id stringlengths 40 40 | title stringlengths 15 120 | text stringlengths 41 3.14k | source stringclasses 2
values |
|---|---|---|---|
dc9889d67166b0c06a8d59809afb27ee26783012 | reducing agents and oxidizing agents are the ones | reducing agents and oxidizing agents are the ones responsible for corrosion, which is the "degradation of metals as a result of electrochemical activity". corrosion requires an anode and cathode to take place. the anode is an element that loses electrons (reducing agent), thus oxidation always occurs in the anode, and ... | wikipedia |
a34acd6a9000df7482eaa205e0045573bdaad10e | hydrogen (whose reduction potential is 0.0) acts as | hydrogen (whose reduction potential is 0.0) acts as an oxidizing agent because it accepts an electron donation from the reducing agent lithium (whose reduction potential is -3.04), which causes li to be oxidized and hydrogen to be reduced. | wikipedia |
8985b26c4e95bef62eb27c4cbbc17575125fc541 | the measure of a material's ability to reduce | the measure of a material's ability to reduce is known as its reduction potential. the table below shows a few reduction potentials, which can be changed to oxidation potentials by reversing the sign. reducing agents can be ranked by increasing strength by ranking their reduction potentials. reducers donate electrons t... | wikipedia |
773f4956cc96fa24a3677dc1c691a8a64fbc13d3 | strong reducing agents easily lose (or donate) electrons. | strong reducing agents easily lose (or donate) electrons. an atom with a relatively large atomic radius tends to be a better reductant. in such species, the distance from the nucleus to the valence electrons is so long that these electrons are not strongly attracted. these elements tend to be strong reducing agents. go... | wikipedia |
ae8a03ad30a94f5f259394b54b73dfc3651e9c6f | in their pre-reaction states, reducers have extra electrons | in their pre-reaction states, reducers have extra electrons (that is, they are by themselves reduced) and oxidizers lack electrons (that is, they are by themselves oxidized). this is commonly expressed in terms of their oxidation states. an agent's oxidation state describes its degree of loss of electrons, where the hi... | wikipedia |
f3b93db33e5bc438dc5e2cdb2ab99fd0fd57518c | in chemistry, a reducing agent (also known as | in chemistry, a reducing agent (also known as a reductant, reducer, or electron donor) is a chemical species that "donates" an electron to an electron recipient (called the oxidizing agent, oxidant, oxidizer, or electron acceptor). | wikipedia |
7992f582ddc48cfaa741d62cdbcd23c2143b9a33 | andreas möller is a german former professional footballer | andreas möller is a german former professional footballer who played as an attacking midfielder. he is the head of the youth department at eintracht frankfurt. from 1985 to 2004 möller played in 429 bundesliga games for eintracht frankfurt, borussia dortmund and fc schalke 04, scoring 110 goals, and also played in seri... | wikipedia |
642718d05cc294c96065f2342f3f7a67437e12c8 | during the 2006 fifa world cup he commented | during the 2006 fifa world cup he commented on the games of the german national team for the guests of the club ship aida. möller is credited with a classic of football style blossoms. when asked in an interview in 1992 where he would play in the future, he is said to have answered: " milan or madrid, the main thing is... | wikipedia |
9430a71f386809569bc21bfd64f745caa57a0dfc | on 28 april 1992 möller married a school | on 28 april 1992 möller married a school friend, with whom he has three daughters (born in 1993, 1995, and 2000 respectively). since the beginning of 2001 he has been in a relationship with another woman, whom he married on 18 august 2007 after his first marriage ended in divorce in 2003. | wikipedia |
37e674faafd159f182bd9351e3a20d5f6d3491fd | on 5 october 2019, möller returned to eintracht | on 5 october 2019, möller returned to eintracht frankfurt and was hired as head of the youth department. in order to have more time for his family, he declared in february 2022 that he would not extend his contract beyond the end of the season and would leave the academy after two and a half years. a short time later i... | wikipedia |
cb68cbce145382cf6bd79ad069ad10831ead5da3 | on 20 october 2015, möller was given a | on 20 october 2015, möller was given a job for the hungary national team. here he worked as an assistant for bernd storck. they played together for borussia dortmund when dortmund won the west german cup in the 1988–89 season. | wikipedia |
84e573e05473465c8de5ec0b064241ece01a2216 | after his active career, möller, together with other | after his active career, möller, together with other former professionals such as dieter eilts, obtained a football teacher's license at the german sport university cologne. on 20 december 2006 he joined viktoria aschaffenburg in the area of sports organization and sponsoring. in june 2007, möller started his career as... | wikipedia |
