Advanced Problems and Solutions
... An Old Problem-Reference and Comments on the Historical Case, 3.2(1965)120 Sum of 9 consecutive Fibonacci numbers, 2.3(1964)204 From Best Set of K to Best Set of K + 1? 3.2(1965)122; Addendum, 3.3(1965)204; The Lost is Found, 4.1(1966)58; The Final Word, 4.2(1966)150 Limit of series with Fibonacci p ...
... An Old Problem-Reference and Comments on the Historical Case, 3.2(1965)120 Sum of 9 consecutive Fibonacci numbers, 2.3(1964)204 From Best Set of K to Best Set of K + 1? 3.2(1965)122; Addendum, 3.3(1965)204; The Lost is Found, 4.1(1966)58; The Final Word, 4.2(1966)150 Limit of series with Fibonacci p ...
Aalborg Universitet Harmonics in transmission power systems Wiechowski, Wojciech Tomasz
... The created network model is adjusted using the SCADA measurements of the actual conditions prevailing in the entire network, exactly at the time when the harmonic measurements were performed. These SCADA measurement results, obtained from Energinet.dk, are imported into the PowerFactory network mod ...
... The created network model is adjusted using the SCADA measurements of the actual conditions prevailing in the entire network, exactly at the time when the harmonic measurements were performed. These SCADA measurement results, obtained from Energinet.dk, are imported into the PowerFactory network mod ...
Distribution of Prime Numbers
... We now study the magnitude of φ(n) as n → ∞. Clearly φ(1) = 1 and φ(n) < n if n > 1. Suppose first of all that n has many different prime factors. Then n must have many different divisors, and so σ(n) must be large relative to n. But then many of the numbers 1, . . . , n cannot be coprime to n, and ...
... We now study the magnitude of φ(n) as n → ∞. Clearly φ(1) = 1 and φ(n) < n if n > 1. Suppose first of all that n has many different prime factors. Then n must have many different divisors, and so σ(n) must be large relative to n. But then many of the numbers 1, . . . , n cannot be coprime to n, and ...
![arXiv:math/0510054v2 [math.HO] 17 Aug 2006](http://s1.studyres.com/store/data/014467696_1-4b3b027c0fc1865fd923af6e7da50abe-300x300.png)
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.