A flag is a sequence of nested subspaces. Flags are ubiquitous in numerical analysis, arising finite elements, multigrid, spectral, and pseudospectral methods for pde; they arise the form Krylov subspaces matrix computations, as multiresolution analysis wavelets constructions. They common statistics too—principal component, canonical correlation, correspondence analyses may all be viewed extrac...

Expression and purification of recombinant proteins are fundamental techniques in molecular biology. Many different cell systems ranging from bacteria to mammalian cell lines are commonly used. One of the most widely used systems is the baculovirus expression system. An alternative for large-scale production of eukaryotic proteins are stably transfected Schneider Drosophila line 2 cells (Catalo...

Many natural language processing (NLP) problems involve constructing large nearest-neighbor graphs between word pairs by computing distributional similarity between word pairs from large corpora. In this paper, first we describe a system called FLAG to construct such graphs approximately from large data sets. To handle the large amount of data in memory and time efficient manner, FLAG maintains...

Distribution and lateral organization of Kv1.3 potassium channels and CD3 molecules were studied by using electron microscopy, confocal laser scanning microscopy, and fluorescence resonance energy transfer. Immunogold labeling and electron microscopy showed that the distribution of FLAG epitope-tagged Kv1.3 channels (Kv1.3/FLAG) significantly differs from the stochastic Poisson distribution in ...

For our first example, consider V = Cn. Let {e1, . . . en} be the standard basis of Cn, and fix the full flag F• = 0 ⊂ 〈e1〉 ⊂ 〈e1, e2〉 ⊂ · · · ⊂ 〈e1, . . . , en−1〉 ⊂ V Note that any other flag can be obtained from this one by acting with an element of GLn(C). Specifically, any flag V• = 0 ⊂ V1 ⊂ · · · ⊂ Vn = V in Cn has the form V• = 0 ⊂ 〈ge1〉 ⊂ 〈ge1, ge2〉 ⊂ · · · ⊂ 〈ge1, . . . , gen〉 = V for s...

We give conditions on a curve class that guarantee the vanishing of the structure constants of the small quantum cohomology of partial flag varieties F (k1, . . . , kr; n) for that class. We show that many of the structure constants of the quantum cohomology of flag varieties can be computed from the image of the evaluation morphism. In fact, we show that a certain class of these structure cons...

There is scant evidence that incidental cues in the environment significantly alter people's political judgments and behavior in a durable way. We report that a brief exposure to the American flag led to a shift toward Republican beliefs, attitudes, and voting behavior among both Republican and Democratic participants, despite their overwhelming belief that exposure to the flag would not influe...