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In a context not requiring rigor, this phrase often appears as a labor-saving device when the technical details of a complete argument would outweigh the conceptual benefits. The author gives a proof in a simple enough case that the computations are reasonable, and then indicates that "in general" the proof is similar.
A word equation is a formal equality:= = between a pair of words and , each over an alphabet comprising both constants (c.f. ) and unknowns (c.f. ). [1] An assignment h {\displaystyle h} of constant words to the unknowns of E {\displaystyle E} is said to solve E {\displaystyle E} if it maps both sides of E {\displaystyle E} to identical words.
A mature female big-cone pine (Pinus coulteri) cone, the heaviest pine cone A young female cone on a Norway spruce (Picea abies) Immature male cones of Swiss pine (Pinus cembra) A conifer cone, or in formal botanical usage a strobilus, pl.: strobili, is a seed-bearing organ on gymnosperm plants, especially in conifers and cycads.
A right circular cone and an oblique circular cone A double cone (not shown infinitely extended) 3D model of a cone. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex that is not contained in the base.
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A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the sentence: "A man, a plan, a canal – Panama". ". Following is a list of palindromic phrases of two or more words in the English language, found in multiple independent collections of palindromic phra
If you've been having trouble with any of the connections or words in Sunday's puzzle, you're not alone and these hints should definitely help you out. Plus, I'll reveal the answers further down ...
In other words, it is the result of attaching the cylinder [,] by its face {} to a point along the projection : ({}). If X {\displaystyle X} is a non-empty compact subspace of Euclidean space , the cone on X {\displaystyle X} is homeomorphic to the union of segments from X {\displaystyle X} to any fixed point v ∉ X {\displaystyle v\not \in X ...