token
sequence | label
sequence |
|---|---|
[
"airships",
"includes",
"ballistic",
"vehicles",
"aviation",
"technically",
"ref",
"name",
"americana",
"significant",
"part",
"'''aeronautical",
"science'''",
"branch",
"dynamics",
"called",
"aerodynamics",
"deals",
"motion",
"air",
"way",
"interacts",
"objects",
"motion",
"aircraft",
"history",
"early",
"ideas",
"designs",
"flying",
"machines",
"leonardo",
"da",
"vinci",
"circa",
"attempts",
"fly",
"without",
"real",
"aeronautical",
"understanding",
"made",
"earliest",
"times",
"typically",
"constructing",
"wings",
"jumping",
"tower",
"crippling",
"lethal",
"results",
"wiser",
"investigators",
"sought",
"gain",
"rational",
"understanding"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"study",
"bird",
"flight",
"medieval",
"islamic",
"golden",
"age",
"scientists",
"abbas",
"ibn",
"firnas",
"also",
"made",
"studies",
"ref",
"name",
"ei",
"ref",
"ref",
"name",
"lienhard",
"ref",
"ref",
"name",
"lynn",
"white",
"f",
"lynn",
"townsend",
"white",
"jr",
"spring",
"eilmer",
"malmesbury",
"eleventh",
"century",
"aviator",
"case",
"study",
"technological",
"innovation",
"context",
"tradition",
"''technology",
"culture''",
"'''",
"'''",
"p",
"f",
"ref",
"founders",
"modern",
"aeronautics",
"leonardo",
"da",
"vinci",
"renaissance",
"cayley",
"began",
"investigations",
"studies",
"bird",
"flight",
"man",
"carrying",
"kites",
"believed",
"used",
"extensively",
"ancient",
"china",
"italian",
"explorer",
"marco",
"polo",
"described"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"chinese",
"techniques",
"current",
"ref",
"name",
"pelham",
"pelham",
"''the",
"penguin",
"book",
"kites''",
"penguin",
"ref",
"chinese",
"also",
"constructed",
"small",
"hot",
"air",
"balloons",
"lanterns",
"rotary",
"wing",
"toys",
"early",
"european",
"provide",
"scientific",
"discussion",
"flight",
"roger",
"bacon",
"described",
"principles",
"operation",
"lighter",
"air",
"balloon",
"flapping",
"wing",
"ornithopter",
"envisaged",
"would",
"constructed",
"future",
"lifting",
"medium",
"balloon",
"would",
"aether",
"whose",
"composition",
"know",
"late",
"fifteenth",
"century",
"leonardo",
"da",
"vinci",
"followed",
"study",
"birds",
"designs",
"earliest",
"flying",
"machines"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"death",
"reappear",
"overtaken",
"work",
"george",
"cayley",
"balloon",
"flight",
"francesco",
"lana",
"de",
"terzi",
"'s",
"flying",
"boat",
"concept",
"c",
"modern",
"era",
"lighter",
"air",
"flight",
"began",
"early",
"th",
"century",
"galileo",
"'s",
"experiments",
"showed",
"air",
"weight",
"around",
"cyrano",
"de",
"bergerac",
"wrote",
"fantasy",
"novels",
"described",
"principle",
"ascent",
"using",
"substance",
"dew",
"supposed",
"lighter",
"air",
"descending",
"releasing",
"controlled",
"amount",
"substance",
"francesco",
"lana",
"de",
"terzi",
"measured",
"pressure",
"air",
"sea"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"level",
"proposed",
"first",
"scientifically",
"credible",
"lifting",
"medium",
"form",
"hollow",
"metal",
"spheres",
"air",
"pumped",
"would",
"lighter",
"displaced",
"air",
"able",
"lift",
"airship",
"proposed",
"methods",
"controlling",
"height",
"still",
"use",
"today",
"carrying",
"ballast",
"may",
"dropped",
"overboard",
"gain",
"height",
"venting",
"lifting",
"containers",
"lose",
"height",
"practice",
"de",
"terzi",
"'s",
"spheres",
"would",
"collapsed",
"air",
"pressure",
"developments",
"wait",
"practicable",
"lifting",
"gases",
"montgolfier",
"brothers",
"flight"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"mid",
"th",
"century",
"montgolfier",
"brothers",
"france",
"began",
"experimenting",
"balloons",
"balloons",
"made",
"paper",
"early",
"experiments",
"using",
"steam",
"lifting",
"gas",
"short",
"lived",
"due",
"effect",
"paper",
"condensed",
"mistaking",
"smoke",
"kind",
"steam",
"began",
"filling",
"balloons",
"hot",
"smoky",
"air",
"called",
"electric",
"smoke",
"despite",
"fully",
"understanding",
"principles",
"work",
"made",
"successful",
"launches",
"invited",
"give",
"demonstration",
"french",
"''acad",
"mie",
"des",
"sciences''",
"meanwhile",
"discovery",
"hydrogen",
"led",
"joseph",
"black",
"c",
"propose"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"use",
"lifting",
"gas",
"though",
"practical",
"demonstration",
"awaited",
"gas",
"tight",
"balloon",
"material",
"hearing",
"montgolfier",
"brothers'",
"invitation",
"french",
"academy",
"member",
"jacques",
"charles",
"offered",
"similar",
"demonstration",