400d67d8556799610ac304319019764c9ff53729 | described by stephan uersfeld of espn fc as | described by stephan uersfeld of espn fc as "one of the greatest midfielders of his generation", möller was a talented, versatile, and complete advanced playmaker, who was known for his unique sprinting speed - his nickname was "turbo möller" - combined with range of passing, creativity, vision, intelligence, and techn... | wikipedia |
e49290fc83882129d1e691fe0d4e933c179a3806 | with the germany national team, möller was capped | with the germany national team, möller was capped 85 times between 1988 and 1999, scoring 29 goals. he took part at five major international tournaments, winning the 1990 world cup and euro 96. he also played for his country at euro 92, where his team reached the final, only to lose 2–0 to denmark (although möller did ... | wikipedia |
f9f82659bfb1411d5e8a7c9c2a66efb19e325d01 | for the 2003–04 season, möller went back to | for the 2003–04 season, möller went back to hessen to his home club eintracht frankfurt, which had just been promoted to the bundesliga. celebrated by the fans before the season as a great returnee and a guarantee of success, disillusionment quickly spread. möller only played eleven league games and only played 90 minu... | wikipedia |
b73f153a25278abd194df6a0800e3fd4f725657a | in the summer of 2000, in order to | in the summer of 2000, in order to risk a fresh start, möller decided to sign with arch-rivals schalke 04 in dortmund, especially since he received a well-paid offer from rudi assauer. despite criticism, he immediately became a regular there and formed the backbone of schalke's midfield in his first year with jörg böhm... | wikipedia |
0eb851d61de32d6b17800dde0a7f811c23e41cd2 | in his last year with the black and | in his last year with the black and yellows, möller only made 18 league appearances, being substituted on or off seven times. reasons for this were the strong competition from players like lars ricken, christian nerlinger, miroslav stević and vladimir but as well as minor injuries. | wikipedia |
9849bf5d7e1ea2ad680d355bb5cbc04b93c39963 | during this time, however, there was also controversy | during this time, however, there was also controversy and debate surrounding möller, after he feigned a foul inside the opposing box in a game against karlsruher sc on 13 april 1995, when bvb had been trailing 0–1. the then wrongly awarded penalty led to the equalising goal (1–1), with the final score ending in an even... | wikipedia |
606e03584f129fc781770637770c435d1be735e1 | his greatest success at club level came in | his greatest success at club level came in the 1996–97 champions league: in the final at munich's olympic stadium on 28 may 1997, and saw him once again beating a former team, turin side juventus on this occasion, with a 3–1 victory, providing two assists during the match, while his corner also led to the opening goal.... | wikipedia |
727aa07f35483141af2f29cb0cb48ba66e57cca3 | despite performing well at juventus, möller decided to | despite performing well at juventus, möller decided to return to germany in the summer of 1994 and signed for borussia dortmund for the second time. upon his return to dortmund, he won several domestic titles with the club, including consecutive bundesliga titles in 1995 and 1996. he stayed with the club for a total of... | wikipedia |
c115603d2ec132b307a6d3011fe1e6458b5b7d28 | after moving to italian side juventus, he won | after moving to italian side juventus, he won the uefa cup in 1993, beating out his former club, borussia dortmund, 6–1 on aggregate, with möller scoring one of the goals and providing three assists across both legs of the final. | wikipedia |
56eeceba5a05a8109b97ee75ce884513846c884c | möller also wanted to play for eintracht frankfurt | möller also wanted to play for eintracht frankfurt in the 1992–93 season. however, he had promised the serie a club juventus an option right for dm 1.3 million, which the club redeemed in march 1992. the turin side had resold this option right to atalanta b.c., whom möller would have had to join if juventus fc had not ... | wikipedia |
976b39cfab70aa9f007602fa79762983afa33c61 | möller was a top performer at borussia but | möller was a top performer at borussia but returned to frankfurt in the summer of 1990. in the first year after his return, he scored 16 goals in the bundesliga, setting a personal record that he would not surpass until the end of his career. in the 1991–92 season he missed out on winning the title with frankfurt on th... | wikipedia |
