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95c7c4931820ee3410aefb0888cb10c0193bf7c6 | in 1939, cannon left london and established the | in 1939, cannon left london and established the isle of man clinic for nervous diseases. on the isle of man, he was a friend of captain george drummond, a nazi sympathiser who had entertained the prince of wales and was interned in his mansion on his island during the war. cannon was himself suspected of being a nazi s... | wikipedia |
742599f1bd950937de51677ba42941334246f04c | by the late 1930s, cannon's london clinic, where | by the late 1930s, cannon's london clinic, where he billed himself fraudulently as "his excellency sir dr alexander cannon", had become highly lucrative. he continued to work and publish. in 1938, in his book sleeping through space, he gave directions for bringing the dead back to life: " a severe kick with the knee be... | wikipedia |
56953874497b2c40ba33d1f0aff2672b67bbfe54 | according to recent research, during this period king | according to recent research, during this period king edward viii consulted cannon, and received hypnotic treatment from him for a drink problem. this was drawn to the attention of dr cosmo lang, the archbishop of canterbury. two days before the king's abdication in december 1936, lang wrote to another harley street do... | wikipedia |
022bf52b787e397712046471354358aa158bc954 | after his return to england, he was awarded | after his return to england, he was awarded a diploma in psychological medicine (dpm) from the royal college of physicians of london and royal college of surgeons of england in 1931. cannon served as psychiatrist and research scientist at colney hatch mental hospital. after learning of his book, london county council d... | wikipedia |
b70a130e75725059635a2b5c3a1c4be0a12a5ee3 | he also served as british consul and port | he also served as british consul and port medical officer in canton (guangzhou). he studied occultism and yoga and travelled in india, china and tibet. in his book the invisible influence (1933), he claimed that during his travels he was levitated over a chasm in tibet, together with his porters and luggage. the book w... | wikipedia |
b7947873c62ad52fa047c2f441a5a077e0d40fe5 | in hong kong in the late 1920s and | in hong kong in the late 1920s and early 1930s, he became vice-president of the hong kong medical society, medical officer in charge of prisons, head of the department of morbid anatomy at the university of hong kong, and psychiatrist and medical jurist to the high court of justice. | wikipedia |
f471a4592d430730f165fb43c34b5901ccebda81 | he was born in leeds, england, and educated | he was born in leeds, england, and educated at leeds, london, vienna, hong kong, and several other universities, eventually receiving both an md and phd. later he trained in various eastern spiritual disciplines, acquiring or claiming such titles as "kushog yogi of northern thibet" and "master-the-fifth of the great wh... | wikipedia |
a72b599ff3d3d69c16458f27622a5e3a12e72691 | james alexander cannon (4 august 1896 – 18 | james alexander cannon (4 august 1896 – 18 march 1963) was a british psychiatrist, occultist, hypnotist and author. he became well known in the 1930s for his occult writings and claims, and more recently for his alleged influence on king edward viii shortly before his abdication. | wikipedia |
91ebb3c46f586d564decc5b29c5f776fc6e8f426 | the beaver bridge is a rail bridge spanning | the beaver bridge is a rail bridge spanning the ohio river between monaca and beaver, pennsylvania. it consists of two spans: a southern cantilever through truss of 769 feet (234 m) with 320-foot (98 m) anchor arms; and a northern camelback through truss of 370 feet (110 m). the bridge currently carries two tracks of c... | wikipedia |
914b14bf8988a9c49a50b98ce5b635d65fa0a07d | the bridge was designed by albert lucius and | the bridge was designed by albert lucius and built by mcclintic-marshall company of pittsburgh between march 1908 and may 1910 for the pittsburgh and lake erie railroad. the bridge is notable in that the railroad proceeded with the cantilever design despite the collapse of the quebec cantilever bridge during constructi... | wikipedia |
71c1641923601e4594f45cb8cf023b0152fcf92c | the beaver bridge is a rail bridge spanning | the beaver bridge is a rail bridge spanning the ohio river between monaca and beaver, pennsylvania. it consists of two spans: a southern cantilever through truss of 769 feet (234 m) with 320-foot (98 m) anchor arms; and a northern camelback through truss of 370 feet (110 m). the bridge currently carries two tracks of c... | wikipedia |
2a257b265a3daddc06388430f29f66907aff2606 | phase-comparison monopulse is a technique used in radio | phase-comparison monopulse is a technique used in radio frequency (rf) applications such as radar and direction finding to accurately estimate the direction of arrival of a signal from the phase difference of the signal measured on two separated antennas or more typically from displaced phase centers of an array antenn... | wikipedia |
