \sqrt{(\Delta x)^2+(\Delta y)^2} = \sqrt{(frac{\Delta x}{\Delta t})^2+(frac{\Delta y}{\Delta t})^}\Delta t2
$$|\gamma (t+\Delta t) – \gamma (t)| = \sqrt{(\Delta x)^2+(\Delta y)^2} = \sqrt{(frac{\Delta x}{\Delta t})^2+(frac{\Delta y}{\Delta t})^}\Delta t2$$|\gamma (t+\Delta t) – \gamma (t)| = \sqrt{(\Delta x)^2+(\Delta y)^2} = \sqrt{(frac{\Delta x}{\Delta t})^2+(frac{\Delta y}{\Delta t})^}\Delta t2
$$\Delta x := x(t+\Delta t) – x(t)、　　\Delta y := y(t+\Delta t) – y(t)$$\Delta x := x(t+\Delta t) – x(t)、　　\Delta y := y(t+\Delta t) – y(t)
$$\Delta x :=$$\Delta x :=
$$t = tan(r/2)$$t = tan(r/2)
$$t = tan(s/2)$$t = tan(s/2)
$$x(r) = cosr、　　y(r)= sinr　　　(-\pi \leq r \leqq \pi)$$x(r) = cosr、　　y(r)= sinr　　　(-\pi \leq r \leqq \pi)
$$x(t) = \frac{1-t^2}{1+t^2}、　y(t) = \frac{2t}{1+t^2}　　(t\in \mathbb{R})$$x(t) = \frac{1-t^2}{1+t^2}、　y(t) = \frac{2t}{1+t^2}　　(t\in \mathbb{R})
$$x(t) = \frac{1-t^2}{1+t^2}、　y(t) = \frac{2t}{1+t^2}　　(t\in \mathbb{R}$$x(t) = \frac{1-t^2}{1+t^2}、　y(t) = \frac{2t}{1+t^2}　　(t\in \mathbb{R}
$$\gamma (t) = (t、f(t))$$\gamma (t) = (t、f(t))
$$|\gamma (t+\Delta t) – \gamma (t)|$$|\gamma (t+\Delta t) – \gamma (t)|
$$\gamma (t) = (x(t)、y(t)) (a\leqq t \leqq b)$$\gamma (t) = (x(t)、y(t)) (a\leqq t \leqq b)
$$F_ｙ(x_0、y_0) = \frac{\delta F}{\delta y} \neq 0$$F_ｙ(x_0、y_0) = \frac{\delta F}{\delta y} \neq 0
$$\gamma (t) = (x(t)、y(t))$$\gamma (t) = (x(t)、y(t))
$$\gamma[$$\gamma[
$$(a^2-x^2-y^2)^3 – 27a^2x^2y^2 = 0$$(a^2-x^2-y^2)^3 – 27a^2x^2y^2 = 0
$$(x^2 + y^2)^2 – a^2(x^2 – y^2) = 0$$(x^2 + y^2)^2 – a^2(x^2 – y^2) = 0
$$\frac{x^2}{a^2} – \frac{y^2}{b^2} – 1 = 0$$\frac{x^2}{a^2} – \frac{y^2}{b^2} – 1 = 0
$$\frac{x^2}{a^2} + \frac{y^2}{b^2} – 1 = 0$$\frac{x^2}{a^2} + \frac{y^2}{b^2} – 1 = 0
$$\frac{x^2}{a^2} + \frac{y^2}{b^2} – 1=0$$\frac{x^2}{a^2} + \frac{y^2}{b^2} – 1=0
$$F_x(x_0、y_0) = F_ｙ(x_0、y_0) = 0$$F_x(x_0、y_0) = F_ｙ(x_0、y_0) = 0
$$F(x_0、y_0) = 0$$F(x_0、y_0) = 0
$$(x_0、y_0)$$(x_0、y_0)
$$F(x、y) = 0$$F(x、y) = 0
$$F_ｙ(x_0、y_0) = \frac{\delta y}{\delta x} \neq 0$$F_ｙ(x_0、y_0) = \frac{\delta y}{\delta x} \neq 0
