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cc5420bc23b94475677b956567431676c6522d85
in december 2011, a rotational lightcurve of kalchas
in december 2011, a rotational lightcurve of kalchas was obtained by robert stephens at gmars (g79) in california. lightcurve analysis gave a well-defined rotation period of 29.2 ± 0.1 hours with a brightness variation of 0.40 magnitude (u=3). in july and august 2015, photometric observations by the kepler space observ...
wikipedia
10a708d045c6b1f49ead937322b42df1d74c5a8a
this minor planet was named from greek mythology
this minor planet was named from greek mythology after calchas, a greek prophet during the trojan war. the official naming citation was published by the minor planet center on 11 march 1990 (m.p.c. 16043).
wikipedia
f82a6d0ab8e70b7debd7682712fd62aa21b5756a
however this family is not included in david
however this family is not included in david nesvorný ' s hcm-analysis from 2014. instead, kalchas is listed as a non-family asteroid of the jovian background population on the asteroids dynamic site (astdys) which based on another analysis by milani and knežević.
wikipedia
2e5e7ead92193bfb05997c8ec920ed29efa9fc54
fernando roig and ricardo gil-hutton identified kalchas as
fernando roig and ricardo gil-hutton identified kalchas as the principal body of a small jovian asteroid family, using the hierarchical clustering method (hcm), which looks for groupings of neighboring asteroids based on the smallest distances between them in the proper orbital element space. according to the astronome...
wikipedia
979c02edf041101b384488dd3caba84a3c413157
while the discovery date aligns with the second
while the discovery date aligns with the second palomar–leiden trojan survey, kalchas did not receive a "t-2" prefixed survey designation, which was assigned for the discoveries made by the fruitful collaboration between the palomar and leiden observatories in the 1960s and 1970s. gehrels used palomar's samuel oschin t...
wikipedia
25867eee5426a8559b7a88eb653bf39df8ec235f
kalchas is a dark jovian asteroid in a
kalchas is a dark jovian asteroid in a 1:1 orbital resonance with jupiter. it is located in the leading greek camp at the gas giant's l lagrangian point, 60 ° ahead of its orbit. it orbits the sun at a distance of 4.9–5.4 au once every 11 years and 9 months (4,286 days; semi-major axis of 5.16 au). its orbit has an ecc...
wikipedia
2889a8b6c4e4b36cd33e3f2fadb4312478a6fbe4
4138 kalchas / ˈ k æ l k
4138 kalchas / ˈ k æ l k ə s / is a large jupiter trojan from the greek camp, approximately 53 kilometers (33 miles) in diameter. it was discovered on 19 september 1973, by dutch astronomers ingrid and cornelis van houten at leiden, on photographic plates taken by tom gehrels at the palomar observatory in california. t...
wikipedia
4abcc2d1c87bd54eff9b8eb2407cecb5125b4dfa
6-chloro-mdma is a derivative of the amphetamine drug
6-chloro-mdma is a derivative of the amphetamine drug mdma, which has been identified both in seized "ecstasy" tablets and in urine samples from drug users. it is thought most likely to be an impurity from synthesis and its pharmacological properties have not been established; however, it has been banned in several cou...
wikipedia
a80ff3a8ccd52ac8a23ac4f324d8b09be9f12de3
6-chloro-mdma (6-cl-mdma, 2-cl-4,5-mdma) is a derivative of the
6-chloro-mdma (6-cl-mdma, 2-cl-4,5-mdma) is a derivative of the amphetamine drug mdma, which has been identified both in seized "ecstasy" tablets and in urine samples from drug users. it is thought most likely to be an impurity from synthesis and its pharmacological properties have not been established; however, it has...
wikipedia
a621886a18093ef3fb37bd4cce9c225370600baa
abdolmajid mahdavi damghani is an iranian agroecologist and
abdolmajid mahdavi damghani is an iranian agroecologist and associate professor at shahid beheshti university. his book sustainable production of agricultural products was praised in the ceremony for the iran book of the year award.
wikipedia
381902aa72ff5eaa4fc2c05a5d9ed5d0231d113b
abdolmajid mahdavi damghani (persian: عبدالمجید مهدوی دامغانی) is
abdolmajid mahdavi damghani (persian: عبدالمجید مهدوی دامغانی) is an iranian agroecologist and associate professor at shahid beheshti university. his book sustainable production of agricultural products was praised in the ceremony for the iran book of the year award.
wikipedia
7fcade35bc79d4db6f119372fdda1983fdec74c2
3d reconstruction from multiple images is the creation
3d reconstruction from multiple images is the creation of three-dimensional models from a set of images. it is the reverse process of obtaining 2d images from 3d scenes. the essence of an image is a projection from a 3d scene onto a 2d plane, during which process the depth is lost. the 3d point corresponding to a speci...
