81,665 research outputs found
Benefits of a population: five mechanisms that advantage population-based algorithms
No full textThis paper identifies five distinct mechanisms by which a population-based algorithm might have an advantage over a solo-search algorithm in classical optimization. These mechanisms are illustrated through a number of toy problems. Simulations are presented comparing different search algorithms on these problems. The plausibility of these mechanisms occurring in classical optimization problems is discussed. The first mechanism we consider relies on putting together building blocks from different solutions. This is extended to include problems containing critical variables. The second mechanism is the result of focusing of the search caused by crossover. Also discussed in this context is strong focusing produced by averaging many solutions. The next mechanism to be examined is the ability of a population to act as a low-pass filter of the landscape, ignoring local distractions. The fourth mechanism is a population's ability to search different parts of the fitness landscape, thus hedging against bad luck in the initial position or the decisions it makes. The final mechanism is the opportunity of learning useful parameter values to balance exploration against exploitation
Bennett Family History
No full textThis 50-page typed manuscript is a history of the Bennett family written by Della Bennett Dillard. The history was collected as part of the Cataloochee History Project that collected photographs, stories, and oral histories about families who lived in the Cataloochee Valley. Today’s Cataloochee Valley is within the Great Smoky Mountains National Park. While, in general, the Great Smoky Mountains region was sparsely populated, the Cataloochee Valley remained an exception. By 1900, the population of Cataloochee had grown to 1,000 residents living in hundreds of log and frame homes.I
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A BENNEIT FAMILY HISTORY
Compiled
by
Della Bennett Dillard
Edited and Printed
by
David George Dillard
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I FORWARD AND ACKNOWLEDGMENTS
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I would like to thank all those family members who contributed
information to this project. You were most helpful as the principal source of
material compiled here.
Some information was obtained from records on microfilm at the North
Carolina Archives and History building, Raleigh, North Carolina. Additional
information was obtained from records at the Haywood County Courthouse in
Waynesville, North Carolina.
I accept responsibility for any errors in this document and would appreciate
your writing to let me know of any you find.
I would especially like to thank my son David for his many hours of work
in getting all this information into computer files and for printing the completed
book.
Della Edna Bennett Dillard
September 1, 1991
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ORIGIN OF THE BENNETT NAME
The surname Bennett means "son of Benet," the latter being a personal
name derived through old French Beneit from the Latin Benedictus ("blessed").
It was a common Christian name from the twelfth century. At one time everyone
was known by a single name, but this led to confusion, so an extra name was
adopted. Thus, a man named John whose father was Benet' might be known as
John (son of) Benet', with the additional name eventually becoming hereditary as
a surname.
Early records mention Robert Beneyt, who appears in a Lincolnshire
charter in the second half of the 12th century; and Robert Benyt, in
Cambridgeshire Subsidy Rolls in 1327. Robert Bennet 1605 - 1684 was a
Parliamentarian Colonel during the English Civil war and was appointed a
member of the Council of State in 1653. Edward Bennett 1797 - 1836
promoted the establishment of the Entomological Society in 1832, which
ultimately developed into the London Zoological Society. Among early
emigrants from England to America was the Reverend William Benitett, who
arrived in Jamestown in 1626. James Bennett 1800- 1872 came to America. in
1819 and worked on the staff of several newspapers, founding the New York
Herald in 1835. He subsidized Stanley's expedition to find Livingston in 1871.
The arms illustrated are described heraldically as: Gules, a bezant between
three demi lions rampart argent; Crest: out of a mural crown or a lion's head
gules on the neck a bezant or: e. for motto: De bon vouloir servile roi. Writers
in the past have attributed symbolism to the tincures and changes of heraldrythus,
or (gold) is said to denote Generosity; argent (silver) Humility; and gules
(red) Magnanimity; the lion signifies the motto may be translated "to serve the
king with goodwill."
The above information was provided by Linda Bennett Barnes, who found
it printed on a plaque in a shop in California.
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CATALOOCHE SEffiEMENTS
1835-1940
HAYWOOD COUNTY: N.C.
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Chapter 1
YOUNG BENNETT 3/CJ )t81Z ~~·tt.
l(/Jij 11q4 Ncu~txd Cv itJG
/ The earliest record of a Bennett ancestor in Haywood County, North Carolina is of
V, oung Bennett, who was born in Georgia. He married E~ira Meece 10 March 1832.with
bondsman and witness: John Alexander and Robert Love. Their children[!]: - ~-,1 9jt/l ~I\ -li(;l.'W j (ott I boi-&. lh na·WUJ
Jasper Newton Bennett; 25 December 1832- 2 iuly 1908 (GHC)[2] e~-~ I (\f.:/
Archable Bennett; \~}'5 ·- I
J:Creighton M. Bennett; \ B~'1
Washington G. Bennett; llMay 1839- 8 January 1919 (GHC)
Sylvendia C. Bennett;
Saphrona E. Bennett;
Young A. Bennett;
Manson Turner Bennett;
Polly L.(?) Bennett;
Henry P. Bennett; ,
Hardy Bennett; , . 1 1. · "t P...e ;VYYI~a_ ( ~1ASf
·-Hv fi-e~ .0 {( ~~ ~ +o N<.L!l~ u (j
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[1] See Appendix A for U.S. Census information on this family.
