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The Algebraist

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He constructed the classifying space of a topological group and gave a geometric realisation of a semi-simplicial complex. The Nasqueron Dwellers are an advanced and ancient civilisation of non-humanoids who inhabit gas giants.

Algebra - Wikipedia Algebra - Wikipedia

It allows the reference to "unknown" numbers, the formulation of equations and the study of how to solve these. These are a Slow species whose lives span billions of years and they are notoriously uninterested in the affairs of the Quick - like humans whose entire existence may rise, flourish and fall in less time than it takes a Dweller to have a nap.

Diophantus used this method of algebra in his book, in particular for indeterminate problems, while Al-Khwarizmi wrote one of the first books in arabic about this method.

The Algebraist - Wikiwand

Where one column fell and rolled across a shallow river valley, it formed a sort of angled cylindrical dam, over which the water spills, is caught and channelled by one of the metres-deep grooves embellishing the column’s length, and then flows down to what remains of the column’s ornately carved capital and a series of small, graceful waterfalls which end in a deep pool just beyond the tall, dense hedges which mark the highest limit of our gardens. It's not the word count that's the problem, although the glut of information dilutes the emotional impact of some of the dramatic turns, but that the author's personality - cheery, optimistic, absurd-aware - is so strong it drowns out chances for genuine pathos.

Again thanks to genetic manipulation, the Archimandrite was now and had been for some long time a tall, well-built man with considerable upper-body strength, and when he punched in anger - and he rarely punched in any other state - it was to considerable effect. Other examples of sets include the set of all two-by-two matrices, the set of all second-degree polynomials ( ax 2 + bx + c), the set of all two dimensional vectors of a plane, and the various finite groups such as the cyclic groups, which are the groups of integers modulo n.

The Algebraist by Iain M. Banks | Goodreads

Much high-calibre espionage, imaginative intellectualising and mega-ordnance goes off in spectacular fashion during Fassin's travails. The novel ends with Taak, having left Ulubis and joined the Beyonders, suggesting to a lifelong friend he has just discovered is an AI, "One day we'll all be free".

Portals are relatively small and can be anywhere within a system so long as it is a point of low gravitational gradient, such as a Lagrange point.

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