Unreferenced auto yes date December 2009 Ben L. Trace August 22, 1890 November 1976 was an United States American songwriter who, from the 1910s through the 1950s, in collaboration with his ten years younger bandleader brother, Al Trace Al , composed hundreds of lyrics to popular songs. A native of Chicago , Ben Trace wrote the songs which were primarily performed by Al Trace and His Orchestra, including their most successful recording, You Call Everybody Darlin , which became a 1 hit in 1948. DEFAULTSORT Trace, Ben Category American composers Category Songwriters from Illinois Category People from Chicago, Illinois Category 1890 births Category 1976 deaths Category Date of death missing Category Place of death missing Songwriter stub ... more details
Unreferenced stub auto yes date December 2009 Trace scheduling is an Compiler optimization optimization technique used in compilers for computer programs . A compiler often can, by Instruction scheduling rearranging its generated machine instruction s for faster execution, improve program performance. Trace scheduling is one of many known techniques for doing so. Trace scheduling was originally developed for Very Long Instruction Word, or VLIW machines, and is a form of global code motion. It works by converting a loop to long straight line code sequence using loop unrolling and static branch prediction . This process separates out unlikely code and adds handlers for exits from trace. The goal is to have the most common case executed as a sequential set of instructions without branches. DEFAULTSORT Trace Scheduling Category Compiler optimizations Category Compiler construction Prog lang stub it Trace scheduling ja ... more details
In mathematics , the field trace is a function mathematics function defined with respect to a finite extension finite field extension L K . It is a linear map K linear map from L to K . As an example, if L K is a Galois extension and is in L , then the trace of is the sum of all the Galois conjugate s of , i.e. math operatorname Tr L K alpha sum g in operatorname Gal L K g alpha , math where Gal L K denotes the Galois group of L K . For a general finite extension L K , the trace of an element can be defined as the Trace linear algebra trace of the K linear map multiplication by , that is, the map from L to itself sending x to x. If L K is inseparable , then the trace map is identically 0. When L K is separable, a formula similar to the Galois case above can be obtained. If sub 1 sub , ..., sub n sub are the distinct K linear field embeddings of L into an algebraically closed field overline F containing K where n is the degree of the extension L K , then math operatorname Tr L K alpha sum j 1 n sigma j alpha . math Properties of the trace As mentioned above, the trace nowrap Tr sub L K sub L K is a K linear map. Additionally, it behaves well in tower of fields towers of fields if M is a finite extension of L , then the trace from M to K is just the composition of the trace from M to L with the trace from L to K , i.e. math operatorname Tr M K operatorname Tr L K circ operatorname Tr M L . math When L K is separable, the trace provides a duality theory via the trace form the map from nowrap L L to K sending x , y to Tr sub L K sub xy is a nondegenerate form nondegenerate , symmetric form symmetric , bilinear form called the trace form. An example of where this is used is in algebraic number theory in the theory of the different ideal . See also Field norm References Section VI.5 of Lang Algebra edition 3r Citation last Roman first Steven title Field theory ... 8 isbn 978 0 387 27677 9 DEFAULTSORT Field Trace Category Field theory fr Forme trace nl Spoor ... more details
In analytical chemistry , a trace element is an Chemical element element in a sample that has an average concentration of less than 100 parts per million measured in atomic count, or less than 100 micrograms per gram. In biochemistry , a trace element is a dietary mineral that is needed in very minute quantities for the proper growth, development, and physiology of the organism. ref H. J. M. Bowen , Trace Elements in Biochemistry . Academic Press , 1966. 2nd edition, 1976. See also List of micronutrients . ref In geochemistry , a trace element is a chemical element whose concentration is less than 1000 parts per million ppm or 0.1 of a rock geology rock s composition. The term is used mainly in igneous petrology . Trace elements will either prefer liquid or solid phase. If compatible with a mineral, it will prefer a solid phase E.G. Ni compatible with Olivine . If it is incompatible with an element it will prefer a liquid phase. The measurement of this ratio is known as the partition coefficient. Trace elements can be substituted for network forming cations in mineral structures. Minerals do not have to contain trace elements, i.e. they do not have to appear in in the mineral s chemical formula. See also Bowen s Kale Major element References reflist Category Analytical chemistry Category Biochemistry Category Geochemistry Category Petrology Geology stub chem stub ar de Spurenelement et J lgelement fr Trace chimie he ja ko ta th simple Trace element ... more details