[2] Cemeteries are listed as three-letter abbreviations. See Appenclix B for expansions.
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CRATON M. BENNETT
Chapter 1
Craton (Creighton) M. Bennett married Louisa Matilda Caldwell3 June 1856.
They were married by W.P. Gillett, J.P., with William E. Srmth as bondsman and witness.
Matilda was born 12 August 1837 and died 17 March 1896. Creighton and Matilda's
children[ 1]:
VWilliam J. Bennett; 10 May 1857- 15 June 1899 (LCC)
George Bennett; 1859
Andrew Bennett; 1865
[1] See Census infonnation in Appendix A.
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WILLIAM J. BENNETT · {'1A./V .. L c,J cct )'- C C
Chapter 1
William J. Bennett married Martha Laur_3 White 7 January 1880 at the residence
of her parents, J.M. White and Sarah (Nelson }White, in Haywood County, North
Carolina. Martha Laura White was born 6 November 1863 and died 31 August 1946. She
is buried in the Liberty Baptist Church Cemetery in Haywood County, North Carolina.
Their children: ~om in Catalo_Q£!tee Township of Haywood County, North Carolina) ---- -- -- --,-
James Ruben Bennett; 9 February 1881 -7 December 1917,
Santiago, Chile
George Western Bennett; 21 September 1882- 17 September 1957,
Clayton, Georgia (WBC) . ~
vlkobert Humphrey Bennett; 5 September 1884- 12 June 1971, ~~e-.,)
Macon County, North Carolina - I O
Marie Alice Bennett; 7 January 1887- 24 January 1957, Macon
County, North Carolina
William Bartley Bennett; 6 March 1889 - 2 October 1951 , Macon
CoiiiitY:North Carolina
Mack Eldridge Bennett; 13 April 1891 - 17 June 1970, Macon
County, North Carolina
/. . -t- Hardy Young Valentine (James) Bennett; 17 March 1893- 1
\,_(' / - " October 1977, Franklin, North Carolina
Doctor Milas Grady Bennett; 6 April 1895 -
Lawrence A. Bennett; 1 May 1897- 14 January 1898, Cataloochee,
Haywood County, North Carolina (LCC)
Carmel L. Bennett; 26 January 1899- 26 December 1899,
Cataloochee, Haywood County, North Carolina (LCC)
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George Western Bennett
Chapter 1
George Western Bennett married Mary Rebecca Coggins 28 July 1907 in
Haywood County, North Carolina. Mary was the daughter of David Coggins and Millie
(Valentine) Coggins. Mary was born 10 December 1883 near Cosby, Tennessee and died
at Clayton, Georgia 15 November 1963. George and Mary are buried in the Wolffork
Baptist Church Cemetery, Rabun Gap, Georgia. Their children were all born in the Little
Cataloochee Valley of Haywood County, North Carolina. These were:
Myrtle Laura Bennett; 30 Apri11908- 24 September 1980,
Baldwin, Georgia
William Horace Bennett; 22 July 1909- 7 May 1986, Clayton,
Georgia (RMP)
Robert Hilliard "B()b" Bennett; 9 January 1911 -
Zola Marie Bennett; 24 April 1913 - 23 September 1927, Little
Cataloochee, North Carolina (LCC)
Maud Elizabeth Bennett; 9 January 1916-
Vera Vianna "Pete" Bennett; 23 September 1917 -
Della Edna Bennett; 5 May 1919-
Forrest Jarvis Bennett; 15 Apri11921 -2 November 1988 at home,
Mountain City, Georgia (RMP)
Fred Marion Bennett; 4 July 1923- 11 November 1980, Longview,
Washington (LMP)
While living at Little Cataloochee George Bennett was a rural mail carrier and a
deputy sheriff in addition to running his farm. He had a large apple orchard and raised beef
cattle. In 1930 he moved his family to Rabun Gap, Georgia where they lived on the Rabun
Gap Nachoochee Farm for five years. Here he farmed and also helped with the "boarding"
boys in the Rabun Gap-Nacoochee School. He bought a farm in the Wolffork Valley and
moved there in 1935. George and Mary lived on this farm until his health would no longer
permit him to work. He then moved in with his daughter, Vera, and her family in Clayton,
Georgia were he lived until his death 17 September 1957. . \\
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Descendants of George Western Bennett
Chapter 1
Myrtle Laura Bennett married, first, Ernest Murray 17 April1937 in Asheville,
North Carolina. They did not have any children.
