Since male chimpanzees copulate with females throughout their entire estrous phase, the analysis presented here includes copulations that females had both during their maximal swelling period and partial swelling periods [15].
As such, we hypothesize that the proteasome complex operates at near maximal capacity in myeloma and partial inhibition of this complex is cytotoxic to myeloma cells.
Because the rank of matrix is an integer between 0 and the minimal of row and column numbers of the matrix, maximal and minimal ranks of partial matrix or matrix expressions must exist with respect to their variant entries or variant matrices.
Next, we will determine the maximal and minimal ranks of the partial matrix ( A B M ( 1 ) C D N ( 1 ) G ). with respect to M 1) ∈ M{1} and N(1) ∈ N{1}, by applying the results in Section 2. It is quite obvious that the partial matrix (A BM 1)C DN(1 G) may be written as ( A B M ( 1 ) C D N ( 1 ) G ) = ( A O O ) + B M ( 1 ) ( O C O ) + D N ( 1 ) ( O O G ). (39).
Differential forms, the Green's operator, and maximal operators are widely used not only in analysis and partial differential equations, but also in physics; see [2 4, 6 9].
In contrast to the wholesale 'anaphylactic' degranulation that characterizes maximal IgE-mediated stimulation, bacteria can trigger a gradual and partial (so-called 'piecemeal') degranulation proportional to the stimulus [ 19, 26].
Fractional maximal and fractional integral operators are two important operators in harmonic analysis and partial differential equations.
Maximal operators play an important role in the differentiability properties of functions, singular integrals and partial differential equations.
Detailed maximal ranges and subranges of the involved regions are listed in Table 2. Of note, entire and partial loss of 1p was found in all cases, including three cases with partial telomeric 1p loss (CH14, CH39, P937) and three cases with partial centromeric 1p loss (CH7, CH30, P554).
The maximal function is a classical tool in harmonic analysis but recently it has been successfully used in studying Sobolev functions and partial differential equations.