"hydrogen",
"balloon",
"charles",
"two",
"craftsmen",
"robert",
"brothers",
"developed",
"gas",
"tight",
"material",
"rubberised",
"silk",
"envelope",
"hydrogen",
"gas",
"generated",
"chemical",
"reaction",
"filling",
"process",
"montgolfier",
"designs",
"several",
"shortcomings",
"least",
"need",
"dry",
"weather",
"tendency",
"sparks",
"fire",
"set",
"light",
"paper",
"balloon",
"manned",
"design"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"elongated",
"dirigible",
"balloon",
"notable",
"outer",
"envelope",
"gas",
"contained",
"second",
"inner",
"ballonet",
"september",
"completed",
"first",
"flight",
"nbsp",
"km",
"paris",
"beuvry",
"despite",
"man",
"powered",
"propulsive",
"devices",
"proving",
"useless",
"attempt",
"next",
"year",
"provide",
"endurance",
"controllability",
"de",
"rozier",
"developed",
"balloon",
"hot",
"air",
"hydrogen",
"gas",
"bags",
"design",
"soon",
"named",
"''rozi",
"re''",
"principle",
"use",
"hydrogen",
"section",
"constant",
"lift",
"navigate",
"vertically",
"heating",
"allowing",
"cool"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"principles",
"forces",
"flight",
"began",
"publication",
"landmark",
"three",
"part",
"treatise",
"titled",
"aerial",
"navigation",
"ref",
"name",
"aernav",
"''cayley",
"george''",
"aerial",
"navigation",
"http",
"wwwaeronauticsnasagov",
"fap",
"onaerialnavigationpt",
"pdf",
"part",
"http",
"wwwaeronauticsnasagov",
"fap",
"onaerialnavigationpt",
"pdf",
"part",
"http",
"wwwaeronauticsnasagov",
"fap",
"onaerialnavigationpt",
"pdf",
"part",
"''nicholson",
"'s",
"journal",
"natural",
"philosophy''",
"via",
"nasa",
"http",
"inventionpsychologymsstateedu",
"cayley",
"cayleyhtml",
"raw",
"text",
"retrieved",
"may",
"ref",
"wrote",
"first",
"scientific",
"statement",
"problem",
"whole",
"problem",
"confined",
"within",
"limits",
"viz",
"make",
"surface",
"support",
"given",
"weight",
"application",
"power",
"resistance",
"air",
"identified",
"four",
"vector"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"forces",
"influence",
"aircraft",
"''thrust''",
"''lift''",
"'",
"'drag''",
"''weight''",
"distinguished",
"stability",
"control",
"designs",
"developed",
"modern",
"conventional",
"form",
"fixed",
"wing",
"aeroplane",
"stabilising",
"tail",
"horizontal",
"vertical",
"surfaces",
"flying",
"gliders",
"unmanned",
"manned",
"introduced",
"use",
"whirling",
"arm",
"test",
"rig",
"investigate",
"aerodynamics",
"flight",
"using",
"discover",
"benefits",
"curved",
"cambered",
"aerofoil",
"flat",
"wing",
"used",
"first",
"glider",
"also",
"identified",
"described",
"importance",
"dihedral",
"diagonal",
"bracing",
"drag",
"reduction",
"contributed"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"balloons",
"airships",
"aeronautical",
"engineering",
"aeronautical",
"engineering",
"covers",
"design",
"construction",
"aircraft",
"including",
"powered",
"used",
"controlled",
"safe",
"operation",
"major",
"part",
"aeronautical",
"engineering",
"aerodynamics",
"science",
"passing",
"air",
"increasing",
"activity",
"space",
"flight",
"nowadays",
"aeronautics",
"astronautics",
"often",
"combined",
"aerospace",
"engineering",
"aerodynamics",
"science",
"aerodynamics",
"deals",
"motion",
"air",
"way",
"interacts",
"objects",
"motion",
"aircraft",
"study",
"aerodynamics",
"falls",
"broadly",
"three",
"areas",
"''incompressible"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"flow''",
"occurs",
"air",
"simply",
"moves",
"avoid",
"objects",
"typically",
"subsonic",
"speeds",
"sound",
"mach",
"''compressible",
"flow''",
"occurs",
"shock",
"waves",
"appear",
"points",
"air",
"becomes",
"compressed",
"typically",
"speeds",
"mach",
"''transonic",
"flow''",
"occurs",
"intermediate",
"speed",
"range",
"around",
"mach",
"airflow",
"object",
"may",
"locally",
"subsonic",
"one",
"point",
"locally",
"supersonic",
"another",
"rocketry",
"launch",
"apollo",
"saturn",
"v",
"rocket",
"''t''",
"''t''",
"rocket",
"rocket",
"vehicle",
"missile",
"spacecraft",
"aircraft"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"vehicle",
"obtains",
"thrust",
"rocket",
"engine",
"rockets",
"exhaust",
"formed",
"entirely",
"propellants",
"carried",
"within",
"rocket",
"use",
"ref",
"name",
"rpe",
"ref",
"rocket",
"engines",
"work",
"action",
"reaction",
"rocket",
"engines",
"push",
"rockets",
"forwards",
"simply",
"throwing",
"exhaust",
"backwards",
"extremely",
"fast",
"rockets",
"military",
"recreational",
"uses",
"date",
"back",
"least",
"th",
"century",
"china",
"ref",
"name",
