Least Among Equals

First Among Equals First Among Equals

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Teaching schools: first among equals?

Formalizations Of Substitution Of Equals For Equals

Inference rule substitution of equals for equals has been formalized in terms of simple substitution which performs a replacement even though a free occurrence of a variable is captured contextual substitution which prevents such capture and func tion application We show that in connection with pure rst order predicate calculus the function application and no capture versions of the inference r...

Least span program witness size equals the general adversary lower bound on quantum query complexity

Span programs form a linear-algebraic model of computation, with span program “size” used in proving classical lower bounds. Quantum query complexity is a coherent generalization, for quantum algorithms, of classical decision-tree complexity. It is bounded below by a semi-definite program (SDP) known as the general adversary bound. We connect these classical and quantum models by proving that f...

Late Still Equals Large

ly large by rule, independent of specific niches and behaviors – we struggled to account for it in terms of ‘developmental constraints’ and ‘spandrels’. Now, we attempt to understand the conserved pattern of allometric scaling as a substrate for ‘evolvability’. That is, we investigate what features such a conserved plan might afford for graceful scaling and facilitated variability (that is, gen...