The third version, which was written using inlined assembly, took much more time to write – about an hour or two. In addition, this version is not fully optimized – the optimized functions are just placed end to end, without cross procedural optimizations. The first two versions are quite...
Then, we introduce Univec, our C++ library designed to make scalar, vector, and matrix operations using units of measurement. Moreover, Univec supports dimensional-aware operations for complex numbers, quaternions, octonions, and sedenions. We provide tables of the relevant functions and operators ...
Structures visible by light microscopy and, in addition to the basal lamina, that consist of layers that are typically secreted by cells from underlying connective tissue. Many basement membranes are rich in fibronectin. Basal lamina A molecularly defined part of the basement membrane comprising an ...
In addition, a collection of functions are provided for drawing vector diagrams in 2D and 3D, illustrating various concepts of linear algebra more concretely than has been available before. For example,showEqn(A, b) shows the matrix equations A x = b in text or LaTeX form, while plotEqn(...
In addition to reducing the mechanical properties of composite materials, it also leads to other types of damage that can prove fatal to the structure/component—namely localized clustering of fiber fractures and/or delamination. The precursor to matrix cracking is fiber–matrix debonding in off-...
I implemented few .m functions which allow to reorder a sparse matrix read from aMatrix Marketfile using either theReverse Cuthill-McKee (RCM)orNested Dissection (ND)algorithms. In addition to reordering, it is possible to write the reordered sparse matrix and the permutation vector to a Matrix...
Complete ECM protein solubilization requires reagents in concentrations that are incompatible with mass spectrometry. In addition, a fraction of the extracellular matrix is resistant to solubilizing agents (such as SDS or urea) and would be lost if only solubilized material were carried forward. Therefo...
One of the drawbacks to this method is the result of an unpredictable and unpleasant folding effect when limbs are rotated too far about a joint, such as when the lower leg bends completely in at the knee. In addition to this, it is difficu...
Ascension Offset: Using the value of the bad root Sr=(1,1,1) and the value of cut children SX−1=(4,2,0), the ascension offset is calculated as (Δ0,Δ1,Δ2)=(3,0,0). Ascension Matrix: The Ascension Matrix has the value 1 if the corresponding entry in S has the bad root...
per-matrix scaling factors for A, B, C, and D matrices in addition to the traditional alpha and beta absolute maximum computations for output matrices Figure 2. Diagram of a common GEMM in transformers with an epilogue, scaling factors, and multiple outputs supported by the cuBLASLt API ...