"nasaearly",
"ref",
"significant",
"scientific",
"interplanetary",
"industrial",
"use",
"occur",
"th",
"century",
"rocketry",
"enabling",
"technology",
"space",
"age",
"including",
"setting",
"foot",
"moon",
"rockets",
"used",
"fireworks",
"weaponry",
"ejection",
"seats",
"launch",
"vehicles",
"artificial"
] | [
"Applied science",
"Engineering and technology",
"Mechanical Engineering",
"Aerospace engineering",
"Aeronautics"
] |
[
"mathematics",
"'''associative",
"algebra'''",
"''a''",
"algebraic",
"structure",
"compatible",
"operations",
"addition",
"multiplication",
"assumed",
"associative",
"scalar",
"multiplication",
"elements",
"field",
"addition",
"multiplication",
"operations",
"together",
"give",
"''a''",
"structure",
"ring",
"addition",
"scalar",
"multiplication",
"operations",
"together",
"give",
"''a''",
"structure",
"vector",
"space",
"''k''",
"article",
"also",
"use",
"term",
"''k''",
"algebra'''",
"mean",
"associative",
"algebra",
"field",
"''k''",
"standard",
"first",
"example",
"''k''",
"algebra",
"ring",
"square",
"matrices",
"field",
"''k''",
"usual",
"matrix"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"multiplication",
"'''commutative",
"algebra'''",
"associative",
"algebra",
"commutative",
"multiplication",
"equivalently",
"associative",
"algebra",
"also",
"commutative",
"ring",
"article",
"associative",
"algebras",
"assumed",
"multiplicative",
"identity",
"denoted",
"sometimes",
"called",
"'''unital",
"associative",
"algebras'''",
"clarification",
"areas",
"mathematics",
"assumption",
"made",
"call",
"structures",
"non",
"unital",
"associative",
"algebras",
"also",
"assume",
"rings",
"unital",
"ring",
"homomorphisms",
"unital",
"many",
"authors",
"consider",
"general",
"concept",
"associative",
"algebra",
"commutative",
"ring",
"''r''",
"instead"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"''r''",
"''r''",
"''x''",
"''y''",
"algebra",
"definition",
"implies",
"algebra",
"unital",
"since",
"rings",
"supposed",
"multiplicative",
"identity",
"equivalently",
"associative",
"algebra",
"''a''",
"ring",
"together",
"ring",
"homomorphism",
"''r''",
"center",
"''a''",
"''f''",
"homomorphism",
"scalar",
"multiplication",
"math",
"rx",
"mapsto",
"f",
"r",
"x",
"math",
"multiplication",
"ring",
"multiplication",
"scalar",
"multiplication",
"given",
"ring",
"homomorphism",
"given",
"math",
"r",
"mapsto",
"r",
"cdot",
"r",
"math",
"see",
"also",
"every",
"ring",
"associative",
"math",
"mathbb",
"z",
"math",
"algebra",
"math",
"mathbb",
"z",
"math",
"denotes",
"ring",
"integers"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"''''''",
"associative",
"algebra",
"also",
"commutative",
"ring",
"monoid",
"object",
"category",
"modules",
"definition",
"equivalent",
"saying",
"unital",
"associative",
"''r''",
"algebra",
"monoid",
"object",
"'''''r''",
"mod'''",
"monoidal",
"category",
"''r''",
"modules",
"definition",
"ring",
"monoid",
"object",
"category",
"abelian",
"groups",
"thus",
"notion",
"associative",
"algebra",
"obtained",
"replacing",
"category",
"abelian",
"groups",
"category",
"modules",
"pushing",
"idea",
"authors",
"introduced",
"generalized",
"ring",
"monoid",
"object",
"category"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"behaves",
"like",
"category",
"modules",
"indeed",
"reinterpretation",
"allows",
"one",
"avoid",
"making",
"explicit",
"reference",
"elements",
"algebra",
"''a''",
"example",
"associativity",
"expressed",
"follows",
"universal",
"property",
"tensor",
"product",
"modules",
"multiplication",
"''r''",
"bilinear",
"map",
"corresponds",
"unique",
"''r''",
"linear",
"map",
"math",
"otimes",
"r",
"math",
"associativity",
"refers",
"identity",
"math",
"circ",
"operatorname",
"id",
"otimes",
"circ",
"otimes",
"operatorname",
"id",
"math",
"ring",
"homomorphisms",
"associative",
"algebra",
"amounts",
"ring",
"homomorphism",
"whose",
"image",
"lies",
"center",
"indeed",
"starting",
"ring",
"''a''"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"ring",
"homomorphism",
"''",
"''",
"appearing",
"often",
"called",
"structure",
"map",
"commutative",
"case",
"one",
"consider",
"category",
"whose",
"objects",
"ring",
"homomorphisms",
"''r''",
"''a''",
"ie",
"commutative",
"''r''",
"algebras",
"whose",
"morphisms",
"ring",
"homomorphisms",
"''a''",
"''a''",
"''r''",
"ie",
"''r''",
"''a''",
"''a''",
"''r''",
"''a''",
"ie",
"coslice",
"category",
"category",
"commutative",
"rings",
"''r''",
"prime",
"spectrum",
"functor",
"spec",
"determines",
"anti",
"equivalence",