Myrtle Laura Bennett married, second, Vernon Calvert of Chicago, Dlinois.
They did not have any children.
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Descendants of George Western Bennett
Chapter 1
William Horace Bennett married, first, Nina English of High Point, North
Carolina. They had one daughter:
Patricia (Patsy) Bennett; 19 September 1933, Washington, DC
William Horace Bennett married, second, Catherine Charlotte Rogers of Rabun
County, Georgia, 17 Apri11936. Catherine was born 4 June 1919, the daughter of Walter
Rogers and Mollie Rogers. Horace was a veteran of World War IT (U.S. Marines). He
retired from Crysler Corporation in Detroit, Michigan. He and Catherine are buried at
Rabun Memorial Park, Tiger, Georgia. Their children were:
Mary Sue Juanita "Janie" Bennett; 27 October 1938, Shoal Creek
Township of Cherokee County, North Carolina
Jenny Ruth Bennett; 29 May 1941, Mountain City, Georgia
William Horace Bennett, Jr.; 21 October 1946, Clayton, Georgia
Judy Carol Bennett; 30 October 1951, Detroit, Michigan
James Vincent Bennett; 27 October 1952 - 2 February 1957,
Detroit, Michigan
Mary Sue Juanita "Janie" Bennett married, first, 26 May 1956, Jerry Thomas
McKenzie, son of John McKennzie and Maxie Lee McKennzie. Janie and Jerry had two
sons:
Jerry Thomas McKennzie, Jr.; 12 May 1957, Detroit, Michigan
Jeffrey Lloyd McKennzie; 11 March 1961, Los Angeles, California
Mary Sue "Janie" Bennett married, second, Raymond Brown 20 December 1967.
They had no children.
Jeffrey Lloyd McKennzie married Patsy Ann Houston. They had the following
children: (all born in Greenville, South Carolina)
Tonya Renee McKennzie; 11 July 1983-
Bradley Thomas McKennzie; 14 October 1987-
Christopher Ray McKennzie; 22 September 1990-
Jenny Ruth Bennett married, first, 6 June 1956, Max Roy Southards, the son of
Bill Southards and Margie (Justice) Southards. Jenny and Max had the following children:
Susan Lorraine Southards; 27 January 1961, Clayton, Georgia
Tracy Lynne Southards; 12 September 1963, Greenville, South
· Carolina
Billie Jean Southards; 3 August 1965
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Descendants of George Western Bennett
Chapter 1
Jenny Ruth Bennett married, second, Homer Eaton. Jenny and Homer had one
daughter:
Kelly Renee Eaton; 2 May 1972 in Simpsonville, South Carolina
Jenny Ruth Bennett married, third, Carl Shelton. They had no children.
Susan Lorraine Southards married Faron LeVinch Welch 26 July 1980. They
have the following children: (all three were born in Toccoa, Georgia)
Jennifer Lee Welch; 7 September 1981 -
April Lorraine Welch; 23 May 1984 -
Kelsey Marie Welch; 5 July 1989-
Faron owns and operates a heavy equipment business in Clayton, Georgia. Susan
works for Burlington Industries.
Tracy Lynne Southards married Mark Anthony Stone 20 June 1981 at the Blue
Height Baptist Church, Mountain City, Georgia. Mark is the son of Clarence Stone, Sr.
and Bobbie Stone. Tracy and Mark had the following children:
Christine Denise Stone; 10 May 1982, Greensboro, North Carolina
Mark Anthony Stone, Jr.; 30 June 1984 -
Matthew McKensie Stone; 15 April1988, Franklin, North Carolina
Billie Jean Southards married Shayne Jody Beck 22 August 1981 in Greensboro,
North Carolina. Shayne was born 16 November 1960, Angel Hospital, Franklin, North
Carolina, son of Curtis Benjamin Beck and Ethel Lorraine (York) Beck. Billie Jean and
Shayne had the following children: (both born in Toccoa, Georgia)
Erika Renee Beck; 6 December 1981 -
Ashley LaToya Beck; 6 February 1986 -
Kelly Renee Eaton married Dean Lovell21 June 1979 at Rabun County
Courthouse, Clayton, Georgia (J.P. Larry Cannon). Dean is the son of Doyce Lovell and
Sarah (Crump) Lovell. Kelly Renee and Dean had the following children:
Deanna Renee Lovell; 7 May 1988, Franklin, North Carolina
Candice Nicole Lovell; 4 September 1989, Toccoa, Georgia
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Descendants of George Western Bennett
Chapter 1
William Horace "Bill" Bennett, Jr. married Joanie Marie Fochey 12 January
1964, daughter of Marvin Jacob Fochey and Margaret Mary (Jaques) Fochey. Bill Jr. and
Joanie had two sons: (both born in Detroit, Michigan)
Jeffrey Michael Bennett; 9 October 1964 -
Keith Lawrence Bennett; 24 October 1965 -
Keith Lawrence Bennett married Amy English. They had the following children:
Kristin Elizabeth Bennett
Matthew Keith Bennett; 17 Apri11989, Hare! Park, Michigan
Judy Carol Bennett married 10 May 1969, Lamon Elford Queen in Travelers
Rest, South Carolina. Lamon works for Burlington Industries. Lamon and Judy had the
following children:
Michael Lamon Queen; 25 November 1969, Clayton, Georgia
Tammy Carol Queen; 28 Aprill972, Toccoa, Georgia
As of September 1990 Michael Lamon Queen was serving in the U.S. Army.