907c27a8ab42d56de4664c712eaa097c57017296 | on 17 february 1988, möller made his debut | on 17 february 1988, möller made his debut for borussia dortmund, scoring the opening goal against vfl bochum in the 42nd minute at home; however, the game ended in a 2-1 defeat for the black and yellows, despite bvb leading 1-0 up until the 88th minute. on the 26th day of the 1987–88 season, against his future employe... | wikipedia |
cb63254e25d1e227490cb7f259285ad6e0920fcc | möller began his career at bsc schwarz-weiß 1919 | möller began his career at bsc schwarz-weiß 1919 frankfurt and moved to eintracht frankfurt in 1981. in 1985 the midfielder won the german a-youth championship and in the same year he joined the first-team squad, venturing into professional football. he played his first game in germany's highest football class on the l... | wikipedia |
6c1d07ce7350572610ad081a3b5a7debdd752768 | at club level, möller played for eintracht frankfurt | at club level, möller played for eintracht frankfurt (1985–87, 1990–92, 2003–04), borussia dortmund (1988–90, 1994–2000), juventus (1992–94), and schalke 04 (2000–03). | wikipedia |
2108f88b8793cbc74df979594f2381be558d279a | möller's first club was bsc schwarz-weiß 1919 frankfurt, | möller's first club was bsc schwarz-weiß 1919 frankfurt, where his father worked as a youth football coach. his coach there was klaus gerster, who became his closest friend and later served as an advisor and negotiator throughout his career. | wikipedia |
2f958232cc8e48ef916ba5f3d04c457413371a66 | from 1985 to 2004 möller played in 429 | from 1985 to 2004 möller played in 429 bundesliga games for eintracht frankfurt, borussia dortmund and fc schalke 04, scoring 110 goals, and also played in serie a for juventus fc. he was a member of the germany teams that won the 1990 fifa world cup and uefa euro 1996, and is also a champions league winner, uefa cup w... | wikipedia |
dee642794addf8cd8338a25fd9f1a494d2962c33 | sir gilbert edward archey was a new zealand | sir gilbert edward archey was a new zealand zoologist, ethnologist, world war i officer, and museum director. he wrote one of the major works on the moa, based on his own field work and collection. he also published numerous articles and described many new animal species. | wikipedia |
1d41998326dd6c6133b2b7fc5f0204bf137f9edc | he was appointed an officer of the order | he was appointed an officer of the order of the british empire in 1919, for services in connection with military operations in france and flanders, and promoted to commander of the order of the british empire in the 1958 queen's birthday honours. in 1935, he was awarded the king george v silver jubilee medal, and in 19... | wikipedia |
d4de187468947e6d1a701050e50ce475f09c248b | he was on the new zealand university grants | he was on the new zealand university grants committee, 1948–51, 1954–60, and on the council of the royal society of new zealand, being president from 1941 to 1942. he was a member of the maori purposes fund board, the waitangi national trust board, and the auckland branch of the royal society, and the queen elizabeth i... | wikipedia |
6180335a592880e258b8f14c8d46469710186de7 | after a period teaching at nelson college, archey | after a period teaching at nelson college, archey was assistant curator of the canterbury museum from 1914 to 1923, where he studied and published papers on numerous new zealand fauna. he particularly worked on new zealand moa, dinornithiformes, extinct macroflauna birds. in 1924 he participated in the 1924 chatham isl... | wikipedia |
564f63debd521dd8a4a88c2b167f5806b4b39840 | archey was born to thomas archey and sarah | archey was born to thomas archey and sarah triffitt in york, england in 1890, and emigrated to new zealand with his parents, at age two. he graduated from canterbury university college, christchurch, with the degree of m.a. with honours in zoology in 1913. | wikipedia |
e75a41a96c5df0607930122244982a7df3ff6dad | sir gilbert edward archey cbe frsnz (4 august | sir gilbert edward archey cbe frsnz (4 august 1890 – 20 october 1974) was a new zealand zoologist, ethnologist, world war i officer, and museum director. he wrote one of the major works on the moa, based on his own field work and collection. he also published numerous articles and described many new animal species. | wikipedia |
c44c2e8e24f13d2ee2be990555455e5a48e42e9e | popp was a key player in helping machida | popp was a key player in helping machida zelvia gain promotion to the j1 league in the 2023 season. in january 2024, it was announced that popp would be joining yokohama f. marinos. | wikipedia |
3c30f8b80a12d412b34b5a823f20c7d4858d0352 | william popp (ポープ・ウィリアム, pōpu uiriamu, born 21 october | william popp (ポープ・ウィリアム, pōpu uiriamu, born 21 october 1994) is a japanese professional footballer who plays as a goalkeeper for j1 league club yokohama f. marinos. | wikipedia |
