DiscreteQ- andP-symbols for spins

Using the prover ANDP to simplify orthogonality

In the 1920s, Heyting attempted at axiomatizing constructive geometry. Recently, von Plato used di4erent concepts to axiomatize the geometry: he used 14 axioms to describe the axiomatization for apartness geometry. Then he added axioms A1 and A2 to his apartness geometry to get his a8ne geometry, then he added axioms O1, O2, O3 and O4 to the a8ne geometry to get orthogonality. In total, this gi...

AlGaaSb•based MethISemiconductorMeth1 andp-i-nPhotodetectors

GaSh-based meta1semiconductor-meta1 (MSM) and pi-n photodetectors grown by molecular beam epitaxy have been demonstrated for the first time. These novel devices can offer higher bandwidths and lower excess noise because of the superior hole transport properties of GaSb and the enhanced hole ionization rate of A1GaSb alloys. MSM photodetectors employing GaSb active region and AlGaSb barrier enha...

) Spins

Feinerman [2] and Trachtenberg [3] investigated the fairness of a simplified model of dreidel. Zeilberger [4] conjectured that the expected number of spins in a game of dreidel between two players starting with n tokens each is O(n2). Later, Banderier [1] conjectured that even in a multi-player game, the expected number of spins before one of the players goes home is O(n2). We show that the exp...

Arrow Symbols: Theory for Interpretation

Tail spins

comment on essays from students in other countries, and — worst of all — provide information for incessant bureaucratic enquiries that should not be taking place at all. Non-compliance is rapidly followed by a further enquiry or a thinly veiled reprimand for being forgetful or hurtful or not attending to emails. It is madness. Is science organised effectively? Science can be pricey and the publ...