Prompt: The Littlewood-Richardson coefficients are combinatorial numbers that arise in the study of the representation theory of symmetric groups and general linear groups. The visual representations of the Littlewood-Richardson coefficients are often depicted using tableaux, which are graphical devices for keeping track of various combinatorial objects. Such coefficients can be computed by counting skew tableaux of a certain type, and arise in the decomposition of the tensor product of irreducible representations of the general linear group or in Schubert varieties. These tableaux provide a way to understand and compute the coefficients, making intricate undergirding algebraic relationships more accessible and easier to visualize.
Prompt: Linguistics (Latin lingua 'tongue' + Greek -ikos 'of, relating to') is the broad study of human language. It delves into grammar, pronunciation, history, and how languages function across cultures.
Semantics (Greek σημαίνει (semainei) 'to signify' + -ics) zooms in on meaning within language. It analyzes how words, phrases, and sentences convey ideas and how context influences interpretation.
Semiotics (Greek σημεῖον (semeion) 'sign' + -ics) takes the biggest umbrella. It's the general theory of signs and symbols, encompassing everything from traffic signs and emojis to fashion trends and body language. Semantics becomes a branch within semiotics, focusing specifically on signs within human language.
So, linguistics is the foundation, exploring the structure of languages. Semantics builds on that, examining how meaning is built within those structures. And semiotics is the overarching field, investigating all forms of signs and symbols humans use to communicate.
Prompt: In a vast expanse of mathematical wonder, there exists a captivating machine—a Storytelling Machine. Picture it as a device weaving tales from the essence of numbers and symbols, its gears both forming and traversing intricate mathematical patterns. Within this machine reside characters, each governed by its unique set of rules dictating their interactions. Imagine figures, each with its own distinct shape and color, representing these characters, gathering around the machine, ready to contribute to the unfolding narrative.
Now, envision a special version of this machine—the Monster Storyteller. Its structure is adorned with intricate mathematical symbols and diagrams, reminiscent of ancient runes etched onto its surface. This extraordinary creation delves into the realm of mathematical marvels known as vertex algebras. Here, instead of characters, it hosts mathematical entities called "vertex operators," depicted as dynamic shapes pulsating with energy, each with its own distinct behavior. These operators too - much like characters in a story - follow precise rules governing their interactions within the mathematical narrative.
At the core of the Monster Storyteller lies a connection to an enigmatic group—the Monster group. Visualize this group as a vast, intricate tapestry, stretching across the mathematical landscape, its threads weaving together in mesmerizing patterns. Just as the Monster Storyteller weaves its tales, the Monster group reveals symmetries and patterns beyond comprehension, depicted as interlocking shapes and symbols, forming an elaborate web of mathematical beauty.
Prompt: The young mathematician stared intently at the chalkboard, the equations and diagrams seeming to swirl before her eyes. She was trying to wrap her mind around one of the most enigmatic ideas in modern mathematics - the Grothendieck-Teichmüller tower. It began with moduli spaces, those abstract realms where all the curves and shapes of a certain kind could be catalogued and studied. The Teichmüller tower was a staggering edifice made up of moduli space after moduli space, each level corresponding to curves of increasing complexity and intricacy. At first glance, it seemed like a bizarre piece of mathematical architecture with no greater purpose. But the brilliant mind of Alexander Grothendieck had seen its deeper significance. He realized this geometric tower could unlock the mysteries of the absolute Galois group - that most fundamental object in arithmetic's secret laws. Grothendieck didn't just glimpse this connection, he formally conjectured that the two were inexorably linked. The absolute Galois group, which had vexed mathematicians for centuries, could be understood through the geometric symmetries of the Teichmüller tower itself. To bridge this arithmetic and geometric realms, Grothendieck's disciples had defined a new mathematical group - the Grothendieck-Teichmüller group. A group whose elements encoded the hidden shapes and transformations preserving the structure of the enigmatic tower. As she stared at the chalkboard, the young mathematician felt like she could almost see the Teichmüller tower stretching up into higher dimensions. If Grothendieck's bold conjecture could be proven, it would reveal a profound truth about numbers and their most elusive mysteries. (In Grothendieck's time Abstract Expressionism, Pop Art, and Minimalism were in vogue.)
Prompt: humanoid figure made of ice, highly detailed, intricate crystalline structures, ethereal glow, frosty atmosphere, surrounded by snowflakes, cinematic lighting, digital painting, masterpiece quality by Artgerm and Greg Rutkowski, 4k resolution, surreal fantasy setting
Prompt: A mad seeker of the truth tries to decipher PyTh#N$aQ9ltShk35rHy1d_rB1G5U2mD&a31n+19$\u2601m@+T7X2zUvF7JwLk8_8sZrNkL3Pw1Hb%G+%8vJ$t5aCq4JmHt^8$nR1FbL2Qz7Q@5H2aX&s+%9D3W+&J$XbQ7^d5xJ3r*m% a message from OpenAI's ChatGPT which is supposed to hold meaning. But what does PyTh#N$aQ9ltShk35rHy1d_rB1G5U2mD&a31n+19$\u2601m@+T7X2zUvF7JwLk8_8sZrNkL3Pw1Hb%G+%8vJ$t5aCq4JmHt^8$nR1FbL2Qz7Q@5H2aX&s+%9D3W+&J$XbQ7^d5xJ3r*m% mean?