wikipedia
aad1f70843bf11e31776ddf13660bdb537967675
surface rendering visualizes a 3d object as a
surface rendering visualizes a 3d object as a set of surfaces called iso-surfaces. each surface has points with the same intensity (called an iso-value). this technique is usually applied to high contrast data, and helps to illustrate separated structures; for instance, the skull can be created from slices of the head,...
wikipedia
28129461bd2ec9a49156eed1d7b060fd6a91e395
in nscc algorithm, the preliminary step is calculation
in nscc algorithm, the preliminary step is calculation of an initial solution. firstly anatomical regions from the generic object are defined. secondly, manual 2d contours identification on the radiographs is performed. from each radiograph 2d contours are generated using the 3d initial solution object. 3d contours of ...
wikipedia
873d30a2bdaec504325fe91bc8a817be864edc0c
this method is simple and implemented by identifying
this method is simple and implemented by identifying the points manually in multi-view radiographs. the first step is to extract the corresponding points in two x-ray images. the second step is to reconstruct the image in three dimensions using algorithms like discrete linear transform (dlt). the reconstruction is only...
wikipedia
aa05cfa3b8ad39fc4a8cb903641a20ef6a500261
to reconstruct 3-d images from 2-d images taken
to reconstruct 3-d images from 2-d images taken by a camera at multiple angles. medical imaging techniques like ct scanning and mri are expensive, and although ct scans are accurate, they can induce high radiation doses which is a risk for patients with certain diseases. methods based on mri are not accurate. since we ...
wikipedia
0d94acaa199c0c06533718f6c7f6903864360293
all the linear algorithms (dlt and others) we
all the linear algorithms (dlt and others) we have seen so far minimize an algebraic error. actually, there is no justification in minimizing an algebraic error apart from the ease of implementation, as it results in a linear problem. the minimization of a geometric error is often a non-linear problem, that admit only ...
wikipedia
b56438ea61ece72453e764e752f73e8a29f8aa57
in general, if ||ax|| can be considered as
in general, if ||ax|| can be considered as a distance between the geometrical entities (points, lines, planes, etc.), then what is being minimized is a geometric error, otherwise (when the error lacks a good geometrical interpretation) it is called an algebraic error.
wikipedia
5fabaff30066a622d36b96a2e512ba53faa8d66e
by mapping the projective reconstruction to one that
by mapping the projective reconstruction to one that satisfies a group of redundant euclidean constraints, we can find a projective transformation h in equation (2).the equations are highly nonlinear and a good initial guess for the structure is required. this can be obtained by assuming a linear projection - parallel ...
wikipedia
58f4a9f64ecf4e04dbdb79c6ef785b0ccd6336f7
we can also use prior constraints on the
we can also use prior constraints on the camera motion. by analyzing different images of the same point can obtain a line in the direction of motion. the intersection of several lines is the point at infinity in the motion direction, and one constraint on the affine structure.
wikipedia
8e3e7ed1ef30e02004284944fdeeda1e5f90c8f5
see affine space for more detailed information about
see affine space for more detailed information about computing the location of the plane at infinity Π ∞ {\displaystyle {\pi }_{\infty }}. the simplest way is to exploit prior knowledge, for example the information that lines in the scene are parallel or that a point is the one thirds between two others.
wikipedia
68800f6b129da38bee67758089467b929830113c
so we can apply a nonsingular 4 ×
so we can apply a nonsingular 4 × 4 transformation h to projections p j {\displaystyle p_{j}} → p j h − 1 {\displaystyle p_{j}h^{-1}} and world points a i {\displaystyle a_{i}} → h a i {\displaystyle ha_{i}}. hence, without further constraints, reconstruction is only an unknown projective deformation of the 3d world.
wikipedia
43200584c83b97d240badca98363a409f4160bbf
simple counting indicates we have 2 n m
simple counting indicates we have 2 n m {\displaystyle 2nm} independent measurements and only 11 m + 3 n {\displaystyle 11m+3n} unknowns, so the problem is supposed to be soluble with enough points and images. the equations in homogeneous coordinates can be represented:
wikipedia
455a67ee5ec897bc299b016693f59b36d8533c12
suppose that a fixed scene is captured by
suppose that a fixed scene is captured by two or more perspective cameras and the correspondences between visible points in different images are already given. however, in practice, the matching is an essential and extremely challenging issue in computer vision. here, we suppose that n {\displaystyle n} 3d points a i {...
wikipedia
60cc3154baba4885505afc77887cdc365afbc10b
usually, the world is perceived as a 3d
usually, the world is perceived as a 3d euclidean space. in some cases, it is not possible to use the full euclidean structure of 3d space. the simplest being projective, then the affine geometry which forms the intermediate layers and finally euclidean geometry. the concept of stratification is closely related to the ...