"category",
"category",
"affine",
"schemes",
"spec",
"''r''",
"weaken",
"commutativity",
"assumption",
"subject",
"matter"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"noncommutative",
"algebraic",
"geometry",
"recently",
"derived",
"algebraic",
"geometry",
"see",
"also",
"generic",
"matrix",
"ring",
"algebra",
"homomorphisms",
"homomorphism",
"two",
"''r''",
"algebras",
"''r''",
"linear",
"ring",
"homomorphism",
"explicitly",
"math",
"varphi",
"math",
"'''associative",
"algebra",
"homomorphism'''",
"math",
"begin",
"align",
"varphi",
"r",
"cdot",
"x",
"r",
"cdot",
"varphi",
"x",
"varphi",
"x",
"varphi",
"x",
"varphi",
"varphi",
"xy",
"varphi",
"x",
"varphi",
"varphi",
"end",
"align",
"math",
"class",
"''r''",
"algebras",
"together",
"algebra",
"homomorphisms",
"form",
"category",
"sometimes",
"denoted",
"'''''r''",
"alg'''",
"subcategory",
"commutative",
"''r''",
"algebras",
"characterized",
"coslice",
"category",
"''r''",
"'''cring'''",
"'''cring'''",
"category"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"commutative",
"rings",
"examples",
"basic",
"example",
"ring",
"algebra",
"center",
"subring",
"lying",
"center",
"particular",
"commutative",
"ring",
"algebra",
"subrings",
"examples",
"abound",
"algebra",
"fields",
"mathematics",
"algebra",
"ring",
"''a''",
"considered",
"'''z'''",
"algebra",
"unique",
"ring",
"homomorphism",
"'''z'''",
"''a''",
"determined",
"fact",
"must",
"send",
"identity",
"''a''",
"therefore",
"rings",
"'''z'''",
"algebras",
"equivalent",
"concepts",
"way",
"abelian",
"groups",
"'''z'''",
"modules"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"algebra",
"reals",
"algebra",
"complex",
"numbers",
"since",
"complex",
"numbers",
"center",
"quaternions",
"polynomials",
"real",
"coefficients",
"form",
"commutative",
"algebra",
"reals",
"every",
"polynomial",
"ring",
"''r''",
"''x''",
"sub",
"sub",
"''x",
"sub",
"n",
"sub",
"''",
"commutative",
"''r''",
"algebra",
"fact",
"free",
"commutative",
"''r''",
"algebra",
"set",
"''x''",
"sub",
"sub",
"''x",
"sub",
"n",
"sub",
"''",
"free",
"''r''",
"algebra",
"set",
"''e''",
"algebra",
"polynomials",
"coefficients",
"''r''",
"noncommuting",
"indeterminates",
"taken",
"set",
"''e''",
"tensor",
"algebra",
"''r''",
"module",
"naturally",
"associative",
"''r''",
"algebra",
"true"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"circ",
"bt",
"abt",
"math",
"determined",
"condition",
"ring",
"axioms",
"additive",
"identity",
"multiplicative",
"identity",
"math",
"math",
"math",
"math",
"canonical",
"structure",
"math",
"g",
"math",
"algebra",
"given",
"ring",
"homomorphism",
"math",
"display",
"block",
"begin",
"cases",
"g",
"sum",
"mapsto",
"end",
"cases",
"math",
"hand",
"''a''",
"ring",
"ring",
"homomorphism",
"math",
"display",
"block",
"begin",
"cases",
"g",
"mapsto",
"sum",
"lambda",
"end",
"cases",
"math",
"giving",
"math",
"g",
"math",
"structure",
"''a''",
"algebra",
"representation",
"theory"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"universal",
"enveloping",
"algebra",
"lie",
"algebra",
"associative",
"algebra",
"used",
"study",
"given",
"lie",
"algebra",
"''g''",
"group",
"''r''",
"commutative",
"ring",
"set",
"functions",
"''g''",
"''r''",
"finite",
"support",
"form",
"''r''",
"algebra",
"convolution",
"multiplication",
"called",
"group",
"algebra",
"''g''",
"construction",
"starting",
"point",
"application",
"study",
"discrete",
"groups",
"''g''",
"algebraic",
"group",
"eg",
"semisimple",
"complex",
"lie",
"group",
"coordinate",
"ring",
"''g''",
"hopf",
"algebra",
"''a''",
"corresponding"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"''g''",
"many",
"structures",
"''g''",
"translate",
"''a''",
"quiver",
"algebra",
"path",
"algebra",
"directed",
"graph",
"free",
"associative",
"algebra",
"field",
"generated",
"paths",
"graph",
"analysis",
"given",
"banach",
"space",
"''x''",
"continuous",
"linear",
"operators",
"''a''",
"''x''",
"''x''",
"form",
"associative",
"algebra",
"using",
"composition",
"operators",
"multiplication",
"banach",
"algebra",
"given",
"topological",
"space",
"''x''",
"continuous",
"real",
"complex",
"valued",
"functions",
"''x''",
"form",
"real",
"complex",
"associative",
"algebra",
"functions",
"added",
"multiplied",
"pointwise",
"set",
"semimartingales",
"defined"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"filtered",
"probability",
"space",
"omega",
"nbsp",
"''f''",
"nbsp",
"''f",
"sub",
"sub",
"''",
"sub",
"''t''",
"nbsp",
"ge",
"nbsp",
"sub",
"nbsp",
"p",
"forms",
"ring",
