
%$$2\pi\,{\rm rad} \simeq 360^\circ \simeq 24\,{\rm h} \simeq 1\,{\rm d}\label{2pi}$$

$${\rm au} \doteq 1{,}5\cdot 10^{11}\,{\rm m}\label{au}$$

$$A = (Ht)^{1\over 3}\label{A}$$

$$A = (Ht)^{2\over 3}\label{A_1}$$

$$A = \e^{Ht}\label{A_2}$$

$$|\vec B| = {\mu I\over2\pi r}\label{B}$$

$$c = \lambda f\label{c}$$

$$c \doteq 3\cdot 10^8\,{\rm m}\,{\rm s}^{-1}\label{c_1}$$

$$c_{\rm s} = \sqrt{\gamma kT\over m}\label{c_s}$$

$${\rm e} \doteq 3\label{e}$$

%$$\e^{\i\varphi} = \cos\varphi + \i\sin\varphi\label{exp}$$

$${\rm eV} \doteq 1\cdot 10^{-19}\,{\rm J}\label{eV}$$ 

$$|\vec E| = {U\over x-x'}\label{E}$$

$$E_0 = mc^2\label{E_0}$$

$$E_{\rm k} = {1\over 2}mv^2\label{E_k}$$

$$E_{\rm g} = -{GMm\over r}\label{E_g}$$

$$E_{\rm e} = {k_{\rm e}Qq\over r}\label{E_e}$$

$$E_\gamma = hf\label{E_gamma}$$

$$E_U = kT\label{E_U}$$

$$E_W = Pt\label{E_W}$$

$$E_W = F_\parallel|x-x'|\label{E_W_1}$$

$$E_W = p(V-V')\label{E_W_2}$$

$$E_Q = mC(T-T')\label{E_Q}$$

$$E_{ij} \doteq -13{,}6\,{\rm eV}\left({1\over i^2} - {1\over j^2}\right)\label{E_ij}$$