Tammy Carol Queen married Johnny Wayne Ramey 18 February 1989. Wayne
was born 9 January 1969, the son of Vernice Ramey and Louise (Holt) Ramey. Wayne
and Tammy had a son:
Michael Wayne Ramey; 24 July 1990-24 July 1990, Toccoa,
Georgia
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Descendants of George Western Bennett
Chapter 1
Robert Hilliard "Bob" Bennett married Virginia Faye "Kitty" Neal24 December
1936 in Clayton, Georgia. Kitty was born 12 January 1918 in Hiawassee, Georgia, the
daughter of Westley Calvin Neal and Nancy Carrie (Kimsey) Neal. Bob was a carpenter
and a civil service employee in Norfolk, Virginia for more than 30 years, retiring as
Planner and Estimator. They had the following children:
Bobby Neal Bennett; 19 June 1939, Franklin, North Carolina
Linda Fae Bennett; 14 May 1954, Norfolk, Virginia
Amy Teresa Bennett; 29 December 1958, Norfolk, Virginia
Bobby Neal Bennett married Lucawanda "Wanda" Cruz 16 August 1971 in
Miami, Florida. Wanda, the daughter of Mr. and Mrs. Castro Cruz was born in Humacao,
Puerto Rico. Bobby served in the U.S. Air Force for several years and now (1990) works
in security in Fort Worth, Texas. Their children are:
Sydell Bennett; 7' April1965- [1]
April Eunice Bennett; 27 April 1973 in Miami, Florida -
Enrique Hilliard Bennett; 4 March 1974 in Miami, Florida-
Linda Fae Bennett married, first, David John Van Petten of Virginia Beach,
Virginia 7 August 1976 at Thalia Trinity Presbyterian Church, Virginia Beach, Virginia.
They had no children.
Linda Fae Bennett married, second, Ronald Allen "Ron" Barnes 2 April1983 in
San Clemente, California. Ron was born 26 August 1955 in Orange, New Jersey, the son
of John William Barnes, Jr. and Barbara (Anderson) Barnes. Ron is a nuclear engineer
and as of 1990 is employed by Westinghouse in Aiken, South Carolina. Linda is a graduate
of Mary Washington College, Fredericksburg, Virginia. Ron is a graduate of the U.S.
Naval Academy, Annapolis, MD. Their children: (all three born in Oceanside, California)
Heather Nicole Barnes; 12 November 1984-
Kara Lynn Barnes; 29 May 1986-29 May 1986
Lyndsay Christine Barnes; 18 April1988-
Amy Teresa Bennett married Daniel "Dan" Bennett Houston 26 April 1986 at
Thalia Trinity Presbyterian Church, Virginia Beach, Virginia. Amy has a degree in
Computer Science from James Madison University. Dan was born 30 August 1954 in
Washington, DC, the son of Samuel Houston, Jr. and Nancey (Keenley) Houston. Dan
works in law enforcement and security in Virginia Beach, Virginia. They have a son:
Jared Bennett Houston; 22 December 1988, Virginia Beach,
Virginia
[ 1] Sydell was Wanda's daughter by a previous marriage. She was adopted by Bobby.
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Descendants of George Western Bennett
Chapter 1
Maud Elizabeth Bennett married Ralph Wilson Hill30 November 1939 in
Walhalla, South Carolina. Ralph was born 13 February 1913 at Mount Airy, Habersham
County, Georgia, the son of John Thomas Hill and Callie (Palmer) Hill. Ralph saw service
in the U.S. Navy Seabees during World War ll (Pacific Theater). He was a carpenter and
building contractor in Habersham County, Georgia during most of his life. Their children:
Michael Larry Hill; 19 September 1949- [1]
Mary Lane Hill; 19 September 1949- [1]
Ronald "Ronnie" Wilson Hill; 26 April 1952, Toccoa, Georgia
Michael Larry Hill married, first, Dolly Webb. They did not have any children but
Dolly had been previously married and had three children from this marriage:
Tammy Webb; 15 June 1967- [2]
Royce Webb; 11 October 1968 - 28 October 1978 [2]
Valarie Webb; 29 July 1970 - [2]
Michael Larry Hill married, second, Melvina Wheelis in 1989.
