The text states the method can reduce search space from "exponential to linear in the solution size." Explain, as if to a novice, how the ability to "hold the solution in an abstract space invariant" directly contributes to such a dramatic efficiency gain.

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ns five-hundred thousand Pounds Sterling, which will be almost enough to defray the Charge of the War by Land and Sea. The Reasonabless of the Act is plain, for that unmarried People are, as it were, useless to the State; they are, like Drones in a Hive, reaping the Advantage of other People's Labours; they have their Liberties and Freedoms secured by the Loss of other Men's Lives, and do not, from their own Loins, repair the native Strength of the Kingdom; they are not so good as the Spider, which hangs in the Loom drawn from her own Bowels: On the other Hand, it is reasonable to…

erved as a Telescope to bring the divine Objects nearer his View) was extremely ravished with their Beauty; but, alas! What was the Beauty of their Faces to that of their Minds, discovered to this happy Man by the soft and charming Eloquence of their Tongues? And no Man in the World was better qualified to give an Account of this noble Dialogue, than this Person, he being an accurate Short-hand Writer, and had been Pupil to Mr. _Blainey_ in that Science, and very happily had, at that Time, Pen, Ink, and Paper about him; he heard with Amazement their Discourse on common Affairs, but,…

The Doctor, in his best _Pontificalibus_'s, comes to the Place of Meeting, which was an Inn, and asks the Drawer, whether Esquire ---- was there; who answered, he was: He bids him shew him a Room, and go tell the Esquire, that Doctor ---- desired to speak with him; the Esquire desires the Doctor to come to him and the rest of the Gentlemen, they having at that Juncture no Business before them; but the Doctor sends Word again that his Business was private, and he heartily intreated the Esquire to come to him, upon which the Esquire comes: The Doctor he falls on his Knees, and begs his…

s are best executed, that bring Money into the _Exchequer_; every one would be a Fisherman, if the Fishes came like St. _Peter_'s, with Money in their Mouths: I dare engage, I will sooner get a Warrant to search for prohibited uncustomed Goods, or to seize Brewer's Copper for Non-payment of Excise, than I can prepare a Warrant to search a Bawdy-house: Do but once make it appear, that Godliness is Gain, and I will warrant you a thorough Reformation of Manners. Now my Act does this Thing to a T; I make Men honest and virtuous, and, by doing so, I make the Government rich, and ease the…

n Taxes is inconsiderable to the Supplies given by others in Children, which are an Addition to the native Strength of the Kingdom: Money is like the soft and easy Showers, which only cool and moisten the Surface of the Earth; Children are like the soaking Rain which goes to the Root, and makes Trees and Vegetables fructify for the Use of Man: Indeed, my Dear, a Batchelor can, in no Sense, be esteemed a good _Englishman_.