66c73cac5e1203ef5f0528860db60d251a116641 | phase-comparison monopulse is a technique used in radio | in the array manifold and beam forming network. speaking in terms of only one dimension for clarity, such as with a linear array, the signal is received by the array and summed into each of two subarrays with displaced phase centers. the sum channel is formed simply by adding these two subarray outputs, and the result... | wikipedia |
d403accbf247061cb03e476457110f9cc5618281 | this deviation angle, which can be positive or | this deviation angle, which can be positive or negative, is added to the beam pointing angle to arrive at the more accurate estimate of the actual target bearing angle. of course, if the array is 2-dimensional, such as a planar array, there are two del channels, one for elevation and one for azimuth, and therefore two ... | wikipedia |
e7a38f2bb3aca8238c90869c547f3183a334fbc0 | therefore, a monopulse processor functions by first detecting | therefore, a monopulse processor functions by first detecting and measuring the target signal on the sum channel. then, only as necessary for detected targets, it measures the same signal on the "del" channel, dividing the imaginary part of this result by the real part of the "sum" channel, then converting this ratio t... | wikipedia |
3695dfee50a7936312026dcd9520231cfd9d3e1e | before performing monopulse processing, a system must first | before performing monopulse processing, a system must first detect a target, which it does as normal using the sum channel. all of the typical measurements that a non-monopulse system make are done using the sum channel, e.g., range, doppler, and angle. however, the angle measurement is limited in that the target could... | wikipedia |
1ca8fb3881119b1893669fff5ec4f99433de8752 | one can see that, within the 3db beam | one can see that, within the 3db beam width of the system, the monopulse ratio is almost linear. in fact, for many systems a linear approximation is good enough. one can also note that the monopulse ratio is continuous within the null-to-null beam width, but has asymptotes that occur at the beam nulls. therefore, the m... | wikipedia |
27746b4d16d9e262060a2a1888d3f938e28ad378 | note that j ⋅ j = i {\displaystyle | note that j ⋅ j = i {\displaystyle {\textbf {j}}\cdot {\textbf {j}}={\textbf {i}}}. assuming that n is even (we could just as easily develop this using an odd n), | wikipedia |
56129a3f1ad6c008b1e5a7bb009886ab6ac658e2 | let us now develop the monopulse "difference" or | let us now develop the monopulse "difference" or "del" pattern by dividing the array into two equal halves called subarrays. we could have just as easily derived the sum pattern by first determining the pattern of each subarray individually and adding these two results together. in monopulse practice, this is what is a... | wikipedia |
5beec2c05ebcfaf3ceb2e734b6bc85308e80a98e | this pattern is also known, for monopulse purposes, | this pattern is also known, for monopulse purposes, as the "sum" pattern, as it was obtained by summing all of the elements together. going forward we will suppress the Δ {\displaystyle \delta } subscript and instead use only ψ {\displaystyle \psi } with the understanding that it represents the deviation of the steered... | wikipedia |
85d7bc0a985be287e702bf8b31c9a3acd0983c4f | let us now assume an un-tapered, normalized array | let us now assume an un-tapered, normalized array with a n = 1 n {\displaystyle a_{n}={\frac {1}{n}}}. the beam pattern can be easily shown to be the familiar aliased sinc (asinc) function: | wikipedia |
527a630942ea89ac9072c02e503b5e9029e2dcae | we can clearly see now that the beam | we can clearly see now that the beam pattern, in ψ {\displaystyle \psi } -space, is the spatial equivalent of the discrete time fourier transform (dtft) of the array amplitude tapering vector times a linear phase term. the advantage of ψ {\displaystyle \psi } -space is that the beam shape is identical no matter where i... | wikipedia |
f333f7d0b82988abdeff514fd8067e391d198bef | the weight vector is a combination of a | the weight vector is a combination of a steering vector that steers the beam in a steered direction, ψ s {\displaystyle \psi _{s}}, using phase adjustments and an amplitude taper that is often applied to reduce sidelobes. thus, n = a n e j (n − n − 1 2) ψ s {\displaystyle \left_{n}=a_{n}e^{j\left(n-{\frac {n-1}{2}}\rig... | wikipedia |
272f84834c7d570223ec4bc3cb4aa06a4fc65e55 | and we can more easily see that ψ | and we can more easily see that ψ {\displaystyle \psi } is simply the phase shift between adjacent elements. the n − 1 2 {\displaystyle {\frac {n-1}{2}}} term simply references the absolute phase to the physical center of the array. | wikipedia |
b45e3f080321a820787cc2428103f12a200da9a3 | it is common to perform a variable substitution | it is common to perform a variable substitution to ψ {\displaystyle \psi } -space, where ψ = 2 π λ d c o s θ {\displaystyle \psi ={\frac {2\pi }{\lambda }}dcos\theta }, and therefore we have: | wikipedia |
