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5628b3e69591fa04d5c8d727c0d255db01245621
mertens had the idea to use linear competitive
mertens had the idea to use linear competitive economies as an order book (trading) to model limit orders and generalize double auctions to a multivariate set up. acceptable relative prices of players are conveyed by their linear preferences, money can be one of the goods and it is ok for agents to have positive margin...
wikipedia
b82315e4d3f0150b5282097fdaca503771887ad2
stochastic games were introduced by lloyd shapley in
stochastic games were introduced by lloyd shapley in 1953. the first paper studied the discounted two-person zero-sum stochastic game with finitely many states and actions and demonstrates the existence of a value and stationary optimal strategies. the study of the undiscounted case evolved in the following three decad...
wikipedia
b329bbe958bc24bf1ef770833a77e0104796b171
collectively jean-françois mertens's contributions with zamir (and also
collectively jean-françois mertens's contributions with zamir (and also with sorin) provide the foundation for a general theory for two person zero sum repeated games that encompasses stochastic and incomplete information aspects and where concepts of wide relevance are deployed as for example reputation, bounds on rat...
wikipedia
42b28af1723037dc3827892e562881892812d24f
a building block of mertens and zamir's approach
a building block of mertens and zamir's approach is the construction of an operator, now simply referred to as the mz operator in the field in their honor. in continuous time (differential games with incomplete information), the mz operator becomes an infinitesimal operator at the core of the theory of such games. uniq...
wikipedia
add24fd7bd95b94eef3f0e44c0f81cb14e415719
in those set-ups jean-françois mertens provided an extension
in those set-ups jean-françois mertens provided an extension of the characterization of the minmax and maxmin value for the infinite game in the dependent case with state independent signals. additionally with shmuel zamir, jean-françois mertens showed the existence of a limiting value. such a value can be thought eith...
wikipedia
e529ebbdcb174dde0b4977cec32a73d7d302de6b
repeated games with incomplete information, were pioneered by
repeated games with incomplete information, were pioneered by aumann and maschler. two of jean-françois mertens's contributions to the field are the extensions of repeated two person zero-sum games with incomplete information on both sides for both (1) the type of information available to players and (2) the signalling...
wikipedia
63837e927d4bf5b337daf294a9561cfef51744c0
mertens and zamir implemented john harsanyi 's proposal
mertens and zamir implemented john harsanyi 's proposal to model games with incomplete information by supposing that each player is characterized by a privately known type that describes his feasible strategies and payoffs as well as a probability distribution over other players' types. they constructed a universal spa...
wikipedia
4e6e1ce6e457b33957b4e2e3e10a4142a9e20ede
regarding repeated games and stochastic games, mertens 1982
regarding repeated games and stochastic games, mertens 1982 and 1986 survey articles, and his 1994 survey co-authored with sylvain sorin and shmuel zamir, are compendiums of results on this topic, including his own contributions. mertens also made contributions to probability theory and published articles on elementary...
wikipedia
b12d94d2cf8e4ecdf19df06461021ea243b4fa09
mertens contributed to economic theory in regards to
mertens contributed to economic theory in regards to order-book of market games, cooperative games, noncooperative games, repeated games, epistemic models of strategic behavior, and refinements of nash equilibrium (see solution concept). in cooperative game theory he contributed to the solution concepts called the core...
wikipedia
3bd332c93f913a834a49cf3359254e41ccb5d251
the independent school entrance examination (isee) is an
the independent school entrance examination (isee) is an entrance exam used by many independent schools and magnet schools in the united states. developed and administered by the educational records bureau (erb), the isee has four levels: the primary level, for entrance to grades 2–4; lower level, for entrance in grade...
wikipedia
0baaf74909c7ad90c893ba9ad0e8bd801dca46cf
on all three levels, students are given two
on all three levels, students are given two five-minute breaks when they take the isee. one is after the quantitative reasoning section and the other is after the mathematics achievement section. during the breaks, students may use the restroom, talk, eat food, or walk around the room. however, students are not permitt...
wikipedia
ec4615aae5f34a5789c318fe8f788d0f3c31270f
on all three levels, candidates must plan and
on all three levels, candidates must plan and write an essay to provide a sample of his or her writing to schools to which the candidate is applying. a random topic is distributed, and students have 30 minutes to write an essay using a black or blue pen. the essay is not scored, but is photocopied and sent to schools t...
wikipedia
c5ea406f7c5073a5dfe4e336e6d7193fd3fdc238
on the lower level, there are 38 questions
on the lower level, there are 38 questions to be answered in 35 minutes. on the upper and middle levels, there are 37 questions to be answered in 35 minutes. the lower level consists of word problems, and the middle and upper levels consist of word problems and quantitative comparisons.
