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Unitarity triangle test of the extra factor of two in particle oscillation phases

2005
*
European Physical Journal C: Particles and Fields
*

We demonstrate that the unitarity

doi:10.1140/epjc/s2005-02203-4
fatcat:xfu6vao3cnfine3gqf3zpssev4
*triangle*(UT) fit*in*the Standard Model with three families is a suitable means to discriminate between the standard oscillation phase and the phase with an extra*factor*... There are claims*in*the literature that*in*neutrino oscillations and oscillations of neutral kaons and B-mesons the oscillation phase differs from the standard one by a*factor*of two. ... It is likely that*in*the future, with accumulated data used*in*the unitarity*triangle*fit, the exclusion of the extra*factor*of two will become even more significant. ...##
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Maximal sets of triangle-factors onv = 6m vertices

1998
*
Journal of combinatorial designs (Print)
*

A collection of edge-disjoint

doi:10.1002/(sici)1520-6610(1998)6:4<235::aid-jcd2>3.0.co;2-g
fatcat:i26tsh2uwfe3vnjszcx2qsjspq
*triangle*-*factors*on K 3n is called maximal if it cannot be extended by a further*triangle*-*factor*. ... It is well-known that a maximal set must therefore contain at least %*triangle**factors*. ...*triangle*-*factors*with the two*triangle*-*factors**in*the RRP (12, 9) ; this gives two*triangle*-*factors*on AU B. ...##
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Heronian Triangles

1929
*
The American mathematical monthly
*

This paper presents some theorems regarding

doi:10.1080/00029890.1929.11986902
fatcat:hnbj5gzoknh7tjwb3sravgx7oq
*factors*of the sides and area of Heronian*triangles*.*2*. Rational*triangles*.*In*the July, 1921, issue of this Monthly, Professor L. E. ... Any*factor*common to two v's is prime to all the d’s and n’s. Now since every d and 1 is 1 or greater, the minimum value of d?+n? is*2*. (*In*this case only, our Heronian*triangle*is a right*triangle*.) ...##
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Theorem on a Matrix of Right-Angled Triangles

2013
*
Applied and Computational Mathematics
*

even number and have no common

doi:10.11648/j.acm.20130202.14
fatcat:fp2fg6oiwffn7dq5qdfci4j2y4
*factor*. ... The sides of every positive integer right angled*triangle*are then defined by the indices as follows: For hypotenuse h, uneven leg u and even leg e, h = i*2*+ ij + j*2*/*2*, e = ij + j*2*/*2*, u = i*2*+ ij ... Likewise, the*triangles**in*a horizontal row, having index j*in*common, have their even sides e increase by a*factor*of 2j*in*the*triangle*sequence from left to right. ...##
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Semi-uniform, 2-Different Tessellation of Triangular Parametric Surfaces
[chapter]

2010
*
Lecture Notes in Computer Science
*

The

doi:10.1007/978-3-642-17289-2_6
fatcat:goqkwpeijrgtbcb3j3s5jjs46e
*factors*are then used to steer the tessellation of the parametric surface into a collection of*triangle*strips*in*a single pass. ...*In*this paper, we present SD-*2*(Semi-uniform,*2*-Different), an adaptive tessellation algorithm for triangular parametric surfaces. ... Adaptive Tessellation Pattern with*2*-Different*Factors**In*case of*triangles*with only two different edge tessellation*factors*f u = f v and f w , it is possible to tessellate*in*an especially simple way ...##
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Triangle-factors in a balanced blown-up triangle

2000
*
Discrete Mathematics
*

Let G be a 3-partite graph with 3n vertices, n

doi:10.1016/s0012-365x(99)00324-6
fatcat:agcttks3zzehro3onnsbpbuzbe
*in*each class, such that each vertex is connected to at least*2*3 n + √ n of the vertices*in*each of the other two classes. ...*In*this paper it will be proved that G contains n vertex-disjoint*triangles*, it will also be shown by example that this is close to being sharp. ... Therefore some*triangle*T = T i*in*F must satisfy |E(P; T )|¿4l +*2*. ...##
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Page 27 of The American Mathematical Monthly Vol. 36, Issue 1
[page]

1929
*
The American Mathematical Monthly
*

Probably the easiest way to make a list of Heronian

*triangles*is to develop the method suggested*in*paragraph*2*. ... This keeps the point P of paragraph*2**in*the shaded area of the loop*in*the diagram. ...##
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Simple models of the impact of overlap in bucket rendering