47ef5dea504b6471f767281dd1225fd3aba20c46 | there are some common misconceptions about phase comparison | there are some common misconceptions about phase comparison monopulse. first, only one beam is formed. monopulse processing is done entirely with the received signal in the array manifold and beam forming network. speaking in terms of only one dimension for clarity, such as with a linear array, the signal is received b... | wikipedia |
1b54cbba059a7dd1a7aaf3692bd78adc8ea73ce8 | in phase-comparison monopulse, typically an array is subdivided | in phase-comparison monopulse, typically an array is subdivided into sub-arrays, and then a "sum" and a "difference" or "del" channel are formed. for a linear array, these subarrays would each be half of the elements, divided in the middle. for a planar array, these sub-arrays would be the four quadrants of the array, ... | wikipedia |
32eb62fb3fc8d26bfe968a26ff98074b1932706c | phase-comparison monopulse is a technique used in radio | phase-comparison monopulse is a technique used in radio frequency (rf) applications such as radar and direction finding to accurately estimate the direction of arrival of a signal from the phase difference of the signal measured on two (or more) separated antennas or more typically from displaced phase centers of an ar... | wikipedia |
ce114f8222a0913de98f9a4f57089c21ad604790 | in mathematics, an adjunction space (or attaching space) | in mathematics, an adjunction space (or attaching space) is a common construction in topology where one topological space is attached or "glued" onto another. specifically, let x and y be topological spaces, and let a be a subspace of y. let f : a → x be a continuous map (called the attaching map). one forms the adjunc... | wikipedia |
0011923a2bde3be41267b2672ec202c9b36ae817 | here i is the inclusion map and Φ, | here i is the inclusion map and Φ, Φ are the maps obtained by composing the quotient map with the canonical injections into the disjoint union of x and y. one can form a more general pushout by replacing i with an arbitrary continuous map g — the construction is similar. conversely, if f is also an inclusion the attach... | wikipedia |
b507e28544c4f22f09d3f84386c0892109604e03 | the continuous maps h : x ∪ y | the continuous maps h : x ∪ y → z are in 1-1 correspondence with the pairs of continuous maps h : x → z and h : y → z that satisfy h (f (a))= h (a) for all a in a. | wikipedia |
cf794bbf6ca273e1f6daeb17a3d4b8869adaf06a | where the equivalence relation ~ is generated by | where the equivalence relation ~ is generated by a ~ f (a) for all a in a, and the quotient is given the quotient topology. as a set, x ∪ y consists of the disjoint union of x and (y − a). the topology, however, is specified by the quotient construction. | wikipedia |
ad9b450597cdcf32d2ff5245ba935db29db9c07a | in mathematics, an adjunction space (or attaching space) | in mathematics, an adjunction space (or attaching space) is a common construction in topology where one topological space is attached or "glued" onto another. specifically, let x and y be topological spaces, and let a be a subspace of y. let f : a → x be a continuous map (called the attaching map). one forms the adjunc... | wikipedia |
b9bf518eb4dccd5f43583eaf236762cffa78afec | alexander clive ritson was a canadian professional ice | alexander clive ritson was a canadian professional ice hockey centre. he played one game in the national hockey league with the new york rangers during the 1944–45 season, on january 14, 1945, against the montreal canadiens. the rest of his career, which lasted from 1941 to 1952, was spent in the minor leagues. | wikipedia |
7d82c15fc20c7ddfeb8d1cd2c3bf05d99f3915dd | alexander clive ritson (march 7, 1922 – july | alexander clive ritson (march 7, 1922 – july 18, 2008) was a canadian professional ice hockey centre. he played one game in the national hockey league with the new york rangers during the 1944–45 season, on january 14, 1945, against the montreal canadiens. the rest of his career, which lasted from 1941 to 1952, was spe... | wikipedia |
8c00d456d3a62c41edb5737c0ae55f51550084c0 | in enzymology, a polygalacturonate 4-alpha-galacturonosyltransferase is an enzyme | in enzymology, a polygalacturonate 4-alpha-galacturonosyltransferase is an enzyme that catalyzes the chemical reaction thus, the two substrates of this enzyme are udp-d-galacturonate and (1,4-alpha-d-galacturonosyl)n, whereas its two products are udp and (1,4-alpha-d-galacturonosyl)n+1. this enzyme belongs to the famil... | wikipedia |
76c6420bb3be729f88eab3217ac9cf95aef4626a | this enzyme belongs to the family of glycosyltransferases, | this enzyme belongs to the family of glycosyltransferases, specifically the hexosyltransferases. the systematic name of this enzyme class is udp-d-galacturonate:1,4-alpha-poly-d-galacturonate 4-alpha-d-galacturonosyltransferase. other names in common use include udp galacturonate-polygalacturonate alpha-galacturonosylt... | wikipedia |