"stochastic",
"integration",
"weyl",
"algebra",
"azumaya",
"algebra",
"geometry",
"combinatorics",
"clifford",
"algebras",
"useful",
"geometry",
"physics",
"incidence",
"algebras",
"locally",
"finite",
"partially",
"ordered",
"sets",
"associative",
"algebras",
"considered",
"combinatorics",
"constructions",
"subalgebras",
"subalgebra",
"''r''",
"algebra",
"''a''",
"subset",
"''a''",
"subring",
"submodule",
"''a''",
"must",
"closed",
"addition",
"ring",
"multiplication",
"scalar",
"multiplication",
"must",
"contain",
"identity",
"element",
"''a''",
"quotient",
"algebras",
"let",
"''a''",
"''r''",
"algebra",
"ring",
"theoretic",
"ideal",
"''i''"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"math",
"action",
"math",
"x",
"cdot",
"otimes",
"b",
"axb",
"math",
"definition",
"''a''",
"said",
"separable",
"multiplication",
"map",
"math",
"otimes",
"r",
"x",
"otimes",
"mapsto",
"xy",
"math",
"splits",
"math",
"e",
"math",
"linear",
"map",
"math",
"otimes",
"math",
"math",
"e",
"math",
"module",
"math",
"x",
"otimes",
"cdot",
"otimes",
"b",
"ax",
"otimes",
"yb",
"math",
"equivalently",
"math",
"math",
"separable",
"projective",
"module",
"math",
"e",
"math",
"thus",
"math",
"e",
"math",
"projective",
"dimension",
"''a''",
"sometimes",
"called",
"'''bidimension'''",
"''a''",
"measures",
"failure",
"separability",
"finite",
"dimensional",
"algebra",
"let",
"''a''",
"finite",
"dimensional",
"algebra",
"field"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"''k''",
"''a''",
"artinian",
"ring",
"commutative",
"case",
"''a''",
"artinian",
"commutative",
"finite",
"product",
"artinian",
"local",
"rings",
"whose",
"residue",
"fields",
"algebras",
"base",
"field",
"''k''",
"reduced",
"artinian",
"local",
"ring",
"field",
"thus",
"following",
"equivalent",
"math",
"math",
"separable",
"math",
"otimes",
"overline",
"k",
"math",
"reduced",
"math",
"overline",
"k",
"math",
"algebraic",
"closure",
"''k''",
"math",
"otimes",
"overline",
"k",
"overline",
"k",
"n",
"math",
"''n''",
"math",
"dim",
"k",
"math",
"number",
"math",
"k",
"math",
"algebra",
"homomorphisms",
"math",
"overline",
"k",
"math",
"noncommutative",
"case",
"since",
"simple",
"artinian",
"ring"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"intersection",
"left",
"maximal",
"ideals",
"intersection",
"right",
"maximal",
"ideals",
"'''wedderburn",
"principal",
"theorem'''",
"states",
"finite",
"dimensional",
"algebra",
"''a''",
"nilpotent",
"ideal",
"''i''",
"projective",
"dimension",
"math",
"math",
"math",
"e",
"math",
"module",
"one",
"natural",
"surjection",
"math",
"p",
"math",
"splits",
"ie",
"math",
"math",
"contains",
"subalgebra",
"math",
"b",
"math",
"math",
"p",
"b",
"b",
"overset",
"sim",
"math",
"isomorphism",
"taking",
"''i''",
"jacobson",
"radical",
"theorem",
"says",
"particular",
"jacobson",
"radical",
"complemented",
"semisimple",
"algebra",
"theorem",
"analog",
"levi",
"'s",
"theorem",
"lie",
"algebras"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"lattices",
"orders",
"let",
"''r''",
"noetherian",
"integral",
"domain",
"field",
"fractions",
"''k''",
"example",
"math",
"mathbb",
"z",
"mathbb",
"q",
"math",
"''lattice''",
"''l''",
"finite",
"dimensional",
"''k''",
"vector",
"space",
"''v''",
"finitely",
"generated",
"''r''",
"submodule",
"''v''",
"spans",
"''v''",
"words",
"math",
"l",
"otimes",
"r",
"k",
"v",
"math",
"let",
"math",
"k",
"math",
"finite",
"dimensional",
"''k''",
"algebra",
"''order''",
"math",
"k",
"math",
"''r''",
"subalgebra",
"lattice",
"general",
"lot",
"fewer",
"orders",
"lattices",
"eg",
"math",
"mathbb",
"z",
"math",
"lattice",
"math",
"mathbb",
"q",
"math",
"order",
"since",
"algebra",
"''maximal"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"''a''",
"endowed",
"two",
"morphisms",
"one",
"form",
"''a''",
"nbsp",
"otimes",
"nbsp",
"''a''",
"nbsp",
"nbsp",
"''a''",
"one",
"form",
"''k''",
"nbsp",
"nbsp",
"''a''",
"satisfying",
"certain",
"conditions",
"boil",
"algebra",
"axioms",
"two",
"morphisms",
"dualized",
"using",
"categorial",
"duality",
"reversing",
"arrows",
"commutative",
"diagrams",
"describe",
"algebra",
"axioms",
"defines",
"structure",
"coalgebra",
"also",
"abstract",
"notion",
"''f''",
"coalgebra",
"''f''",
"functor",
"vaguely",
"related",
"notion",
"coalgebra",
"discussed",
"representations",
"representation",
"algebra",
"''a''",
"algebra",
"homomorphism",
"''",
"''",
"nbsp",
"''a''",
"end",
"''v''",
"''a''",
"endomorphism",
"algebra"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"vector",