$$F_x(x_0、y_0) = \frac{\delta y}{\delta x} \neq 0$$F_x(x_0、y_0) = \frac{\delta y}{\delta x} \neq 0
$$F_x(x_0、y_0) = \frac{\delta y}{\delta x} \neq$$F_x(x_0、y_0) = \frac{\delta y}{\delta x} \neq
$$F_x(x_0、y_0) = \frac{\delta y}{\delta x}$$F_x(x_0、y_0) = \frac{\delta y}{\delta x}
$$F_x(x_0、y_0) = \delta y/\delta x$$F_x(x_0、y_0) = \delta y/\delta x
$$F_x(x_0、y_0) = \delta y$$F_x(x_0、y_0) = \delta y
$$F_x(x_0、y_0) = \deltay$$F_x(x_0、y_0) = \deltay
$$F_x(x_0、y_0) = \delta$$F_x(x_0、y_0) = \delta
$$F_x(x_0、y_0)$$F_x(x_0、y_0)
$$F_1$$F_1
$$x^2+y^2-1=0$$x^2+y^2-1=0
$$y=\sqrt{1-x^2}$$y=\sqrt{1-x^2}
$$y=\sqrt{1286656900$$y=\sqrt{1286656900
$$y=\sqrt{1286656900}$$y=\sqrt{1286656900}
$$y=\sqrt\frac{1286656900}{111110888889}$$y=\sqrt\frac{1286656900}{111110888889}
$$\sqrt\frac{1286656900}{111110888889}$$\sqrt\frac{1286656900}{111110888889}
$$y = \sqrt$$y = \sqrt
$$F(x、y) = 0$$F(x、y) = 0
$$F(x\$$F(x\
$$F(x $$F(x
$$F(xy)=0$$F(xy)=0
$$F(x_$$F(x_
$$F(x$$F(x
$$y=f(x)$$y=f(x)
$$2/2+1$$2/2+1
$$$$
$$$$
$$Y =$$Y =
$$xy^2$$xy^2
$$$$
$$Thank you$$Thank you
$$Thank you$$Thank you
$$z=$$z=
$$h=$$h=
$$x= $$x=
$$limXX→お猿さん$$limXX→お猿さん
$$ｈ$$ｈ
$$(x＋3)(2x −3)$$(x＋3)(2x −3)
$$$$
$$$$
$$55$$55
$$ビッグモーター$$ビッグモーター
$$$$
$$$$
$$y=\frac7{25}lx$$y=\frac7{25}lx
$$y=\frac15lx$$y=\frac15lx
$$y=\frac3{25}lx$$y=\frac3{25}lx
$$y=\frac3(25)lx$$y=\frac3(25)lx
$$y=\frac25lx$$y=\frac25lx
$$y=\frac25fx$$y=\frac25fx
$$¥sqrt((2 ¥mu g l + v_0^2$$¥sqrt((2 ¥mu g l + v_0^2
$$$$
$$y=$$y=
$$x=$$x=
$$∠y=$$∠y=
$$ℓ=m$$ℓ=m
$$l=m$$l=m
$$次の図において，∠x の大きさを求めなさい。$$次の図において，∠x の大きさを求めなさい。
$$yの値を求めなさい。$$yの値を求めなさい。
$$∠x=$$∠x=
$$(x²-4x+2)$$(x²-4x+2)
$$g=(4π^2 L/T^2)$$g=(4π^2 L/T^2)
$$$$
$$shun$$shun
$$\bar{z_{164}}$$\bar{z_{164}}
$$隕∫ｴ逡ｪ蜿ｷ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 蟷ｳ蝮・ｨ呎ｺ門喧繧ｹ繧ｳ繧｢ 1 x_{11} x_{12} x_{13} x_{14} z_{11} z_{12} z_{13} z_{14} \bar{z_1} 2 x_{21} x_{22} x_{23} x_{24} z_{21} z_{22} z_{23} z_{24} \bar{z_2} … … … … … … … … … … 164 x_{1641} x_{1642} x_{1643} x_{1644} z_{1641} z_{1642} z_{1643} z_{1644} \bar{z_{164}}$$隕∫ｴ逡ｪ蜿ｷ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ隧穂ｾ｡ 