wikipedia
e7673f463152600fd2478d9271d3f5f9e2881fbe
this section consists of two parts: synonyms and
this section consists of two parts: synonyms and sentence completions. both parts measure the student’s vocabulary level and reasoning ability. the synonym section assesses the student’s ability to pick, out of four options, a word with a similar meaning to the one in question. the sentence completion section assesses ...
wikipedia
5173c2687e4d0d6a7cbf9bb7aac7546c3f2577dc
the independent school entrance examination (isee) is an
the independent school entrance examination (isee) is an entrance exam used by many independent schools and magnet schools in the united states. developed and administered by the educational records bureau (erb), the isee has four levels: the primary level, for entrance to grades 2 – 4; lower level, for entrance in gra...
wikipedia
8e7071668e1abd7294edd67a29f3d8b152d6e3b7
ion horaţiu crişan (1928–1994) was a romanian historian
ion horaţiu crişan (1928–1994) was a romanian historian and archaeologist. he conducted research in south-eastern and central europe, focusing on geto-dacians and celts. he has been was very involved with the research at the archaeological site called Şanţul mare, 7 km from pecica, arad county, romania. he placed the d...
wikipedia
177ca375605a759666b5332421ecf7a0bd4971c8
he has been was very involved with the
he has been was very involved with the research at the archaeological site called Şanţul mare (the big ditch), 7 km from pecica, arad county, romania. he placed the dacian settlement ziridava, mentioned by ptolemy in his geographia, at this location with a high degree of certainty. he wrote a book named ziridava - the ...
wikipedia
b82a9621a6bb47516fe4ad0dd7fd2608700f33f2
lidiya petrovna tseraskaya née shelekhova was a russian
lidiya petrovna tseraskaya née shelekhova was a russian astronomer. tseraskaya was born in astrakhan, and graduated from the teacher's institute in petersberg. she worked at the moscow observatory, where she discovered 219 variable stars; among them (1905) rv tauri variable and recognized its uniqueness. the venusian c...
wikipedia
a5d9933fd9d4c8a7881ca1cc7601c94d2503384d
tseraskaya was married to vitold tserasky (1849–1925), also
tseraskaya was married to vitold tserasky (1849–1925), also known as vitol'd karlovic tseraskiy or witold ceraski, who was professor of astronomy as moscow university and director at the moscow observatory (105), after whom asteroid 807 ceraskia and lunar crater tseraskiy were named.
wikipedia
ff72efaccad90671934214e0ac14dea9bfa66b98
tseraskaya was born in astrakhan, and graduated from
tseraskaya was born in astrakhan, and graduated from the teacher's institute in petersberg. she worked at the moscow observatory, where she discovered 219 variable stars; among them (1905) rv tauri variable and recognized its uniqueness. the venusian crater tseraskaya was named after her. her academic papers were publi...
wikipedia
c94c35146cc7060ec63c7df72e311b4baf753756
lidiya petrovna tseraskaya née shelekhova (russian: Лидия Петровна
lidiya petrovna tseraskaya née shelekhova (russian: Лидия Петровна Цераская) (22 june 1855 – 24 december 1931) was a russian astronomer.
wikipedia
d82935743205e55775aa3a7c190dbd6ab11d6cfc
in september 2009, mercury was interim manager of
in september 2009, mercury was interim manager of saint vincent and the grenadines for a 1–1 draw against saint kitts and nevis. in 2010, mercury was appointed manager of system 3. following his stint at system 3, mercury managed village united and bequia united.
wikipedia
ee3b5ab4f7efd1783a765930ff4e5491ed1c0af7
josef mifsud made his international debut for malta
josef mifsud made his international debut for malta during his time as a msida saint-joseph player. he was used in a friendly match against armenia on 12 september 2007, however malta lost the match 1–0.
wikipedia
eb136b66205e51e146e91ffea001defd4d35c503
for the 2008–09 season, first-team chances diminished in
for the 2008–09 season, first-team chances diminished in his second season, mainly down to the signing of luke dimech, mifsud made 13 appearances during the season, but failed to find the net as valletta missed out on the title to hibernians.
wikipedia
c5fbf97a4f7390585bcec7dd18316e856c0f298d
with josef being branded as one of the
with josef being branded as one of the best home grown defenders in the maltese premier league, he joined valletta in the summer of 2007, for the 2007–08 season, mifsud made 25 appearances and scored two goals, as valletta won the maltese premier league title.
wikipedia
6715a4b553d9978728699682257db0e488b0d804
mifsud hoped to build on an impressive season
mifsud hoped to build on an impressive season with msida saint-joseph, and continued to perform with a string of fine performances for msida saint-joseph, as the club again finished in the championship group, in 6th position, with mifsud making 27 appearances and again failing to score. josef's performances didn't go u...
wikipedia
5934bbe15039b2e0e5f3738b4dcaa42056b83b56
with the profile of josef rising, he entered
with the profile of josef rising, he entered the 2005–06 season hoping to gain a mid table finish with msida saint-joseph, and get them away from the dreaded relegation group, and he managed to do so, as msida saint-joseph finished in the championship group, in 6th position. during the season josef made 24 appearances,...
