Periods of differentials and relative extremal length. II.

Extremal Length and Conformal Capacityo

Transboundary Extremal Length

We introduce two basic notions, `transboundary extremal length' and`fat sets', and apply these concepts to the theory of conformal uniformization of multiply connected planar domains. A new short proof is given to Koebe's conjecture in the countable case: every planar domain with countably many boundary components is conformally equivalent to a circle domain. This theorem is further generalized...

Extremal Length of Vector Measures

We define the extremal length of vector measures. We show the reciprocal relation between extremal distance and extremal width of vector measures.

Least Squares Analysis of Noise-Free Tides Using Energy Conservation and Relative Concentration of Periods Criteria

In this article, a new approach to tidal harmonic analysis is introduced. This approach incorporates more constituents in the least squares method for a fixed duration of noise-free tidal record and results in a more accurate tidal prediction. Moreover, it is demonstrated that 135 days of hourly data, which is significantly less than 369 days data in the Rayleigh criterion, is sufficient for th...

Length-weight and length-length relationships, Relative condition factor and Fulton?s condition factor of Five Cyprinid species in Anzali wetland, southwest of the Caspian Sea

This study was conducted to determine length-weight and length-length relationships, relative condition factor (Krel) and Fulton?s condition factor (K) for five species including Scardinius erythrophtalmus, Carassius auratus gibelio, Cyprinus carpio, Tinca tinca and Hemiculter leucisculus belonging to Cyprinidae family. Fish sampling was carried out by gill net and fyke net in the western regio...