refimprove date February 2008 Trace metals are metal s in extremely small quantities that are present in animal and plant cells and tissue. They are a necessary part of nutrition and physiology . Ingestion of, or exposure to, excess quantities is often toxicity toxic . However, insufficient plasma or tissue levels of certain trace metals can cause pathology as well as is the case with iron. Trace metals include iron , magnesium , lithium , zinc , copper , chromium , nickel , cobalt , vanadium , arsenic , molybdenum , manganese , selenium and others. ref cite book last Murray RK, Bender DA, Botham KM, Kennelly PJ, Rodwell VW, Weil PA title Harper s Illustrated Biochemistry year 2009 publisher McGraw Hill location New York url http www.accessmedicine.com content.aspx?aID 5229785 author Bender DA edition 28th ed coauthors Mayes PA accessdate January 4, 2012 chapter Chapter 44. Micronutrients Vitamins & Minerals ref Trace metals are depleted through the expenditure of energy by various metabolic processes living organisms. They are replenished in animals through diet as well as environmental exposure, and in plants through the uptake of nutrients from the soil in which the plant grows. Human vitamin pills and plant fertilizer s both contain trace metals as additional sources for trace metals. Trace metals are sometimes referred to as trace elements, though the latter is a broader category. See also Dietary mineral . Trace elements though required in smaller quantities are to be taken in diet as they are required by the body for specific functions but taking them in excess causes various problems. For example fluorine is required for the formation of bones and enamel on teeth.However, when taken in more quantities due to its excessive content in ground water by people in some areas causes a disease called Fluorosis , in which bone deformations and yellowing of teeth are seen. References Reflist Category Biology biology stub es Trazas met licas ... more details
Branch trace is a computer program debugging tool or analysis technique. It is an abbreviated instruction trace in which only the successful Branch computer science branch instructions are recorded. On IBM System 360 this was implemented as part of Program Event Recording PER ref http publib.boulder.ibm.com infocenter zvm v5r4 index.jsp?topic com.ibm.zvm.v54.hcpb6 hcsa4b1046.htm ref but was seldom used at the application programming level. Program Event Recording hardware was used and due to the overhead of this tool, it was removed from customer available MVS systems. Branch tracing is also available for Pentium 4, Intel Xeon and later Intel processors. ref IA 32 Intel Architecture Software Developer s Manual ftp download.intel.com support processors celeron sb 6.pdf , Volume 3B System Programming Guide, Part 2, Chapter 18.4 Last branch reording overview. ref There are dedicated processor commands to enable branch tracing and save executed branches into special Branch Trace Store area of resident memory. The Branch Trace Store can be also configured to be a circular buffer, so that last executed branches are recorded. Branch tracing on Intel processors can cause 40x application run time slow down. ref http www.cs.virginia.edu krw7c icse nier.htm Exploiting Hardware Advances for Software Testing and Debugging NIER Track , by Mary Lou Soffa, Kristen R. Walcott, Jason Mars, in Proceedings of ICSE , 2011. See Chapter 4.2 Branch Trace Store. ref Use With the availablity and reference to a compiler listing of the program together with a branch trace, the full path of executed instructions can be reconstructed. With a lot more effort, the full path can even be reconstructed with a memory dump containing the program storage and a branch trace. Alternatives A more comprehensive trace of all the instructions including instructions between branches can be obtained by the use of an instruction set simulator where available on some platforms . A full instruction trace can provide ... more details
In mathematics and computer science , trace theory aims to provide a concrete mathematical underpinning for the study of concurrent computation and process calculi . The underpining is provided by an algebraic definition of the free partially commutative monoid or trace monoid , or equivalently, the history monoid , which provides a concrete algebraic foundation, analogous to the way that the free monoid provides the underpining for formal language s. The power of trace theory stems from the fact that the algebra of dependency graph s such as Petri net s is isomorphic to that of trace monoids, and thus, one can apply both algebraic formal language tools, as well as tools from graph theory . While the trace monoid had been studied by Pierre Cartier mathematician Pierre Cartier and Dominique Foata for its combinatorics in the 1960s, trace theory was first formulated by Antoni Mazurkiewicz in the 1970s, in an attempt to evade some of the problems in the theory of concurrent computation, including the problems of interleaving and non deterministic choice with regards to refinement in process calculi. References V. Diekert, G. Rozenberg, eds. The Book of Traces , 1995 World Scientific, Singapore ISBN 9810220588 Volker Diekert, Yves Metivier, http citeseer.ist.psu.edu diekert97partial.html Partial Commutation and Traces , In G. Rozenberg and Arto Salomaa A. Salomaa , editors, Handbook of Formal Languages , Vol. 3 , Beyond Words . Springer Verlag, Berlin, 1997. Volker Diekert, Combinatorics on traces , LNCS 454, Springer, 1990, ISBN 3540530312 Category Concurrent computing Category Formal languages formalmethods stub ... more details