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 隧穂ｾ｡閠・縺ｮ讓呎ｺ門喧 蟷ｳ蝮・ｨ呎ｺ門喧繧ｹ繧ｳ繧｢ 1 x_{11} x_{12} x_{13} x_{14} z_{11} z_{12} z_{13} z_{14} \bar{z_1} 2 x_{21} x_{22} x_{23} x_{24} z_{21} z_{22} z_{23} z_{24} \bar{z_2} … … … … … … … … … … 164 x_{1641} x_{1642} x_{1643} x_{1644} z_{1641} z_{1642} z_{1643} z_{1644} \bar{z_{164}}
$$$$
$$10_10_10$$10_10_10
$$10$$$10$
$$suki$$suki
$$$$
$$$$
$$X=$$X=
$$5分の8$$5分の8
$$$$
$$525$$525
$$\sqrt\frac{1286656900}{111110888889}$$\sqrt\frac{1286656900}{111110888889}
$$100000000$$100000000
$$6\int^2_1$$6\int^2_1
$$sukebe$$sukebe
$$y=ax^2$$y=ax^2
$$y-ax^2$$y-ax^2
$$y=ax~2$$y=ax~2
$$𝕌(n^1)=t⁷$$𝕌(n^1)=t⁷
$$yo$$yo
$$1/(1+e^-y)$$1/(1+e^-y)
$$(?_?)$$(?_?)
$$?^?$$?^?
$$(?o?)!$$(?o?)!
$$volleyball$$volleyball
$$$$
$$sin=Uz⁰$$sin=Uz⁰
$$$$
$$あああ$$あああ
$$f(u)∋k=y0u$$f(u)∋k=y0u
$$kor=0∫Uz⁰$$kor=0∫Uz⁰
$$ijreklgnakfjvalkfnalke$$ijreklgnakfjvalkfnalke
$$$$
$$1-1$$1-1
$$$$
$$∠x=$$∠x=
$$$a$$$$a$
$$$$
$$2l/πd$$2l/πd
$$y=((x)/(2))+((1)/(2))$$y=((x)/(2))+((1)/(2))
$$sum(2x)$$sum(2x)
$$$$
$$aν^{3}e^\frac{-bν}{T}$$aν^{3}e^\frac{-bν}{T}
$$aν^{3}e^/frac{-bν}{T}$$aν^{3}e^/frac{-bν}{T}
$$u(ν$$u(ν
$$u(ν$$u(ν
$$\sum_{k=1}^{∞} \frac{1}{k^{2}} = \frac{π^{2}}{6}$$\sum_{k=1}^{∞} \frac{1}{k^{2}} = \frac{π^{2}}{6}
$$En= -\frac{2π²k₀^{2}me⁴}{h²}\frac{1}{n²}$$En= -\frac{2π²k₀^{2}me⁴}{h²}\frac{1}{n²}
$$h=6.626 × 10^{-34}　$$h=6.626 × 10^{-34}　
$$h=6.626 × 10{-34}　$$h=6.626 × 10{-34}　
$$　h=6.626 × 10-34　$$　h=6.626 × 10-34　
$$(ν:光の振動数、c：光速度、T:絶対温度、k:ボルツマン定数、h:定数)$$(ν:光の振動数、c：光速度、T:絶対温度、k:ボルツマン定数、h:定数)
$$n:自然数$$n:自然数
$$h→0$$h→0
$$h→０$$h→０
$$mvλ$$mvλ
$$cv$$cv
$$e=k₀$$e=k₀
$$c$$c
$$Tkh$$Tkh
$$Tｋｈ$$Tｋｈ
$$ｃ$$ｃ
$$ν$$ν
$$h=6.6260775×10^{-34}$$h=6.6260775×10^{-34}
$$h=6.6260775×10^(-34)$$h=6.6260775×10^(-34)
$$h=6.6260775×10^-34$$h=6.6260775×10^-34
$$u(ν)=\frac{8πhν^3}{c^3}\frac{1}{e^\frac{hν}{kT}-1}$$u(ν)=\frac{8πhν^3}{c^3}\frac{1}{e^\frac{hν}{kT}-1}
$$u(ν)=\frac{8πhν^3}{c^3}\frac{1}{e^(hν/kT)-1}$$u(ν)=\frac{8πhν^3}{c^3}\frac{1}{e^(hν/kT)-1}
$$u(ν)=\frac{8πhν^3}{c^3}$$u(ν)=\frac{8πhν^3}{c^3}
$$2πr=nλ$$2πr=nλ
$$λ= \frac{h}{mv}$$λ= \frac{h}{mv}
$$λ= \frac{h}{mc}$$λ= \frac{h}{mc}