wikipedia
7c5c4bf21147988719230afb296b0fd981c6afd1
recently, new methods based on the concept of
recently, new methods based on the concept of stratification have been proposed. starting from a projective structure, which can be calculated from correspondences only, upgrade this projective reconstruction to a euclidean reconstruction, by making use of all the available constraints. with this idea the problem can b...
wikipedia
0d8fdcb84e7d6a81faaac2b5c268f64477634e62
this method is based on the use of
this method is based on the use of rigidity constraint. design a cost function, which considers the intrinsic parameters as arguments and the fundamental matrices as parameters. f i j {\displaystyle {f}_{ij}} is defined as the fundamental matrix, a i {\displaystyle {a}_{i}} and a j {\displaystyle {a}_{j}} as intrinsic ...
wikipedia
92baea64e44c58c25669aac2fdc398d7eee03fd4
the matrix k = a a ⊤ {\displaystyle
the matrix k = a a ⊤ {\displaystyle k=aa^{\top }} is unknown in the kruppa equations, named kruppa coefficients matrix. with k and by the method of cholesky factorization one can obtain the intrinsic parameters easily:
wikipedia
a197a374613b086116ded611732f1300948f6e6b
generally, without further restrictions, we will obtain a
generally, without further restrictions, we will obtain a projective reconstruction. if { p i } {\displaystyle \{p^{i}\}} and { w j } {\displaystyle \{w_{j}\}} satisfy (1), { p i t } {\displaystyle \{p^{i}t\}} and { t − 1 w j } {\displaystyle \{t^{-1}w_{j}\}} will satisfy (1) with any 4 × 4 nonsingular matrix t.
wikipedia
6689a011cefd3072a9f9afc3c39a978b0b665838
given a group of 3d points viewed by
given a group of 3d points viewed by n cameras with matrices { p i } i = 1 … n {\displaystyle \{p^{i}\}_{i=1\ldots n}}, define m j i ≃ p i w j {\displaystyle m_{j}^{i}\simeq p^{i}w_{j}} to be the homogeneous coordinates of the projection of the j t h {\displaystyle j^{th}} point onto the i t h {\displaystyle i^{th}} ca...
wikipedia
abd626ef8707e2c61b0896e5dea8d27ef77a68f4
by the stage of material application you have
by the stage of material application you have a complete 3d mesh, which may be the final goal, but usually you will want to apply the color from the original photographs to the mesh. this can range from projecting the images onto the mesh randomly, through approaches of combining the textures for super resolution and f...
wikipedia
118bafa230905d1592def91dc69b9e31430a71dc
once you have the multiple depth maps you
once you have the multiple depth maps you have to combine them to create a final mesh by calculating depth and projecting out of the camera – registration. camera calibration will be used to identify where the many meshes created by depth maps can be combined to develop a larger one, providing more than one view for ob...
wikipedia
415b4fbb2a6a80283440b03cc682cefacc4d9a5c
depth determination serves as the most challenging part
depth determination serves as the most challenging part in the whole process, as it calculates the 3d component missing from any given image – depth. the correspondence problem, finding matches between two images so the position of the matched elements can then be triangulated in 3d space is the key issue here.
wikipedia
1cced0a41aa01c1eb8da1497350d79b529d1295a
in recent decades, there is an important demand
in recent decades, there is an important demand for 3d content for computer graphics, virtual reality and communication, triggering a change in emphasis for the requirements. many existing systems for constructing 3d models are built around specialized hardware (e.g. stereo rigs) resulting in a high cost, which cannot ...
wikipedia
f56b82fe54638c82bfee79b08753df7ce99290a4
the essence of an image is a projection
the essence of an image is a projection from a 3d scene onto a 2d plane, during which process the depth is lost. the 3d point corresponding to a specific image point is constrained to be on the line of sight. from a single image, it is impossible to determine which point on this line corresponds to the image point. if ...
wikipedia
ae7b0bb358c1721f69469487e84d5335ab627c66
in chemistry, abegg's rule states that the difference
in chemistry, abegg's rule states that the difference between the maximum positive and negative valence of an element is frequently eight. the rule used a historic meaning of valence which resembles the modern concept of oxidation state in which an atom is an electron donor or receiver. abegg's rule is sometimes referr...
wikipedia
b2a28499b2a9ecd7ebbca053c95778e463246cde
the concept was formulated in 1904 by german
the concept was formulated in 1904 by german chemist richard abegg. gilbert n. lewis was one of the first to refer to the concept as "abegg's rule" when he used it as a basis of argument in a 1916 article to develop his cubical atom theory, which developed into the octet rule. that article helped inspire linus pauling ...
