Prompt: Riemannsche Flächen, auf denen mehrdeutige Funktionen wie der Logarithmus (unendlich viele Blätter) oder die Wurzelfunktion (zwei Blätter) „eindeutig“ werden. Komplexe Funktionen sind „harmonische Funktionen“ (das heißt, sie erfüllen die Laplacegleichung bzw. äquivalent dazu die Cauchy-Riemannschen Differentialgleichungen) auf diesen Hyperboliden und werden durch die Lage ihrer Singularitäten und die Topologie dieser Flächen (Zahl der Schnitte u. a.) beschrieben. Das topologische „Geschlecht“ der Riemannflächen wird durch g = w / 2 − n + 1 {\displaystyle g=w/2-n+1} gegeben, wobei in den w {\displaystyle w} Verzweigungspunkten der Fläche n {\displaystyle n} Blätter aneinandergeheftet sind. Für g > 1 {\displaystyle g>1} hat die riemannsche Fläche ( 3 g − 3 ) {\displaystyle (3g-3)} Parameter (die „Moduln“).
Der Riemannsche Abbildungssatz besagt, dass jedes einfach zusammenhängende Gebiet in der komplexen Zahlenebene C entweder zu ganz C oder dem Innern des Einheitskreises „biholomorph“ äquivalent ist.
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Prompt: "Create a stunning top-view plan of a visionary park design with an orthogonal form and triangular shapes. The plan showcases an abundance of trees, an award-winning concept that is loosely cropped to reveal its essence. This captivating layout features a green square with lush grass, intricate connections, and celestial gardens, all harmoniously blended to create a sense of innovation and uniqueness. The design includes elements like leaks and a triangular layout, adding a touch of artistry to the overall orthogonal composition. Imagine a front-page-worthy park blueprint that seamlessly integrates nature, artistry, and functionality in a top-view perspective."
Dream Level: is increased each time when you "Go Deeper" into the dream. Each new level is harder to achieve and
takes more iterations than the one before.
Rare Deep Dream: is any dream which went deeper than level 6.
Deep Dream
You cannot go deeper into someone else's dream. You must create your own.
Deep Dream
Currently going deeper is available only for Deep Dreams.
