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...

1 Trigonometric Functions We recall the following identities for trigonometric functions. Theorem 1.1. For all x ∈ R, cos(−x) = cos(x) and sin(−x) = − sin(x). Theorem 1.2. For all α, β ∈ R, cos(α + β) = cos(α) cos(β)− sin(α) sin(β). Theorem 1.3. For all α, β ∈ R, sin(α+ β) = sin(α) cos(β) + cos(α) sin(β). Proof. For small positive angles (so α+ β is less than a right angle), the identities from...

Some facts about sines and cosines: • cos(A+B) = cos(A) cos(B)− sin(A) sin(B) • sin(A+B) = sin(A) cos(B) + cos(A) sin(B) • Cosine is an even function: cos(−θ) = cos(θ) • Sine is an odd function: sin(−θ) = − sin(θ) • cos(ωt− π/2) = sin(ωt) • R cos(ωt + φ) = R sin(φ) cos(ωt) + R cos(φ) sin(ωt), and any wave form can be written as a linear combination of sines and cosines. Similarly, A sin(ωt) +B ...