wikipedia
6ee2033ec3a8c656463df53573513e977f04876e
in general, for a given chemical element (as
in general, for a given chemical element (as sulfur) abegg's rule states that the sum of the absolute value of its negative valence (such as −2 for sulfur in h s and its positive valence of maximum value (as +6 for sulfur in h so) is often equal to 8.
wikipedia
380f92c448088c9002d4b7708cfb7c481f62950f
in chemistry, abegg's rule states that the difference
in chemistry, abegg's rule states that the difference between the maximum positive and negative valence of an element is frequently eight. the rule used a historic meaning of valence which resembles the modern concept of oxidation state in which an atom is an electron donor or receiver. abegg's rule is sometimes referr...
wikipedia
f1b3e349b80732a1ace98b4b3317b2d7bc5469fa
the 2015–16 season was udinese calcio's 36th season
the 2015–16 season was udinese calcio's 36th season in serie a and their 21st consecutive season in the top-flight. having missed out on european football for the second consecutive season, udinese competed only in serie a and in the coppa italia. udinese finished 17th in the league following a poor season, and were el...
wikipedia
176796f2b1820cbeb0940ceb8dfd071132e54dfb
the 2015–16 season was udinese calcio ' s
the 2015–16 season was udinese calcio ' s 36th season in serie a and their 21st consecutive season in the top-flight. having missed out on european football for the second consecutive season, udinese competed only in serie a and in the coppa italia. udinese finished 17th in the league following a poor season, and were ...
wikipedia
4336272052485bfb1bc7185b3307c17eda3fd953
the altenberg bobsleigh, luge, and skeleton track is
the altenberg bobsleigh, luge, and skeleton track is a venue in germany for bobsleigh, luge, and skeleton. located in saxony in eastern germany, it is northwest of altenberg, near the border with the czech republic.
wikipedia
245e92bf55424c574d1a46edc53e52a55864bc5c
the vertical drop is 122.22 metres (401 ft)
the vertical drop is 122.22 metres (401 ft) from the bobsleigh start, with a maximum grade of 15% and an average grade of 8.66%. the elevation at the base is 660 m (2,165 ft) above sea level.
wikipedia
3288c13602e3c686555f6bdd5ec5af03ac460624
the track is powered by four refrigeration condensers
the track is powered by four refrigeration condensers each with a 200 kw (268 hp) capacity which combined can keep the track frozen at ambient conditions up to 20 °c (68 °f). its storage tanks hold up to 45 metric tons (50 short tons) of ammonia, generating the equivalent of 12,000 household refrigerators. there a tota...
wikipedia
da10913c50654bdd93aedbc8a6077a3a05560edb
over the weekend of 1–3 february 2008, the
over the weekend of 1–3 february 2008, the track hosted the 200th fil luge world cup event, which began in december 1977. the track was awarded the 2012 fil world luge championships at the 2008 fil congress in calgary, canada, on 28 june of that year, following whistler 's bid withdrawal. refurbishment of the track for...
wikipedia
a9ceea5ac9d839f924b1a2824900aa66b18cce9d
in 1997, the women's single luge start house
in 1997, the women's single luge start house was created before turn three after being shared with the men's double luge start house before turn seven from 1989 to 1996. women's skeleton first began competition in 1999 while women's bobsleigh first started the following year. an 18th curve was modified during the summe...
wikipedia
692f84122b4ae0d905486376dcd58ee5ce445ca8
construction began in 1981 under restrictive access with
construction began in 1981 under restrictive access with a wire fence and armed patrols from the landstreitkräfte (east german national people's army) on orders from mielke. by 1983, construction was completed though trials were less than successful. this would result in turns 11 and 12 being destroyed and rebuilt. it ...
wikipedia
8e0e910e0035490490795d2fa287e881e74eb155
altenberg raced bobsleigh as early as 1908 on
altenberg raced bobsleigh as early as 1908 on a natural track going downhill. by the late 1970s, the east germans were already successful in luge, and had increasing success in bobsleigh. this included a total of six winter olympic medals in bobsleigh in 1976 and 1980, along with five world bobsleigh championship medal...
wikipedia
4336272052485bfb1bc7185b3307c17eda3fd953
the altenberg bobsleigh, luge, and skeleton track is
the altenberg bobsleigh, luge, and skeleton track is a venue in germany for bobsleigh, luge, and skeleton. located in saxony in eastern germany, it is northwest of altenberg, near the border with the czech republic.
wikipedia
242f0b98a4c078e3bb101c30232f849f998d59ca
4340 dence, provisional designation 1986 jz, is a
4340 dence, provisional designation 1986 jz, is a background or phocaea asteroid from the inner regions of the asteroid belt, approximately 8 kilometers in diameter. it was discovered on 4 may 1986, by american astronomer carolyn shoemaker at the palomar observatory in california. the s-type asteroid has a rotation per...