$$E_\alpha \doteq 28\cdot10^6\,{\rm eV}\label{E_alpha}$$

$$f = {1\over T}\label{f}$$

$$\vec F = m\vec a\label{F_ma}$$

$$\vec F = m\vec g\label{F_mg}$$

$$\vec F = q\vec E\label{F_E}$$

$$F = qv|\vec B|\label{F_B}$$

$$F = pS\label{F_p}$$

$$F = -ky\label{F_ky}$$

$$F \doteq -mg\varphi\label{F_phi}$$

$$F = -{GMm\over r^2}\label{F_g}$$

$$F = {k_{\rm e}Qq\over r^2}\label{F_e}$$

$$F = -{mv^2\over r}\label{F_c}$$

$$F = -m\omega^2y\label{F_omega}$$

$$F = V(\varrho'-\varrho)g\label{F_b}$$

$$F = KF_\perp\label{F_f}$$

$$F = K\varrho S v v\label{F_S}$$

%$$F = I(x-x')|\vec B|\label{F_B_2}$$

$$\vec F_{12} = -\vec F_{21}\label{F_12}$$

$$g = {GM_{\rm Z}\over R_{\rm Z}^2}\label{g}$$

%$$g \doteq 10\,{\rm m}\,{\rm s}^{-2}\label{g}$$

$$G \doteq 6\cdot 10^{-11}\,{\rm N}\,{\rm kg}^{-2}\,{\rm m}^2\label{G}$$

$$h \doteq 6\cdot 10^{-34}\,{\rm J}\,{\rm s}\label{h}$$

$$H \doteq 0{,}07\,{\rm m}\,{\rm s}^{-1}\,{\rm pc}^{-1}\label{H}$$

$$I = {Q\over t}\label{I_Qt}$$

$$I = {1\over R}U\label{I_R}$$

$$I = {1\over\omega L}U\label{I_L}$$

$$I = \omega CU\label{I_C}$$

%$$I_f = {2hf^3\over c^2} {1\over\e^{hf\over kT}-1}\label{I_f}$$

%$$k = {2\pi\over\lambda}\label{k}$$

$$k \doteq 1\cdot 10^{-23}\,{\rm J}\,{\rm K}^{-1}\label{k}$$

$$k_{\rm e} \doteq 9\cdot 10^9\,{\rm N}\,{\rm C}^{-2}\,{\rm m}^2\label{k_e}$$

$$m = \varrho V\label{m}$$

$$m' = {m\over\sqrt{1-{v^2\over c^2}}}\label{m_}$$

$$m_{\rm p} \doteq 1\cdot 10^{-27}\,{\rm kg}\label{m_p}$$

$$m_{\rm e} \doteq 1\cdot 10^{-30}\,{\rm kg}\label{m_e}$$

$$m_{\rm Vega} \doteq 0\,{\rm mag}\label{m_Vega}$$

$$m = m' - 2{,}5\log_{10}{\Phi\over\Phi'}\label{pogson}$$

$$M_{\rm g} \doteq \left({kT\over Gm}\right)^{3/2}\!\!\rho^{-1/2}\label{M_g}$$

$$M_{\rm Z} \doteq 6\cdot 10^{24}\,{\rm kg}\label{M_Z}$$

$$M_{\rm S} \doteq 2\cdot 10^{30}\,{\rm kg}\label{M_S}$$

$$N = {M\over m}\label{N}$$

%$$n = {N\over V}\label{n}$$

$$n \doteq {\sin\alpha\over\sin\beta}\label{n}$$

$$N = N_0\exp(-\lambda t)\label{N_t}$$

$${1\over o} = {1\over x} + {1\over x'}\label{o^-1}$$

%$${1\over o} = (n-1){1\over r}\label{o^-1_2}$$

$$o = {r\over 2}\label{o}$$

$$\vec p = m\vec v\label{p}$$

$$\vec p' = \vec p + \vec F(t'-t)\label{p_}$$

$$|\vec p| = {E\over c}\label{p_gamma}$$

$$p = {k\over\scriptscriptstyle m}\varrho T\label{p_gas}$$

$$p = K\!\left(1-{\varrho\over\varrho_0}\right)\label{p_solid}$$

$$p = z\rho g\label{p_z}$$

$$p = K\rho^\gamma\label{p_ad}$$

$$P = Fv\label{P_Fv}$$

$$P = \Phi S\label{P_PhiS}$$

$$P = UI\label{P_UI}$$

$${\rm pc} = {1\,{\rm au}\over\tg 1''}\label{pc}$$

$$q \doteq 1\cdot 10^{-19}\,{\rm C}\label{q}$$

$$r = a{(1-e^2)\over 1+e\cos\varphi}\label{r}$$

$$r_0 = {h^2\over 4\pi^2 m_{\rm e}k_{\rm e}q^2}\label{r_0}$$

$$r_{\rm g} = {2GM\over c^2}\label{r_g}$$

$$R_{\rm Z} \doteq 6\cdot 10^6\,{\rm m}\label{R_Z}$$

$$R_{\rm S} \doteq 6\cdot 10^8\,{\rm m}\label{R_S}$$

$$S = 4\pi R^2\label{S}$$

$$t = t_*-\alpha\label{t}$$

$$t_* \doteq 24110\,{\rm s} + {365{,}2422+1\over365{,}2422}({\rm UT1}-{\rm J2000}) + \lambda\label{t_star}$$

$$t' = {t \over\sqrt{1-{v^2\over c^2}}}\label{t_}$$

$$t \doteq {1\over H}\label{t_H}$$

$$t = (4{,}567\pm0{,}001)\cdot 10^9\,{\rm r.}\label{t_ss}$$

$$T = 2\pi\sqrt{m\over k}\label{T_mk}$$

$$T = 2\pi\sqrt{r\over g}\label{T_rg}$$

$$T = 2\pi\sqrt{a^3\over G(M\!+\!m)}\label{kepler}$$

$$T = 2\pi\sqrt{LC}\label{T_LC}$$

$$T_{0\,^\circ{\rm C}} \doteq 273\,{\rm K}\label{T_0}$$

$$T_{\rm S} \doteq 6\,000\,{\rm K}\label{T_S}$$

$$v = at\label{v_at}$$

$$v = \omega r\label{v_omegar}$$

$$v = Hr\label{v_Hr}$$

$$v = \sqrt{G(M\!+\!m)\over r}\label{v_k}$$

$$v = \sqrt{3kT\over m}\label{v_T}$$

$$V = {4\over 3}\pi R^3\label{V}$$

$$x = vt\label{x}$$

$$x = {1\over 2}at^2\label{x_0.5at^2}$$

$$x' = x\sqrt{1-{v^2\over c^2}}\label{x_}$$

$$\bar x = {1\over N}\sum_{i=1}^N x_i\label{bar_x}$$

$$y = K\sin(\omega t)\label{y}$$

$$y = K\sin(kx-\omega t)\label{y_2}$$

%$$Z = {y'\over y}\label{Z}$$

%$$Z' = {o\over o'}\label{Z_}$$

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

$$\alpha' = \alpha\label{alpha_}$$

$$\varepsilon = {x'-x\over x}\label{epsilon}$$

$$\varepsilon = \alpha(T'-T)\label{epsilon_2}$$

$$\lambda\,j = B\sin\alpha\label{lambda_j}$$

$$\lambda = {K\over T}\label{wien}$$

$$\lambda' = \lambda\left(1+{v_{\rm r}\over c}\right)\label{doppler}$$

$$\mu \doteq 1\cdot 10^{-6}\,{\rm T}\,{\rm A}^{-1}\,{\rm m}\label{muvac}$$

$$\pi \doteq 3\label{pi}$$

$$\sigma = E\varepsilon\label{sigma}$$

$$\sigma = 5\cdot10^{-8}\,{\rm W}\,{\rm m}^{-2}\,{\rm K}^{-4}\label{sigma_2}$$

$$\sigma^2 = {1\over N-1}\sum_{i=1}^N (x_i-\bar x)^2\label{sigma^2}$$

$$\varphi \doteq {1\,{\rm au}\over r}\label{phi}$$

$$\varphi = 1{,}22\,{\lambda\over D}\label{phi_2}$$

$$\varphi = {d\over o}\label{phi_3}$$

$$\Phi = \sigma T^4\label{Phi}$$

$$\Phi = \Phi_0\e^{-\kappa\rho x}\label{Phi_}$$

%$$\Phi_{\rm m} = |\vec B|S\label{Phi_m}$$

$$\omega = 2\pi f\label{omega}$$

\endinput