Mary Lane Hill married, first, Jerry Dalton. Jerry was born 17 January 1946.
They adopted two children:
Dwayne Wilson Dalton; 21 September 1967-
Dennis Gerald Dalton; 30 November 1970-
Lane and Jerry had a daughter:
Elizabeth Dalton; 8 August 1983-
Mary Lane Hill married, second, Anthony "Tony" Parks Kesler 13 May 1989,
the son of Oliver Parks Kesler and Dorothy Maxine (Bee!) Kesler. They have a son:
Matthew Parks Kesler; 30 March 1990
"Ronnie" Hill married Portia London 3 June 1977 at Double Springs Baptist
Church, Demorest, Georgia. Portia was born 27 March 1957, the daughter of Harold
London and Corrine (Tench) London. Ronnie and Portia have a daughter:
Endie Leigh Hill; 24 August 1985, Gainesville, Georgia
[1] Adopted
[2] Adopted by Larry
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Descendants of. George Western Bennett
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Vera Vianna "Pete" Bennett married Fred Marcus "Casey" Jones 11 May 1942 at
Walhalla, South Carolina. Casey was born 17 October 1921 at Suwanee, Georgia and died
8 February 1985 at Athens, Georgia (RMP). He was the son of Marcus Augustus Jones
and Mary (Johnston) Jones. Vera and Casey had two sons:
Alan Bennett Jones; 5 February 1948, Franklin, North Carolina
Alvin Raymond Jones; 11 Apri11952, Clayton, Georgia
Casey saw service in the U.S. Army during World War ll. He was in the 238th
Combat Engineers Battalion and was involved in the Battle of the Bulge in Europe. As a
civilian, he was an auto mechanic. At the time of his death he was owner and operator of
Clayton Garage and Recapping, Clayton, Georgia.
Alan Bennett Jones married Linda Carol Taylor 31 May 1968 at the Battle
Branch Church, Clayton, Georgia. Linda was born 27 November 1949 at Clayton,
Georgia, the daughter of Renard Ervin Taylor and Patsy Ann. (Henry) Taylor. Alan
worked with his father and he and Alvin operated the Clayton Garage in Clayton, Georgia
until1990. Alan then retired, leaving Alvin to run the business alone. Linda has worked
as a secretary. Alan and Linda liave two children: (both were born in Clayton, Georgia)
Darrell Casey Jones; 5 February 1970-
Alana Ann Jones; 17 August 1973-
Alvin Raymond Jones married Myra Melvina "Mellie" Queen 11 August 1977 at
his parents' home in Clayton, Georgia. Mellie was born 1 August 1957 at Highlands,
North Carolina, the daughter of Lamon "Jack" Queen and Sandra (Page) Queen. Alvin
owns and operates the Clayton Garage in Clayton, Georgia. Mellie is a veterinary assistant
and Morgan horse breeder. Mellie and Alvin have two children: (both born in Toccoa,
Georgia)
Jeremiah Morgan Jones; 7 February 1979-
Levi Jihon Jones; 5 February 1982 -
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Descendants of George Western Bennett
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Della Edna Bennett married Emmett Urcey Dillard 4 February 1940 in the
Clarkesville Baptist Church, Clarkesville, Georgia. The Rev. Douglas Malcom White
performed the ceremony. "Urcey" was born 12 August 1918, Sylva, North Carolina, son
of Vilas Napoleon "Polie" Dillard and Charlotte Minnie Lee (Cope) Dillard. Emmett
(name used after he _started to work for the U.S. government) served in the U.S. Navy
during World War II as a radarman aboard the U.S.S. Duxberry Bay. After the war he
returned to school and received his Master of Science degree at North Carolina State
College in 1948 and his Ph.D. in Animal Husbandry from the University of Missouri in
1953. He joined the faculty of North Carolina State in 1948 and taught there until his
retirement in 1979. Emmett and Della had four children:
David George Dillard, 11 January 1941 at George Bennett's home in
Wolffork Valley, Rabun Gap, Georgia;
Sandra Leigh Dillard, 24 October 1943 in Clarksville, Georgia;
Gerald Emmett Dillard, 27 April1945 in Clarksville, Georgia; and
Clifton Eugene Dillard, 11 January 1951 in Raleigh, North Carolina.