1998
*
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware - HWWS '98
*

If

doi:10.1145/285305.285318
fatcat:6hvycfue2zg6zcbhnhzyri7jey
*triangles*are small, the overlap*factor*itself is also small. If*triangles*are large, overlap is high but pixel work dominates the rendering time. ... The drawbacks of this technique are the cost of computing the regions overlapped by each*triangle*and the redundant work required*in*processing*triangles*multiple times when they overlap multiple regions ... Head Cylhead Studio Flight Quake APPENDIX Worst-Case Overlap*Factor*The expected number of tiles overlapped by two*triangles*of total bounding-box area 2B is:*2**2**2* + + ...##
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Ascending subgraph decompositions of oriented graphs that factor into triangles

2020
*
Discussiones Mathematicae Graph Theory
*

*In*this paper, we will show that all orientations of an oriented graph that can be

*factored*into

*triangles*with a large portion of the

*triangles*being transitive have an ASD. ... We will also use the result to obtain an ASD for any orientation of complete multipartite graphs with 3n partite classes each containing

*2*vertices (a K(

*2*: 3n)) or 4 vertices (a K(4 : 3n)). ... Acknowledgments The research for this paper was funded

*in*part by the Bill and Roberta Blankenship Undergraduate Research Endowment. ...

##
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Packing 3-Vertex Paths in Claw-Free Graphs
[article]

2007
*
arXiv
*
pre-print

is not a claw and not a

arXiv:0711.3871v1
fatcat:gcyai76ty5ci7p3yqyr7jja2hm
*triangle*. ... Then (c1) if v(G) = 0 mod 3, then G has an L-*factor*containing (avoiding) e, (c2) if v(G) = 1 mod 3, then G - x has a L-*factor*, (c3) if v(G) =*2*mod 3, then G - x -y has an L-*factor*, (c4) if v(G) = 0 mod ... Moreover, (a1) if L induces a*triangle**in*G, then G has a Λ-*factor*R containing L and such that each component of R induces a*triangle*(a2) if L does not induce a*triangle**in*G, then G has a Λ-*factor*R ...##
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A simple and effective element distortion factor

2000
*
Computers & structures
*

Lo [1] also defined a distortion coefficient β

doi:10.1016/s0045-7949(99)00105-4
fatcat:7u5fzkyxcfafvovnmgwrnuzgm4
*in*the form of equation (*2*) , for quadrilaterals based on the triangular coefficient α. ... A given quadrilateral ABCD is cut along the two diagonals AC and BD into four*triangles*, and their corresponding α i are calculated. ... Figure*2*.*2*Distortion*factors*for typical (a)*triangles*and (b) quadrilaterals Figure*2*(*2*a) shows some typical*triangles*with the new distortion*factors*computed and compared with Lo's α*factors*...##
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Efficient computation of marginal reliability-importance for reducible/sup +/ networks

2001
*
IEEE Transactions on Reliability
*

*In*phase

*2*, the

*2*-P algorithm backtracks the reduction steps and computes MRI, based on the reduction

*factors*generated

*in*phase 1 and a set of closed-form TR formulas. ...

*In*each reduction step, the

*2*-P algorithm generates the correlation, quantified by a reduction

*factor*, between the original network and the reduced network. ... The new success probabilities are recomputed, as shown

*in*Fig.

*2*. , because of a transformation

*factor*of 1

*in*this step. ...

##
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Empirical Analysis of Claims Development Trapezoids following Benford's Law

2018
*
Financial Statistical Journal
*

*In*particular we determine Benfors's law fordifferent characteristic

*factors*depending on claims development

*triangles*/trapezoids.These characteristic

*factors*are the cumulative claims payments, the incrementalclaims ...

*In*this paper we make an empirical analysis of a wide range of claims developmenttrapezoids following Benford's law. ... The characteristic

*factors*, namely the cumulative and incremental claims payments and the individual development

*factors*are also introduced

*in*Section

*2*. ...

##
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Note on the Steiner Point

1908
*
The American mathematical monthly
*

only

doi:10.2307/2969819
fatcat:u6lyrmuxtbdufgmykwjrlsplyi
*in*(*2*. 2b and 3b, where b is any prime of form 24z+5 and 24z+11, can be resolved into complex*factors**in*only one way since*2*and 3 have no complex*factors**in*? ... complex*factors**in*only one way and 27, 3%, or 2y 31 have no complex*factors**in*the domain. ...##
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A derivation of an affine plane of order 4 from a triangle-free 3-colored K16

2001
*
Discrete Mathematics
*

*In*this paper a new relationship is given through the derivation of AG(2,4), the a ne plane of order 4, from the 3-colored,

*triangle*-free K16 constructed by Greenwood and Gleason

*in*the proof that the ...

*In*the derivation each line of this a ne plane is deÿned by a set of 4 vertices of the K16, which are mutually connected by edges of three colors so that each color deÿnes one of three 1-

*factor*of that ... If two vertices are

*in*one 1-

*factored*K 4 and the third

*in*a second K 4 , Fig.

*2*shows that no monochromatic

*triangle*exists. ...

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