wikipedia
4e95cfa31dd806ca92995275395dc9cfbb67294a
mifsud established himself firmly as a first team
mifsud established himself firmly as a first team regular for the 2004–05 season, making 23 appearances, but again failing to score. his contribution helped msida saint-joseph to another 8th-place finish as the club avoided relegation once again.
wikipedia
3ec6a97270f25da44ee1f1990f926882193de856
in the summer of 2003, josef mifsud moved
in the summer of 2003, josef mifsud moved to msida saint-joseph in a bid to play more first team football, he began the 2003–04 season slotting into the msida saint-joseph defence well and made 17 appearances, but failed to score any goals, as msida saint-joseph narrowly avoided relegation finishing 8th in the maltese ...
wikipedia
e5cb20a91db4af53e40db8a523c6a3a57760705e
mifsud began his career as a product of
mifsud began his career as a product of the sliema wanderers youth team, but following some impressive displays, he got his chance to play for the first team by making his debut during the 2001–02 season, he made two appearances during the season, but failed to score, as sliema wanderers finished 3rd in the maltese pre...
wikipedia
ab704f88eca66262aee61d6c37c3118478d34a89
the laplace–stieltjes transform, named for pierre-simon laplace and
the laplace–stieltjes transform, named for pierre-simon laplace and thomas joannes stieltjes, is an integral transform similar to the laplace transform. for real-valued functions, it is the laplace transform of a stieltjes measure, however it is often defined for functions with values in a banach space. it is useful in...
wikipedia
eaeebcc5b9d968b3efcee7ba5b100d345e723f81
is defined as a riemann–stieltjes integral. indeed, if
is defined as a riemann–stieltjes integral. indeed, if π is the tagged partition of the interval with subdivision 0 = t ≤ t ≤... ≤ t = t, distinguished points τ i ∈ {\displaystyle \tau _{i}\in } and mesh size | π | = max | t i − t i + 1 |, {\displaystyle |\pi |=\max \left|t_{i}-t_{i+1}\right|,} the riemann–stieltjes in...
wikipedia
79c8da70bedd2e6fe99b16f81fd976ac4b5d7650
whereas the laplace–stieltjes transform of a real-valued function
whereas the laplace–stieltjes transform of a real-valued function is a special case of the laplace transform of a measure applied to the associated stieltjes measure, the conventional laplace transform cannot handle vector measures: measures with values in a banach space. these are, however, important in connection wit...
wikipedia
392ea81661b17e08ec05d9cfcb4e0d5ae5406a4e
for s a complex number. as with the
for s a complex number. as with the usual laplace transform, one gets a slightly different transform depending on the domain of integration, and for the integral to be defined, one also needs to require that g be of bounded variation on the region of integration. the most common are:
wikipedia
ab704f88eca66262aee61d6c37c3118478d34a89
the laplace–stieltjes transform, named for pierre-simon laplace and
the laplace–stieltjes transform, named for pierre-simon laplace and thomas joannes stieltjes, is an integral transform similar to the laplace transform. for real-valued functions, it is the laplace transform of a stieltjes measure, however it is often defined for functions with values in a banach space. it is useful in...
wikipedia
e429539b55e237f9fc427161a7f8e183246ce255
when reading old disks (especially those stored in
when reading old disks (especially those stored in non-climate controlled environments for long periods) there are a number of problems that can arise, including weakening of the magnetic field storing the data, deterioration of the binder holding the metal particles to the plastic disk surface, friction issues prevent...
wikipedia
8a097e6f99331c8fe70b28e4c046acf6a2dcc40c
because the device operates on data bits at
because the device operates on data bits at the lowest possible level with very precise timing resolution, it allows modern pcs to read, decode and write floppy disks that use practically any data format or method of copy protection to aid in digital preservation. it has been tested successfully with many generations o...
wikipedia
bd3ef047bf298c4fe61a8e7544008cb4e8dba320
kryoflux consists of a small hardware device, which
kryoflux consists of a small hardware device, which is a software-programmable fdc system that runs on small arm -based devices that connects to a floppy disk drive and a host pc over usb, and software for accessing the device. kryoflux reads "flux transitions" from floppy disks at a very fine resolution. it can also r...
wikipedia
dba50b58347cb2f4876188d92a64c1a844c71998
in formal language theory, a leftist grammar is
in formal language theory, a leftist grammar is a formal grammar on which certain restrictions are made on the left and right sides of the grammar's productions. only two types of productions are allowed, namely those of the form a → b a and c d → d . here, a , b , c and d are terminal symbols. this type of grammar was...
wikipedia
148928b2fe9ae3b3ef77531b382ac14f7cb9ea69
in formal language theory, a leftist grammar is
in formal language theory, a leftist grammar is a formal grammar on which certain restrictions are made on the left and right sides of the grammar's productions. only two types of productions are allowed, namely those of the form a → b a {\displaystyle a\to ba} (insertion rules) and c d → d {\displaystyle cd\to d} (del...