bc9ce7d33a107b0b394f328f6308354e49da786e | reed–muller codes are error-correcting codes that are used | reed–muller codes are error-correcting codes that are used in wireless communications applications, particularly in deep-space communication. moreover, the proposed 5g standard relies on the closely related polar codes for error correction in the control channel. due to their favorable theoretical and mathematical prop... | wikipedia |
228f5da5e48545feeab8a9d43660806f3ec88b52 | all rm(r, m) codes with 0 ≤ m | all rm(r, m) codes with 0 ≤ m ≤ 5 {\displaystyle 0\leq m\leq 5} and alphabet size 2 are displayed here, annotated with the standard coding theory notation for block codes. the code rm(r, m) is a 2 {\displaystyle \textstyle _{2}} -code, that is, it is a linear code over a binary alphabet, has block length 2 m {\displays... | wikipedia |
ccb2058769547f0d0b9d881277ffa33941ce276d | from this construction, rm(r,m) is a binary linear | from this construction, rm(r,m) is a binary linear block code (n, k, d) with length n = 2, dimension k (r, m) = k (r, m − 1) + k (r − 1, m − 1) {\displaystyle k(r,m)=k(r,m-1)+k(r-1,m-1)} and minimum distance d = 2 m − r {\displaystyle d=2^{m-r}} for r ≥ 0 {\displaystyle r\geq 0}. the dual code to rm(r,m) is rm(m - r -1... | wikipedia |
ff8511d0f2bd5b52b9cadc4cecbd48cd18d8ff06 | a reed–muller code rm(r,m) exists for any integers | a reed–muller code rm(r,m) exists for any integers m ≥ 0 {\displaystyle m\geq 0} and 0 ≤ r ≤ m {\displaystyle 0\leq r\leq m}. rm(m, m) is defined as the universe (2 m, 2 m, 1 {\displaystyle 2^{m},2^{m},1}) code. rm(− 1,m) is defined as the trivial code (2 m, 0, ∞ {\displaystyle 2^{m},0,\infty }). the remaining rm codes... | wikipedia |
8343fbf26df027a6e988cfc47ae35b9317075f68 | one clue if the decoding succeeded, is to | one clue if the decoding succeeded, is to have an all-zero modified received word, at the end of (r + 1)-stage decodingthrough the majority logic decoding. this technique was proposed by irving s. reed, and is more general when appliedto other finite geometry codes. | wikipedia |
200b7875a506fa42b72fbe055270353e276fff8e | rm(r, m) codes can be decoded using majority | rm(r, m) codes can be decoded using majority logic decoding. the basic idea of majority logic decoding isto build several checksums for each received code word element. since each of the different checksums must allhave the same value (i.e. the value of the message word element weight), we can use a majority logic deco... | wikipedia |
ec142e2246de4af63eaf82df34a7fc60e8c2b441 | the reed – muller rm(r, m) code of | the reed – muller rm(r, m) code of order r and length n = 2 is the code generated by v and the wedge products of up to r of the v, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the operation). in other words, we can build a generator matrix for the rm(r, m) code, using vect... | wikipedia |
1deb5ee2f3cda367a5b02808173272835a5afdd8 | we define in n -dimensional space f 2 | we define in n -dimensional space f 2 n {\displaystyle \mathbb {f} _{2}^{n}} the following vectors with length n: v 0 = (1, 1, …, 1) {\displaystyle n:v_{0}=(1,1,\ldots,1)} and | wikipedia |
077f163a07b3a44815ef152166a7eddfb1e64c6a | (f 2) m = { (y m, …, | (f 2) m = { (y m, …, y 1) ∣ y i ∈ f 2 }. {\displaystyle (\mathbb {f} _{2})^{m}=\{(y_{m},\ldots,y_{1})\mid y_{i}\in \mathbb {f} _{2}\}.} | wikipedia |
84a86046a3d010f6ea541ad5faa93f1e1eee42f3 | f 2 m {\displaystyle \mathbb {f} _{2}^{m}} is | f 2 m {\displaystyle \mathbb {f} _{2}^{m}} is an m -dimensional vector space over the field f 2 {\displaystyle \mathbb {f} _{2}}, so it is possible to write | wikipedia |
030e571d5ef08582ca5d456934c071c482277a56 | referred to as the wedge product (not to | referred to as the wedge product (not to be confused with the wedge product defined in exterior algebra). here, w = (w 1, w 2, …, w n) {\displaystyle w=(w_{1},w_{2},\ldots,w_{n})} and z = (z 1, z 2, …, z n) {\displaystyle z=(z_{1},z_{2},\ldots,z_{n})} are points in f 2 n {\displaystyle \mathbb {f} _{2}^{n}} (n -dimensi... | wikipedia |
e5ebb79352c74e5bf1962c22492b2b3e152ce058 | using low-degree polynomials over a finite field f | using low-degree polynomials over a finite field f {\displaystyle \mathbb {f} } of size q {\displaystyle q}, it is possible to extend the definition of reed – muller codes to alphabets of size q {\displaystyle q}. let m {\displaystyle m} and d {\displaystyle d} be positive integers, where m {\displaystyle m} should be ... | wikipedia |
8ad804cdc346f35e0f8949956b435eca2d754bc7 | for the degree 0, we have 16 sums | for the degree 0, we have 16 sums of only 1 bit. the minority is still of size 1, and we found p x = 1 + x 1 + x 3 + x 1 x 3 + x 2 x 3 + x 3 x 4 {\textstyle p_{x}=1+x_{1}+x_{3}+x_{1}x_{3}+x_{2}x_{3}+x_{3}x_{4}} and the corresponding initial word 1 1010 010101 | wikipedia |
769c3c4aa357cddfcc430b5c9bb7e28db423ede7 | then we'll find 0 for μ = x | then we'll find 0 for μ = x 2 {\textstyle \mu =x_{2}}, 1 for μ = x 1 {\textstyle \mu =x_{1}} and the current code become 1111 1111 1111 1011. | wikipedia |
