5 months ago A marble sculpture of a young African American woman with long, flowing, wavy. Her striking eyes are framed by long, thick lashes. She has a symmetrical face with a small, straight nose and full, natural lips. She is wearing a simple blue top. The background is a plain, light blue, putting full focus on her. The overall aesthetic is natural and soft, highlighting her ethereal beauty., , realistic sculpture out of smooth marble stone, shot in 4k resolution with ambient occlusion, plaster texture, soft lighting, cinematic, photorealistic, ultra-detailed, 8k, octane render, unreal engine, ray tracing, hdr. Selfishreasons 3 85
2 months ago A digital 4K image of two ethereal glowing blue hands reaching towards each other in a mystical forest setting. The hands are rendered in a wireframe mesh style with a luminous blue glow, creating a holographic effect. The hands are positioned symmetrically in the center of the frame, with palms facing each other and fingers spread in an open gesture. The background features a dark forest environment with blurred green foliage and bokeh lighting effects creating a dreamy atmosphere. The overall color palette consists of deep blues, forest greens, and dark shadows, creating a magical and otherworldly ambiance. The hands cast a soft blue glow on the surrounding environment, emphasizing their supernatural nature. b8fd5e3a917 PRO 0 29
2 months ago 10 luxurious rococo baroque ornamental frame, highly ornate acanthus leaves, curling vines, floral swirls, symmetrical, detailed black and white engraving, clean line art, smooth curves, no shading, no color, isolated on white background --ar 9:16 --v 6 --style raw 21758c65649 0 22
2 months ago ornate rococo baroque line divider, symmetrical horizontal flourish, floral swirls, highly detailed, elegant engraving style, black and white line art, clean vector, needs to be all appearant in the frame without cutting the design or abrupt interruptions -like paths, isolated on white background --ar 3:1 --v 6 --style raw 21758c65649 0 30
27 days ago We consider the action $S_{\phi q}$ involving only $\phi_{\mu\nu}$ and quark fields $q(x)$ in general frames with Poincar\'e metric tensor $P_{\mu\nu}$: \be S_{\phi q} = \int (L_{\phi q} + L_{gf})d^4 x, \ee %%%%%%%%15%%%%22%%%%%24%%%22%%%19 \be L_{gf}=\frac{1}{2g^2}\e_{\a\b}\left[\p_\mu J^{\mu\a} - \frac{1}{2}\e^{\a\ld}\p_{\ld} J^\mu_\mu\right] \left[\p_\nu J^{\nu\b} - \frac{1}{2}\e^{\b\ld}\p_{\ld} J^\nu_\nu\right], \ee %%%%16%%%%%%%23%%%%%25%%%23%%%%20 where $L_{\phi q}$ is given in (7) with the $T(4)$ gauge curvature $C_{\mu\nu\a}$ given by (5). We have included a gauge-fixing term $L_{gf}$ specified by (20) involving ordinary partial derivative to break the $T(4)$ gauge symmetry so that the solution of gauge field equation is well-defined. The reason for including $L_{gf}$ is that field equations with gauge symmetry are known to be not well defined in general and that it is a nuisance to find explicit solutions of such field equations without having a gauge-fixing term. The quark fields play the source for producing a gravitational potential field $\phi_{\mu\nu}$. The $T(4)$ gravitational field equation for symmetric tensor field, $\phi_{\mu\nu}=\phi_{\nu\mu}$ can be derived from (19), \be H^{\mu\nu} + A^{\mu\nu}= \frac{g^2}{2} Sym \ \left[ \overline{q} i\G^\mu D^\nu q - i(D^\nu \overline{q}) \G^\mu q \right]\equiv g^2 T^{\mu\nu} , \ee %%%%%26%%%17%%%%%%%%%24%%%%%%26%%%24%21 $$ H^{\mu\nu} = Sym \left[D_\ld (J^{\ld}_\rho C^{\rho\mu\nu} - J^\ld_\a C^{\a\b}_{ \ \ \ \b}P^{\mu\nu} + C^{\mu\b}_{ \ \ \ \b} J^{\nu\ld}) \right. $$ %%%%%%%%%%%%%%%%%%%%%%%%20%%% \be \left. - C^{\mu\a\b}D^\nu J_{\a\b} + C^{\mu\b}_{ \ \ \ \b} D^\nu J^\a_\a - C^{\ld \b}_{ \ \ \ \b}D^\nu J^\mu _\ld\right], \ee %%%%%%%27 %%%%%%%%%%18%%%%%%%%%25%%%27%%%%25%%522 \be A^{\mu\nu} =Sym \left[ \p^\mu \left(\p^\ld J_\ld{^\nu} - \frac{1}{2} \p^\nu J \right) - \frac{\e^{\mu\nu}}{2} \left(\p^\a \p^\ld J_{\ld\a} - \frac{1}{2} \p^\a \p_\a J \right)\right], \ee %%%19%%%%%%%%%%26%%%%%%%%28%%%%%26%%%523 where $D_{\mu}q=\p_{\mu}q$ and $J= J^\ld_\ld$. The symbol `Sym' in Eqs. (21)-(23) denotes that $\mu$ and $\nu$ should be made symmetric. 620ba102fd7 0 21