"space",
"module",
"''v''",
"property",
"''",
"''",
"algebra",
"homomorphism",
"means",
"''",
"''",
"preserves",
"multiplicative",
"operation",
"''",
"''",
"''xy''",
"nbsp",
"nbsp",
"''",
"''",
"''x''",
"''",
"''",
"''y''",
"''x''",
"''y''",
"''a''",
"''",
"''",
"sends",
"unit",
"''a''",
"unit",
"end",
"''v''",
"identity",
"endomorphism",
"''v''",
"''a''",
"''b''",
"two",
"algebras",
"''",
"''",
"nbsp",
"''a''",
"end",
"''v''",
"''",
"tau",
"''",
"nbsp",
"''b''",
"end",
"''w''",
"two",
"representations",
"canonical",
"representation",
"''a''",
"math",
"otimes",
"math",
"''b''",
"end",
"''v''",
"math",
"otimes",
"math",
"''w''",
"tensor",
"product",
"algebra",
"''a",
"math",
"otimes",
"math",
"b''",
"vector",
"space",
"''v",
"math",
"otimes",
"math"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"w''",
"however",
"natural",
"way",
"defining",
"tensor",
"product",
"two",
"representations",
"single",
"associative",
"algebra",
"way",
"result",
"still",
"representation",
"algebra",
"tensor",
"product",
"without",
"somehow",
"imposing",
"additional",
"conditions",
"''tensor",
"product",
"representations''",
"usual",
"meaning",
"intended",
"result",
"linear",
"representation",
"algebra",
"product",
"vector",
"space",
"imposing",
"additional",
"structure",
"typically",
"leads",
"idea",
"hopf",
"algebra",
"lie",
"algebra",
"demonstrated",
"motivation",
"hopf",
"algebra"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"consider",
"example",
"two",
"representations",
"math",
"sigma",
"rightarrow",
"mathrm",
"end",
"v",
"math",
"math",
"tau",
"rightarrow",
"mathrm",
"end",
"w",
"math",
"one",
"might",
"try",
"form",
"tensor",
"product",
"representation",
"math",
"rho",
"x",
"mapsto",
"sigma",
"x",
"otimes",
"tau",
"x",
"math",
"according",
"acts",
"product",
"vector",
"space",
"math",
"rho",
"x",
"v",
"otimes",
"w",
"sigma",
"x",
"v",
"otimes",
"tau",
"x",
"w",
"math",
"however",
"map",
"would",
"linear",
"since",
"one",
"would",
"math",
"rho",
"kx",
"sigma",
"kx",
"otimes",
"tau",
"kx",
"k",
"sigma",
"x",
"otimes",
"k",
"tau",
"x",
"k",
"sigma",
"x",
"otimes",
"tau",
"x",
"k",
"rho",
"x",
"math",
"''k''",
"''k''",
"one",
"rescue",
"attempt",
"restore",
"linearity",
"imposing",
"additional",
"structure",
"defining",
"algebra",
"homomorphism",
"''a''",
"''a''",
"otimes"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"''a''",
"defining",
"tensor",
"product",
"representation",
"math",
"rho",
"sigma",
"otimes",
"tau",
"circ",
"delta",
"math",
"homomorphism",
"called",
"comultiplication",
"satisfies",
"certain",
"axioms",
"resulting",
"structure",
"called",
"bialgebra",
"consistent",
"definitions",
"associative",
"algebra",
"coalgebra",
"must",
"co",
"associative",
"algebra",
"unital",
"co",
"algebra",
"must",
"co",
"unital",
"well",
"hopf",
"algebra",
"bialgebra",
"additional",
"piece",
"structure",
"called",
"antipode",
"allows",
"define",
"tensor",
"product",
"two",
"representations",
"also",
"hom",
"module",
"two",
"representations"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"similarly",
"done",
"representation",
"theory",
"groups",
"motivation",
"lie",
"algebra",
"one",
"try",
"clever",
"defining",
"tensor",
"product",
"consider",
"example",
"math",
"x",
"mapsto",
"rho",
"x",
"sigma",
"x",
"otimes",
"mbox",
"id",
"w",
"mbox",
"id",
"v",
"otimes",
"tau",
"x",
"math",
"action",
"tensor",
"product",
"space",
"given",
"math",
"rho",
"x",
"v",
"otimes",
"w",
"sigma",
"x",
"v",
"otimes",
"w",
"v",
"otimes",
"tau",
"x",
"w",
"math",
"map",
"clearly",
"linear",
"''x''",
"problem",
"earlier",
"definition",
"however",
"fails",
"preserve",
"multiplication",
"math",
"rho",
"xy",
"sigma",
"x"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"sigma",
"otimes",
"mbox",
"id",
"w",
"mbox",
"id",
"v",
"otimes",
"tau",
"x",
"tau",
"math",
"general",
"equal",
"math",
"rho",
"x",
"rho",
"sigma",
"x",
"sigma",
"otimes",
"mbox",
"id",
"w",
"sigma",
"x",
"otimes",
"tau",
"sigma",
"otimes",
"tau",
"x",
"mbox",
"id",
"v",
"otimes",
"tau",
"x",
"tau",
"math",
"shows",
"definition",
"tensor",
"product",
"naive",
"obvious",
"fix",
"define",
"antisymmetric",
"middle",
"two",
"terms",
"cancel",
"leads",
"concept",
"lie",
"algebra",
"non",
"unital",
"algebras",
"authors",
"use",
"term",
"associative",
"algebra",
"refer",
"structures",
"necessarily",
"multiplicative",
"identity",
"hence",
"consider",
"homomorphisms"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"necessarily",
"unital",
"one",
"example",
"non",
"unital",
"associative",