wikipedia
9ad0dff302653a1ba1f1a0dec9e1ccfbc15c367d
this minor planet was named after canadian geologist
this minor planet was named after canadian geologist michael r. dence executive director of the royal society of canada. he was a pioneer in the geologic investigation of ancient impact craters on the canadian shield (also see sudbury basin and manicouagan reservoir). the official naming citation was published by the m...
wikipedia
7801373393091b4623cb9aca4dd709c84ba904ca
according to the survey carried out by the
according to the survey carried out by the neowise mission of nasa's wide-field infrared survey explorer, dence measures 8.110 kilometers in diameter and its surface has an albedo of 0.155, while the collaborative asteroid lightcurve link assumes an albedo of 0.23 – derived from 25 phocaea, the parent body of the phoca...
wikipedia
5b45ef046bc1827bf3e41b2e2fa0b0441f6bbefe
since 2008, several rotational lightcurves of dence have
since 2008, several rotational lightcurves of dence have been obtained from photometric observations by czech astronomer petr pravec and by maurice clark at the observatory of the montgomery college in maryland, united states (u=3-/1/2/2). analysis of the best-rated lightcurve gave a rotation period of 7.546 hours with...
wikipedia
32ea208ccf1c49bf87339da9cf6546f8fdd9090c
dence is a non- family asteroid of the
dence is a non- family asteroid of the main belt's background population when applying the hierarchical clustering method to its proper orbital elements. based on osculating keplerian orbital elements, the asteroid has also been classified as a member of the stony phocaea family (701). it orbits the sun in the inner as...
wikipedia
d007918c809dae7d9519f57177cf7fe20eee79ff
4340 dence, provisional designation 1986 jz, is a
4340 dence, provisional designation 1986 jz, is a background or phocaea asteroid from the inner regions of the asteroid belt, approximately 8 kilometers (5 miles) in diameter. it was discovered on 4 may 1986, by american astronomer carolyn shoemaker at the palomar observatory in california. the s-type asteroid has a ro...
wikipedia
27521e8e9af2e6013bf1e2755ea5a5776c6426eb
7959 alysecherri, provisional designation 1994 pk, is a
7959 alysecherri, provisional designation 1994 pk, is a bright, stony hungaria asteroid from the inner regions of the asteroid belt, approximately 3 kilometers in diameter. it was discovered on 2 august 1994, by american astronomer carl hergenrother at steward observatory's catalina station on mt bigelow near tucson, a...
wikipedia
16975dec1205294cf7b13dd3323d517f1e00f60f
this minor planet is named after the maiden
this minor planet is named after the maiden name of the discovering astronomer's wife, alyse cherri smith. the official naming citation was published by the minor planet center on 13 november 2008 (m.p.c. 64311).
wikipedia
71545d9aa9834e0424d94c6f5ca6f51755c910eb
a rotational lightcurve for this asteroid was obtained
a rotational lightcurve for this asteroid was obtained from photometric observations made by american astronomer brian warner at the u.s. palmer divide observatory, colorado, in july 2013. it gave a rotation period of 3.161 ± 0.005 hours with a brightness amplitude of 0.13 in magnitude (u=2). the collaborative asteroid...
wikipedia
8960169b04753a2a1fb1ba0deb8426393a66a71b
the e-type asteroid is a member of the
the e-type asteroid is a member of the hungaria family, which form the innermost dense concentration of asteroids in the solar system. it orbits the sun in the inner main-belt at a distance of 1.8–2.1 au once every 2 years and 9 months (989 days). its orbit has an eccentricity of 0.09 and an inclination of 19 ° with re...
wikipedia
27521e8e9af2e6013bf1e2755ea5a5776c6426eb
7959 alysecherri, provisional designation 1994 pk, is a
7959 alysecherri, provisional designation 1994 pk, is a bright, stony hungaria asteroid from the inner regions of the asteroid belt, approximately 3 kilometers in diameter. it was discovered on 2 august 1994, by american astronomer carl hergenrother at steward observatory's catalina station on mt bigelow near tucson, a...
wikipedia
8237e0ea9761560908d712ca83948deb616b8875
antony "tony" oliver ward stretton is a neuroscientist,
antony "tony" oliver ward stretton is a neuroscientist, faculty member of the neuroscience training program, and the john bascom professor of zoology at the university of wisconsin–madison. he is married to fellow scientist, philippa claude, daughter of albert claude. stretton worked with vernon m. ingram first in the ...
wikipedia
4b43032b2972b085677032e986e0502dc5024aa8
stretton worked with vernon m. ingram first in
stretton worked with vernon m. ingram first in the united kingdom at the cavendish laboratory of the university of cambridge then in the united states at the massachusetts institute of technology as well as with edward a. kravitz at the medical school of harvard university. he has also done research at the marine biolo...
