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Ai no Uta originally came about as a result of Nintendo enlisting Gan Matsumoto, credited Takeshi Tomozuma, to make music for the upcoming Pikmin. Tomozuma first came up with Ai no Uta, enlisting singer Tomoe Watanabe to contribute vocals and forming Strawberry Flower. The song was not actually featured in the game itself, instead being used as ...
An image conditioned on the prompt "an astronaut riding a horse, by Hiroshige", generated by Stable Diffusion, a large-scale text-to-image model released in 2022. A text-to-image model is a machine learning model which takes an input natural language description and produces an image matching that description.
Scalar multiplication of a vector by a factor of 3 stretches the vector out. The scalar multiplications −a and 2a of a vector a. In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra [1] [2] [3] (or more generally, a module in abstract algebra [4] [5]).
A module that has a basis is called a free module. Free modules play a fundamental role in module theory, as they may be used for describing the structure of non-free modules through free resolutions. A module over the integers is exactly the same thing as an abelian group. Thus a free module over the integers is also a free abelian group.
Vector Marketing is a direct selling subsidiary company and the marketing arm of Cutco Corporation, an Olean, New York–based cutlery manufacturer.. The company has been the subject of criticism and lawsuits for its business practices, and has been accused of being a multi-level marketing company.
In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The direct sum of modules is the smallest module which contains the given modules as submodules with no "unnecessary" constraints, making it an example of a coproduct.
The normalized vector û of a non-zero vector u is the unit vector in the direction of u, i.e., ^ = ‖ ‖ where ‖u‖ is the norm (or length) of u. [1] [2] The term normalized vector is sometimes used as a synonym for unit vector.
The total space E of any smooth vector bundle carries a natural vector field V v := vl v v, known as the canonical vector field. More formally, V is a smooth section of ( TE , π TE , E ), and it can also be defined as the infinitesimal generator of the Lie-group action ( t , v ) ↦ e t v {\displaystyle (t,v)\mapsto e^{tv}} given by the ...
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