Trace amines are an endogenous group of amines structurally and metabolically related to classical monoamine neurotransmitter s, such as dopamine , norepinephrine , and serotonin . Compared to the classical monoamines, they are present in trace concentrations. They are distributed heterogeneously throughout the mammalian brain and peripheral nervous tissues and exhibit high rates of metabolism . Although, they can be synthesized within parent monoamine neurotransmitter systems, there is evidence that suggests that some of them may comprise their own independent neurotransmitter systems. ref Burchett SA, Hicks TP. The mysterious trace amines protean neuromodulators of synaptic transmission in mammalian brain. Prog Neurobiol. 2006 Aug 79 5 6 223 46. ref Trace amines may play very significant roles in the coordination of biogenic monoamine based synaptic physiology. At high concentrations, they have well characterized presynaptic amphetamine like effects on monoamine release, reuptake and biosynthesis at lower concentrations, they possess postsynaptic modulatory effects that potentiate the activity ... TP. The mysterious trace amines protean neuromodulators of synaptic transmission in mammalian brain. Prog Neurobiol. 2006 Aug 79 5 6 223 46. ref A family of G protein coupled receptors known as TAAR s trace amine associated receptors has been characterized to be responsive to trace amines ref Lindemann L, Ebeling M, Kratochwil NA, Bunzow JR, Grandy DK, Hoener MC. Trace amine associated receptors form ... of the catecholamine neurotransmitters are agonists of a rat trace amine receptor. Mol Pharmacol. 2001 Dec 60 6 1181 8. ref Like dopamine, noradrenaline, and serotonin, the trace amines have been implicated ... ref Davis, B.A., Boulton, A.A., 1994. The trace amines and their acidic metabolites in depression ... 18, 63 75. ref . List of trace amines Phenethylamine s related to catecholamine s, such as dopamine ... See also Trace amine associated receptor Monoamine neurotransmitter s References Reflist Neurotransmitters ... more details
Unreferenced stub auto yes date December 2009 A stack trace also called stack backtrace or stack traceback is a report of the active stack frame s at a certain point in time during the execution of a computer program program . It is commonly used during interactive and post mortem debugging . It can also be displayed to the user of a program as part of an error message , which a user can report to a programmer. A stack trace allows to track the sequence of nested function s called up to the point where the stack trace is generated. In a post mortem scenario this is up to function where the failure occurred but not necessarily is caused there . Sibling function calls are not visible in a stack trace. As an example, the following Python programming language Python program contains an error. source lang python def a b def b c def c error a source Running the program under the standard Python interpreter produces the following error message. Traceback most recent call last File tb.py , line 10, in module a File tb.py , line 2, in a b File tb.py , line 5, in b c File tb.py , line 8, in c error NameError global name error is not defined The stack trace shows where the error occurs, namely in the code c code function. It also shows that the code c code function was called by code b code , which was called by code a code , which was in turn called by the code on line 10 the last line of the program. Language support Most programming languages, including Java programming language Java and C Sharp programming language C have in built support for retrieving the current stack trace via system calls. C has no in built support for doing this, but the stack trace can be retrieved with, e.g., the http stacktrace.sourceforge.net stacktrace library computing library . See also Context computing DEFAULTSORT Stack Trace Category Debugging Category Article Feedback 5 Comp sci stub de Stacktrace ... more details
In mathematics , a trace identity is any equation involving the trace linear algebra trace of a matrix mathematics matrix . cn date March 2012 For example, the Cayley Hamilton theorem says that every matrix satisfies its own characteristic polynomial . Trace identities are invariant under simultaneous Conjugation group theory conjugation . They are frequently used in the invariant theory of n n matrices to find the generators and Relation mathematics relations of the invariant theory ring of invariants , and therefore are useful in answering questions similar to that posed by Hilbert s fourteenth problem . Examples By the Cayley Hamilton theorem , all matrices satisfy math rm tr A n rm tr A rm tr A n 1 cdots 1 n det A 0. , math All matrices satisfy math rm tr A rm tr A T . , math See also Invariant polynomial Category linear algebra Category invariant theory Linear algebra stub ... more details
Image Fault trace geq00014.jpg thumb right 300px 1976 Guatemala earthquake Guatemala Earthquake 1976 . Along Motagua Fault Motagua fault trace where it crosses the Gual n soccer field. Note that mole track which is best developed in hard packed, brittle surface materials. A fault trace is the intersection of a geological fault with the ground surface, leaving a visible mark. The term also applies to a line plotted on a geological map to represent a fault. Source http earthquake.usgs.gov learning glossary.php?term fault 20trace USGS Earthquake Hazards Program Visual Glossary tectonics stub cartography stub Category Seismic faults Category Structural geology ... more details
