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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...
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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),
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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:
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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...
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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...
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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:
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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.
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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 ...
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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...
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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.
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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...
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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...
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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...
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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.
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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...
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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...
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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.
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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-...
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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...
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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...
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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:
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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.
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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.
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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...
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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...
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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...
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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.
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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...
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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...
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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 ...
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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.
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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...
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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.
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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...
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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...
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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...
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