"algebra",
"given",
"set",
"functions",
"''f''",
"'''r'''",
"'''r'''",
"whose",
"limit",
"''x''",
"nears",
"infinity",
"zero",
"another",
"example",
"vector",
"space",
"continuous",
"periodic",
"functions",
"together",
"convolution",
"product",
"see",
"also",
"abstract",
"algebra",
"algebraic",
"structure",
"algebra",
"field",
"sheaf",
"algebras",
"sort",
"algebra",
"ringed",
"space",
"notes",
"references",
"nathan",
"jacobson",
"structure",
"rings",
"james",
"byrnie",
"shaw",
"http",
"ebookslibrarycornelledu",
"cgi",
"text",
"text",
"idxc",
"math",
"cc",
"math",
"view",
"toc",
"subview",
"short",
"idno",
"synopsis",
"linear",
"associative",
"algebra",
"link",
"cornell",
"university",
"historical",
"math",
"monographs",
"ross",
"street",
"''",
"https",
"webarchiveorg",
"web",
"http",
"www",
"texdevicsmqeduau",
"quantum",
"quantumps",
"quantum",
"groups"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"entr",
"e",
"modern",
"algebra",
"''",
"overview",
"index",
"free",
"notation",
"algebras",
"algebraic",
"geometry"
] | [
"Formal science",
"Mathematics",
"Pure mathematics",
"Algebra",
"Associative algebra"
] |
[
"create",
"perform",
"works",
"art",
"well",
"people",
"use",
"enjoy",
"criticize",
"art",
"aesthetics",
"considers",
"people",
"like",
"works",
"art",
"others",
"well",
"art",
"affect",
"moods",
"even",
"beliefs",
"aesthetics",
"philosophy",
"art",
"ask",
"questions",
"like",
"''art''",
"''work''",
"art",
"makes",
"''good''",
"art",
"scholars",
"field",
"defined",
"aesthetics",
"critical",
"reflection",
"art",
"culture",
"nature",
"modern",
"english",
"term",
"aesthetic",
"also",
"refer",
"set",
"principles",
"underlying",
"works",
"particular",
"art"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"movement",
"theory",
"one",
"speaks",
"example",
"renaissance",
"aesthetic",
"etymology",
"word",
"''aesthetic''",
"derived",
"greek",
"''aisthetikos''",
"meaning",
"aesthetic",
"sensitive",
"sentient",
"pertaining",
"sense",
"perception",
"turn",
"derived",
"''aisthanomai''",
"meaning",
"perceive",
"feel",
"sense",
"related",
"''aisth",
"sis''",
"sensation",
"aesthetics",
"central",
"sense",
"said",
"start",
"series",
"articles",
"pleasures",
"imagination",
"journalist",
"joseph",
"addison",
"wrote",
"early",
"issues",
"magazine",
"''the",
"spectator''",
"term",
"aesthetics",
"appropriated",
"coined",
"new",
"meaning",
"german"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"philosopher",
"alexander",
"baumgarten",
"dissertation",
"''meditationes",
"philosophicae",
"de",
"nonnullis",
"ad",
"poema",
"pertinentibus''",
"philosophical",
"considerations",
"matters",
"pertaining",
"poem",
"ref",
"name",
"guyer",
"ref",
"baumgarten",
"chose",
"aesthetics",
"wished",
"emphasize",
"experience",
"art",
"means",
"knowing",
"baumgarten",
"'s",
"definition",
"aesthetics",
"fragment",
"''aesthetica''",
"occasionally",
"considered",
"first",
"definition",
"modern",
"aesthetics",
"history",
"aesthetics",
"philosophy",
"art",
"ref",
"separate",
"aesthetics",
"philosophy",
"art",
"claiming",
"former",
"study",
"beauty",
"taste",
"latter",
"study",
"works",
"art",
"aesthetics"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"also",
"define",
"art",
"common",
"point",
"disagreement",
"concerns",
"whether",
"art",
"independent",
"moral",
"political",
"purpose",
"aestheticians",
"weigh",
"culturally",
"contingent",
"conception",
"art",
"versus",
"one",
"purely",
"theoretical",
"study",
"varieties",
"art",
"relation",
"physical",
"social",
"culture",
"environments",
"aestheticians",
"also",
"use",
"psychology",
"understand",
"people",
"see",
"hear",
"imagine",
"think",
"learn",
"act",
"relation",
"materials",
"problems",
"art",
"aesthetic",
"psychology",
"studies",
"creative",
"process",
"aesthetic",
"experience",
"aesthetic",
"judgment",
"universals",
"ethics",
"aesthetic",
"judgment",
"aesthetics",
"examines",
"affective",
"domain",
"response",
"object",
"phenomenon",
"judgments"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"aesthetic",
"value",
"rely",
"ability",
"discriminate",
"sensory",
"level",
"however",
"'''aesthetic",
"judgments'''",
"usually",
"go",
"beyond",
"sensory",
"discrimination",
"david",
"hume",
"delicacy",
"taste",
"merely",
"ability",
"detect",
"ingredients",
"composition",
"also",
"sensitivity",
"pains",
"well",
"pleasures",
"escape",
"rest",
"mankind",
"thus",
"sensory",
"discrimination",
"linked",
"capacity",
"pleasure",
"immanuel",
"kant",
"''critique",
"judgment''",
"enjoyment",
"result",