wikipedia
4eb2633435a9192bb004a9ee1a10cebca2af700d
antony "tony" oliver ward stretton is a neuroscientist,
antony "tony" oliver ward stretton is a neuroscientist, faculty member of the neuroscience training program, and the john bascom professor of zoology at the university of wisconsin–madison. he is married to fellow scientist, philippa claude, daughter of albert claude.
wikipedia
677a050d7517d4bbd3f908a4a597faed9273278c
the 2019-20 clarkson golden knights men's ice hockey
the 2019-20 clarkson golden knights men's ice hockey season was the 98th season of play for the program and the 59th season in the ecac hockey conference. the golden knights represented the clarkson university and played their home games at cheel arena, and were coached by casey jones, in his 9th season. on march 12, e...
wikipedia
8d24579fb4b90ebd7f23e0335157d3bb54cecb92
the 2019-20 clarkson golden knights men's ice hockey
the 2019-20 clarkson golden knights men's ice hockey season was the 98th season of play for the program and the 59th season in the ecac hockey conference. the golden knights represented the clarkson university and played their home games at cheel arena, and were coached by casey jones, in his 9th season.
wikipedia
6ea318815f091159ec1eefca7ed5f6fc1799af25
in statistical physics, the bbgky hierarchy (bogoliubov–born–green–kirkwood–yvon hierarchy,
in statistical physics, the bbgky hierarchy (bogoliubov–born–green–kirkwood–yvon hierarchy, sometimes called bogoliubov hierarchy) is a set of equations describing the dynamics of a system of a large number of interacting particles. the equation for an s-particle distribution function (probability density function) in ...
wikipedia
4bedab4d4a825a6aa9ef5867b4e01b3438bb38c7
the problem of solving the bbgky hierarchy of
the problem of solving the bbgky hierarchy of equations is as hard as solving the original liouville equation, but approximations for the bbgky hierarchy (which allow truncation of the chain into a finite system of equations) can readily be made. the merit of these equations is that the higher distribution functions f ...
wikipedia
db68631bbbf3bd0f50ad3b20ba38ecd3ccfa7480
schematically, the liouville equation gives us the time
schematically, the liouville equation gives us the time evolution for the whole n {\displaystyle n} -particle system in the form d f n = 0 {\displaystyle df_{n}=0}, which expresses an incompressible flow of the probability density in phase space. we then define the reduced distribution functions incrementally by integr...
wikipedia
1475e838972a6c80149ab269dc0437acfaef680b
the equation above for s -particle distribution function
the equation above for s -particle distribution function is obtained by integration of the liouville equation over the variables q s + 1 … q n, p s + 1 … p n {\displaystyle \mathbf {q} _{s+1}\dots \mathbf {q} _{n},\mathbf {p} _{s+1}\dots \mathbf {p} _{n}}. the problem with the above equation is that it is not closed. t...
wikipedia
ae1320e8812b69c18fa90fa99c2b22c5ac22f1db
where Φ i j (q i, q j)
where Φ i j (q i, q j) {\displaystyle \phi _{ij}(\mathbf {q} _{i},\mathbf {q} _{j})} is the pair potential for interaction between particles, and Φ ext (q i) {\displaystyle \phi ^{\text{ext}}(\mathbf {q} _{i})} is the external-field potential. by integration over part of the variables, the liouville equation can be tra...
wikipedia
83d343bece11e3033a4cab0c31dcb311a5faca63
where q i, p i {\displaystyle \mathbf {q}
where q i, p i {\displaystyle \mathbf {q} _{i},\mathbf {p} _{i}} are the coordinates and momentum for i {\displaystyle i} -th particle with mass m {\displaystyle m}, and the net force acting on the i {\displaystyle i} -th particle is
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df46be733cd31ff95e2c8718784f897875159a4f
the evolution of an n -particle system in
the evolution of an n -particle system in absence of quantum fluctuations is given by the liouville equation for the probability density function f n = f n (q 1 … q n, p 1 … p n, t) {\displaystyle f_{n}=f_{n}(\mathbf {q} _{1}\dots \mathbf {q} _{n},\mathbf {p} _{1}\dots \mathbf {p} _{n},t)} in 6 n -dimensional phase spa...
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in statistical physics, the bbgky hierarchy (bogoliubov–born–green–kirkwood–yvon hierarchy,
in statistical physics, the bbgky hierarchy (bogoliubov–born–green–kirkwood–yvon hierarchy, sometimes called bogoliubov hierarchy) is a set of equations describing the dynamics of a system of a large number of interacting particles. the equation for an s -particle distribution function (probability density function) in...
