The diagram showing off-center nested spheres which is traditionally used to illustrate the Doppler effect, misleading and its trigonometric analysis leads errors concerning light, because electromagnetic aberration effects conform a wavefront surface that not sphere but an ellipsoid stretched along trajectory of source. Cartesian polar equations spherical ellipsoidal wavefronts are compared he...

Field surveys were carried out to assess the butterfly species diversity in different seasons Joggers Park, Lucknow, Uttar Pradesh, India 2021 using line transect method with aid of digital cameras and binoculars. Park is rich floral therefore, good habitat for butterflies. Altogether, 38 butterflies recorded which belonged 27 genera 6 families. Out total species, 58% common, 29% rare 13% most ...