search-api.org
1 #+TITLE: Searx API request 2 3 This is related to issue 4 https://gitlab.iscpif.fr/gargantext/haskell-gargantext/issues/70 5 6 #+begin_src restclient 7 :domain := "https://searx.frame.gargantext.org" 8 POST :domain/ 9 Content-Type: application/x-www-form-urlencoded 10 category_general=1&q=banach%20space&pageno=1&time_range=None&language=en-US&format=json 11 #+end_src 12 13 #+RESULTS: 14 #+BEGIN_SRC js 15 { 16 "query": "banach space", 17 "number_of_results": 93700.0, 18 "results": [ 19 { 20 "url": "https://en.wikipedia.org/wiki/Banach_space", 21 "title": "Banach space", 22 "engine": "wikipedia", 23 "parsed_url": [ 24 "https", 25 "en.wikipedia.org", 26 "/wiki/Banach_space", 27 "", 28 "", 29 "" 30 ], 31 "engines": [ 32 "wikipedia" 33 ], 34 "positions": [ 35 1 36 ], 37 "score": 1.0, 38 "category": "general", 39 "pretty_url": "https://en.wikipedia.org/wiki/Banach_space" 40 }, 41 { 42 "url": "http://mathworld.wolfram.com/BanachSpace.html", 43 "title": "Banach Space -- from Wolfram MathWorld", 44 "content": "10/05/2021 · A Banach space is a complete vector space with a norm . Two norms and are called equivalent if they give the same topology , which is equivalent to the existence of constants and such that. (1) and. (2) hold for all . In the finite-dimensional case, all norms are equivalent.", 45 "engine": "bing", 46 "parsed_url": [ 47 "http", 48 "mathworld.wolfram.com", 49 "/BanachSpace.html", 50 "", 51 "", 52 "" 53 ], 54 "engines": [ 55 "bing" 56 ], 57 "positions": [ 58 1 59 ], 60 "score": 1.0, 61 "category": "general", 62 "pretty_url": "http://mathworld.wolfram.com/BanachSpace.html" 63 }, 64 { 65 "url": "https://en.wikipedia.org/wiki/List_of_Banach_spaces", 66 "title": "List of Banach spaces - Wikipedia", 67 "content": "25 lignes · Classical Banach spaces. According to Diestel (1984, Chapter VII), the classical Banach …", 68 "engine": "bing", 69 "parsed_url": [ 70 "https", 71 "en.wikipedia.org", 72 "/wiki/List_of_Banach_spaces", 73 "", 74 "", 75 "" 76 ], 77 "engines": [ 78 "bing" 79 ], 80 "positions": [ 81 2 82 ], 83 "score": 0.5, 84 "category": "general", 85 "pretty_url": "https://en.wikipedia.org/wiki/List_of_Banach_spaces" 86 }, 87 { 88 "url": "https://encyclopediaofmath.org/wiki/Banach_space", 89 "title": "Banach space - Encyclopedia of Mathematics", 90 "content": "According to Diestel (1984, Chapter VII), the classical Banach spaces are those defined by Dunford & Schwartz (1958), which is the source for the following table. Here K denotes the field of real numbers or complex numbers and I is a closed and bounded interval [a,b]. The number p is a real number with 1 < p < ∞, and q is its Hölder conjugate (also with 1 < q < ∞), so that the next equation holds: $${\\displaystyle {\\frac {1}{q}}+{\\frac {1}{p}}=1,}$$According to Diestel (1984, Chapter VII), the classical Banach spaces are those defined by Dunford & Schwartz (1958), which is the source for the following table. Here K denotes the field of real numbers or complex numbers and I is a closed and bounded interval [a,b]. The number p is a real number with 1 < p < ∞, and q is its Hölder conjugate (also with 1 < q < ∞), so that the next equation holds: $${\\displaystyle {\\frac {1}{q}}+{\\frac {1}{p}}=1,}$$and thus $${\\displaystyle q={\\frac {p}{p-1}}.}$$The symbol Σ denotes a σ-algebra of sets, and Ξ denotes just an algebra of sets (for spaces only requiring finite additivity, such as the ba space). The symbol μ denotes a positive measure: that is, a real-valued positive set function defined on a σ-algebra which is countably additive.", 91 "engine": "bing", 92 "parsed_url": [ 93 "https", 94 "encyclopediaofmath.org", 95 "/wiki/Banach_space", 96 "", 97 "", 98 "" 99 ], 100 "engines": [ 101 "bing" 102 ], 103 "positions": [ 104 3 105 ], 106 "score": 0.3333333333333333, 107 "category": "general", 108 "pretty_url": "https://encyclopediaofmath.org/wiki/Banach_space" 109 }, 110 { 111 "url": "https://www.techopedia.com/definition/17852/banach-space", 112 "title": "What is Banach Space? - Definition from Techopedia", 113 "content": "22/03/2017 · In functional analysis, a Banach space is a normed vector space that allows vector length to be computed. When the vector space is normed, that means that each vector other than the zero vector has a length that is greater than zero. The length and distance between two vectors can thus be computed. The vector space is complete, meaning a Cauchy sequence of vectors in a Banach space …", 114 "engine": "bing", 115 "parsed_url": [ 116 "https", 117 "www.techopedia.com", 118 "/definition/17852/banach-space", 119 "", 120 "", 121 "" 122 ], 123 "engines": [ 124 "bing" 125 ], 126 "positions": [ 127 4 128 ], 129 "score": 0.25, 130 "category": "general", 131 "pretty_url": "https://www.techopedia.com/definition/17852/banach-space" 132 }, 133 { 134 "url": "https://www.sciencedirect.com/topics/mathematics/banach-spaces", 135 "title": "Banach Spaces - an overview | ScienceDirect Topics", 136 "content": "A Banach spaceis a complete normed linear space. Example 4.3 The spaces RN,CNare vector spaces which are also complete metric spaces with any of the norms ∥⋅∥p, hence they are Banach spaces. Similarly C(E), Lp(E) are Banach spaces with norms indicated above. □", 137 "engine": "bing", 138 "parsed_url": [ 139 "https", 140 "www.sciencedirect.com", 141 "/topics/mathematics/banach-spaces", 142 "", 143 "", 144 "" 145 ], 146 "engines": [ 147 "bing" 148 ], 149 "positions": [ 150 5 151 ], 152 "score": 0.2, 153 "category": "general", 154 "pretty_url": "https://www.sciencedirect.com/topics/mathematics/banach-spaces" 155 }, 156 { 157 "url": "https://people.math.gatech.edu/~heil/handouts/banach.pdf", 158 "title": "Banach Spaces - gatech.edu", 159 "content": "07/09/2006 · have already said that “a Banach space is complete” if every Cauchy sequence in the space converges. The term “complete sequences” defined in this section is a completely separate definition that applies to sets of vectors in a Hilbert or Banach space (although we …", 160 "engine": "bing", 161 "parsed_url": [ 162 "https", 163 "people.math.gatech.edu", 164 "/~heil/handouts/banach.pdf", 165 "", 166 "", 167 "" 168 ], 169 "engines": [ 170 "bing" 171 ], 172 "positions": [ 173 6 174 ], 175 "score": 0.16666666666666666, 176 "category": "general", 177 "pretty_url": "https://people.math.gatech.edu/~heil/handouts/banach.pdf" 178 }, 179 { 180 "url": "https://ncatlab.org/nlab/show/Banach+space", 181 "title": "Banach space in nLab", 182 "content": "", 183 "engine": "bing", 184 "parsed_url": [ 185 "https", 186 "ncatlab.org", 187 "/nlab/show/Banach+space", 188 "", 189 "", 190 "" 191 ], 192 "engines": [ 193 "bing" 194 ], 195 "positions": [ 196 7 197 ], 198 "score": 0.14285714285714285, 199 "category": "general", 200 "pretty_url": "https://ncatlab.org/nlab/show/Banach+space" 201 }, 202 { 203 "url": "https://www.numerade.com/books/chapter/structure-of-banach-spaces/", 204 "title": "Structure of Banach Spaces | Functional Analysis", 205 "content": "Structure of Banach Spaces, Functional Analysis and InfiniteDimensional Geometry - Marián Fabian, Petr Habala, Petr Hájek | All the textbook answers and step-b…", 206 "engine": "bing", 207 "parsed_url": [ 208 "https", 209 "www.numerade.com", 210 "/books/chapter/structure-of-banach-spaces/", 211 "", 212 "", 213 "" 214 ], 215 "engines": [ 216 "bing" 217 ], 218 "positions": [ 219 8 220 ], 221 "score": 0.125, 222 "category": "general", 223 "pretty_url": "https://www.numerade.com/books/chapter/structure-of-banach-spaces/" 224 }, 225 { 226 "url": "http://www.ma.huji.ac.il/~razk/iWeb/My_Site/Teaching_files/Banach.pdf", 227 "title": "2. Banach spaces - ma.huji.ac.il", 228 "content": "Definition 2.1A Banach space is a complete, normed, vector space. Comment 2.1Completeness is a metric space concept. In a normed space the metric is d(x,y)=x−y. Note that this metric satisfies the following “special\" properties: ¿ The underlying space is a vector space.", 229 "engine": "bing", 230 "parsed_url": [ 231 "http", 232 "www.ma.huji.ac.il", 233 "/~razk/iWeb/My_Site/Teaching_files/Banach.pdf", 234 "", 235 "", 236 "" 237 ], 238 "engines": [ 239 "bing" 240 ], 241 "positions": [ 242 9 243 ], 244 "score": 0.1111111111111111, 245 "category": "general", 246 "pretty_url": "http://www.ma.huji.ac.il/~razk/iWeb/My_Site/Teaching_files/Banach.pdf" 247 } 248 ], 249 "answers": [], 250 "corrections": [], 251 "infoboxes": [ 252 { 253 "infobox": "Banach space", 254 "id": "https://en.wikipedia.org/wiki/Banach_space", 255 "content": "In mathematics, more specifically in functional analysis, a Banach space (pronounced [ˈbanax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well defined limit that is within the space.", 256 "img_src": null, 257 "urls": [ 258 { 259 "title": "Wikipedia", 260 "url": "https://en.wikipedia.org/wiki/Banach_space" 261 }, 262 { 263 "title": "Wikidata", 264 "url": "https://www.wikidata.org/wiki/Q194397?uselang=en" 265 } 266 ], 267 "engine": "wikidata", 268 "attributes": [ 269 { 270 "label": "Inception", 271 "value": "1920" 272 } 273 ] 274 } 275 ], 276 "suggestions": [], 277 "unresponsive_engines": [] 278 } 279 // POST https://searx.frame.gargantext.org/ 280 // HTTP/1.1 200 OK 281 // Server: nginx/1.14.2 282 // Date: Tue, 27 Jul 2021 17:20:48 GMT 283 // Content-Type: application/json 284 // Content-Length: 8020 285 // Connection: keep-alive 286 // Server-Timing: total;dur=1826.455, total_0_go;dur=248.527, total_1_wp;dur=352.718, total_2_bi;dur=628.671, total_3_wd;dur=1822.518, load_0_go;dur=234.185, load_1_wp;dur=348.323, load_2_bi;dur=595.242, load_3_wd;dur=1778.783 287 // Request duration: 2.159931s 288 #+END_SRC