Trivial Pursuithas as much to do with the new meaning of the word "trivia" as any other factor--how important is it in the long run for a person to know "How many rings make up an arm of the Michelin Man?" People who know the answers to questions like these are said to have a...
Attaching significance to invariants is an effort to recognize what, because of its form or colour or meaning or otherwise, is important or significant in what is only trivial or ephemeral. A simple instance of failing in this is provided by the poll-man at Cambridge, who learned perfectly ho...
The second aspect is the way in which Dease’s media is altered for consumption. Not a single stroke on his paintings is changed, but when they are removed from the context of his tiny, ramshackle house, they lose their connection to their meaning. Dease faced serious abuse, and his wor...
. Although the core map and MRC are usually not regular, they are ‘almost holomorphic’, meaning that their indeterminacy loci do not dominate the base of these (rational) fibrations. In particular, their generic fibres do not meet the indeterminacy locus....
The ideal power{\mathfrak {b}}_1^nis the ideal generated by alln-fold products of elements of{\mathfrak {b}}_1. See [17, Lem. 7.3] withN = R/\mathfrak b_1^nfor a more general result. For a nonexample, the toric code in two-dimensions on the square lattice has\sigma = \...
However, the word ‘singularity’ has a more general meaning in our case because we do not need all components of the nonlinear term f(t,u) to be singular at the origin as those in [5, 6]. A nontrivial solution of (1.1) is a function u=(u_{1},\ldots ,u_{N})^{\mathrm{T...
Herein, we prove that simple (meaning, without repeated blocks) nontrivial t-(n,k,λ) designs over Fq exist for all t and q, provided that k>12(t+1) and n is sufficiently large. This may be regarded as a q-analog of the celebrated Teirlinck theorem for combinatorial designs....
theaters, and ballparks cannot do business as usual. But in times when the dark side offortunarears its ugly head, it’s worth remembering that philosophy, art, and the splendidly trivial games that athletes play, while thoroughly unnecessary, are noble—and ennobling. We crave meaning, ...
but with the meaning of the temporal axis restored. Our system represents therefore a model of a quantum system in many senses. The Stokes vector of light is an equivalent of the spin of an electron, and the non-zero Berry curvature of both the Poincaré sphere and the Bloch sphere is th...
Particulary, if T={1} or N=1, the unique stationary solution yσ(x)(σ=1) of the deterministic system (2.1) is globally exponentially stable in the classical meaning. Proof Assume both y(x) and v(x) are the stationary solutions of the system (2.1). Then we claim y(x)=v(x). ...