Results 91 to 100 of about 737,253 (367)
On Logical Extension of Algebraic Division [PDF]
Basic arithmetic is the cornerstone of mathematics and computer sciences. In arithmetic, 'division by zero' is an undefined operation and any attempt at extending logic for algebraic division to incorporate division by zero has resulted in paradoxes and fallacies.
arxiv
Mathematically Modeling the Mechanics of Cell Division
The final stage of the cell cycle is cell division by cytokinesis, when the cell physically separates into two daughter cells. Improper timing or location of the division site results in incorrect segregation of chromosomes and thus genetically unstable aneuploid cells, which is associated with tumorigenesis.
openaire +3 more sources
This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle+2 more
wiley +1 more source
Damage segregation at fissioning may increase growth rates: A superprocess model
A fissioning organism may purge unrepairable damage by bequeathing it preferentially to one of its daughters. Using the mathematical formalism of superprocesses, we propose a flexible class of analytically tractable models that allow quite general ...
Abramowitz+68 more
core +5 more sources
Division in Associative $D$-Algebra [PDF]
From the symmetry between definitions of left and right divisors in associative $D$-algebra $A$, the possibility to define quotient as $A\otimes A$-number follows. In the paper, I considered division and division with remainder. I considered also definition of prime $A$-number.
arxiv
This study presents rapid evaluation methods for scan strategies in powder bed fusion (PBF) of polymers with a NIR laser as an example for its application. It uses line buffer‐based calculations and point density fields to predict the performance of four different scan strategies. The methods show promising results in laser‐based PBF of polymer samples,
Simon Leupold+9 more
wiley +1 more source
Simple Divisibility Rules for the 1st 1000 Prime Numbers [PDF]
Simple divisibility rules are given for the 1st 1000 prime numbers.
arxiv
This study aims to describe the PBL process through cooperative TPS learning so that it can improve the understanding of fourth-semester students of the IKIP Mataram Mathematics Education Department on integer division.
Ahmad Muzaki+2 more
doaj +1 more source
Low‐Velocity Penetration Impact Behavior of Triply Periodic Minimal Surface Strut‐Based Lattices
Triply periodic minimal surface (TPMS)‐based lattices are gaining attention for their multifunctional properties in applications as aeronautics and automotive, which involve low‐velocity impact loading. This work evaluates the low‐velocity penetration impact behavior of five distinct TPMS architectures.
Lucía Doyle+2 more
wiley +1 more source
The Eight Dimensional Quantum Hall Effect and the Octonions
We construct a generalization of the quantum Hall effect where particles move in an eight dimensional space under an SO(8) gauge field. The underlying mathematics of this particle liquid is that of the last normed division algebra, the octonions.
B. Grossman+5 more
core +1 more source