This took several prompts becaue it's not easy math or type. It put extra words in there but I let it pass.
Here's the code:
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/image 16:9 "DALL-E Discussions" set in futuristic holographic typeface, is set against a Discord-grey void with brilliant electric-blue, LED, and neon streams of data creating a webbed visualization of the evaluated function in a feed-forward hyperplanar topology simulating the intricate social community network with the coaliescne of a stunning oasis set against the data streams:
import numpy as np
import matplotlib.pyplot as plt
from scipy.special import gamma
from itertools import product
def simplified_nd_gamma_plot(n, x_range):
"""
Create a simplified representation of the gamma function in n-dimensional space.
This function will create a grid of points in n-dimensional space and compute the
product of gamma function values at those points.
:param n: Dimension of the space.
:param x_range: Range of values for each dimension.
:return: A dictionary mapping n-dimensional points to their corresponding gamma function values.
"""
points = list(product(x_range, repeat=n)) # Cartesian product to create grid points
gamma_values = {point: np.prod(gamma(np.array(point))) for point in points}
return gamma_values
Example usage
n = 6 # Number of dimensions
x_range = np.linspace(0.1, 2, 11) # Adjust the range and density as needed
gamma_values = simplified_nd_gamma_plot(n, x_range)
Displaying the result
for point, value in gamma_values.items():
print(f"Point: {point}, Gamma Product: {value}")
Note: Visualization of these values would still be limited to 2D or 3D plots.
ONLY "DALL-E Discussions" should appear; this is a logo. Vignette to black background.
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