Now, let (u, v) = Rα(θ, φ′). Here, Rα = Ry(α). We omit the z rotation since that does not affect Yl0 which has no azimuthal dependence. The vector corresponding to coordinates (u, v) is then given by   sinu cos v sinu sin v cos u   =   cosα 0 sinα 0 1 0 − sinα 0 cosα     sin θ′ cosφ′ sin θ′ sinφ′ cos θ′   =   cosα sin θ′ cosφ′ + sinα cos θ′ sin θ′ sinφ′ cosα cos θ′ + sinα sin θ′ (...

El refuerzo del régimen de semilibertad penitenciario constituye a día hoy uno los grandes objetivos sistemas penitenciarios. La aprobación reciente una Instrucción para el acceso directo al medio abierto por la Administración Penitenciaria española nos permite reflexionar sobre distintos aspectos que implica esta concreta modalidad ejecución penal. En este caso necesidad y concepto reinserción...

5 . (b) Applying the product rule, we have ((1 + 4x)e−4x)′ = (1 + 4x)′e−4x + (1 + 4x)(e−4x)′ = 4e−4x + (1 + 4x)e−4x(−4x)′ = 4e−4x + (1 + 4x)e−4x(−4) = 4e−4x − 4e−4x − 16xe−4x = −16xe−4x. (c) [(sec(x) + tan(x))3]′ = 3(sec(x) + tan(x))(sec(x) + tan(x))′ = 3(sec(x) + tan(x))(sec(x) tan(x) + sec(x)) = 3(sec(x) + tan(x)) · sec(x) · (sec(x) + sec(x)) = 3 sec(x)(sec(x) + tan(x)). (d)(x cos(x)− 6x sin(...

The Schizosaccharomyces pombe septation initiation network (SIN) is an Spg1-GTPase-mediated protein kinase cascade that triggers actomyosin ring constriction, septation, and cell division. The SIN is assembled at the spindle pole body (SPB) on the scaffold proteins Cdc11 and Sid4, with Cdc11 binding directly to SIN signaling components. Proficient SIN activity requires the asymmetric distributi...

One can prove the following propositions: (1) For all real numbers a, b holds −(a + bi) = −a + (−b)i. (2) For all real numbers a, b such that b > 0 there exists a real number r such that r = b · −⌊ b ⌋ + a and 0 ¬ r and r < b. (3) Let a, b, c be real numbers. Suppose a > 0 and b ­ 0 and c ­ 0 and b < a and c < a. Let i be an integer. If b = c + a · i, then b = c. (4) For all real numbers a, b h...