04c1a3c0b8787ed054724fd9c3c45fc918fd9535 | one error detected, coefficient is 0, no change | one error detected, coefficient is 0, no change to current code.we know now all coefficient of degree 2 for the polynomial, we can start mononials of degree 1. notice that for each next degree, there are twice as much sums, and each sums is half smaller. | wikipedia |
32dd5360c898fc4348d87716318525582af3e0d5 | we remove μ {\textstyle \mu } from the | we remove μ {\textstyle \mu } from the code before continue : code : 1101 1110 0001 0110, valuation of μ {\textstyle \mu } is 0001000100010001, the new code is 1100 1111 0000 0111 | wikipedia |
72cd9aef09f0b50edafa435b9175232b2828d8f1 | the four sums don't agree (so we know | the four sums don't agree (so we know there is an error), but the minority report is not larger than the maximum number of error allowed (1), so we take the majority and the coefficient of μ {\textstyle \mu } is 1. | wikipedia |
1d0b1d5879e4d75f87f8b41c037142fb79ad059c | let's consider the previous example and start from | let's consider the previous example and start from the code. with r = 2, m = 4 {\textstyle r=2,m=4} we can fix at most 1 error in the code.consider the input code as 1101 1110 0001 0110 (this is the previous code with one error). | wikipedia |
2f64b069757bd8f8c4f11ba53853c4592757e5a7 | to take into account the possibility of errors, | to take into account the possibility of errors, you can also remark that you can fix the value of other variables to any value. so instead of doing the sum only once for other variables not in μ {\textstyle \mu } with 0 value, you do it 2 m − d {\textstyle 2^{m-d}} times for each fixed valuations of the other variables... | wikipedia |
3f89a57ba7631c7f70ae640a0e913d3cc1100773 | if you consider a monomial μ {\textstyle \mu | if you consider a monomial μ {\textstyle \mu } of the highest degree d {\textstyle d} in p x {\textstyle p_{x}} and sum all the evaluation points of the polynomial where all variables in μ {\textstyle \mu } have the values 0 or 1, and all the other variables have value 0, you get the value of the coefficient (0 or 1) o... | wikipedia |
2789e7376cb77419495c33edd9769e67f0be33eb | the algorithm from reed is based on the | the algorithm from reed is based on the following property:you start from the code word, that is a sequence of evaluation points from an unknown polynomial p x {\textstyle p_{x}} of f 2 {\textstyle {\mathbb {f} }_{2}} of degree at most r {\textstyle r} that you want to find. the sequence may contains any number of erro... | wikipedia |
3760c00ae33f4578f7384247cfb0b1c9c93c1570 | as was already mentioned, lagrange interpolation can be | as was already mentioned, lagrange interpolation can be used to efficiently retrieve the message from a codeword. however, a decoder needs to work even if the codeword has been corrupted in a few positions, that is, when the received word is different from any codeword. in this case, a local decoding procedure can help... | wikipedia |
478e41b8dc25e7a57e3f63e85dc901f838ea6cce | p x (1100) = 0, p x (1101) | p x (1100) = 0, p x (1101) = 0, p x (1110) = 1, p x (1111) = 0. {\displaystyle p_{x}(1100)=0,\;p_{x}(1101)=0,\;p_{x}(1110)=1,\;p_{x}(1111)=0\,.} as a result, c(1 1010 010101) = 1101 1110 0001 0010 holds. | wikipedia |
da01e8ea0d65ddcd7ccbb3042a14207374fc1067 | p x (1000) = 0, p x (1001) | p x (1000) = 0, p x (1001) = 0, p x (1010) = 0, p x (1011) = 1, {\displaystyle p_{x}(1000)=0,\;p_{x}(1001)=0,\;p_{x}(1010)=0,\;p_{x}(1011)=1,\;} | wikipedia |
ee9260bd36ee52b0eb93d823de3824478e6f61c9 | p x (0100) = 1, p x (0101) | p x (0100) = 1, p x (0101) = 1, p x (0110) = 1, p x (0111) = 0, {\displaystyle p_{x}(0100)=1,\;p_{x}(0101)=1,\;p_{x}(0110)=1,\;p_{x}(0111)=0,\;} | wikipedia |
3469deedd07108d88f229990884a4df1d04ef816 | let c: { 0, 1 } 11 → | let c: { 0, 1 } 11 → { 0, 1 } 16 {\textstyle c:\{0,1\}^{11}\to \{0,1\}^{16}} be the encoding function just defined. to encode the string x = 1 1010 010101 of length 11, the encoder first constructs the polynomial p x {\textstyle p_{x}} in 4 variables: p x (z 1, z 2, z 3, z 4) = 1 + (1 ⋅ z 1 + 0 ⋅ z 2 + 1 ⋅ z 3 + 0 ⋅ z ... | wikipedia |
1e7dec227dd5a298cc0dda017b18727a05702ffe | let c: { 0, 1 } 11 → | z_{3}z_{4})\\&=1+z_{1}+z_{3}+z_{1}z_{3}+z_{2}z_{3}+z_{3}z_{4}\end{aligned}}} then it evaluates this polynomial at all 16 evaluation points (0101 means z 1 = 0, z 2 = 1, z 3 = 0, z 4 = 1) {\displaystyle z_{1}=0,z_{2}=1,z_{3}=0,z_{4}=1)}: p x (0000) = 1, p x (0001) = 1, p x (0010) = 0, p x (0011) = 1, {\displaystyle p_{... | wikipedia |
8262c9c81c7ceb6a1a28eb309ee54ad8506845f8 | r = 2 m = 4 k = | r = 2 m = 4 k = (4 2) + (4 1) + (4 0) = 6 + 4 + 1 = 11 n = 2 m = 16 {\textstyle {\begin{aligned}r&=2\\m&=4\\k&=\textstyle {\binom {4}{2}}+{\binom {4}{1}}+{\binom {4}{0}}=6+4+1=11\\n&=2^{m}=16\\\end{aligned}}} | wikipedia |