David George Dillard married Hilda Irene Miranda Matos on 20 December 1969
in the Forest Hills Baptist Church
The Gateway, Battle Abbey, Sussex
No full text'The Gateway BATTLE ABBEY. SUSSEX. Drawn by J. P. Neale. Engraved by J. C. Varrall. London Pubd,, Sep 1, 1828, by J. P. Neale, 16, Bennett St,, Blackfriar's Road.' Above centre 'VOL. IV.' Accompanied by notes
Cothelstone House, Somerset
No full text'COTHELSTONE HOUSE, SOMERSETSHIRE. Drawn by J. P. Neale. Engraved by J. C. Varrall. London, Published June 1st. 1828, by J. P. Neale, 16, Bennett Strt. Blackfrs. Road.' Accompanied by notes
Eaton Mascott, Shropshire
No full text'EATON, SHROPSHIRE. Drawn by J. P. Neale. Engraved by J. C. Varrall. London. Pub: June. 1. 1829. by J. P. Neale. 16. Bennett Street, Blackfriars Road.' Accompanied by notes
A chart of the Banks of Newfoundland [cartographic material] : drawn from a great number of hydrographical surveys, chiefly from those of Chabert, Cook, and Fleurieu, connected and ascertained by astronomical observations.
No full textNautical chart of the Great Bank of Newfoundland adjacent to the southeastern coast of Newfoundland. Depths shown by soundings.; Prime meridian: London.; Map imprint: London : Printed for & sold by Robt. Sayer & Jno. Bennett, No. 53 in Fleet Street as the Act directs, 25th March 1775.; Plate 113 from: The American atlas / Thomas Jefferys. London : Sayer & Bennett, 1776.; Includes "Astronomical observations on which this chart is grounded."; National Maritime Museum catalogue of the Library, v. 3, p. 424.; Also available in an electronic version via the Internet at: http://nla.gov.au/nla.map-rm434
Improved Hardness of BDD and SVP Under Gap-(S)ETH
No full textWe show improved fine-grained hardness of two key lattice problems in the _p norm: Bounded Distance Decoding to within an α factor of the minimum distance (BDD_{p, α}) and the (decisional) γ-approximate Shortest Vector Problem (GapSVP_{p,γ}), assuming variants of the Gap (Strong) Exponential Time Hypothesis (Gap-(S)ETH). Specifically, we show:
1) For all p ∈ [1, ∞), there is no 2^{o(n)}-time algorithm for BDD_{p, α} for any constant α > α_kn, where α_kn = 2^{-c_kn} < 0.98491 and c_kn is the ₂ kissing-number constant, unless non-uniform Gap-ETH is false.
2) For all p ∈ [1, ∞), there is no 2^{o(n)}-time algorithm for BDD_{p, α} for any constant α > α^‡_p, where α^‡_p is explicit and satisfies α^‡_p = 1 for 1 ≤ p ≤ 2, α^‡_p 2, and α^‡_p → 1/2 as p → ∞, unless randomized Gap-ETH is false.
3) For all p ∈ [1, ∞) ⧵ 2 ℤ and all C > 1, there is no 2^{n/C}-time algorithm for BDD_{p, α} for any constant α > α^†_{p, C}, where α^†_{p, C} is explicit and satisfies α^†_{p, C} → 1 as C → ∞ for any fixed p ∈ [1, ∞), unless non-uniform Gap-SETH is false.
4) For all p > p₀ ≈ 2.1397, p ∉ 2ℤ, and all C > C_p, there is no 2^{n/C}-time algorithm for GapSVP_{p, γ} for some constant γ > 1, where C_p > 1 is explicit and satisfies C_p → 1 as p → ∞, unless randomized Gap-SETH is false.