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2732 witt, provisional designation 1926 fg, is a
2732 witt, provisional designation 1926 fg, is a bright asteroid and namesake of the witt family located in the central regions of the asteroid belt, approximately 11 kilometers in diameter. it was discovered on 19 march 1926, by german astronomer max wolf at the heidelberg-königstuhl state observatory in heidelberg, g...
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this minor planet was named by brian g.
this minor planet was named by brian g. marsden after carl gustav witt (1866–1946), a german astronomer at the berlin observatory and a discoverer of minor planets himself, best known for the discovery of the near-earth asteroid 433 eros. the official naming citation was published by the minor planet center on 22 septe...
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2ac7ce41a11e2acbf4b475471f95250f0cfa8e01
it orbits the sun in the central main-belt
it orbits the sun in the central main-belt at a distance of 2.7–2.8 au once every 4 years and 7 months (1,675 days; semi-major axis of 2.76 au). its orbit has an eccentricity of 0.02 and an inclination of 6 ° with respect to the ecliptic. the body's observation arc begins at heidelberg in april 1926, two week after its...
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2732 witt, provisional designation 1926 fg, is a
2732 witt, provisional designation 1926 fg, is a bright asteroid and namesake of the witt family located in the central regions of the asteroid belt, approximately 11 kilometers (7 miles) in diameter. it was discovered on 19 march 1926, by german astronomer max wolf at the heidelberg-königstuhl state observatory in hei...
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ai-ling lee is a singaporean sound editor, re-recording
ai-ling lee is a singaporean sound editor, re-recording mixer and audio engineer working in los angeles, california. her works on films, bruce almighty (2003), spider-man 2 (2004), mr. & mrs. smith (2005), the twilight saga: new moon (2009), tangled (2010), transformers: dark of the moon (2011), 300: rise of an empire ...
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58e1192f5575549f8c13d5df59369297d9ac8309
ai-ling lee is a singaporean sound editor, re-recording
ai-ling lee is a singaporean sound editor, re-recording mixer and audio engineer working in los angeles, california. her works on films, bruce almighty (2003), spider-man 2 (2004), mr. & mrs. smith (2005), the twilight saga: new moon (2009), tangled (2010), transformers: dark of the moon (2011), 300: rise of an empire ...
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e7458ba37959e315e2e317baa51f383bc315cde2
singh made his professional debut in the i-league
singh made his professional debut in the i-league for rangdajied united f.c. on 22 september 2013 against prayag united s.c. at the salt lake stadium in which he started and played the full match as rangdajied united lost 0–2.
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e7f67ecf46a24d1faf51575f679bfbc9d40c3f76
the new sister bridge is a two lane
the new sister bridge is a two lane girder bridge that would now carry southbound lanes, making the deck truss bridge into a northbound bridge only. it is also called the herman g. dillon bridge, and it survived the 1951 flood.
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1dbd13df961b3e1ca9fcb13c269eede4895a518f
the 7th street trafficway bridge is a one
the 7th street trafficway bridge is a one level deck truss bridge over the kansas river and bnsf railway tracks on 7th street.it was built in 1932. it connects the armourdale district of kansas city, kansas, to the east end of the argentine district of kansas city, kansas.in 1970, the bridge was resurfaced, repainted, ...
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73e943a48ba3c102e922ef32e27ab43c0200c8eb
the 2024 northeast conference men's basketball tournament was
the 2024 northeast conference men's basketball tournament was the postseason men's basketball tournament for the northeast conference for the 2023–24 ncaa division i men's basketball season. the tournament took place on three dates between march 6 and 12, 2024, and all tournament games were played in the home arenas of...
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wagner became the first team to win three
wagner became the first team to win three road games and take the nec tournament title and, as the no. 6 seed, matched the lowest seeded team to ever capture the nec crown with a 54–47 victory at merrimack. tournament mvp tahron allen scored 22 points for the seahawks and gave them an 11-point lead at 41–30 with his th...
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julian brown scored 20 points to lead wagner
julian brown scored 20 points to lead wagner past top-seeded central connecticut, 66–56. after the seahawks took a 28–23 halftime lead, the blue devils battled back and tied the game at 39 with 9:06 remaining, but central connecticut was never able to pull in front. after the blue devils got within 48–45, melvin counci...
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after le moyne jumped out to an early
after le moyne jumped out to an early 13–4 lead, merrimack's defense got the warriors back into the game, and a 19–3 run in the later part of the first half helped them build a 28–20 lead at intermission. the dolphins cut the deficit to three with 14:47 to play on a put-back by kaiyem cleary. the teams traded three-poi...