676dfc98a75bf0427a5b3eb50c81e727412142d3 | the fact that the codeword c (x) {\displaystyle | the fact that the codeword c (x) {\displaystyle c(x)} suffices to uniquely reconstruct x {\displaystyle x} follows from lagrange interpolation, which states that the coefficients of a polynomial are uniquely determined when sufficiently many evaluation points are given. since c (0) = 0 {\displaystyle c(0)=0} and c (x +... | wikipedia |
c07892224a05383aeff03cd02540473b9ee66b75 | a block code can have one or more | a block code can have one or more encoding functions c: { 0, 1 } k → { 0, 1 } n {\textstyle c:\{0,1\}^{k}\to \{0,1\}^{n}} that map messages x ∈ { 0, 1 } k {\textstyle x\in \{0,1\}^{k}} to codewords c (x) ∈ { 0, 1 } n {\textstyle c(x)\in \{0,1\}^{n}}. the reed – muller code rm(r, m) has message length k = ∑ i = 0 r (m i... | wikipedia |
e70e295327af0c7d5b830a3b3666ea98bfe82c78 | a block code can have one or more | 1 } {\textstyle c_{s}\in \{0,1\}} are the coefficients of the polynomial. note that there are exactly k = ∑ i = 0 r (m i) {\textstyle k=\sum _{i=0}^{r}{\binom {m}{i}}} coefficients. with this in mind, an input message consists of k {\textstyle k} values x ∈ { 0, 1 } k {\textstyle x\in \{0,1\}^{k}} which are used as th... | wikipedia |
8ab7bf152dae0a70290a5ee9b06d015412c58aaa | traditional reed–muller codes are binary codes, which means | traditional reed–muller codes are binary codes, which means that messages and codewords are binary strings. when r and m are integers with 0 ≤ r ≤ m, the reed–muller code with parameters r and m is denoted as rm(r, m). when asked to encode a message consisting of k bits, where k = ∑ i = 0 r (m i) {\displaystyle \textst... | wikipedia |
88b55566682ce577c49acf9e90079f783e7049ab | reed–muller codes generalize the reed–solomon codes and the | reed–muller codes generalize the reed–solomon codes and the walsh–hadamard code. reed–muller codes are linear block codes that are locally testable, locally decodable, and list decodable. these properties make them particularly useful in the design of probabilistically checkable proofs. | wikipedia |
508dc1bf2a93bb9f9399b38895c72f088b356b3f | reed–muller codes are error-correcting codes that are used | reed–muller codes are error-correcting codes that are used in wireless communications applications, particularly in deep-space communication. moreover, the proposed 5g standard relies on the closely related polar codes for error correction in the control channel. due to their favorable theoretical and mathematical prop... | wikipedia |
a0416efdb9ba64c449ddd8970ae2941184388f4a | ernie drew "black jack" barrett was an american | ernie drew "black jack" barrett was an american professional basketball player for the boston celtics of the national basketball association (nba). he played college basketball for the kansas state wildcats. he was selected by the celtics in the first round of the 1951 nba draft with the seventh overall pick. | wikipedia |
cdc4568eae2b6ceaa03dc8b43bbf0a3ce96df9e7 | barrett was selected by the boston celtics in | barrett was selected by the boston celtics in the 1st round (7th pick overall) of the 1951 nba draft and played for the celtics (1953–54, 1955–56) in the nba for 131 games. | wikipedia |
bdc17ecafbf5a7d3e616e3493563727c7458375d | ernie drew "black jack" barrett (august 27, 1929 | ernie drew "black jack" barrett (august 27, 1929 – april 21, 2023) was an american professional basketball player for the boston celtics of the national basketball association (nba). he played college basketball for the kansas state wildcats. he was selected by the celtics in the first round of the 1951 nba draft with ... | wikipedia |
ed437a1f7f9d9a721bce34c64aba1309957b611e | alexander sergeevich vasyunov was a russian ice hockey | alexander sergeevich vasyunov was a russian ice hockey player who played for lokomotiv yaroslavl in the kontinental hockey league. alexander vasyunov was a prospect for the new jersey devils in the nhl. he was drafted in the second round 58th overall in the 2006 nhl entry draft. vasyunov died in the 2011 lokomotiv yaro... | wikipedia |
47ba23a30d106387c83cb6d1ce09a2b500b7c4e9 | vasyunov was killed on september 7, 2011, in | vasyunov was killed on september 7, 2011, in the lokomotiv yaroslavl plane crash. a yakovlev yak-42 passenger aircraft carrying nearly his entire lokomotiv team crashed on takeoff, just outside yaroslavl, russia. the team was traveling to minsk to play their opening game of the season, with its coaching staff and prosp... | wikipedia |
305c843c8477516e5c14f281a45a9666ba224ef7 | vasyunov scored his first nhl goal on november | vasyunov scored his first nhl goal on november 12, 2010, against devan dubnyk of the edmonton oilers. he re-joined lokomotiv yaroslavl on june 27, 2011, signing a one–year contract with the team. | wikipedia |