Infobox musical artist name Exist Trace image Exist Trace at Tekko X.jpg caption Exist Trace at Tekkoshocon X in Pittsburgh , 2012 image size landscape yes background group or band origin Tokyo , Japan genre Alternative metal , gothic metal , melodic death metal Citation needed date November 2009 years active 2003&ndash present label Sequence, Monster s Inc., Tokuma Shoten Tokuma Japan Communications website http www.exist trace.com exist trace.com current members Jyou br Naoto br Mally br Miko br Omi Exist Trace stylized as exist trace are a Japanese visual kei Heavy metal music metal band, consisting entirely of female members. They re from Tokyo , and initially formed in June 2003. ref name Jame Profile http www.jmusiceuropa.com uk database artist.php?id 340 exist trace on JaME Retrieved on Sep 21, 2007 English ref To date, the band has released five singles, four EPs, and a compilation album. ref name Visunavi Profile http www.visunavi.com artist preview.php?id 713 exist trace on Visunavi Retrieved on Sep 21, 2007 Japanese ref Exist Trace has also appeared on ten omnibus albums as well as two live DVDs featuring several bands on the Shizuoka Prefecture Shizuoka based Sequence Records label. Exist Trace released a new EP on October 21, 2009, entitled Ambivalent Symphony . ref name exist trace s official site http www.exist trace.com release.html exist trace s official site Retrieved on March 14, 2009 Japanese ref Exist Trace made their U.S. debut at Sakura Con 2011 in Seattle, Washington . On June 15, 2011 they released their major label debut on Tokuma Japan Communications, the EP True . Musical style Exist Trace s music can be described as melodic death metal , with vocalist Jyou s death growl growls and shouts throughout many songs, which contributes to their dark ... bands Category Musical quintets el Exist Trace es Exist trace fr Exist trace ja Exist trace pl Exist trace ro Exist Trace ru Exist Trace fi Exist trace ... more details
Leave No Trace is both a set of principles, and an organization that promotes those principles. The principles ... impacts as well as techniques to prevent and minimize such impacts. Leave No Trace is an educational and ethical program, not a set of rules and regulations. Leave No Trace information helps public land visitors understand and practice minimum impact skills and ethics. The Leave No Trace ... of Other Visitors Origins The roots of Leave No Trace LNT can be traced to the 1970s and 1980s ... title In Depth History of Leave No Trace work publisher Leave No Trace accessdate 2006 08 03 archiveurl ... No Trace and outdoor ethics principals early in the 70 s at such places as Philmont Scout Ranch ... and political history of Leave No Trace. Turner charts a broad shift in wilderness ethics, from ... of Leave No Trace that often required backpackers to rely on modern technology to minimize their impact ... to Leave No Trace Wilderness, Consumerism, and Environmentalism in Twentieth Century America journal ... Act. ref name Turner Principles Leave No Trace provides a framework for outdoor recreation decision ... No Trace work publisher Leave No Trace accessdate 2006 08 03 archiveurl http www.lnt.org programs principles.php ... . In high use areas, Leave No Trace suggests that people concentrate activity, which makes further damage unlikely. In areas of very little or no use, Leave No Trace encourages people to spread out. Taking ... title Pack it in, pack it out work Teaching leave no trace publisher U.S. Bureau of Land Management ... lnt background packing.htm archivedate 2007 08 14 ref Thus, Leave No Trace recommends that trash and litter ... which requires proper disposal according to Leave No Trace. Image Cathole.png thumb right 150px A cathole ... as found will allow others a sense of discovery. Similarly, Leave No Trace directs people to minimize ... an area of rocks or twigs. Minimize Use and Impact of Fire Leave No Trace encourages people to use ..., Leave No Trace suggests using an existing fire ring in a well placed campsite or to use a fire ... more details
Infobox Album Name The Trace Type studio Artist Nell band Nell Cover Released November 28, 2008 Genre Modern Rock , Indie Rock Label WOOLIM Entertaintment Publisher Mnet Media Last album Separation Anxiety album Separation Anxiety br 2008 This album The Trace br 2008 Next album Slip Away album Slip Away br 2012 The Trace is first DVD Live Concert from South Korean Rock Band Nell band Nell . Released in November 28, 2008. Include full live recording of Nell s concert Stay which was held at the Olympics Hall in Seoul on July 19, 2008 ref cite news title Nell The Trace Special Edition url http www.yesasia.com us nell the trace special limited edition 1013081106 0 0 0 en info.html ref . Four new tracks was added into mini CD as bonus. Track listing DISC 1 Down 1 03 Tokyo Moonlight Punch Romance Good Night Stay Fisheye Lens Marionette Minus Promise Me Onetime Bestseller 12 Seconds DISC 2 Practice Video, Backstage, and Interview Mini CD Part 1 Part 2 Act 5 Part 2 acoustic ver. References Reflist Category 2008 albums Category Albums by South Korean artists ... more details