wikipedia
ac785030ed480fe221a5fb76168b1ae6fd8fd99e
iddingsite is a microcrystalline rock that is derived
iddingsite is a microcrystalline rock that is derived from alteration of olivine. it is usually studied as a mineral, and consists of a mixture of remnant olivine, clay minerals, iron oxides, and ferrihydrites. debates over iddingsite's non-definite crystal structure caused it to be de-listed as an official mineral by ...
wikipedia
c96c5e2710407e26f26c23636141eeb4598c3efa
some samples that have completed their alterations have
some samples that have completed their alterations have miscellaneous cleavage thereby making it not a very good diagnostic tool. most samples have no cleavage at all. thin sections from an occurrence near lismore, new south wales, australia, have a lamellar habit with one well developed cleavage and two subsidiary cle...
wikipedia
d798468a93a7046f44e1d44151a160940f386789
iddingsite is a pseudomorph that usually has crystals
iddingsite is a pseudomorph that usually has crystals rimmed by a thin zone of yellowish brown or greenish cryptocrystalline material. the color of iddingsite varies from red-brown to orange-brown to deep ruby red to orange-red. the color of iddingsite in plane polarized light is the same until the later alteration sta...
wikipedia
5b29c5a80f9801ec6a5637c269fbd47b943b29dc
silicate structures are the most variable among all
silicate structures are the most variable among all of the structures discussed. a common silicate structure consists of a hexagonal array of cylinders whose length is parallel to the x-axis of the olivine and the side of the hexagonal cell is parallel to the z-axis of olivine. diffraction effects caused by this struct...
wikipedia
dc27df7e78779595759c8b1e2eb76a1ba2dccef1
spinel structures consist of multiple oxide structures that
spinel structures consist of multiple oxide structures that are cubic and have cubic close packing. the spinel structures have a twined orientation and are controlled by close packed sheets. this twined orientation is can be described as: the a-axis of olivine is parallel to the (111) spinel face. the b-axis of olivine...
wikipedia
da7b7d24d5b99ad3a0d2570f86baef2d9dd18512
hematite-like structures occur in a similar fashion as
hematite-like structures occur in a similar fashion as goethite. hematite has a triangular crystal system and experiences twinning by having an approximately hexagonal close-packed oxygen framework and has a structural orientation similar to olivine. when twinning occurs, the orientation of hematite-like iddingsite is ...
wikipedia
98a4f0878d5eb7d0a1157abd1dcffa4d6633da41
goethite-like structures are common because goethite is in
goethite-like structures are common because goethite is in the same space group as olivine. this allows for goethite to grow within the olivine making the close packed planes common for both structures. goethite-like structures have cell dimensions a=4.6, b= 10.0 and c = 3.0 Å. diffraction spots caused by goethite are ...
wikipedia
125b9220390037193048bbde481768f295e076c5
olivine has an orthorhombic structure with a space
olivine has an orthorhombic structure with a space group of pbnm. olivine-like structures represent the stage that breaks down olivine with chemical changes introduced by alterations. these structures have the cell dimensions a = 4.8, b = 10.3 and c = 6.0 Å, a space group pbnm and a d-spacing of 2.779 Å. olivine axes a...
wikipedia
bfcfffbdacee5fc2489d4d3060b6d747e29ecad5
the structure of iddingsite is difficult to characterize
the structure of iddingsite is difficult to characterize because of the complexity of the possible alterations that can occur from olivine. iddingsite has the tendency to be optically homogeneous which indicates that there is some structural control. structural rearrangements are controlled by hexagonal sequences of ap...
wikipedia
f3bd2d899ef178c613750dae8aef747eb18afe96
the geologic occurrence of iddingsite is limited to
the geologic occurrence of iddingsite is limited to extrusive or hypabyssal rocks, and it is absent from deep-seated rocks. iddingsite is an epimagmatic mineral derived during the final cooling of lava in which it occurs from a reaction between gases, water and olivine. the formation of iddingsite is not dependent on t...
wikipedia
7ab5e96910eaf3e3501047794aca12a804bf4a46
iddingsite is a rock that lacks a definite
iddingsite is a rock that lacks a definite chemical composition, so exact compositions cannot be calculated. an approximated composition for a hypothetical end product of iddingsite has been calculated as being sio = 16%, al o = 8%, fe o = 62% and h o = 14%. throughout the alteration process of olivine, there is a decr...
wikipedia
310245f3f7b1b4c40750e04a8bedc3cf9679efed
iddingsite has been a subject researched in recent
iddingsite has been a subject researched in recent years because of its presence in the martian meteorites. the formation of iddingsite requires liquid water, giving scientists an estimate as to when there has been liquid water on mars. potassium-argon dating of the meteorite samples showed that mars had water on its s...