Our results for BDD_{p, α} improve and extend work by Aggarwal and Stephens-Davidowitz (STOC, 2018) and Bennett and Peikert (CCC, 2020). Specifically, the quantities α_kn and α^‡_p (respectively, α^†_{p,C}) significantly improve upon the corresponding quantity α_p^* (respectively, α_{p,C}^*) of Bennett and Peikert for small p (but arise from somewhat stronger assumptions). In particular, Item 1 improves the smallest value of α for which BDD_{p, α} is known to be exponentially hard in the Euclidean norm (p = 2) to an explicit constant α < 1 for the first time under a general-purpose complexity assumption. Items 1 and 3 crucially use the recent breakthrough result of Vlăduţ (Moscow Journal of Combinatorics and Number Theory, 2019), which showed an explicit exponential lower bound on the lattice kissing number. Finally, Item 4 answers a natural question left open by Aggarwal, Bennett, Golovnev, and Stephens-Davidowitz (SODA, 2021), which showed an analogous result for the Closest Vector Problem
Cybaeus chauliodous Bennett 2009
No full text<i>Cybaeus chauliodous</i> Bennett <p>Figs 1–15, 49</p> <p> <i>Cybaeus chauliodous</i> Bennett in Copley <i>et al.</i> 2009: 390, figs 85–98, 113. World Spider Catalog 2021. <b>Type material examined.</b> <b> U.S.A.: <i>California</i>: Holotype male.</b> Plumas County, south side of Lake Almanor, 5.ix.1959, V. D. Roth & W.J. Gertsch (AMNH). <b>Paratypes</b>: Specimens and locality data in Copley <i>et al.</i> 2009.</p> <p> <b>Other material examined.</b> <b> U.S.A.: <i>California</i>:</b> Shasta. 1♀, “Cave 91”, 40° 39' 34" N, 121° 25' 39" W, 5.v.2016, G.O. Graening & T. Rickman (CAS); 2♀, “Cave 94H dark zone”, 40° 39' 34" N, 121° 25' 39" W, 7.i.2018, T. R. Rickman & T. Blaschak (CAS). <b> <i>Oregon</i>:</b> Josephine. 3♀, Grants Pass, 20.iv.1994, no collector (CAS). Other specimens and locality data in Copley <i>et al.</i> 2009.</p> <p> <b>Diagnosis</b>. The male of <i>C. chauliodous</i> is unlikely to be confused with the known males of the other species of the <i>septatus</i> species group. The single peg seta that is much larger than the others on the patellar apophysis (Figs 1–2, 5–7) and the swollen, lip-like tip of the proximal arm of the tegular apophysis (Figs 3–4, 8–9) distinguish the male of <i>C. chauliodous</i> (<i>versus</i> one peg seta only slightly larger than the others [Figs 22, 25] and tip of the proximal arm of the tegular apophysis bluntly acuminate [Figs 23–24, 26] in <i>C. septatus</i> or one peg seta isolated in a proximal medial position on the patellar apophysis [Figs 34, 44, 47] and tip of the proximal arm of the tegular apophysis sharply acuminate [Figs 33, 35–36, 45, 48] in <i>C. somesbar</i> and <i>C. viator</i> <b>spec. nov.</b>).</p> <p> The female of <i>C. chauliodous</i> is most likely to be confused with the female of <i>C. lockeae</i> <b>spec. nov.</b> In female <i>C. chauliodous</i> the widely separated atrial openings are visible in dorsal view (Figs 12, 15) whereas in females of <i>C. lockeae</i> <b>spec. nov.</b>, as well as <i>C. septatus</i>, <i>C. somesbar</i>, and <i>C. viator</i> <b>spec. nov.</b>, the atrial openings are obscured by the vulval ducts in dorsal view (Figs 21, 29, 32, 39, 42). In addition, in female <i>C. chauliodous</i> the spermathecal heads are located antero-medially in the vulva in the vicinity of the atrial openings (Figs 12, 14–15) (<i>versus</i> in <i>C. lockeae</i> <b>spec. nov.</b> the heads are located very close to the Bennett’s glands [Figs 20–21]). Also, the females of <i>C. chauliodous</i> and <i>C. septatus</i> have relatively large atrial openings but these are conspicuous in <i>C. chauliodous</i> (Figs 10, 13) and inconspicuous in <i>C. septatus</i> (Fig. 27); in the females of <i>C. somesbar</i> and <i>C. viator</i> <b>spec. nov.</b> the atrial openings are very small and inconspicuous (Figs 37, 40); these atrial character states can be difficult to discern.</p> <p> <b>Description.</b> As in diagnosis. For other descriptive characters see Copley <i>et al.</i> (2009).</p> <p> <b>Distribution and natural history.</b> Northeastern California and inland southwestern Oregon (Fig. 49). Males have been collected from early September to mid-November. Recorded habitats are typical for species of <i>Cybaeus</i>: under rocks in pine (<i>Pinus</i> L.) and mixed pine and oak (<i>Quercus</i> L.) forests.</p>Published as part of <i>Bennett, Robb, Copley, Claudia & Copley, Darren, 2022, The Californian clade of Cybaeus (Araneae: Cybaeidae) in the Nearctic: the septatus species group and three unplaced species, pp. 189-223 in Zootaxa 5100 (2)</i> on pages 192-195, DOI: 10.11646/zootaxa.5100.2.2, <a href="http://zenodo.org/record/6145510">http://zenodo.org/record/6145510</a>
Measurement of the ratio of prompt χ c to J / ψ production in pp collisions at √s = 7 TeV
