#gridabstract

Mysteries of the Cosmic Void Unveiled

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Depict in 3D an arbitrary vector field $V_a(\bfx)$ can then be expanded as \begin{equation} V_a(\bfx) = \int \frac{d^3k}{(2\pi)^3} \left[ \tilde V^L(\bfk) \Psi^{L,\bfk}_a(\bfx) + \tilde V^1(\bfk) \Psi^{1,\bfk}_a(\bfx) + \tilde V^2(\bfk) \Psi^{2,\bfk}_a(\bfx) \right], \label{eqn:vectorexpansion} \end{equation} in terms of Fourier expansion coefficients, \begin{eqnarray} \tilde V^L(\bfk) = \int \, d^3x\, V^a(\bfx) \left[\Psi^{L,\bfk}_a(\bfx)\right]^* = -\int\, d^3x\,\left[\Psi^{\bfk}(\bfx) \right]^* \frac{1}{k} \nabla^a V_a(\bfx), \nn \\ \tilde V^1(\bfk) = \int \, d^3x\, V^a(\bfx) \left[\Psi^{1,\bfk}_a(\bfx)\right]^* = \int\, d^3x\, \left[\Psi^{\bfk}(\bfx) \right]^* \frac{1}{| \bfk \times \hatz |} \epsilon_{abc} \hat z^a \nabla^b V^c(\bfx), \nn \\ \tilde V^2(\bfk) = \int \, d^3x\, V^a(\bfx) \left[\Psi^{2,\bfk}_a(\bfx)\right]^* = \int\, d^3x\, \left[\Psi^{\bfk}(\bfx)\right]^* \frac{-i}{k| \bfk \times \hatz |} \hat{z}^a (\nabla_a \nabla_b - g_{ab} \nabla^2) V^b(\bfx). \end{eqnarray}
  • Using base image: No
  • Aspect Ratio: landscape

MathemArtist Zen Teapot

• Model: DaVinci2

• Size: 1016 X 1016 (1.03 MP)

• Used settings:

  • Prompt: MathemArtist.com Zen is widely practiced through the arts. Traditions such as the tea ceremony, ikebana (flower arrangement), and calligraphy require meditative concentration and are known for inducing a kind of calm and bridging the perceived gap between internal experience and external reality. In the tea ceremony, practitioners perform precise, ritualized movements while "giving" beauty, order, and sustenance to their guests; folding a napkin just so is for the benefit of others first and then for oneself. For this reason, tea practitioners often say that "tea and Zen are one." For most Zen practitioners, all activities from chanting to bathing to cooking are considered Zen practice, with no particular activity elevated over others.
  • Using base image: Yes

strange try

• Model: Photonic

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Mysterious forest creatures, living within a semi-circle of slender, curved tree trunks that form a part of their essence. The creatures themselves are small, hairy beings in cloaks, each wielding a dagger, serving as enforcers of will. Today, I have come to offer my life to the forest, so it may claim the villain's life. As I depart this world, one of these hairy creatures in cloaks will dart swifter than lightning, ensuring by dawn the villain joins me in the afterlife or embarks on a darker journey. The scene is shrouded in mist, ancient trees looming overhead, ethereal glow filtering through dense foliage, eerie shadows dancing, cloaks in earthy tones, intricate dagger designs, intense focus on creature details, surreal and fantastical style, artistically rendered with a touch of gothic elements, dramatic lighting casting ominous shadows, ArtStation.
  • Using base image: No
  • Aspect Ratio: square

Glowing Earth: A Network of Connectivity

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: AI destroing the world
  • Using base image: No
  • Aspect Ratio: square