Infobox MLB player image width name Trace Coquillette position Third baseman Second baseman bats Right throws Right birth date Birth date and age 1974 6 4 birth place Carmichael, California debutdate September 7 debutyear By 1999 debutteam Montreal Expos finaldate October 1 finalyear By 2000 finalteam Montreal Expos stat1label Batting average stat1value .231 stat2label Run baseball Run s stat2value 8 stat3label Hit baseball Hit s stat3value 25 teams nowiki nowiki This forces MediaWiki to recognize the first bullet. Kind of a workaround to a bug. Montreal Expos By 1999 By 2000 Trace Robert Coquillette born June 4, 1974 in Carmichael, California is a retired Major League Baseball third baseman and second baseman . He played during two seasons at the major league level for the Montreal Expos . He was drafted by the Expos in the 10th round of the 1993 Major League Baseball Draft 1993 amateur draft . Coquillette played his first professional season with their Rookie league Gulf Coast Expos and Class A Advanced West Palm Beach Expos in By 1993 , and his last with the Chicago White Sox s Triple A Charlotte Knights in By 2005 . References http www.thebaseballcube.com players C Trace Coquillette.shtml Trace Coquillette Statistics . The Baseball Cube . 23 January 2008. http www.baseball reference.com c coquitr01.shtml Trace Coquillette Statistics . Baseball Reference . 23 January 2008. Persondata Metadata see Wikipedia Persondata . NAME Coquillette, Trace ALTERNATIVE NAMES SHORT DESCRIPTION American baseball player DATE OF BIRTH 1974 06 04 PLACE OF BIRTH Carmichael, California DATE OF DEATH PLACE OF DEATH DEFAULTSORT Coquillette, Trace Category 1974 births Category Living people Category Montreal Expos players Category Nashville Sounds players Category Major League Baseball third basemen Category Major League Baseball second basemen Category Baseball players from California Category Buffalo Bisons minor league players Category Charlotte Knights players US baseball second baseman ... more details
In quantum mechanics , and especially quantum information and the study of open quantum system s, the trace distance T is a metric mathematics metric on the space of density matrix density matrices . It is just half of the trace norm of the difference of the matrices math T rho, sigma frac 1 2 rho sigma 1 frac 1 2 mathrm Tr left sqrt rho sigma dagger rho sigma right . math The trace norm is the Schatten norm for p 1. The purpose of the factor of two is to restrict the trace distance between two normalized density matrices to the range 0, 1 and to simplify formulas in which the trace distance appears. Since density matrices are Hermitian matrix Hermitian , math T rho, sigma frac 1 2 mathrm Tr left sqrt rho sigma 2 right frac 1 2 sum i lambda i , math where the math lambda i math are eigenvalues of the Hermitian, but not necessarily positive, matrix math rho sigma math . Relationship to the fidelity The Fidelity of quantum states fidelity of two quantum states math F rho, sigma math is related to the trace distance math T rho, sigma math by math 1 F rho, sigma le T rho, sigma le sqrt 1 F rho, sigma 2 , . math Relationship to the total variation distance The trace distance is a generalization of the Total variation distance of probability measures total variation distance , and for two commuting density matrices, has the same value as the total variation distance of the two corresponding probability distributions. Category Quantum information science Category Quantum mechanics Math stub ... more details
No footnotes date April 2009 File OldTraceSunken.jpg right thumb Sunken part of the Old Trace Image NatchezCypressSwamp.jpg thumb right A cypress swamp along the side of the Trace near Jackson, Mississippi The Natchez Trace , also known as the Old Natchez Trace , is a historical path that extends roughly .... Today, the trail is commemorated by the convert 444 mi km adj on Natchez Trace Parkway , which follows the approximate path of the Trace, ref name Devoss cite journal last Devoss first David ... accessdate 2008 08 05 ref as well as the related Natchez Trace National Scenic Trail . Parts of the original trail are still accessible and some Old Natchez Trace segments listed on the National Register ... of the Natchez Trace Largely following a geologic ridgeline, prehistoric animals followed the dry ... of the Trace, bison traveled north to find salt licks in the Nashville area. ref cite book last Lay ... peoples indigenous settlements in Mississippi were connected by the Natchez Trace. Among them ..., Mississippi . The first recorded European explorer to travel the Trace in its entirety was an unnamed ... culture , had long used the Trace for trade, so they likely used it with the Europeans. Development and disappearance of the Trace Even before the Louisiana Purchase in 1803, President Thomas Jefferson ... navigable by wagon. Critical to the success of the Trace as a trade route was the development of inn ... in Mississippi and Tennessee developed along the Natchez Trace. Some of the most prominent were .... ref cite journal author Cotterill, R. S. year 1921 month April title The Natchez Trace journal Tennessee ... line to New Orleans, Louisiana , began shifting trade both east and west away from the Trace. As author ... culture on the Mississippi, the Trace lost its importance as a national road, as goods could be moved more quickly and cheaply, in greater quantity, on the river. Although many authors have written that the Trace ... vicinity. With large sections of the Trace in Tennessee converted to county roads for operation, it continues ... more details