374b5a0f4cd178707c8403efc8fe27fb0152280b | vasyunov was selected in the second round, 58th | vasyunov was selected in the second round, 58th overall, of the 2006 nhl entry draft by the new jersey devils. he remained with his russian team until the 2008–09 season, when he moved to the american hockey league, playing in albany, new york. in his third season in the ahl, he was called up to play for the devils, in... | wikipedia |
5f876c9de08dc7f6c775e9b73536240247ab4970 | alexander sergeevich vasyunov (russian: Алекса́ндр Серге́евич Васю́нов; april | alexander sergeevich vasyunov (russian: Алекса́ндр Серге́евич Васю́нов; april 22, 1988 – september 7, 2011) was a russian ice hockey player who played for lokomotiv yaroslavl in the kontinental hockey league. alexander vasyunov was a prospect for the new jersey devils in the nhl. he was drafted in the second round 58th... | wikipedia |
54db2e3f0bdae4f37c81eedd70caa32d8a5a74ee | the 1928–29 new york rangers season was the | the 1928–29 new york rangers season was the franchise's third season. during the regular season, the rangers finished in second place in the american division with a 21–13–10 record and qualified for the stanley cup playoffs. in the postseason, the rangers won series against the new york americans and toronto maple lea... | wikipedia |
54db2e3f0bdae4f37c81eedd70caa32d8a5a74ee | the 1928–29 new york rangers season was the | the 1928–29 new york rangers season was the franchise's third season. during the regular season, the rangers finished in second place in the american division with a 21–13–10 record and qualified for the stanley cup playoffs. in the postseason, the rangers won series against the new york americans and toronto maple lea... | wikipedia |
8924774ba4507f304f6f94fdd4f8b95b34ec83d2 | rockchip is a chinese fabless semiconductor company based | rockchip is a chinese fabless semiconductor company based in fuzhou, fujian province. rockchip has been providing soc products for tablets & pcs, streaming media tv boxes, ai audio & vision, iot hardware since founded in 2001. it has offices in shanghai, beijing, shenzhen, hangzhou and hong kong. it designs system on a... | wikipedia |
48c4284ff35582480797b721d6630a94d1bc5ff6 | as of october 2014, rockchip was already offering | as of october 2014, rockchip was already offering intel's xmm 6321, for low-end smartphones. it has two chips: a dual-core application processor (either with intel processor cores or arm cortex-a5 cores) with integrated modem (xg632) and an integrated rf chip (ag620) that originates from the cellular chip division of i... | wikipedia |
3988cc8d901203a82958361a11986884d527e32f | in may 2014, intel announced an agreement with | in may 2014, intel announced an agreement with rockchip to jointly deliver an intel-branded mobile soc platform based on intel's atom processor and 3g modem technology. under the terms of the agreement, the two companies will deliver an intel-branded mobile soc platform. the quad-core platform will be based on an intel... | wikipedia |
4e0f28baa9f66c73c7d31147bd54957c25909d07 | after establishing a position early in the developing | after establishing a position early in the developing chinese tablet soc market, in 2012 it faced a challenge by allwinner. in 2012, rockchip shipped 10.5 million tablet processors, compared to 27.5 million for allwinner. however, for q3 2013, rockchip was forecast to ship 6 million tablet-use application processors in... | wikipedia |
811844f47558476351f893dcbe75f86f2f60b695 | in the market for socs for tablets, rockchip | in the market for socs for tablets, rockchip faces competition with allwinner technology, mediatek, intel, actions semiconductor, spreadtrum, leadcore technology, samsung semiconductor, qualcomm, broadcom, via technologies and amlogic. | wikipedia |
1588d447d97538132599c19a6f76dafab09acd26 | rockchip provides open source software on github and | rockchip provides open source software on github and maintains a wiki linux sdk website to offer free downloads of soc hardware documents and software development resources as well as third-party development kits info. the chipsets available are rk3399, rk3288, rk3328 and rk3036. | wikipedia |
901a2e2756a01a13b28680961ca49e6a6214210b | sbcs include 96boards rk1808, boardcon em3399, firefly rk3399, | sbcs include 96boards rk1808, boardcon em3399, firefly rk3399, khadas edge, lenovo leez lp710, nanopi m4b, rock pi 4, pine64 rockpro64, orange pi 4, and zidoo m9. | wikipedia |
7b94b5d8343900ba8572fc3dab7897841299a939 | the rk3399, also known as op1 announced by | the rk3399, also known as op1 announced by arm at mobile world congress in february 2016, features six 64 bit cpus, including 2 cortex-a72 and 4 cortex-a53. the rk3399 is used for the development of the open source panfrost driver for arm mali gpu midgard series. | wikipedia |
