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That way, one can consider the colimit over the symmetric products, the infinite symmetric product. This construction can easily be extended to give a homotopy functor. From an algebraic point of view, the infinite symmetric product is the free commutative monoid generated by the space minus the basepoint, the basepoint yielding the identity ...
Volume, modulus of elasticity, distribution of forces, and yield strength affect the impact strength of a material. In order for a material or object to have a high impact strength, the stresses must be distributed evenly throughout the object. It also must have a large volume with a low modulus of elasticity and a high material yield strength. [7]
The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in three-dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball. Indeed, the ...
Serious fans of the band will pay top dollar for a well-preserved copy, with some selling for around $200 on sites like eBay. 3. The Smashing Pumpkins: ‘Mellon Collie and the Infinite Sadness ...
An infinite number of them are rep-tiles. Indeed, the simplest of all rep-tiles is a single isosceles right triangle. It is rep-2 when divided by a single line bisecting the right angle to the hypotenuse. Rep-2 rep-tiles are also rep-2 n and the rep-4,8,16+ triangles yield further rep-tiles.
The yield of the average financial stock is just 1.5%. And if you are willing to buy good companies working through what are likely to be temporary problems, you can get much higher yields.
Merton's portfolio problem is a problem in continuous-time finance and in particular intertemporal portfolio choice.An investor must choose how much to consume and must allocate their wealth between stocks and a risk-free asset so as to maximize expected utility.
Image source: Getty Images. This wasn't a one-shot transaction. Warren Buffett's Berkshire Hathaway bought 38.6% of Pilot in 2017 and followed up with another 41.4% in early 2023. Then it bought ...