Refimprove date January 2010 Infobox company company name Trace Elliot company logo File Trace Elliot logo.jpg foundation 1979 industry Audio equipment parent Peavey Electronics Europe, Ltd homepage http www.traceelliot.com Trace Elliot is a United Kingdom based bass guitar bass amplification manufacturer, and has a sub brand, Trace Acoustic, for acoustic instrument s. History In 1979, a music shop in Romford , Essex , UK, called Soundwave was building and hiring out PA systems to local musicians. It soon became apparent that some of this equipment was not being used simply as PA but instead was being used by bass players, who for so long had to put up with under powered amplification that was often merely a guitar amplifier with a modified tone circuit. The Soundwave owner and staff realised the potential market and developed a range of products that incorporated MOSFET output stages driving large cabinets, including 15 drivers, and also the worlds first bass dedicated 4x 10 cabinet, now an industry standard for all bass amp lines. Trace Elliot, as the brand came to be called, gained a reputation for themselves rumor has it that early users were John Paul Jones musician John Paul Jones ... , Essex , in 1985 to satisfy the growing demand. In that same year Fred Friedlein then sole owner of Trace Elliot employed the services of freelance electronics designer Clive Button. In 1989, Trace Elliot introduced the Trace Acoustic range of acoustic amplifiers also designed by Clive Button , and the company ... and sold the company to a trio of Trace Elliot directors, who took ownership of a brand with nearly ... 2005 it was announced that Peavey Electronics already employing previous Trace Elliot director Clive Roberts, acquired the brand name and were involving previous Trace Elliot designer Paul Stevens ... band compression and many other features. Trace Acoustic range. Numerous models for amplifying acoustic ... instrument manufacturing companies of the United Kingdom de Trace Elliot ... more details
Orphan date February 2009 Infobox manhwa name Trace image caption Trace Vol.5 Cover ko hangul romanized ... content subcat sort Trace ko Y The Trace lang ko is a South Korea n webcomic series written ... New book The Trace date 2008 05 19 language Korean ref ref cite news url http 211.214.103.10 ... around two main characters. Sah Gang kwon, a high school student born as a Trace who attempts to hide his ability. The other is Kim Yun Seong, who acquired his Trace abilities during his early 30s. Soon ... in by Tae Eun s family as a child and hides the fact that he is a trace . He doesn t sleep at night ... family. An unexpected turn of events revealed his identity in school and Ghang Gwon was reported as a trace .... When he realise he acquired his trace abilities, he tried to hide it but was discovered by the government and his family was taken away. Main characters Sa Ghang Gwon Sa Ghang Gwon is a Trace with the ability ... parents abandoned him on a street next to an old beggar woman Trace who could conjure fire. He wandered ... that they would abandon him like his parents, hid from them his identity as a Trace. Over the years ... as a Trace will be revealed. She begs him not to get involved, but Ghang Gwon engages the Trouble ... in a Trace school. His prime objective is to leave the Trace school and return to his family as soon ... quiet and almost antisocial. He hates that he is a Trace, shamefully hiding it from Han Tae Eun and her father oftentimes, he mutters to himself that he is not a Trace. But he also specifically uses ... to find Tae Eun especially precious. It is hinted that he likes her as more than a sister while in the Trace ... he aggravates her. As a child her mother was killed by a rouge Trace in a park, and Tae Eun repeatedly ... took him home and adopted him as her possession. At some point in time, she discovered he was a Trace ... by the government, Han Tae Eun declares that she will become a Trace and be like him. She repeatedly battles Troubles at the expense of her own life, but then she awakens as a Trace. Her arms turn a sparkling ... more details
In mathematics , a trace class operator is a compact operator for which a Trace linear algebra trace may be defined, such that the trace is finite and independent of the choice of basis. Trace class operators are essentially the same as nuclear operator s, though many authors reserve the term trace class operator for the special case of nuclear operators on Hilbert space s, and reserve nuclear trace ..., a bounded linear operator A over a separable space separable Hilbert space H is said to be in the trace ... of the choice of the orthonormal basis. This value is called the trace of A . When H is finite dimensional, every operator is trace class and this definition of trace of A coincides with the definition of the trace matrix trace of a matrix . By extension, if A is a non negative self adjoint operator, we can also define the trace of A as an extended real number by the possibly divergent .... If A is a non negative self adjoint, A is trace class if and only if Tr A &infin . Therefore a self adjoint operator A is trace class if and only if its positive part A sup sup and