2d216cad6e4a0401b05e49713f916350ede55220 | rockchip announced rk3368, the first member of the | rockchip announced rk3368, the first member of the rk33xx family, at the ces show in january 2015. the rk3368 is a soc targeting tablets and media boxes featuring a 64-bit octa-core cortex-a53 cpu and an opengl es 3.1-class gpu. | wikipedia |
bc34a2b561805589364e19bc84bf990ef54ec3c0 | however, on the arm community website, arm clarified | however, on the arm community website, arm clarified the situation on october 1, 2014, saying that cortex-a12, for which rockchip is one of the few known customers, will be called cortex-a17 from now on, and that all references to cortex-a12 have been removed from arm's website. arm explained that the latest production... | wikipedia |
05ab28e1ede2d7e2c6cf02d2330eb9dad6ae4b20 | recent testing of early rk3288-based tv boxes (august/september | recent testing of early rk3288-based tv boxes (august/september 2014) provided evidence that the rk3288 technically contains cortex-a12 cores, since the " arm 0xc0d " cpu architecture reported by cpu-z for android is the reference for cortex-a12, while the original cortex-a17 is referred to as " arm 0xc0e ". | wikipedia |
751bb9fbd1cc896b4a2354ee405308cadb01292b | in january 2014, official marketing materials listed the | in january 2014, official marketing materials listed the cpu cores as arm cortex-a17. at the ces electronics show in january 2014, someone apparently corrected the cpu specification as being arm cortex-a12 instead of cortex-a17 on one of the panels of their show booth. however, since then, official specifications from ... | wikipedia |
69165bd6071e96d59b5a630f25d93dfef0093e05 | early reports including rockchip first suggested in summer | early reports including rockchip first suggested in summer 2013 that the rk3288 was originally designed using a quad-core arm cortex-a12 configuration. rockchip's primary foundry partner globalfoundries announced a partnership with arm to optimize the arm cortex-a12 for their 28 nm-slp process. this is the same process... | wikipedia |
a87c4d6f164b4f601f1e3c3e2ac9825a54bac1c1 | rockchip has announced the rk3288 for production in | rockchip has announced the rk3288 for production in the second quarter of 2014. recent information suggests that the chip uses a quad-core arm cortex-a17 cpu, although technically arm cortex-a12, which as of october 1, 2014, arm has decided to also refer to as cortex-a17 because the latest production version of cortex-... | wikipedia |
3381cb79af57e628b75c5683077b2c96bb16cae7 | the rk3128 is a higher-end variant of rk3126, | the rk3128 is a higher-end variant of rk3126, also to be introduced in q4 2014, that features more integrated external interfaces, including cvbs, hdmi, ethernet mac, s/pdif, audio dac, and usb. it targets more fully featured tablets and set-top boxes. | wikipedia |
10724b37d531103cb18999631e2d44cad4199472 | the rk3126 is an entry-level tablet processor introduced | the rk3126 is an entry-level tablet processor introduced in q4 2014. manufactured using a 40 nm process, it features a quad-core cortex-a7 cpu up to 1.3 ghz and a mali-400 mp2 gpu. it is pin-compatible with rk3026 and rk2926. | wikipedia |
68556382ed4aefdc5747f46888acb070db79a899 | the rk3168, first shown in april 2013, is | the rk3168, first shown in april 2013, is a dual-core cortex a9-based cpu, also manufactured using the 28 nm process. it is targeted at low-end tablets. the chip has seen only limited use as of may 2014. | wikipedia |
01a41f1f27bc9989e5dac05580a8b260dc0f014f | the rk3188t is a lower-clocked version of the | the rk3188t is a lower-clocked version of the rk3188, with the cpu cores running at a maximum speed of 1.4 ghz instead of 1.6 ghz. the mali-400mp4 gpu is also clocked at a lower speed. as of early 2014, many devices advertised as using a rk3188 with a maximum clock speed of 1.6 ghz actually have a rk3188t with clock sp... | wikipedia |
54876acdaf508cfe6a6b06f8bf3f2b3846197654 | the rk3188 was the first product in the | the rk3188 was the first product in the rk31xx series, announced for production in the 2nd quarter of 2013. the rk3188 features a quad-core arm cortex-a9 clocked up to 1.6 ghz frequency. it is targeted at tablets and android tv dongles and boxes, and has been a popular choice for both tablets and other devices requirin... | wikipedia |
73ea6ab4f813b36906dd28b01d1cfcaaf191a327 | the rk3026 is an updated ultra-low-end dual-core arm | the rk3026 is an updated ultra-low-end dual-core arm cortex-a9 -based tablet processor clocked at 1.0 ghz with arm mali-400 mp2 gpu. manufactured at 40 nm, it is pin-compatible with the rk2926. it features 1080p h.264 video encoding and 1080p decoding in multiple formats. supporting android 4.4, it has been adopted for... | wikipedia |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.