Summary of the pro ject by A. Shlapunov "The Cauchy Problem for Elliptic Complexes" It is well known, that the Cauchy problem for elliptic equations is ill-posed in all the standard functional spaces. ... For overdetermined elliptic systems this approach was based on Integral Representation Method. ... Differential complexes appear as compatibility conditions for overdetermined systems of differential equations (such as, for example, Maxwell system or multidimensional Cauchy-Riemann system). ...

... ATNF Home . About ATNF . ... About ATNF overview . ... Australia Telescope Steering Committee . ... Australia Telescope User Committee . ... Facilities . ATNF facilities . ... Australian Square Kilometre Array Pathfinder . Murchison Radio-astronomy Observatory . ... Parkes radio telescope . Australia Telescope Compact Array . Mopra radio telescope . ... ATCA . ... Visiting Parkes radio telescope . Visiting Australia Telescope Compact Array . ... Parkes radio telescope webcam . ...

An introduction to the celestial sphere, describing its . apparent rotation and the special role of the pole star. ... This lesson plan supplements the web page listed below. Originally named "The sky above us" , it was split into two parts, each of which now has a lesson plan. ... Celestial sphere, constellation, zodiac, celestial pole, the Pole Star ("Polaris"), celestial equator, rotation of the Earth, planets [theodolite, equatorial axis]. ... What makes the Pole Star special? ...

... In the US and in other mid-latitude countries north of the equator (e.g those of Europe), the sun's daily trip (as it appears to us) is an arc across the southern sky. ... Moss avoids direct sunlight, and with the sun's path curving across the southern sky, the north side of a tree-trunk is the one most shaded. ... In addition, they are invariably tilted at an angle around 450, to make sure that the arrival of the sun's rays is as close to perpendicular as possible. ...

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... Spherical aberration, coma, and astigmatism are also easily observed using the star test. ... Off-axis images are complex. ... Fig. ... Diffraction by a circular aperture as a function of defocus for no aberration Airy Disk 1 wave defocus Less than 1 wave defocus Fig. ... Diffraction by a circular aperture as a function of defocus for third-order spherical aberration Paraxial Focus Small distance inside paraxial focus Moderate distance from marginal focus Immediate neighborhood of marginal focus Fig...

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