No full textThe prompt production of charmonium χ c and J / ψ states is studied in proton-proton collisions at a centre-of-mass energy of √s = 7 TeV at the Large Hadron Collider. The χ c and J / ψ mesons are identified through their decays χ c → J / ψ γ and J / ψ → μ + μ - using 36 pb - 1 of data collected by the LHCb detector in 2010. The ratio of the prompt production cross-sections for χ c and J / ψ, σ (χ c → J / ψ γ) / σ (J / ψ), is determined as a function of the J / ψ transverse momentum in the range 2 < p T J / ψ < 15 GeV / c. The results are in excellent agreement with next-to-leading order non-relativistic expectations and show a significant discrepancy compared with the colour singlet model prediction at leading order, especially in the low p T J / ψ region
Cybaeus somesbar Bennett 2009
No full text<i>Cybaeus somesbar</i> Bennett <p>Figs 33–36, 40–42, 49</p> <p> <i>Cybaeus somesbar</i> Bennett in Copley <i>et al.</i> 2009: 393, figs 99–101, 113. World Spider Catalog 2021.</p> <p> <b>Type material examined.</b> <b> U.S.A.: <i>California</i>: Holotype female.</b> Siskiyou County, 1 mile south of Somes Bar, 22.viii.1959, V. D. Roth & W.J. Gertsch (AMNH). <b>Paratypes.</b> Specimens and locality data in Copley <i>et al.</i> 2009.</p> <p> <b>Other material examined.</b> <b> U.S.A.: <i>California</i>:</b> Humboldt. 1♂, Slide Creek, 7.4 mi. W of Hwy. 96, Six Rivers National Forest, 2400′, 9.ix.1992, D. Ubick & J. Boutin (CAS). One other non-paratype specimen and its locality data are in Copley <i>et al.</i> 2009.</p> <p> <b>Diagnosis.</b> The male of <i>C. somesbar</i> is unlikely to be confused with any of the known males of the other species in the <i>septatus</i> group. It is distinguished from the male of <i>C. viator</i> <b>spec. nov.</b> by the slightly angular but rounded profile of its patellar apophysis (Fig. 34), the angular truncated tip of the distal arm of the tegular apophysis and the strongly concave posterior margin of the proximal arm of the tegular apophysis (Figs 35–36) (<i>versus</i> in the male of <i>C. viator</i> <b>spec. nov.</b> the patellar apophysis has a strongly angular profile [Figs 43–44, 47], the tip of the distal arm of the tegular apophysis is rounded, and the posterior margin of the proximal arm is angular [Figs 45, 48]). Separating the male of <i>C. somesbar</i> from those of <i>C. chauliodous</i> and <i>C. septatus</i> is discussed in the diagnoses of those two species.</p> <p> The female of <i>C. somesbar</i> is unique among <i>septatus</i> group females in having long convoluted spermathecal stalks which make three 180° bends between the spermathecal heads and bases (Figs 41–42). It shares very small inconspicuous atrial openings (Fig. 40) with the female of <i>C. viator</i> <b>spec. nov.</b> (Fig. 37) but the spermathecal stalks in that species are very short and almost linear (Figs 38–39). Distinguishing the female of <i>C. somesbar</i> from those of <i>C. chauliodous</i>, <i>C. lockeae</i> <b>spec. nov.</b>, and <i>C. septatus</i> is discussed in the diagnoses of those three species.</p> <p> <b>Description.</b> As in diagnosis. Other descriptive characters are presented here. Ventral tibia I macrosetae 2–1p– 2–1p–1p(or 0, or 2). Femora unbanded in females, very lightly banded ventrally in the single known male.</p> <p> <i>Male</i> (n=1). Patellar apophysis (Figs 33–34) antero-prolaterally directed, length about equal to width of palpal patella, with solitary large medially located peg seta isolated from three setae arranged around the tip of the apophysis. Embolus (Figs 35–36) very thin, describing a simple curve. Tip of proximal arm of tegular apophysis (Figs 35–36) sharply acuminate in ventral view, angular in retrolateral view</p> <p>Measurements (n=1). CL 2.28; CW 1.58; SL 1.14; SW 1.09.</p> <p> <b>Note:</b> We have associated the Slide Creek male with the previously described females of <i>C. somesbar</i> because it was collected in the same general area as the other California specimens, only 20 to 50 km separate the Slide Creek locality from the other California localities for this species, and no other species of <i>Cybaeus</i> in the area is known only from females.</p> <p> <b> <i>Female</i>:</b> See Copley <i>et al.</i> 2009.</p> <p> <b>Distribution and natural history.</b> (Fig. 49) Northwestern California (Klamath Mountains and lower Klamath/Salmon Rivers drainage) and adjacent southwestern Oregon. Apparently absent from the coast. The single male was collected in September.</p>Published as part of <i>Bennett, Robb, Copley, Claudia & Copley, Darren, 2022, The Californian clade of Cybaeus (Araneae: Cybaeidae) in the Nearctic: the septatus species group and three unplaced species, pp. 189-223 in Zootaxa 5100 (2)</i> on page 201, DOI: 10.11646/zootaxa.5100.2.2, <a href="http://zenodo.org/record/6145510">http://zenodo.org/record/6145510</a>
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