wikipedia
fda98fac3792ec994bc59f4884c1cdaf41243e09
iddingsite is a pseudomorph, and during the alteration
iddingsite is a pseudomorph, and during the alteration process the olivine crystals had their internal structure or chemical composition changed, although the external form has been preserved. this is not true for all phases of the alteration of olivine because the atomic arrangement becomes distorted and causes a non-...
wikipedia
e268e066ca0fea106181a20b4fd904a57ebdb899
because iddingsite is constantly transforming it does not
because iddingsite is constantly transforming it does not have a definite structure or a definite chemical composition. the chemical formula for iddingsite has been approximated as mgo * fe o * 3sio * 4 h o where mgo can be substituted by cao. the geologic occurrence of iddingsite is limited to extrusive or subvolcanic...
wikipedia
0ac07715179c3861ca3e48f49cea3a6a8450dda9
iddingsite forms from the weathering of basalt in
iddingsite forms from the weathering of basalt in the presence of liquid water and can be described as a phenocryst, i.e. it has macroscopically visible crystals in a fine-grained groundmass of a porphyritic rock. it is a pseudomorph that has a composition that is constantly transforming from the original olivine, pass...
wikipedia
d822d0ed651d9027702da99326cb54b2f11f6e7b
iddingsite is a microcrystalline rock that is derived
iddingsite is a microcrystalline rock that is derived from alteration of olivine. it is usually studied as a mineral, and consists of a mixture of remnant olivine, clay minerals, iron oxides, and ferrihydrites. debates over iddingsite's non-definite crystal structure caused it to be de-listed as an official mineral by ...
wikipedia
da4a07ff7bbff2669e912f10d2cdf314ba65ab87
karen louise scrivener is a material chemist known
karen louise scrivener is a material chemist known for her pioneering works in cementitious materials. she is the head of laboratory of construction materials at ecole polytechnique fédérale de lausanne and served as the editor-in-chief of the cement and concrete research journal for 15 years.
wikipedia
da48aafa8893ae07d84d8e9d8f2c84accac48974
in 2004, she founded nanocem, a consortium of
in 2004, she founded nanocem, a consortium of 23 academic and 10 industrial partners interested in fundamental research of cement and concrete and still serves as the principal coordinator. in collaboration with the universidad las villas of santa clara, iit delhi, the swiss development and cooperation and many interna...
wikipedia
16154ced6664a34bb2375d9727fa437d61477248
scrivener plays an active role in promoting sustainable
scrivener plays an active role in promoting sustainable cements, in the form of blended cements. she co-authored with vanderley m. john and ellis m. gartner with the support of the unep-sbci (the united nations environment programme - sustainable building and climate initiative), a reference report summarizing the main...
wikipedia
c2cddbe0491166fd74f2ea33c14da4c4ec794f0e
in 2005, she became the editor in chief
in 2005, she became the editor in chief of the peer-reviewed journal cement and concrete research, and has since become a member of its honorary editorial board. karen scrivener was elected fellow of the royal academy of engineering in 2014.
wikipedia
dc4f72a5dbc35fbf85e7afbfbb5a5a974dc37b90
scrivener worked at the imperial college of london
scrivener worked at the imperial college of london in the department of materials science until 1995 as a post-doctoral research assistant, warren research fellow of the royal society and lecturer. in 1995 she decided to leave academia and joined the central research laboratory of lafarge near lyon in france where she ...
wikipedia
834e0a17d797717145d05526a4c7d86922e9c6db
in 1980, she graduated from the cambridge university
in 1980, she graduated from the cambridge university in material sciences. she earned her phd in materials science from the imperial college london in 1983 on the development of microstructure during the hydration of portland cement under the supervision of professor p. l. pratt.
wikipedia
da4a07ff7bbff2669e912f10d2cdf314ba65ab87
karen louise scrivener is a material chemist known
karen louise scrivener is a material chemist known for her pioneering works in cementitious materials. she is the head of laboratory of construction materials at ecole polytechnique fédérale de lausanne and served as the editor-in-chief of the cement and concrete research journal for 15 years.
wikipedia
fc92c7047dca0606d00d99479cb80354394c5e1d
sir joseph henry gilbert was an english chemist,
sir joseph henry gilbert was an english chemist, noteworthy for his long career spent improving the methods of practical agriculture. along with j.b. lawes, he conducted experiments at rothamstead for forty years. one of the key findings of lawes and gilbert was that cereal crops took up nitrogen from the soil, contrar...
wikipedia
ff29226e9484e1ad6dff57ac5956a5dfa912cff8
gilbert was elected a fellow of the royal
gilbert was elected a fellow of the royal society in 1860, and in 1867 was awarded a royal medal jointly with lawes. in 1880 he presided over the chemical section of the british association at its meeting at swansea, and in 1882 he was president of the london chemical society, of which he had been a member almost from ...
