2-Amino-5-chloropyridinium cis-diaquadioxalatochromate(III) sesquihydrate

In the crystal structure of the title compound, (C5H6ClN2)[Cr(C2O4)2(H2O)2]·1.5H2O, the CrIII atom adopts a distorted octahedral geometry being coordinated by two O atoms of two cis water molecules and four O atoms from two chelating oxalate dianions. The cis-diaquadioxalatochromate(III) anions, 2-amino-5-chloropyridinium cations and uncoordinated water molecules are linked into a three-dimensional supramolecular array by O—H...O and N—H...O hydrogen-bonding interactions. One of the two independent lattice water molecules is situated on a twofold rotation axis.

The integral limit theorem in the first passage problem for sums of independent nonnegative lattice variables

The integral limit theorem as to the probability distribution of the random numberνmof summands in the sum∑k=1νmξkis proved. Here,ξ1,ξ2,…are some nonnegative, mutually independent, lattice random variables being equally distributed andνmis defined by the condition that the sum value exceeds at the first time the given levelm∈ℕwhen the number of terms is equal toνm.