Study of Isomorphism Between Lattice Groups And Fuzzy Groups by Jameel Mohammad

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Study of Isomorphism Between Lattice Groups And Fuzzy Groups by جميل محمد

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Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group by Mohammad, Siti Afiqah, Sarmin, Nor Haniza, Mat Hassim, Hazzirah Izzati

“…An extension of a free abelian lattice group by finite group is a torsion free crystallographic group. …”
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Novel 3D printed lattice structure titanium cages evaluated in an ovine model of interbody fusion by James W. Johnson, Ben Gadomski, Kevin Labus, Holly Stewart, Brad Nelson, Howie Seim III, Dan Regan, Devin vonStade, Cambre Kelly, Phillip Horne, Ken Gall, Jeremiah Easley

“…These data revealed similar results in both groups, with the exception of bone‐in‐contact analysis, which revealed significantly improved bone‐in‐contact values in the body lattice group compared to the surface lattice group. …”
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The exterior square of a Bieberbach group with quaternion point group of order eight by Mohammad, S. A., Sarmin, N. H., Mat Hassim, H. I.

“…A Bieberbach group is defined to be a torsion free crystallographic group which is an extension of a free abelian lattice group by a finite point group. This paper aims to determine a mathematical representation of a Bieberbach group with quaternion point group of order eight. …”
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The schur multipliers of certain bieberbach groups with abelian point groups by Mat Hassim, Hazzirah Izzati, Sarmin, Nor Haniza, Mohd. Ali, Nor Muhainiah, Masri, Rohaidah, Mohd. Idrus, Nor'ashiqin

“…Here, L is known as the lattice group while P is the point group of the Bieberbach group.…”

On the abelianization of a torsion free crystallographic group by Mohd. Idrus, Nor'ashiqin, Sarmin, Nor Haniza, Mat Hassim, Hazzirah Izzati, Masri, Rohaidah

“…It is an extension of a lattice group by a finite point group. The study of n-dimensional crystallographic group had been done by many researchers over a hundred years ago. …”
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Role of the strange quark in the ρ(770) meson by Molina R., Guo D., Hu B., Alexandru A., Doering M.

“…Recently, the GWU lattice group has evaluated high-precision phase-shift data for ππ scattering in the I = 1, J = 1 channel. …”
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Bieberbach groups with finite point groups by Mohd. Idrus, Nor'ashiqin

“…It is an extension of a lattice group, which is a maximal normal free abelian group of �nite rank, by a �nite point group. …”
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Covering Graphs, Magnetic Spectral Gaps and Applications to Polymers and Nanoribbons by John Stewart Fabila-Carrasco, Fernando Lledó

“…In this article, we analyze the spectrum of discrete magnetic Laplacians (DML) on an infinite covering graph <inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi mathvariant="bold">G</mi> <mo>&#732;</mo> </mover> <mo>&#8594;</mo> <mi mathvariant="bold">G</mi> <mo>=</mo> <mover accent="true"> <mi mathvariant="bold">G</mi> <mo>&#732;</mo> </mover> <mo>/</mo> <mo>&#915;</mo> </mrow> </semantics> </math> </inline-formula> with (Abelian) lattice group <inline-formula> <math display="inline"> <semantics> <mo>&#915;</mo> </semantics> </math> </inline-formula> and periodic magnetic potential <inline-formula> <math display="inline"> <semantics> <mover accent="true"> <mi>&#946;</mi> <mo>&#732;</mo> </mover> </semantics> </math> </inline-formula>. …”
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Reducing the prosthesis modulus by inclusion of an open space lattice improves osteogenic response in a sheep model of extraarticular defect by Reza Sanaei, Charles Neil Pagel, Babatunde A. Ayodele, Bill Lozanovski, Thierry Beths, Martin Leary, Darpan Shidid, Endri Kastrati, Endri Kastrati, Joe Elambasseril, Ulrich Bühner, Tom Williamson, Tom Williamson, Stewart Ryan, Milan Brandt

“…In the interfacial and interstitial regions, most pronounced differences were observed in the axial interfacial perimeter where the solid implant group had greater bone coverage. In contrast, the lattice group had a greater coverage in the cranial interfacial region.Conclusion: Our findings suggest that reducing the prosthesis modulus by inclusion of an open-space lattice in its design has a positive effect on bone material and morphological parameters particularly within the periprosthetic regions. …”
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Updates on extraction of |V cb | and SM prediction of R(D*) in B → D*ℓν ℓ decays by Sneha Jaiswal, Soumitra Nandi, Sunando Kumar Patra

“…To see the trend of SM predictions, we have used the recently published preliminary results on the form-factors at non-zero recoil by the lattice groups like Fermilab-MILC and JLQCD and predicted the observables in B → D ∗ℓν ℓ, and B → D * τντ decays.…”
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