Prompt: On a magical starry night, amidst a vibrant splash of colors, an extraordinarily beautiful and adorable 20-year-old Spider-Girl emerges as the captivating focal point. Dressed in a sleek, black-white spider costume, her striking red braids, enchanting eyes, cutest bloated cheeks, and red lips radiate elegance and strength. The allure of her mysterious powers blends seamlessly with the dynamic energy of the artwork. A truly beautiful scene, place, and girl come to life in this colorful painting.
Prompt: Atmospheric and colorful illustration.
In a spring-like, atmospheric alpine landscape, a young woman with braided, chestnut-brown hair sits at an easel.
The woman is painting a picture of the landscape in front of her with oil paints.
Beautiful daylight, atmospheric and flooded with light.
Prompt: Realistic full body portrait, Vibrant steampunk woman, long flowy curly orange hair, adorned with a top hat, futuristic attire, clockwork arms, brass and copper tones, luminous mechanical eyes, industrial-Victorian fusion, dynamic and striking stance, intricate gear elements, fantastical setting, exceptional digital artistry, high-resolution precision, dramatic lighting for shadows, touch of Art Nouveau elegance, displayed on ArtStation.
Prompt: Steampunk Mantis creation, elaborate clockwork legs, brass and copper hues, luminous mechanical eyes, fusion of industrial and Victorian styles, perched gracefully on a branch, striking and dynamic stance, intricate gears integrated, set in a fantastical world, digital artwork with exceptional detail, high-resolution output, dramatic lighting for shadow play, hint of Art Nouveau flair, showcased on ArtStation.
Prompt: Mechanical steampunk owl, intricate gear and cog wings, brass and copper tones, detailed feathers, glowing mechanical blue eyes, industrial aesthetic, Victorian era inspiration, flying mid-air, dynamic pose, clockwork elements, fantasy setting, digital illustration, high resolution, dramatic lighting casting shadows, Art Nouveau influence, ArtStation.
Prompt: God face in the sky, tearful eyes dripping own his face, celestial being, rain cascading down, people with colorful umbrellas, rain boots, wet streets, reflective puddles, urban setting, diverse crowd, dramatic lighting, emotional atmosphere, spiritual transformation, surreal scene, digital art, detailed textures, vibrant colors, realistic style, impactful storytelling.
Prompt: A face of a women depicting the earth element with gleaming marble like light pale brown eyes. Pebbles and sand decorates her features, chiseled light brown skin tone, Cupid bow lips with visible fissure. Patterns made of earth and sand forming her face. The hair is a curly cascade of muddy earth. Beautiful and grounded expression.
Prompt: A woman exuding an adventurous aura, seated on the ground and gazing directly at the viewers, creating a sense of connection and engagement.
The woman's posture and gaze convey a sense of resilience and determination amidst the chaos of the volcanic eruption, adding an adventurous touch to the scene.
The woman is depicted wearing an adventurous outfit, which complements the dramatic setting and enhances her portrayal as a bold and adventurous character.
The solitary, stalwart tree near the woman adds depth to the image and symbolizes resilience in the face of adversity.
An active volcano's eruption, with clouds weaving through the fiery glow, creating a dramatic and evocative atmosphere in the background.
The woman's silhouette stands out against the backdrop of the volcanic eruption, capturing the viewer's attention and adding to the scene's intrigue.
A rich palette of deep reds, vibrant oranges, and intense yellows for the volcanic eruption, contrasting with cooler blues and purples of the sky, enhancing the scene's visual impact.
Prompt: space war, dark watercolor and sketch style. anime. (((blouse, red skirt, stockings, heels))) (((distant shot, wide angle))) fine details, intricate, hyperdetailed (((soft, shaded))), (((wind-blown, falling from an explosion inside a spaceship))), saturated color (((beautiful short young woman with luscious very long thick blonde hair, bangs, big blue eyes, long full lashes))) wounded
Prompt: View of a tropical beach on a Tropical island, looking on a dirty steampunk city with big smoking skyscrapers near a big mountain on a island in the background surrounded by the turquoise sea. lagoon, palms, beach, Coral reef, multicolor trees. clear water, waves, green glowing modern cruiser ship, lightning, purple and green and black clouds in the sky
Prompt: show me a super fancy cup of coffee sitting on top of a mushroom that is growing out of a crystal clear blue lake and the sun is shining down on it, colorful steam rising from the cup of coffee
Prompt: a high quality professional photo of a breathtaking ethereal masterpiece showcasing the full body shot of a stunning woman with a perfect round shape, celestial matter, and energy. Her whole being radiates with flawless chalky white sparkling skin and pitch black star sparkling hair. She wears a deep scarlet red dress and shoes, exuding extreme elegance and class as she dances, blending seamlessly with space itself - a galaxy adorned with stars and nebulae, creating a scarlet red and black universe. This artwork is a seamless blend of a professional photo capturing a dynamic dancing performance and a Hubble telescope photo of a remote galaxy, resulting in an epic masterpiece filled with intricate details. The image features high dynamic range (HDR), cinematic postprocessing techniques, volumetric lighting that enhances the celestial aura, and a visually striking composition that invokes a sense of awe and wonder.
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.