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Regular Totally Separable Sphere Packings arXiv 100%

Regular Totally Separable Sphere Packings arXiv:submit/1273446 [math.MG] 6 Jun 2015 Samuel Reid∗ June 6, 2015 Abstract The topic of totally separable sphere packings is surveyed with a focus on regular constructions, uniform tilings, and contact number problems.


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Copy of DIMBasketball-Color 99%

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BaseballLeagueHistory 93%

League of Greatness​  ©     Official History, 2006 ­ present     Hall of Champions    2014 ­ Rob (Red Claws)  2013 ­ Rob (Red Claws)  2012 ­ Drew (The Dynasty)   2011 ­ Roger (The Luxury Vottomobiles)   2010 ­ Drew (Barry and The Bidens)  2009 ­ Drew (Wild Wangs)    ­­ ESPN League, but the league page is not archived and stats have been lost ­­  2008 ­ Drew (Barack 'n Roll)   2007 ­ Beast (Bruce Springsteen related team name)    ­­ Yahoo Era ­­  2006 ­ Evan Katz      Most 'ships    4 ­ Drew  2 ­ Rob  1 ­ Roger  1 ­ Beast  1 ­ Evan Katz (retired)      Playoff Appearances since 2009 (excluding 2006 ­ 2008, sorry):    6 ­ Drew  5 ­ Roger  4 ­ Rob  2 ­ Mike A.  2 ­ Beast, Jeff, Joe B.  1 ­ Nick          Best regular season record (since 09)​ : 17­4, Barry and The Bidens, 2010, (before league  was cut from 21 to 20 weeks from)    Worst regular season record (since 09)​ : 3­18, Team Mazza, 2010        All Time Winning Percentage in regular season (since 2009):    .754 ­ Drew Angerer (89­27­6)  .633 ­ Mike Athmer (37­21­2)  .603 ­ Rob Athmer (71­46­5)  .595 ­ Roger Athmer (69­46­7)  .549 ­ Jeff Fitzwater (62­50­10)  .529 ­ Beast Dressel (62­55­5)  .521 ­ Joe Burton (59­54­9)  .369 ­ Nick Brammer (42­74­6)  .369 ­ Justin Miller (26­47­7)   .338 ­ Andrew Kolpitcke (13­26­1)  .333 ­ Chad Gregory (13­27­2)  .310 ­ Tom Mazza (13­29)  .300 ­ Mike Green (6­14)  .226 ­ Blaine Stamper (8­31­3)  .213 ­ Eugene Farrell (7­30­3)        Best regular season record (since 09)​ : 17­4, Barry and The Bidens, 2010, (before league  was cut from 21 to 20 weeks from)    Worst regular season record (since 09)​ : 3­18, Team Mazza, 2010      Most HR by a team in the regular season (since 09):      1. Petworth Rough Riders (Rob), 13­6­1, 2012 ­ 279 HR    M. Cabrera (44), Granderson (43), E. Encarnacion (42), A. McCutcheon (31)    2. Fightin' Baby Manginos (Fitzwater), 12­7­2,  2009 ­  250 HR  A. Pujols (47), A. Dunn (38), D. Lee (35), K. Morales (34), E. Longoria (33), I. Kinsler (31)    3a. No team had over 200 HR in 2014, the first time that has ever happened.   3b. Wish we still had the Yahoo! stats from 06­08 ­ there would be some outrageous totals      Most Pitching K by a team in a season (since 09):    1. (21 weeks) Barry’s Brotherhood (Drew), 15­3­2, 2011 ­ 2116 K  J. Verlander (250), J. Shields (225), Y. Gallardo (207)    2. (21 weeks) Luxury Vottomobiles (Roger), 13­6­1, 2011 ­ 2093 K  C. Sabathia (230), M. Garza (197), M. Bumgarner (191)    3. (20 weeks) Mr. Monapoli (Roger), 13­6­1, 2012 ­ 1879 K  D. Price (205), C. Sabathia (197), M. Moore (175)    4. (20 weeks) The Dynasty (Drew), 15­5, 2012 ­ 1828 K  J. Verlander (239), E. Jackson (168), J. Johnson (165)    5. (20 weeks) The Great Americans (Roger), 11­6­3, 2013 ­ 1796 K  J. Samardzija (214), M. Bumgarner (199), D. Holland (189)        Highest