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The main character, Abelard Lindsay, is born in the ancient lunar colony Mare Serenitatis Circumlunar Corporate Republic, into a family of aristocratic Mechanists, but after being sent to the Shaper's Ring Council, he receives specialized and experimental diplomatic training and gives his loyalty to the Shapers' cause. He, his best friend and ...
The preceding interpretation of outer automorphisms as symmetries of a Dynkin diagram follows from the general fact, that for a complex or real simple Lie algebra, 𝔤, the automorphism group Aut(𝔤) is a semidirect product of Inn(𝔤) and Out(𝔤); i.e., the short exact sequence. 1 Inn(𝔤) Aut(𝔤) Out(𝔤) 1. splits.
Spectral shape analysis relies on the spectrum (eigenvalues and/or eigenfunctions) of the Laplace–Beltrami operator to compare and analyze geometric shapes. Since the spectrum of the Laplace–Beltrami operator is invariant under isometries, it is well suited for the analysis or retrieval of non-rigid shapes, i.e. bendable objects such as humans, animals, plants, etc.
A waveshaper is an audio effect that changes an audio signal by mapping an input signal to the output signal by applying a fixed or variable mathematical function, called the shaping function or transfer function, to the input signal (the term shaping function is preferred to avoid confusion with the transfer function from systems theory). [3]
Essential oils are volatile and liquid aroma compounds from natural sources, usually plants. They are not oils in a strict sense, but often share with oils a poor solubility in water.
[4] A general-purpose "all the way" shaper with clear straps that starts at the bust and ends at the knee or mid-calf is also available. Foundation garments may come with a built-in strapless bra for dresses and halters. In a broader definition, a foundation garment is a piece of garment that provides body-redefining shapes such as a bra.
Input shaping is implemented by convolving a sequence of impulses, known as an input shaper, with any arbitrary command. The shaped command that results from the convolution is then used to drive the system. If the impulses in the shaper are chosen correctly, then the shaped command will excite less residual vibration
Diamond cutting is the practice of shaping a diamond from a rough stone into a faceted gem. Cutting diamonds requires specialized knowledge, tools, equipment, and techniques because of its extreme difficulty.