Mathematical Knowledge for Teaching at the Secondary Level
... Center for Proficiency in Teaching Mathematics and the National Science Foundation under Grant No. 0119790 and the Mid-Atlantic Center for Mathematics Teaching and Learning under Grant Nos. 0083429 and 0426253 . Any opinions, findings, and conclusions or recommendations expressed in this presentatio ...
... Center for Proficiency in Teaching Mathematics and the National Science Foundation under Grant No. 0119790 and the Mid-Atlantic Center for Mathematics Teaching and Learning under Grant Nos. 0083429 and 0426253 . Any opinions, findings, and conclusions or recommendations expressed in this presentatio ...
the prime number theorem for rankin-selberg l
... if π is not equivalent to π 0 . In fact, when π and π 0 are not twisted equivalent, i.e., when π 6 ∼ = π 0 ⊗αit for any t ∈ R, where α(g) = | det(g)|, (2.1) was proved in [15]. In the remaining case when m = m 0 and π ∼ = π 0 ⊗ αiτ0 for some non-zero τ0 ∈ R, (2.1) was established in [16]. It is a fa ...
... if π is not equivalent to π 0 . In fact, when π and π 0 are not twisted equivalent, i.e., when π 6 ∼ = π 0 ⊗αit for any t ∈ R, where α(g) = | det(g)|, (2.1) was proved in [15]. In the remaining case when m = m 0 and π ∼ = π 0 ⊗ αiτ0 for some non-zero τ0 ∈ R, (2.1) was established in [16]. It is a fa ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.