wikipedia
cda5fcda92f9c1e51c6c1907437458c8ddb42543
thomson recommended gilbert to lawes who wished to
thomson recommended gilbert to lawes who wished to conduct studies on his estate in rothamstead. gilbert moved there in june 1843 and worked there until his death on 23 december 1901. although much of the work went under both their names, the chemist who conducted most of the meticulous studies was gilbert. the work wh...
wikipedia
33cfd100f32027a2073a663227d15c0942ed2011
gilbert was born at hull, the son of
gilbert was born at hull, the son of clergyman joseph gilbert and ann gilbert. he went to school in nottingham and mansfield but this was interrupted when he lost sight in one eye following a shooting accident. at the age of 24 he entered university studying chemistry first at glasgow under thomas thomson; then at univ...
wikipedia
982fc93dbc698703e3df9cb12bcf8006d1e06cb0
sir joseph henry gilbert frs (1 august 1817
sir joseph henry gilbert frs (1 august 1817 – 23 december 1901) was an english chemist, noteworthy for his long career spent improving the methods of practical agriculture. along with j.b. lawes, he conducted experiments at rothamstead for forty years. one of the key findings of lawes and gilbert was that cereal crops ...
wikipedia
557e39edda369f800169c852bd45d8398a06ceac
lake w. r. holway, or chimney rock lake
lake w. r. holway, or chimney rock lake is a reservoir in mayes county, oklahoma on the saline creek arm of lake hudson (oklahoma). it was created in 1968 by the grand river dam authority (grda) as an integral part of the salina pumped storage project. it is northeast of locust grove and southeast of salina, oklahoma. ...
wikipedia
6c601ca2332ca72039be4d07f540b206192afc00
lake w. r. holway, or chimney rock lake
lake w. r. holway, or chimney rock lake is a reservoir in mayes county, oklahoma on the saline creek arm of lake hudson (oklahoma). it was created in 1968 by the grand river dam authority (grda) as an integral part of the salina pumped storage project. it is northeast of locust grove and southeast of salina, oklahoma. ...
wikipedia
f28dd7435b8e88525125f0475d479d2408dbb27e
given a geometric simplicial complex x and any
given a geometric simplicial complex x and any face σ ∈ x {\textstyle \sigma \in x}, its star st (σ, x) {\textstyle \operatorname {st} (\sigma,x)} is a set containing every face τ ∈ x {\textstyle \tau \in x} such that there is a simplex in x {\textstyle x} having both σ {\textstyle \sigma } and τ {\textstyle \tau } as ...
wikipedia
50a2e260cd139eded9f7e38fe21a180e0d1e2fd1
given an abstract simplicial complex x and any
given an abstract simplicial complex x and any face σ ∈ x {\textstyle \sigma \in x}, v (x) {\textstyle v(x)}, its star st (σ, x) {\textstyle \operatorname {st} (\sigma,x)} is a set containing every face τ ∈ x {\textstyle \tau \in x} such that τ ∪ σ {\textstyle \tau \cup \sigma } is a face of x. in the special case in w...
wikipedia
c682a77c35819f21733f56c429ac6b81a08986f0
the link of a vertex of a tetrahedron
the link of a vertex of a tetrahedron is a triangle – the three vertices of the link corresponds to the three edges incident to the vertex, and the three edges of the link correspond to the faces incident to the vertex. in this example, the link can be visualized by cutting off the vertex with a plane; formally, inters...
wikipedia
d7e982a9e20e0a7332597aebc8231213f84f36ef
given a geometric simplicial complex x and any
given a geometric simplicial complex x and any face σ ∈ x {\textstyle \sigma \in x}, its link lk (σ, x) {\textstyle \operatorname {lk} (\sigma,x)} is a set containing every face τ ∈ x {\textstyle \tau \in x} such that σ, τ {\textstyle \sigma,\tau } are disjoint and there is a simplex in x {\textstyle x} that has both σ...
wikipedia
e06a9e2b3cbb6e622a105b0729270beb8cf3eef8
given an abstract simplicial complex x and any
given an abstract simplicial complex x and any face σ {\textstyle \sigma } of x, its link lk (σ, x) {\textstyle \operatorname {lk} (\sigma,x)} is a set containing every face τ ∈ x {\textstyle \tau \in x} such that σ, τ {\textstyle \sigma,\tau } are disjoint and τ ∪ σ {\textstyle \tau \cup \sigma } is a face of x: lk (σ...
