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Stable Diffusion is a deep learning, text-to-image model released in 2022 based on diffusion techniques. The generative artificial intelligence technology is the premier product of Stability AI and is considered to be a part of the ongoing artificial intelligence boom .
Stable Diffusion Mohammad Emad Mostaque ( Bengali : মোহম্মদ ইমাদ মোশতাক ; born 17 April 1983) is a British-Bangladeshi business executive , mathematician , and former hedge fund manager. [ 3 ]
A ball at rest in a valley (right) will return to the bottom if moved slightly, or perturbed, and is thus dynamically stable. One on the top of a hill (left) will accelerate away from its rest point if perturbed, and is thus dynamically unstable. Plasmas have many mechanisms that make them fall into the second group under certain conditions.
where : + is a Lebesgue measurable essentially bounded external input and is a Lipschitz continuous function w.r.t. the first argument uniformly w.r.t. the second one. This ensures that there exists a unique absolutely continuous solution of the system ().
The smallest value of the safety factor will be taken as representing the global stability condition of the slope. Similarly, a slope can be locally stable if a safety factor larger than 1 is computed along any potential sliding surface running through a limited portion of the slope (for instance only within its toe).
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The importance in probability theory of "stability" and of the stable family of probability distributions is that they are "attractors" for properly normed sums of independent and identically distributed random variables. Important special cases of stable distributions are the normal distribution, the Cauchy distribution and the Lévy distribution.
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