The Cholesky decomposition of a Hermitian positive-definite matrix A is a decomposition of the form. where L is a lower triangular matrix with real and positive diagonal entries, and L * denotes the conjugate transpose of L.hen A has real entries, L has real entries as well and the factorization may be written A = LLT. The Cholesky decomposition is unique when A is positive definite; there is only one lower triangular matrix L with strictly positive diagonal entries such that A = LL *.
A chagoma is an inflammatory nodule at the bite site of the reduviid bug which transmits Chagas disease, not to be confused with Romana's sign which is periorbital soft tissue and lymphoid swelling which occurs when the T. cruzi protozoan that causes Chagas disease enters through the conjunctiva.
chasm A chasm is a deep divide, either literal or figurative, such as a giant chasm in an ice cap or the growing chasm between two friends who haven't spoken in a long time. The first syllable in chasm sounds like cat without the t sound: CA-zum. It comes from the Greek word khasma, meaning yawning hollow, gulf and was originally used to describe a split in a land formation, such as a deep crack caused by an earthquake. The word still retains that sense, but today can also mean a profound division between people or beliefs, such as a chasm between Republicans and Democrats.