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3bcef2d12c542ca73f93643c31e9c5efb72e94a8
an alternative definition is: the link of a
an alternative definition is: the link of a vertex v ∈ v (x) {\textstyle v\in v(x)} is the graph lk(v, x) constructed as follows. the vertices of lk(v, x) are the edges of x incident to v. two such edges are adjacent in lk(v, x) iff they are incident to a common 2-cell at v.
wikipedia
9186241d6f736288874497f5f26ec85cf237ff00
given a geometric simplicial complex x and v
given a geometric simplicial complex x and v ∈ v (x) {\textstyle v\in v(x)}, its link lk (v, x) {\textstyle \operatorname {lk} (v,x)} is a set containing every face τ ∈ x {\textstyle \tau \in x} such that v ∉ τ {\textstyle v\not \in \tau } and there is a simplex in x {\textstyle x} that has v {\textstyle v} as a vertex...
wikipedia
e3d7b25448049bdf8165faa0b14e9abe472e8f06
given an abstract simplicial complex x and v
given an abstract simplicial complex x and v {\textstyle v} a vertex in v (x) {\textstyle v(x)}, its link lk (v, x) {\textstyle \operatorname {lk} (v,x)} is a set containing every face τ ∈ x {\textstyle \tau \in x} such that v ∉ τ {\textstyle v\not \in \tau } and τ ∪ { v } {\textstyle \tau \cup \{v\}} is a face of x.
wikipedia
c57c5dd86af7c7ed6a764261e9918ac39041127f
in mathematics, a locally profinite group is a
in mathematics, a locally profinite group is a hausdorff topological group in which every neighborhood of the identity element contains a compact open subgroup. equivalently, a locally profinite group is a topological group that is hausdorff, locally compact, and totally disconnected. moreover, a locally profinite grou...
wikipedia
d0255a0485cc340215a574a5d5cd4df9801f0fb2
thus, we have the functor ρ ↦ ρ
thus, we have the functor ρ ↦ ρ {\displaystyle \rho \mapsto \rho } from the category of smooth representations of g {\displaystyle g} to the category of non-degenerate h (g) {\displaystyle {\mathfrak {h}}(g)} -modules. here, "non-degenerate" means ρ (h (g)) v = v {\displaystyle \rho ({\mathfrak {h}}(g))v=v}. then the f...
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a8e7afbc78778f046e7e5e72b09e65da3f2fa0af
c c ∞ (g) {\displaystyle c_{c}^{\infty }(g)} becomes
c c ∞ (g) {\displaystyle c_{c}^{\infty }(g)} becomes not necessarily unital associative c {\displaystyle \mathbb {c} } -algebra. it is called the hecke algebra of g and is denoted by h (g) {\displaystyle {\mathfrak {h}}(g)}. the algebra plays an important role in the study of smooth representations of locally profinite...
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2bbbf2c97a8f50e97d798612abeed50046ea761c
let g {\displaystyle g} be a unimodular locally
let g {\displaystyle g} be a unimodular locally profinite group such that g / k {\displaystyle g/k} is at most countable for all open compact subgroups k, and μ {\displaystyle \mu } a left haar measure on g {\displaystyle g}. let c c ∞ (g) {\displaystyle c_{c}^{\infty }(g)} denote the space of locally constant function...
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97470b8cbeffa82f43b94a1b69d1bc815a57c38d
the countability assumption at the beginning is really
the countability assumption at the beginning is really necessary, for there exists a locally profinite group that admits an irreducible smooth representation ρ {\displaystyle \rho } such that ρ ~ {\displaystyle {\widetilde {\rho }}} is not irreducible.
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fe8a1268f13dedccce45b5c0635795cdbaf6a599
the dual space v ∗ {\displaystyle v^{*}} carries
the dual space v ∗ {\displaystyle v^{*}} carries the action ρ ∗ {\displaystyle \rho ^{*}} of g given by ⟨ ρ ∗ (g) α, v ⟩ = ⟨ α, ρ ∗ (g − 1) v ⟩ {\displaystyle \left\langle \rho ^{*}(g)\alpha,v\right\rangle =\left\langle \alpha,\rho ^{*}(g^{-1})v\right\rangle }. in general, ρ ∗ {\displaystyle \rho ^{*}} is not smooth. t...
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e0dd4b224aa8208ad5ed34172e714497d3ee7b79
let (ρ, v) {\displaystyle (\rho,v)} be a complex
let (ρ, v) {\displaystyle (\rho,v)} be a complex representation of g. ρ {\displaystyle \rho } is said to be smooth if v is a union of v k {\displaystyle v^{k}} where k runs over all open compact subgroups k. ρ {\displaystyle \rho } is said to be admissible if it is smooth and v k {\displaystyle v^{k}} is finite-dimensi...
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c36239a55de55df4bbe546f1ad774d9010510d93
let g be a locally profinite group. then
let g be a locally profinite group. then a group homomorphism ψ: g → c × {\displaystyle \psi:g\to \mathbb {c} ^{\times }} is continuous if and only if it has open kernel.
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a1ec7058010ffb68dfee404582314d02605637d7
important examples of locally profinite groups come from
important examples of locally profinite groups come from algebraic number theory. let f be a non-archimedean local field. then both f and f × {\displaystyle f^{\times }} are locally profinite. more generally, the matrix ring m n (f) {\displaystyle \operatorname {m} _{n}(f)} and the general linear group gl n (f) {\displ...