regular season team OPS (since 09):    1. Fightin’ Baby Manginos (Fitzwater), 12­7­2, 2009 ­ .881 OPS ​ (A. Pujols, 1.101)  2. Petworth Rough Riders (Rob), 13­6­1, 2012 ­ .851 ​ (M. Cabrera, .999)  3. Mr. Burn’s All Stars (B. Stamper), 3­17­1, 2010 ­ .843 ​ (J. Werth, .921)  4. I Picked Up Mike Trout (Joe B), 11­6­3, 2013 ­ .838 ​ (M. Trout, .988)        Lowest regular season team OPS (since 09):    1. Grab Some Cole and Burnett (Eugene Farrell), 3­16­1, 2014 ­ .718 OPS ​ (D. Jeter, .617)    2. Hangin’ Onto My Dickey (Eugene Farrell), 4­12­2, 2013 ­ .737 OPS ​ (S. Castro, .631)    3. Dayton Flyers (Mike A.), 12­7­1, 2014 ­  .756 OPS ​ (C.Davis, .704)    4. Halladay Inn (Chad Gregory), 8­12­1, 2010 ­ .757 OPS​  (S. Sizemore, .631)          Best Team ERA in a season (since 09):  1. Dayton Flyers (Mike A.), 12­7­1, 2014 ­ 3.04 ERA  F. Hernandez (2.14), J. Cueto (2.25), A. Wainwright (2.38)    2. Phillips Head Screwdriver (Mike A.), 12­8, 2013 ­ 3.24 ERA  J. Fernandez (2.19), A. Sanchez (2.57), A. Wainwright (2.94)    3. Brammer’s Hammers (Nick), 7­13, 2014 ­ 3.32 ERA  Z. Greinke (2.71), J. Samardizja (2.99)    4. East Lawn Movers (Justin), 7­10­3, 2013 ­ 3.33 ERA  Y. Darvish (2.83), T. Cingrani (2.92)      Highest team ERA in a season (since 09):    1. Pittsburgh Seventeens (Rob), 7­12­2, 2009 ­ 4.43  R. Nolasco (5.06), D. Price (4.42), R. Romero (4.30)    2. Mr. Burns’ All Stars (Blaine Stamper), 5­14­2, 2009 ­ 4.26  Matt Lindstrom (5.89), E. Santana (5.03), B. Penny (4.88)    3. Pawtucket Patriots (Nick), 11­9, 2011­ 4.10  M. Scherzer (4.43), C. Lewis (4.40), J. Niese (4.40)        Most team Stolen Bases in a season (since 09) (all of the top 3 were in 20 week  seasons):  1. Bourn in the USA (Beast), 11­9, 2011 ­ 186 SB  M. Bourn (61), D. Stubbs (40), E. Andrus (37)    2. Woodridge Red Claws (Rob), 13­7, 2014 ­ 167 SB  J. Altuve (56), J. Reyes (30), S. Marte (30)    3. Hasta Batista Baby (Beast), 9­10­1 2012 ­ 162 SB  M. Bourn (42), A. Escobar (35), D. Pedroia (20)              Highest team Batting Average for a season (since 09):    1. Wild Wangs (Drew), 16­4­1, 2009 ­ .295 AVG  J. Mauer (.365), D. Jeter (.334), J. Upton (.300), C. Lee (.300)    2. Mr. Burns All Stars (Blaine Stamper, retired), 3­17­1, 2010 ­ .294 AVG  A. Beltre (.321), B. Butler (.318), V. Guerrero (.300), H. Ramirez (.300)    3. A Choo Walks into Aybar (Nick), 3­13­4, 2013 ­ .291 AVG  Y. Molina (.319), A. Beltre (.315), T. Tulowitzki (.312), J. Donaldson (.301)          Lowest team Batting Average for a season (since 09):    1. Texas Leaguers (Jeff), 10­8­2, 2014 ­ .261 AVG  G. Springer (.231), J. Kipnis (.240), B. Dozier (.242)    2. Hakuna Machado (Joe B.), 10­8­2, 2014 ­ .263 AVG  J. Bruce (.217), C. Santana (.231), J. Segura (.246)    3. East Lawn Movers (Justin), 7­10­3, 2013 ­ .263 AVG  P. Alvarez (.233), Y. Cespedis (.240), A. Cabrera (.242),     4. Stateline Sluggers (Drew), 13­6­1, 2014 ­ .263 AVG  L. Valbuena (.249), J. Peralta (.263), D. Ortiz (.263)            Other participants remembered and eulogized from pre 2009 leagues that were not  archived:    ­ Evan Katz (2006 Yahoo champion and now a electrical/manufacturing engineer in the  Cleveland Area)    ­ Terrance O’Donovan (famously remembered for trading away Ryan Howard for Brandon  Phillips in 2006, now practicing law somewhere in the greater Pittsburg area I think)