490f8b56d2bf6e5d7e93432fa8062101e76c69a5 | thus, the two substrates of this enzyme are | thus, the two substrates of this enzyme are udp-d-galacturonate and (1,4-alpha-d-galacturonosyl)n, whereas its two products are udp and (1,4-alpha-d-galacturonosyl)n+1. | wikipedia |
74929815aecfab2cbc7967c061acb297d52e256e | peptide-based synthetic vaccines are subunit vaccines made from | peptide-based synthetic vaccines are subunit vaccines made from peptides. the peptides mimic the epitopes of the antigen that triggers direct or potent immune responses. peptide vaccines can not only induce protection against infectious pathogens and non-infectious diseases but also be utilized as therapeutic cancer va... | wikipedia |
0e1fcd3b8b7cc4db61a0da4ab62b96cbfceec24f | the whole peptide vaccine is to mimic the | the whole peptide vaccine is to mimic the epitope of an antigen, so epitope design is the most important stage of vaccine development and requires an accurate understanding of the amino acid sequence of the immunogenic protein interested. the designed epitope is expected to generate strong and long-period immuno-respon... | wikipedia |
50286cf7dab7102b7adb3461f9d1d486626d519d | the traditional vaccines are the whole live or | the traditional vaccines are the whole live or fixed pathogens. the second generation of vaccines is mainly the protein purified from the pathogen. the third generation of vaccines is the dna or plasmid that can express the proteins of the pathogen. peptide vaccines are the latest step in the evolution of vaccines. | wikipedia |
45e083b677e420b8633166586d76bab75cda5299 | peptide-based synthetic vaccines (epitope vaccines) are subunit vaccines | peptide-based synthetic vaccines (epitope vaccines) are subunit vaccines made from peptides. the peptides mimic the epitopes of the antigen that triggers direct or potent immune responses. peptide vaccines can not only induce protection against infectious pathogens and non-infectious diseases but also be utilized as th... | wikipedia |
560b9daaf8cccf465f67a8263bcc71e3f72248bf | in the domain of mathematics known as representation | in the domain of mathematics known as representation theory, pure spinors are spinors that are annihilated, under the clifford algebra representation, by a maximal isotropic subspace of a vector space v with respect to a scalar product q . they were introduced by Élie cartan in the 1930s and further developed by claude... | wikipedia |
7c4e8d0a9f5bee7f2a2b7f9a89f2102e745f0716 | in the approach to integrable hierarchies developed by | in the approach to integrable hierarchies developed by sato, and his students, equations of the hierarchy are viewed as compatibility conditions for commuting flows on an infinite dimensional grassmannian. under the (infinite dimensional) cartan map, projective pure spinors are equivalent to elements of the infinite di... | wikipedia |
84363ea642f3ebcff56597f9d6403f37300049df | pure spinors were introduced in string quantization by | pure spinors were introduced in string quantization by nathan berkovits. nigel hitchin introduced generalized calabi–yau manifolds, where the generalized complex structure is defined by a pure spinor. these spaces describe the geometry of flux compactifications in string theory. | wikipedia |
266586565bffd24affe31e47d3fd5909de3370ea | for d = 10 {\displaystyle d=10} dimensional, n | for d = 10 {\displaystyle d=10} dimensional, n = 1 {\displaystyle n=1} supersymmetric yang-mills theory, the super-ambitwistor correspondence, consists of an equivalence between the supersymmetric field equations and the vanishing of supercurvature along super null lines, which are of dimension (1 | 16) {\displaystyle ... | wikipedia |
a40f7bd7b15fb288b6d70a0a2c8ee941317e5215 | where Γ μ {\displaystyle \,\gamma _{\mu }\,} are | where Γ μ {\displaystyle \,\gamma _{\mu }\,} are the gamma matrices that represent the vectors in c 10 {\displaystyle \,\mathbb {c} ^{10}\,} that generate the clifford algebra. however, only 5 {\displaystyle 5} of these are independent, so the variety of projectivized pure spinors for v = c 10 {\displaystyle v=\mathbb ... | wikipedia |
8cadfbb1f06ffc93a37994b4f72829af544ec05f | cartan relations, signifying the vanishing of the bilinear | cartan relations, signifying the vanishing of the bilinear forms β m {\displaystyle \beta _{m}} with values in the exterior spaces Λ m (v) {\displaystyle \,\lambda ^{m}(v)\,} for m ≡ n, mod 4 {\displaystyle m\equiv n,{\text{ mod }}4}, corresponding to these skew symmetric elements of the clifford algebra. however, sinc... | wikipedia |
1502f106608f875a9515e4c2c2b69501e95f5e78 | these determine the image of the submanifold of | these determine the image of the submanifold of maximal isotropic subspaces of the vector space v, {\displaystyle v,} with respect to the scalar product q {\displaystyle q}, under the cartan map, which defines an embedding of the grassmannian of isotropic subspaces of v {\displaystyle v} in the projectivization of the ... | wikipedia |
