The binary and ternary codes spanned by the rows of the point by block incidence matrices of some 2-designs and their complementary and orthogonal designs are studied. A new method is also introduced to study optimal codes.

suppose $g$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$f,$ $p=mn$ is a maximal parabolic subgroup of $g,$ $frak{n}$ is‎ ‎the lie algebra of the unipotent radical $n.$ under the adjoint‎ ‎action of its stabilizer in $m,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

purpose : granular cell tumors (gct) are benign unusual neoplasms which have been proven to have a schwann cell phenotype. they rarely occur in the eye region. case reports : we report three cases of gct in the ocular adnexa including palpebra, subconjuctiva and orbit which rarely occur. patients are, a young girl with the lesion in orbit and presentation of proptosis, a middle aged man with th...

During intense geomagnetic storms, the magnetopause can move in as far geosynchronous orbit, leaving satellites that orbit out magnetosheath. Spacecraft operators turn to numerical models predict response of solar wind conditions, but predictions are not always accurate. This study investigates four storms with a crossing by at least one GOES satellite, using magnetohydrodynamic NASA's Communit...