Here, • m > 0 is the mass. • k > 0 is the spring constant and the spring force −ku(t) is modeled to be proportional to u(t) (i.e. Hooke’s law). The minus sign shows that it is always a restoring force which pulls the mass back towards the equilibrium. • γ ≥ 0 is the damping constant. The damping force may come from the medium (e.g. air, water, or honey), the spring or other sources. It has a mi...

Let K be an imaginary quadratic field where p splits. We study signed Selmer groups for non-ordinary modular forms over the anticyclotomic ℤ -extension of K, showing that one inclusion Iwasawa main conjecture involving p-adic L-function Bertolini–Darmon–Prasanna implies their μ-invariants vanish. This gives alternative method to reprove a recent result Matar on vanishing plus and minus elliptic...

During cell division, the mitotic spindle assembles itself from its constituent parts. Spindle microtubule minus ends are focused into two poles, and these poles dictate where duplicated chromatids are transported at anaphase. Forces that focus microtubules into poles are crucial to spindle organization and function. Cytoplasmic dynein, a minus end–directed microtubule motor, clusters parallel ...

Reaction Symbol Value [for simulation] Reference Actin diffusion kactin, diff 20 μm 2 · s−1 [80 s−1] a α-actinin diffusion kα,diff kactin, diff/10 s −1 a NMIIA mini-filament diffusion kNMIIA, diff kactin, diff/100 s −1 a Actin polymerization at plus end kactin,poly,+ 11.6 μM −1s−1 [0.151 s−1] b [1] Actin polymerization at minus end kactin,poly,− 1.3 μM −1s−1 [0.017 s−1] b [1] Actin depolymeriza...

OBJECTIVE To assess clinical characteristics and expectations in well women requesting elective labial reduction surgery. DESIGN Prospective study of women attending an outpatient gynaecology clinic. SETTING General gynaecology clinic at a Central London teaching hospital. SAMPLE Women requesting labial reduction surgery and referred by their general practitioner. METHODS The labia mino...

Labia minora enlargement may constitute a cosmetic or functional problem for a woman, potentially leading to surgery. However, more rarely, the labia majora may also be problematic for women. This case describes the rare situation of a woman presenting with enlargement of both the labia minora and majora and her subsequent simultaneous surgical treatment.

The scaling limit of planar loop-erased random walks is described by a stochastic Loewner evolution with parameter κ = 2. In this note SLE2 in the upper half-plane H minus a simply-connected compact subset K ⊂ H is studied. As a main result, the left-passage probability with respect to K is explicitly determined. ar X iv :0 81 0. 45 03 v1 [ m at hph ] 2 4 O ct 2 00 8 A generalisation of Schramm...