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44d5e36674344ebaf0c37be520722efabf02d551
in mathematics, a locally profinite group is a
in mathematics, a locally profinite group is a hausdorff topological group in which every neighborhood of the identity element contains a compact open subgroup. equivalently, a locally profinite group is a topological group that is hausdorff, locally compact, and totally disconnected. moreover, a locally profinite grou...
wikipedia
9847ccb8a3412bdc7a4fbb18cdd16dc94f5c30be
goodrich currently has 42 publications on research relative
goodrich currently has 42 publications on research relative to the sensory system and neurobiology. among them are her articles on "morphological and physiological development of auditory synapses," "gata3 is a critical regulator of cochlear wiring," and "deaf and dizzy mice: a genetic dissection of inner ear developme...
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152535e2ffbb212de0669066425c6e53fd591d91
in her laboratory, her group studies the cellular
in her laboratory, her group studies the cellular and molecular mechanisms that impact the development of neural circuits. the stages of development being studied are determination, differentiation, how axonal connections are formed, and generation of behavior. her research program focuses on detecting genes necessary ...
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b0851a5218b621212a51fe201e5f2c9a4bb41ed4
after spending a year at university college dublin,
after spending a year at university college dublin, she completed her ph.d program in neuroscience at stanford university in 1998. she then did a postdoctoral fellowship under marc tessier-lavigne at the university of california, san francisco. there, she cultivated a particular interest in the auditory system and util...
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4edab62e5bc9cdd9157d62a7dd406e7ecc410c42
lisa vaughn goodrich was born on march 15,
lisa vaughn goodrich was born on march 15, 1969, in washington, dc, daughter of robert lindner goodrich and nancy nicholes goodrich. when she was three years old, her family moved to carlisle, massachusetts, and in 1978 moved to concord, massachusetts. she graduated in 1987 from concord carlisle high school. she then a...
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458895626b14c164ac9b3a338847cb4ca0393f0c
coutinho started his footballing career with the mumbai
coutinho started his footballing career with the mumbai fc u19 team in 2008. in 2009 coutinho started becoming a part in the mumbai fc u19 squad that played in the mumbai super division which included a winning goal against air india u19s in the super-six round on 18 february 2009. coutinho then made his debut for the ...
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2992a3d48fa5214eedfa4a2dabf8d5c195a1f361
janet gretchen osteryoung was an american chemist who
janet gretchen osteryoung was an american chemist who was the director of the chemistry division of the national science foundation from 1994 to 2001. her research furthered the development of electroanalysis and especially that of square wave voltammetry. she was elected a fellow of the american association for the ad...
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f1463a0f2ec7346e53d3c691c96418e8352eedf0
janet jones was once married to robert osteryoung,
janet jones was once married to robert osteryoung, who was also an award-winning chemist. in april 2010, she married chris cobb in washington, d.c. together, jones and cobb established the comis foundation, a family philanthropic foundation to benefit children and youth.
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b6621fe11601517a45944a67b70527ae2e7e0055
osteryoung moved to north carolina state university in
osteryoung moved to north carolina state university in 1992, where she served as head of department for two years. in 1994, she returned to the national science foundation, where she was made director of the division of chemistry. she was the first woman to win the jacob f. schoellkopf medal in 1992.
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2d153b23dfe6000ad2464623ca54f1e0338aeb13
osteryoung was made associate professor at the state
osteryoung was made associate professor at the state university of new york at buffalo in 1979 and professor in 1982. in 1985 osteryoung was awarded a guggenheim fellowship and spent a year at the university of southampton, where she investigated the fundamentals of solid electrodes.
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c74bc4c3e45c17f0b33f8d9021dbd76b368d7bdf
osteryoung was appointed to the faculty at montana
osteryoung was appointed to the faculty at montana state university in 1967. she moved to colorado state university a year later, where she worked in the departments of civil engineering and microbiology. in 1977, osteryoung moved to the national science foundation, where she was the program director for chemical analy...
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cb8f38457bab661af8de20bc13a1422df3a79797
janet gretchen jones was born in pittsburgh, pennsylvania,
janet gretchen jones was born in pittsburgh, pennsylvania, and grew up in vero beach, florida. she was an undergraduate student at swarthmore college, where she was a merit scholar. jones was a graduate student at california institute of technology, where she worked alongside fred anson on ligand bridging in charge tra...
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1f91ea0d38eecb7a90881773dfa28ee6d2783437
janet gretchen osteryoung (march 1, 1939 – september
janet gretchen osteryoung (march 1, 1939 – september 21, 2021) was an american chemist who was the director of the chemistry division of the national science foundation from 1994 to 2001. her research furthered the development of electroanalysis and especially that of square wave voltammetry. she was elected a fellow o...
wikipedia