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8aa8b96bcd68413f40a743f4542e8388f7b2a537
powered by luke sutherland's 22 points, le moyne
powered by luke sutherland's 22 points, le moyne cruised to an 82–61 wire-to-wire victory over fairleigh dickinson. the dolphins opened the game with three three-pointers to take a 9–0 lead just 1:45 into the contest. the knights settled down, and le moyne was up, 42–34, at intermission. leading 46–40 in the second hal...
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e8685898b370151828b3ba827725dffa22a3a348
tahron allen's go-ahead layup with 46 seconds remaining
tahron allen's go-ahead layup with 46 seconds remaining fueled wagner to a 60–57 upset victory at sacred heart. the game was close throughout, and neither team led by more than three points during the final 11:13. after a pair of free throws by melvin council jr. gave the seahawks a three-point lead in the closing seco...
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981642a34a129137169d9998697e22177607f5d1
merrimack survived a difficult test from liu in
merrimack survived a difficult test from liu in the nec quarterfinals, securing a 72–66 victory to advance. the game remained close throughout, until the warriors went on a 9–0 run to take a 10-point lead with less than four minutes to play and seemingly put the game away. however, the sharks battled back and got withi...
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ed9bc766163577855187f9043c3f8034d427890a
top-seeded central connecticut found themselves trailing saint francis
top-seeded central connecticut found themselves trailing saint francis by as many as eight points at 54–46, before going on an 8–0 run to tie the score at 57. moments later, a three-pointer by jordan jones, who finished with 18 points, gave the blue devils a 60–59 lead. after several lead changes, a jump shot by jones ...
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98f0d1d40ddce232885771a96cd811f9b9a4e4c2
the top eight teams in the conference regular-season
the top eight teams in the conference regular-season standings qualified. effective for the 2023–24 academic year, nec teams transitioning from division ii are eligible for the nec tournament during the entirety of their transition periods. if a reclassifying institution wins the nec tournament championship, the tourna...
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75bde2bd41f7bc1647bcae95046ffdb580092d17
the 2024 northeast conference men's basketball tournament was
the 2024 northeast conference men's basketball tournament was the postseason men's basketball tournament for the northeast conference for the 2023–24 ncaa division i men's basketball season. the tournament took place on three dates between march 6 and 12, 2024, and all tournament games were played in the home arenas of...
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28084701bf65306c2ba04a88223e6603b4f36bc0
anna christina balazs is an american materials scientist
anna christina balazs is an american materials scientist and engineer. she currently is distinguished professor at the university of pittsburgh and holds the john a. swanson chair at the swanson school of engineering. her research involves developing theoretical and computational models to capture the behavior of polym...
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she was the chair of the american physical
she was the chair of the american physical society division of polymer physics in 1999-2000. she has also served on the editorial board of macromolecules, langmuir, accounts of chemical research, science advances, and soft matter.
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ec7d07604d4a229f808f67765e32d5d0fc6578e9
in 1987 she moved to the university of
in 1987 she moved to the university of pittsburgh where she became an assistant professor (1987-1992), an associate professor (1992-1999), and bicentennial engineering alumni faculty fellow.balazs research uses theoretical and computational modeling of the thermodynamic and kinetic behavior of polymer blends and compos...
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a40e02e9f56cbb1a45da267ea058c5180961f2c2
balalzs was born to holocaust survivors in hungary.
balalzs was born to holocaust survivors in hungary. she was inspired by her father who was a veterinarian to go into science. balazs received her b.a. degree with honors in physics from bryn mawr college in 1975. she received her master's and phd in materials science and engineering from massachusetts institute of tech...
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her research involves developing theoretical and computational models
her research involves developing theoretical and computational models to capture the behavior of polymeric materials, nanocomposites and multi-component fluids in confined geometries. in 2016, balazs was the first woman to receive the polymer physics prize from the american physical society “for imaginative and insight...
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331c5a7f1c27e3f13013898d78040528ce3663ba
aaron sams is one of the developers of
aaron sams is one of the developers of the flipped classroom model for education, which seeks to remove lecture from classroom onto video so that teachers can dedicate class time to more interactive activities and extra help. sams developed the idea with fellow chemistry teacher jonathan bergmann at woodland park high ...
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ca471a5f2f9ccd68315978f992f97b5e4e46b283
he has worked with other teachers interested in
he has worked with other teachers interested in flipping their classrooms, especially in foreign language, leading training workshops on creating video lessons and other aspects of the method. he frequently speaks and conducts workshops on educational uses of screencasts and the flipped classroom concept.
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5fb91ff503d4cacd2af9abda22f949b0ee2838b4
sams believes strongly in inquiry and in student
sams believes strongly in inquiry and in student centered learning environments in which students are encouraged to learn and demonstrate their understanding in ways that are meaningful to them. for sams the flipped classroom needs to have four elements: flexibility to allow students to choose when and where they learn...
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