7ac54bbc4e41f8f994753d5d7e24da119a00d894 | as shown by cartan, pure spinors ψ ∈ | as shown by cartan, pure spinors ψ ∈ Λ (v n) {\displaystyle \psi \in \lambda (v_{n})} are uniquely determined by the fact that they satisfy the following set of homogeneous quadratic equations, known as the cartan relations: | wikipedia |
fcbb0dee48f706cbb4a8a63b4210c2ff35f2fd1f | where, for homogeneous elements ψ ∈ Λ p | where, for homogeneous elements ψ ∈ Λ p (v n) {\displaystyle \psi \in \lambda ^{p}(v_{n})}, ϕ ∈ Λ q (v n) {\displaystyle \phi \in \lambda ^{q}(v_{n})} and volume form Ω {\displaystyle \omega } on Λ (v n) {\displaystyle \lambda (v_{n})}, | wikipedia |
3fb67014ebfa8715c68c665dfcb92628f2f4ce92 | define a set of bilinear forms { β | define a set of bilinear forms { β m } m = 0, … 2 n {\displaystyle \{\beta _{m}\}_{m=0,\dots 2n}} on the spinor module Λ (v n) {\displaystyle \lambda (v_{n})}, with values in Λ m (v ∗) ∼ Λ m (v) {\displaystyle \lambda ^{m}(v^{*})\sim \lambda ^{m}(v)} (which are isomorphic via the scalar product q {\displaystyle q}), by | wikipedia |
94bd908423c75b8ef624ca8831a56632dd010167 | where Λ + (v n) {\displaystyle \lambda ^{+}(v_{n})} | where Λ + (v n) {\displaystyle \lambda ^{+}(v_{n})} and Λ − (v n) {\displaystyle \lambda ^{-}(v_{n})} consist, respectively, of the even and odd degree elements of Λ (v n) {\displaystyle \lambda ^{(}v_{n})}. | wikipedia |
ac51d24c736ed148b2b1d9c20f03271ab32168fd | if v = v n ⊕ v n | if v = v n ⊕ v n ∗ {\displaystyle v=v_{n}\oplus v_{n}^{*}} is even dimensional, there are two connected components in the isotropic grassmannian g r n 0 (v, q) {\displaystyle \mathbf {gr} _{n}^{0}(v,q)}, which get mapped, under c a {\displaystyle \mathbf {ca} }, into the two half-spinor subspaces Λ + (v n), Λ − (v n) {... | wikipedia |
bebeb74c03f749dd83ca972668f6b024c38aa252 | so any spinor ψ {\displaystyle \psi } with | so any spinor ψ {\displaystyle \psi } with ∈ c a (w) {\displaystyle \in \mathbf {ca} (w)} is annihilated, under the clifford representation, by all elements of w {\displaystyle w}. conversely, if ψ {\displaystyle \psi } is annihilated by Γ x {\displaystyle \gamma _{x}} for all x ∈ w {\displaystyle x\in w}, then ∈ c a (... | wikipedia |
d18860bb57ef4e224242c3521c643b65bb202bf5 | and hence c a (w) {\displaystyle \mathbf {ca} | and hence c a (w) {\displaystyle \mathbf {ca} (w)} defines an element of the projectivization p (Λ (v n)) {\displaystyle \mathbf {p} (\lambda (v_{n}))} of the irreducible clifford module Λ (v n) {\displaystyle \lambda (v_{n})}.it follows from the isotropy conditions that, if the projective class {\displaystyle } of a s... | wikipedia |
26c3846a8d53830b2cdafba4947308c229cff8aa | i.e. the image of Λ (v n) {\displaystyle | i.e. the image of Λ (v n) {\displaystyle \lambda (v_{n})} under the endomorphism formed from taking the product of the clifford representation endomorphisms { Γ x i ∈ e n d (Λ (v n)) } i = 1, …, n {\displaystyle \{\gamma _{x_{i}}\in \mathrm {end} (\lambda (v_{n}))\}_{i=1,\dots,n}}, which is independent of the choice of... | wikipedia |
1b5e5d1cc8388c3ab116e23786080324eb708c93 | is defined, for any element w ∈ g | is defined, for any element w ∈ g r n 0 (v, q) {\displaystyle w\in \mathbf {gr} _{n}^{0}(v,q)}, with basis (x 1, …, x n) {\displaystyle (x_{1},\dots,x_{n})}, to have value | wikipedia |
9a1d989451dba86cd49f79d8552f8de3eaa369b3 | denote the grassmannian of maximal isotropic (n {\displaystyle | denote the grassmannian of maximal isotropic (n {\displaystyle n} -dimensional) subspaces of v {\displaystyle v} as g r n 0 (v, q) {\displaystyle \mathbf {gr} _{n}^{0}(v,q)}. the cartan map | wikipedia |
f05127413f0d7cfc895afc86da7a4bb87f1d8fed | a pure spinor ψ {\displaystyle \psi } is | a pure spinor ψ {\displaystyle \psi } is defined to be any element ψ ∈ Λ (v n) {\displaystyle \psi \in \lambda (v_{n})} that is annihilated by a maximal isotropic subspace w ⊂ v {\displaystyle w\subset v} with respect to the scalar product q {\displaystyle \,q\,}. conversely, given a maximal isotropic subspace it is po... | wikipedia |
c100dc551ea4640b507accb56eca33a9bf12d217 | for v = v n ⊕ v n | for v = v n ⊕ v n ∗ ⊕ c {\displaystyle v=v_{n}\oplus v_{n}^{*}\oplus \mathbf {c} }, when ψ {\displaystyle \psi } is homogeneous of degree p {\displaystyle p}. | wikipedia |
8e61d230ccf0b22c288053ef2f370caf27049711 | for either v = v n ⊕ v | for either v = v n ⊕ v n ∗ {\displaystyle v=v_{n}\oplus v_{n}^{*}} or v = v n ⊕ v n ∗ ⊕ c {\displaystyle v=v_{n}\oplus v_{n}^{*}\oplus \mathbf {c} }, and | wikipedia |
a6fdfcaea65d22370d43fda8e597cf9829f0f0cd | the clifford algebra representation Γ x ∈ e | the clifford algebra representation Γ x ∈ e n d (Λ (v n)) {\displaystyle \gamma _{x}\in \mathrm {end} (\lambda (v_{n}))} as endomorphisms of the irreducible clifford/spinor module Λ (v n) {\displaystyle \lambda (v_{n})}, is generated by the linear elements x ∈ v {\displaystyle x\in v}, which act as | wikipedia |