$$mc²=hν$$mc²=hν
$$mc²=fλ$$mc²=fλ
$$c=fλ$$c=fλ
$$E=hν$$E=hν
$$E=mc²$$E=mc²
$$En= -\frac{2π²k₀²me⁴}{h²}\frac{1}{n²}$$En= -\frac{2π²k₀²me⁴}{h²}\frac{1}{n²}
$$r= \frac{h²}{4π²k₀me²}n²$$r= \frac{h²}{4π²k₀me²}n²
$$r= \frac{h²}{4π²k₀me²}$$r= \frac{h²}{4π²k₀me²}
$$E=hν$$E=hν
$$2πr= \frac{h}{mv}$$2πr= \frac{h}{mv}
$$2π= \frac{h}{mv}$$2π= \frac{h}{mv}
$$2π　= \frac{2π}{mv}$$2π　= \frac{2π}{mv}
$$\frac{2π}{mv}$$\frac{2π}{mv}
$$\frac{2π}{/mv}$$\frac{2π}{/mv}
$$\frac{2π}{\sqrt{信号数 + 背景事象数}}$$\frac{2π}{\sqrt{信号数 + 背景事象数}}
$$2\p r = h / mv$$2\p r = h / mv
$$$$
$$2$$2
$$$$
$$$$
$$646789764644$$646789764644
$$あ$$あ
$$あ$$あ
$$\frac{信号数}{\sqrt{信号数 + 背景事象数}}$$\frac{信号数}{\sqrt{信号数 + 背景事象数}}
$$\frac{イベント数}{\sqrt{イベント数}}$$\frac{イベント数}{\sqrt{イベント数}}
$$¥frac{イベント数}{¥sqrt{イベント数}}$$¥frac{イベント数}{¥sqrt{イベント数}}
$$1/2$$1/2
$$15$$15
$$$$
$$20$$20
$$1430$$1430
$$y={-b±√(b^2-4ac)}/2a$$y={-b±√(b^2-4ac)}/2a
$$y=(-b±√b^2-4ac)/2a$$y=(-b±√b^2-4ac)/2a
$$y=_b$$y=_b
$$$$
$$f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{{-\frac{1}{2}}(\frac{x – \mu}{\sigma})^2}$$f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{{-\frac{1}{2}}(\frac{x – \mu}{\sigma})^2}
$$f(x) = \frac{1}{2^{\frac{N}{2}-1}\Gamma(\frac{N}{2})} \exp(-\frac{x^2}{2}) x^{N-1}$$f(x) = \frac{1}{2^{\frac{N}{2}-1}\Gamma(\frac{N}{2})} \exp(-\frac{x^2}{2}) x^{N-1}
$$\Gamma (x) = \int_0^\infty t^{x-1} e^t dt$$\Gamma (x) = \int_0^\infty t^{x-1} e^t dt
$$\Gamma (x) = \int_0^\infty$$\Gamma (x) = \int_0^\infty
$$\chi = \sqrt{z_1^2 + z_2^2}$$\chi = \sqrt{z_1^2 + z_2^2}
$$ds = \sqrt{dy^2 + dz^2}$$ds = \sqrt{dy^2 + dz^2}
$$\chi^2 = z_1^2 + z_2^2$$\chi^2 = z_1^2 + z_2^2
$$\TeX$$\TeX
$$|S| \le 2$$|S| \le 2
$$R_{\mu\nu} – \frac{1}{2}g_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}$$R_{\mu\nu} – \frac{1}{2}g_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}
$$f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{1}{2}}(\frac{x – \mu}{\sigma})^2$$f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{1}{2}}(\frac{x – \mu}{\sigma})^2
$$y = \frac{a}{b} (\rm{example})$$y = \frac{a}{b} (\rm{example})