negative part A sup &minus sup are both trace class. The positive and negative parts of a self adjoint operator are obtained via the continuous functional calculus . valign top 2. The trace is a linear functional over the space of trace class operators, i.e. math operatorname Tr aA bB a , operatorname Tr A b , operatorname ... on the trace class the corresponding norm is called the Hilbert Schmidt operator Hilbert Schmidt norm. The completion of the trace class operators in the Hilbert Schmidt norm are called the Hilbert Schmidt operators. valign top 3. If math A math is bounded and math B math is trace class, math AB math and math BA math are also trace class and Citation needed date October 2011 math AB 1 operatorname ..., math operatorname Tr AB operatorname Tr BA math valign top 4. If math A math is trace class, then one ... for math lambda n A n math the elements of the spectrum of math A math the trace class condition ... more details
A trace gas is a gas which makes up less than 1 by volume of the Earth s atmosphere , and it includes all gases except nitrogen 78.1 and oxygen 20.9 . The most abundant trace gas at 0.934 is argon , which is being continually produced by radioactive decay of Isotopes of potassium chem 40 K in the earth s rocks. Water vapor also occurs in the atmosphere with highly variable abundance. Several atmospheric trace gases such as ozone chem O 3 , sulfur dioxide chem SO 2 and nitrogen oxide s chem NO x are human impact on the environment anthropogenic , chemically reactive factors of air quality at a regional level. Others such as carbon dioxide chem CO 2 and methane chem CH 4 are important greenhouse gas es ref cite journal author R.K. Monson & E.A. Holland year 2001 title Biospheric trace gas fluxes and their control over tropospheric chemistry journal Ann. Rev. Ecol. Sys. volume 32 pages 547 576 doi 10.1146 annurev.ecolsys.32.081501.114136 ref and are produced anthropogenically but mainly by plant s, microorganism s and from natural geothermal sources. ref cite journal author S.J. Hall, P.A. Matson & P.M. Roth year 1996 title NO sub X sub emissions from soil Implications for air quality modeling in agricultural regions journal Ann. Rev. Energy Env. volume 21 pages 311 346 doi 10.1146 annurev.energy.21.1.311 ref ref cite journal author R.K. Monson year 2002 title Volatile organic compound emissions from terrestrial ecosystems A primary biological control over atmospheric chemistry journal Israel J. Chem. volume 42 pages 29 42 doi 10.1560 0JJC XQAA JX0G FXJG ref References reflist External links http www.ace.mmu.ac.uk eae Atmosphere Older Trace Gases.html A description of atmospheric trace gases Category Gases de Spurengase nl Spoorgas nds Sporengas ... more details
Use mdy dates date March 2012 The Gaines Trace was a road in the Mississippi Territory . It was constructed in 1811 and 1812 from the Tennessee River opposite the Elk River Alabama Tennessee Elk River s mouth to Cotton Gin Port, Mississippi Cotton Gin Port on the upper Tombigbee River and on to Fort Stoddert on the lower Tombigbee. The portion from the Tennessee River to Cotton Gin Port was surveyed in 1807 and 1808 by Edmund P. Gaines , the road s namesake. In 1816, the Gaines Trace and the Tombigbee River were the boundaries between American and Chickasaw territory. ref cite book editor1 first Dunbar editor1 last Rowland title Encyclopedia of Mississippi History Comprising Sketches of Counties, Towns, Events, Institutions and Persons url http books.google.com books?id TCUVAAAAYAAJ&pg PA575&dq gaines trace boundary&hl en&sa X&ei mDZQT42eONCbtwfBroSpDQ&ved 0CDkQ6AEwAQ v onepage&q gaines 20trace 20boundary&f false volume 1 year 1907 publisher S. A. Brant page 575 ref The trace intersected Jackson s Military Road in Russellville, Alabama . Tennessee Street in Courtland, Alabama was a portion of the trace. ref cite web title Early Roads One of the South s First Railroads 1832 publisher The Historical Marker Database url http www.hmdb.org marker.asp?marker 29056 accessdate 2012 04 25 ref References Elliott, Jack D. and Wells, Mary Ann. 2003 . Cotton Gin Port a frontier settlement on the Upper Tombigbee . Jackson, Mississippi Quail Ridge Press for the Mississippi Historical Society. ISBN 0 938896 88 1 RussellvilleGov.com 2004 . http web.archive.org web 20021010051908 www.russellvillegov.com his.htm History of Russellville . Archived page of March 22, 2004. Inline Citations references DEFAULTSORT Gaines Trace Alabama road stub Mississippi road stub Category Historic trails and roads in the United States Category Historic trails and roads in Mississippi Category Historic trails and roads in Alabama ... more details