e337b7985b4e1c6d4028cd661de5cd9f4681a602 | where v n ⊂ v {\displaystyle v_{n}\subset v} | where v n ⊂ v {\displaystyle v_{n}\subset v} is a totally isotropic subspace of dimension n {\displaystyle n}, and v n ∗ {\displaystyle v_{n}^{*}} is its dual space, with scalar product defined as | wikipedia |
ceb9a1ede0516ab4381298dc0d23ae57b5416611 | pure spinors, defined up to projectivization, are called | pure spinors, defined up to projectivization, are called projective pure spinors. for v {\displaystyle \,v\,} of even dimension 2 n {\displaystyle 2n}, the space of projective pure spinors is the homogeneous space s o (2 n) / u (n) {\displaystyle so(2n)/u(n)}; for v {\displaystyle \,v\,} of odd dimension 2 n + 1 {\disp... | wikipedia |
9064b4d6d78b87c2571ef9852fdb32e0d07afd80 | spinors are modules of the clifford algebra, and | spinors are modules of the clifford algebra, and so in particular there is an action of theelements of v {\displaystyle v} on the space of spinors. the complex subspace v ψ 0 ⊂ v {\displaystyle v_{\psi }^{0}\subset v} that annihilates a given nonzero spinor ψ {\displaystyle \psi } has dimension m ≤ n {\displaystyle m\l... | wikipedia |
0e4051080f603cad0626781d5d971b22708ee39f | consider a complex vector space v {\displaystyle v}, | consider a complex vector space v {\displaystyle v}, with either even dimension 2 n {\displaystyle 2n} or odd dimension 2 n + 1 {\displaystyle 2n+1}, and a nondegenerate complex scalar product q {\displaystyle q}, with values q (u, v) {\displaystyle q(u,v)} on pairs of vectors (u, v) {\displaystyle (u,v)}. the clifford... | wikipedia |
4306917f2b1cb3984ab7c21b02a292fd5ce9da3b | they are a key ingredient in the study | they are a key ingredient in the study of spin structures and higher dimensional generalizations of twistor theory, introduced by roger penrose in the 1960s. they have been applied to the study of supersymmetric yang-mills theory in 10d, superstrings, generalized complex structures and parametrizing solutions of integr... | wikipedia |
fb29d30d5e1d2e6c9ebcc89206753e980e65e2b2 | in the domain of mathematics known as representation | in the domain of mathematics known as representation theory, pure spinors (or simple spinors) are spinors that are annihilated, under the clifford algebra representation, by a maximal isotropic subspace of a vector space v {\displaystyle v} with respect to a scalar product q {\displaystyle q}. they were introduced by É... | wikipedia |
3959183d355dbff4b9ea5b9f9612f9cbc1f64ecb | the enzyme phospholipase a2 (ec 3.1.1.4, pla2, systematic | the enzyme phospholipase a2 (ec 3.1.1.4, pla2, systematic name phosphatidylcholine 2-acylhydrolase) catalyses the cleavage of fatty acids in position 2 of phospholipids, hydrolyzing the bond between the second fatty acid “tail” and the glycerol molecule: this particular phospholipase specifically recognizes the sn2 acy... | wikipedia |
5d084101ec34f27daaaef4bd6c6f4a8d61b15cd8 | increase in phospholipase a activity is an acute-phase | increase in phospholipase a activity is an acute-phase reaction that rises during inflammation, which is also seen to be exponentially higher in low back disc herniations compared to rheumatoid arthritis. it is a mixture of inflammation and substance p that are responsible for pain. | wikipedia |
2670b15eb0e1f356ce2c090d2929380217a89857 | in normal brain cells, pla2 regulation accounts for | in normal brain cells, pla2 regulation accounts for a balance between arachidonic acid 's conversion into proinflammatory mediators and its reincorporation into the membrane. in the absence of strict regulation of pla2 activity, a disproportionate amount of proinflammatory mediators are produced. the resulting induced ... | wikipedia |
54865e5e9c9febc9d85c67a84c5e9580408e35fe | due to the importance of pla2 in inflammatory | due to the importance of pla2 in inflammatory responses, regulation of the enzyme is essential. cpla2 is regulated by phosphorylation and calcium concentrations. cpla2 is phosphorylated by a mapk at serine -505. when phosphorylation is coupled with an influx of calcium ions, cpla2 becomes stimulated and can translocate... | wikipedia |
c4cb4087d1ce2c26ee059aaba81bff1aadaceb46 | pla2 can also be characterized as having a | pla2 can also be characterized as having a channel featuring a hydrophobic wall in which hydrophobic amino acid residues such as phe, leu, and tyr serve to bind the substrate. another component of pla2 is the seven disulfide bridges that are influential in regulation and stable protein folding. | wikipedia |
3193f3e93ce51d5cee44152dc25620c637ceddc3 | the suggested catalytic mechanism of pancreatic spla2 is | the suggested catalytic mechanism of pancreatic spla2 is initiated by a his-48/asp-99/calcium complex within the active site. the calcium ion polarizes the sn-2 carbonyl oxygen while also coordinating with a catalytic water molecule, w5. his-48 improves the nucleophilicity of the catalytic water via a bridging second w... | wikipedia |
