The Basics of Scratching

Scratching the Surface of Probability

Scratch cards are widely used to promote the interests of charities and commercial concerns. They provide a useful mechanism for introducing many key concepts typically met by students in a first or second level under-graduate course involving probability modelling. The work described here stems from a real marketing problem. Simple card layouts lead quickly to consideration of combinatorial co...

Scratching the Scale Labyrinth

In this paper, we introduce a new approach to computeraided microtonal improvisation by combining methods for (1) interactive scale navigation, (2) real-time manipulation of musical patterns and (3) dynamical timbre adaption in solidarity with the respective scales. On the basis of the theory of well-formed scales we offer a visualization of the underlying combinatorial ramifications in terms o...

Barely Scratching the Surface

I tching or pruritus is an unpleasant sensation that evokes the desire or reflex to scratch. Itching in people with diabetes for the most part suggests a skin condition such as psoriasis, eczema, sunburn, athlete’s foot, hidradenitis suppurativa, pruritus vulvae from monilial infections, xerosis and diabetic eczema, necrobiosis diabeticorum, allergies to medications, drug eruptions, and many ot...

Scratching the Bose surface.

Particles known as fermions (such as electrons) obey the Pauli exclusion principle, which decrees that only a single fermion can occupy a particular state, such as an orbital in an atom. But the second family of particles, bosons (such as helium atoms), have no corresponding restrictions on their occupation of states. This distinction in their individual properties also carries over to the coll...

Explanation of Theoretical Basics of Analysis of the World Order