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quizsample (1) 93%

Give the formal definition of a regular expression.


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Number, Möbius Strip, Mode, Model, Modified Boxplot, Modular Arithmetic, Modular Equivalence, Modular Equivalence Rules, Modular Numbers, Modulo n, Modulus of a Complex Number, Modus Ponens, Modus Tolens, Moment, Monomial, Mu (Μ μ), Multiplication Rule, Multiplicative Inverse of a Matrix, Multiplicative Inverse of a Number, Multiplicative Property of Equality, Multiplicity, Multivariable, Multivariable Analysis, Multivariable Calculus, Multivariate, Mutually Exclusive, MVT, n-Dimensional, n Dimensions, Natural Domain, Natural Logarithm, Natural Numbers, Negative Direction, Negative Exponents, Negative Number, Negative Reciprocal, Negatively Associated Data, Neighborhood, Newton's Method, n-gon, No Slope, Non-Adjacent, Nonagon, Noncollinear, Non-Convex, Non-Euclidean Geometry, Noninvertible Matrix, Nonnegative, Nonnegative Integers, Non-Overlapping Sets, Nonreal numbers, Nonsingular Matrix, Nontrivial, Nonzero, Norm of a Partition, Norm of a Vector, Normal, Normalizing a Vector, nth Degree Taylor Polynomial, nth Derivative, nth Partial Sum, nth Root, nth Root Rules, n-tuple, Nu (Ν ν), Null Set, Number Line, Numerator, Oblate Spheroid, Oblique, Oblique Asymptote, Oblique Cone, Oblique Cylinder, Oblique Prism, Oblique Pyramid, Obtuse Angle, Obtuse Triangle, Octagon, Octahedron, Octants, Odd/Even Identities, Odd Function, Odd Number, Odds, Odds Against, Odds in Favor, Odds in Gambling, Omega (Ω ω), Omicron (Ο ο), One Dimension, One-Sided Limit, One-to-One Function, Open Interval, Operations on Functions, Opposite Reciprocal, Order of a Differential Equation, Ordered Pair, Ordered Triple, Ordinal Numbers, Ordinary Differential Equation, Ordinate, Origin, Orthocenter, Orthogonal, Outcome, Outlier, Oval, Overdetermined System of Equations, p-series, Paired Data, Pappus’s Theorem, Parabola, Parallel Cross Sections, Parallel Lines, Parallel Planes, Parallel Postulate, Parallelepiped, Parallelogram, Parameter (algebra), Parametric Derivative Formulas, Parametric Equations, 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