Image trace diagram adjugate.png right thumb 150px A trace diagram representing the adjugate of a matrix. In mathematics , trace diagrams are a graphical means of performing computations in linear algebra ... in which some edges are labeled by matrix mathematics matrices . The simplest trace diagrams represent the trace linear algebra trace and determinant of a matrix. Several results in linear algebra, such as Cramer ... . An n trace diagram is a graph mathematics graph math mathcal D V 1 sqcup V 2 sqcup V n, E math , where ... trace diagram is a trace diagram together with a partition of the degree 1 vertices V sub 1 ... a trace diagram may have the following special features, which are not always included in the standard ... edges between the same two vertices are permitted. Drawing conventions When trace diagrams are drawn .... Correspondence with multilinear functions Every framed trace diagram corresponds to a multilinear ..., a trace diagram s function is computed using signed graph coloring . For each edge coloring .... These weights become the coefficients of the diagram s function. In practice, a trace diagram ... 3 Vector diagrams Several vector identities have easy proofs using trace diagrams. This section covers 3 trace diagrams. In the translation of diagrams to functions, it can be shown that the positions ... by Image Trace diagram vector product definitions.png 300px In this picture, the inputs to the function ..., note that all of the following figures are different depictions of the same 3 trace diagram as specified by the above definition File Trace diagram triple product identity.png 350px ..., one can show that File Trace diagram 3 binor identity.png 100px where the equality indicates ..., and attach vectors to each of the free edges, to obtain File Trace diagram quadruple product ... only on the dimension n of the underlying vector space. File Trace diagram invariant diagrams.png 600px . Properties Let G be the group of n n matrices. If a closed trace diagram is labeled by k ... more details
Infobox person image TraceBeaulieu.jpg name Trace Beaulieu caption Trace at Dragon Con 2008 birth date birth date and age 1958 11 06 birth place Minneapolis, Minnesota othername website spouse footnotes Trace Beaulieu born November 6, 1958 is an United States American puppeteer, writer, and actor. He is best known for his roles on Mystery Science Theater 3000 MST3K . ref name credits http www.mst3kinfo.com ward e listcred.html The Nearly Complete List of Credits , Ward E, The Satellite News . ref ref name imdb cite web url http www.imdb.com name nm0064546 title Trace Beaulieu work Internet Movie Database accessdate 2008 02 01 ref Mystery Science Theater 3000 For the first eight 1 at WUCW KTMA KTMA and 7 on The Comedy Channel United States Comedy Channel Comedy Central Central seasons of MST3K , Beaulieu operated and voiced the Crow T. Robot puppet and played the role of Doctor Clayton Forrester MST3K Dr. Clayton Forrester , who was the head mad scientist of Deep 13. ref name credits At the end of a truncate d seventh season, Trace Beaulieu left the series. ref name west brains http www.mst3k.com mstfaq wbrains.html TRACE West Brains Trace , The Satellite News . ref Pearl Forrester Mary Jo Pehl replaced him as the head mad scientist and Bill Corbett took over the voicing and operation of Crow. ref name credits Work after MST3K Beaulieu appeared as a semi regular in Freaks and Geeks as the school s biology teacher, Mr. Lacovara. He also appeared in The West Wing television The West ..., Trace Beaulieu and Mary Jo Pehl Bot generated title ref As of April 2012, he continues to tour with Cinematic Titanic. References reflist External links imdb name id 0064546 name Trace Beaulieu Persondata Metadata see Wikipedia Persondata . NAME Beaulieu, Trace ALTERNATIVE NAMES SHORT DESCRIPTION ... Beaulieu, Trace Category 1958 births Category Living people Category American people of French ... nl Trace Beaulieu ... more details
TRACE is a connectionist model of speech perception , proposed by James McClelland psychologist James McClelland and Jeffrey Elman in 1986. ref name trace McClelland, J.L., & Elman, J.L. 1986 . The TRACE model of speech perception. Cognitive Psychology, 18, 1 86. ref TRACE was made into a working computer ... mind brain processes speech sounds and words as they are heard in real time. Inspiration TRACE was created ... perception involves presenting the TRACE computer program with mock speech input, running the program .... TRACE is the same kind of theory, only it is interested in how people perceive speech. Time course ... competition, one word is recognized. ref name trace For example, a listener hears the beginning ... t match the input . Soon after, bald is recognized. TRACE simulates this process by representing the temporal ... TRACE simulation. Image bald.png thumb center 325px Figure 1 A simple TRACE simulation. Word activation ... perception. Journal of Experimental Psychology Human Perception and Performance, 6, 110 125. ref TRACE ... psychology of language . TRACE proposed the following solution, backed up by simulations ... to expect the next word to begin. ref name trace How TRACE works The TRACE model is a connectionist ... 2 shows a schematic diagram of TRACE. There are three types of connectivity 1 feedforward excitatory ... excitatory connections from words to phonemes. The input to TRACE works as follows. The user provides ... of TRACE processing dynamics, readers are referred to the original publication ref name trace and to a TRACE http maglab.psy.uconn.edu jtrace software tool that runs simulations with a graphical user interface. Image TRACE architecture.jpg thumb center 450px Figure 2 Schematic diagram of TRACE architecture. Criticism Modularity of mind debate TRACE s relevance to the modularity of mind modularity ... and Brain Sciences, 23, 299 370. ref While it shares a number of features with TRACE, a key difference is the following. While TRACE permits word units to feed back activation to the phoneme level, Merge ... more details
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