be4f29bf961f31e0a53069674ae905344906c7f2 | increased levels of lp-pla2 are associated with cardiac | increased levels of lp-pla2 are associated with cardiac disease, and may contribute to atherosclerosis. although, the role of lp-pla2 in atherosclerosis may depend on its carrier in plasma, and several lines of evidence suggest that hdl-associated lp-pla2 may substantially contribute to the hdl antiatherogenic activiti... | wikipedia |
1f54daf0fe327efc7f25cd009aa11781b5da1d78 | these phospholipases are involved in cell signaling processes, | these phospholipases are involved in cell signaling processes, such as inflammatory response. they release arachidonic acid from membrane phospholipids. arachidonic acid is both a signaling molecule and the precursor for the synthesis of other signaling molecules termed eicosanoids. these include leukotrienes and prost... | wikipedia |
76e057ad6d1497892b127d4df9f86e36bc2b9a3a | the intracellular, group iv pla2 are also ca-dependent, | the intracellular, group iv pla2 are also ca-dependent, but they have a different 3d structure and are significantly larger than secreted pla2 (more than 700 residues). they include a c2 domain and a large catalytic domain. | wikipedia |
cbcaa3192b13ffc57f3fc8e33f9aef61ac57e9e9 | there are atypical members of the phospholipase a | there are atypical members of the phospholipase a family, such as pla2g12b, that have no phospholipase activity with typical phospholipase substrate. the lack of enzymatic activity of pla2g12b indicates that it may have unique function distinctive from other spla2s. it has been shown that in pla2g12b null mice vldl lev... | wikipedia |
0f787391b962adbb5dc7a5515756dd95e0f7f1d3 | spla2 has been shown to promote inflammation in | spla2 has been shown to promote inflammation in mammals by catalyzing the first step of the arachidonic acid pathway by breaking down phospholipids, resulting in the formation of fatty acids including arachidonic acid. this arachidonic acid is then metabolized to form several inflammatory and thrombogenic molecules. ex... | wikipedia |
8f5d519de4e2063044a128b269dbabbc67e8cc02 | the extracellular forms of phospholipases a have been | the extracellular forms of phospholipases a have been isolated from different venoms (snake, bee, and wasp), from virtually every studied mammalian tissue (including pancreas and kidney) as well as from bacteria. they require ca for activity. | wikipedia |
06630aa57c814558ff14d11b0a92e92ac4259bca | phospholipases a include several unrelated protein families with | phospholipases a include several unrelated protein families with common enzymatic activity. two most notable families are secreted and cytosolic phospholipases a. other families include ca independent pla2 (ipla2) and lipoprotein-associated pla2s (lp-pla2), also known as platelet activating factor acetylhydrolase (paf-... | wikipedia |
f43dc370a8a5fb11d3e3f6e6e881ead6df73b965 | pla2 enzymes are commonly found in mammalian tissues | pla2 enzymes are commonly found in mammalian tissues as well as arachnid, insect, and snake venom. venom from bees is largely composed of melittin, which is a stimulant of pla2. due to the increased presence and activity of pla2 resulting from a snake or insect bite, arachidonic acid is released from the phospholipid m... | wikipedia |
3e0877f64627bf7f0ef0faf579aa8fa797eefbcb | this particular phospholipase specifically recognizes the sn acyl | this particular phospholipase specifically recognizes the sn acyl bond of phospholipids and catalytically hydrolyzes the bond, releasing arachidonic acid and lysophosphatidyl choline, a precursor of lysophosphatidic acid. upon downstream modification by cyclooxygenases or lipoxygenases, arachidonic acid is modified int... | wikipedia |
9a7d9ba85c59266ad679fbd19e69cd55028f3af1 | the enzyme phospholipase a (ec 3.1.1.4, pla2, systematic | the enzyme phospholipase a (ec 3.1.1.4, pla2, systematic name phosphatidylcholine 2-acylhydrolase) catalyses the cleavage of fatty acids in position 2 of phospholipids, hydrolyzing the bond between the second fatty acid “tail” and the glycerol molecule: | wikipedia |
1aa7fee7341e89eacf45438726fcc06881797e92 | adolf ferdinand sieverts (7 october 1874 – 8 | adolf ferdinand sieverts (7 october 1874 – 8 january 1947) was a german chemist, best known for his work on solubility of gases in metals. he originated sieverts's law. he was a doctoral student of otto wallach. | wikipedia |
ae9e26fff191575bf2931b09909c2dc87329a0a2 | alpheus spring packard jr. ll.d. was an american | alpheus spring packard jr. ll.d. was an american entomologist and palaeontologist. he described over 500 new animal species – especially butterflies and moths – and was one of the founders of the american naturalist. | wikipedia |
d6224ada189acd371273ebcd81c9632ebc322f57 | he married elizabeth darby walcott, daughter of samuel | he married elizabeth darby walcott, daughter of samuel b. walcott in october 1867 in salem, massachusetts. they would have four children: martha walcott,alpheus appleton, elizabeth darby, and frances elizabeth. elizabeth darby would die at the age of eight. he died on february 14, 1905, in providence, rhode island, wit... | wikipedia |
1fe199c5aeb15d87ae23761c6a8354f1d0d74728 | his chief work was the classification and anatomy | his chief work was the classification and anatomy of arthropods, and contributions to economic entomology, zoogeography, and the phylogeny and metamorphoses of insects. packard was appointed to the united states entomological commission in 1877 where he served with charles valentine riley and cyrus thomas. he wrote sch... | wikipedia |
32b8841f6b2ebed7075486eadf831d7508865b37 | he was the son of alpheus spring packard | he was the son of alpheus spring packard sr. (1798–1884) and the brother of william alfred packard. he was born in brunswick, maine, and was professor of zoology and geology at brown university in providence, rhode island, from 1878 until his death. he was a vocal proponent of neo- lamarckism during the eclipse of darw... | wikipedia |
69c0b4ce2e1bb3e0d1330f73eb8d05f583c400fb | alpheus spring packard jr. ll.d. (february 19, 1839 | alpheus spring packard jr. ll.d. (february 19, 1839 – february 14, 1905) was an american entomologist and palaeontologist. he described over 500 new animal species – especially butterflies and moths – and was one of the founders of the american naturalist. | wikipedia |
2134919d1916963540e60d7ae8b9e7bfd93a9fba | he had more than 25 years of experience | he had more than 25 years of experience in undergraduate and postgraduate teaching. he was an examiner to post-graduate students in urology at many indian universities. he presented about 35 oral presentations in national urology conferences. he published about 12 scientific papers in indian journal of urology. he chai... | wikipedia |
1b34a52a3633313704e16b592c236d3391c26237 | he worked as assistant professor of surgery in | he worked as assistant professor of surgery in andhra medical college between 1962 and 1970. he was professor of urology in osmania medical college between 1970 and 1983. he was also honorary consultant in urology at nizam's institute of medical sciences. during his long illustrious service, he has established the firs... | wikipedia |
b5072c02205c00cf8feba98eb3de30bc5895ceab | he graduated from andhra medical college of the | he graduated from andhra medical college of the andhra university, visakhapatnam in 1952. he won the anderson gold medal in anatomy and the dr. bhaskar menon prize in pathology during his medical career. he joined andhra pradesh government health services in 1956. he did post-graduation (m.s.) in surgery from the same ... | wikipedia |
bae6cd771cd0bc20d6e0261c4a20f4007d3cdf78 | a. ranganadha rao (born 11 april 1930) was | a. ranganadha rao (born 11 april 1930) was an indian urologist. he is the first urologist from andhra pradesh and the first person to perform a kidney transplantation in andhra pradesh. | wikipedia |
ae6d605e87f9aa6d7cb1e3b5cec1fb0ef716f703 | sithole scored his first international goal for the | sithole scored his first international goal for the zimbabwe national team in a 2014 african nations championship qualifier against mauritius. he appeared for zimbabwe against gabon on 6 january 2014, and he scored his second goal for his country on 25 january 2014 against mali. he was named in the zimbabwe squad for t... | wikipedia |
18bfa872eff87d0d4ece1e9f49b61990407fefee | in january 2014, coach ian gorowa, invited him | in january 2014, coach ian gorowa, invited him to be a part of the zimbabwe squad for the 2014 african nations championship. he helped the team to a fourth-place finish after being defeated by nigeria by a goal to nil. | wikipedia |
e8860d9dddd18796d41676263830f1c2094087e4 | sithole began his career in zimbabwe with how | sithole began his career in zimbabwe with how mine, before subsequently joining monomotapa united, railstars and hippo valley. after spells with the aforementioned three clubs, sithole rejoined how mine. his return to how mine led to a move to south african football. firstly, a trial with amazulu in 2013 and then a per... | wikipedia |
a378e3c0a6f3e008ca0d19c434ba49efd1b182ab | róisín owens is a professor in the department | róisín owens is a professor in the department of chemical engineering and biotechnology, university of cambridge and a fellow of newnham college, cambridge. her research investigates new engineering technology for biological applications with a focus on organic bioelectronics, developing electroactive materials that ca... | wikipedia |
4650bc277424784c4845c86ecd3bb0b7228e1814 | she was the principal investigator (pi) for a | she was the principal investigator (pi) for a major european research council grant, exploitation of organic electrochemical transistors for use in biological ionsensing in 2010. in 2015 owens won a €150,000 proof of concept grant from the european research council. in 2016 she won a european research council consolida... | wikipedia |
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