"pleasure",
"arises",
"sensation",
"judging",
"something",
"beautiful",
"third",
"requirement",
"sensation",
"must",
"give",
"rise",
"pleasure",
"engaging"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"reflective",
"contemplation",
"judgments",
"beauty",
"sensory",
"emotional",
"intellectual",
"kant",
"observed",
"man",
"says",
"canary",
"wine",
"agreeable",
"quite",
"content",
"someone",
"else",
"corrects",
"terms",
"reminds",
"say",
"instead",
"agreeable",
"''me''",
"everyone",
"sense",
"taste",
"case",
"beauty",
"different",
"mere",
"agreeableness",
"proclaims",
"something",
"beautiful",
"requires",
"liking",
"others",
"judges",
"everyone",
"speaks",
"beauty"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"property",
"things",
"viewer",
"interpretations",
"beauty",
"may",
"occasion",
"observed",
"possess",
"two",
"concepts",
"value",
"aesthetics",
"taste",
"aesthetics",
"philosophical",
"notion",
"beauty",
"taste",
"result",
"education",
"process",
"awareness",
"elite",
"cultural",
"values",
"learned",
"exposure",
"mass",
"culture",
"bourdieu",
"examined",
"elite",
"society",
"define",
"aesthetic",
"values",
"like",
"taste",
"varying",
"levels",
"exposure",
"values",
"result",
"variations",
"class",
"cultural",
"background",
"education",
"according",
"kant",
"beauty",
"subjective",
"universal",
"thus",
"certain",
"things",
"beautiful",
"everyone",
"opinion",
"w",
"adys",
"aw"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"darwin",
"pointed",
"seeing",
"stripe",
"soup",
"man",
"'s",
"beard",
"disgusting",
"even",
"though",
"neither",
"soup",
"beards",
"disgusting",
"aesthetic",
"judgments",
"may",
"linked",
"emotions",
"like",
"emotions",
"partially",
"embodied",
"physical",
"reactions",
"example",
"awe",
"inspired",
"sublime",
"landscape",
"might",
"physically",
"manifest",
"increased",
"heart",
"rate",
"pupil",
"dilation",
"seen",
"emotions",
"conformed",
"'cultural'",
"reactions",
"therefore",
"aesthetics",
"always",
"characterized",
"'regional",
"responses'",
"francis",
"grose",
"first",
"affirm",
"'rules",
"drawing",
"caricaturas",
"essay",
"comic",
"painting'",
"published",
"w",
"hogarth",
"analysis"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"desirable",
"status",
"symbol",
"may",
"judged",
"repulsive",
"partly",
"signifies",
"consumption",
"offends",
"political",
"moral",
"values",
"context",
"presentation",
"also",
"affects",
"perception",
"artwork",
"artworks",
"presented",
"classical",
"museum",
"context",
"liked",
"rated",
"interesting",
"presented",
"sterile",
"laboratory",
"context",
"specific",
"results",
"depend",
"heavily",
"style",
"presented",
"artwork",
"overall",
"effect",
"context",
"proved",
"important",
"perception",
"artwork",
"effect",
"genuineness",
"whether",
"artwork",
"presented",
"original"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"facsimile",
"copy",
"aesthetic",
"judgments",
"often",
"fine",
"grained",
"internally",
"contradictory",
"likewise",
"aesthetic",
"judgments",
"seem",
"often",
"least",
"partly",
"intellectual",
"interpretative",
"thing",
"means",
"symbolizes",
"often",
"judged",
"modern",
"aestheticians",
"asserted",
"desire",
"almost",
"dormant",
"aesthetic",
"experience",
"yet",
"preference",
"choice",
"seemed",
"important",
"aesthetics",
"th",
"century",
"thinkers",
"point",
"already",
"made",
"hume",
"see",
"mary",
"mothersill",
"beauty",
"critic",
"'s",
"judgment",
"''the",
"blackwell",
"guide",
"aesthetics''",
"thus",
"aesthetic",
"judgments",
"might",
"seen",
"based",
"senses",
"emotions",
"intellectual",
"opinions"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"dutton",
"'s",
"''aesthetic",
"universals''",
"summarized",
"steven",
"pinker",
"''the",
"blank",
"slate''",
"ref",
"expertise",
"virtuosity",
"humans",
"cultivate",
"recognize",
"admire",
"technical",
"artistic",
"skills",
"nonutilitarian",
"pleasure",
"people",
"enjoy",
"art",
"art",
"'s",
"sake",
"demand",
"keep",
"warm",
"put",
"food",
"table",
"style",
"artistic",
"objects",
"performances",
"satisfy",
"rules",
"composition",
"place",
"recognizable",
"style",
"criticism",
"people",
"make",
"point",
"judging",
"appreciating",
"interpreting",
"works",
"art",
"imitation",
"important",
"exceptions",
"like",
"abstract",
"painting",
"works",
"art",
"simulate",
"experiences",
"world",
"special",
"focus",
"art"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"set",
"aside",
"ordinary",
"life",
"made",
"dramatic",
"focus",
"experience",
"artists",
"thomas",
"hirschhorn",
"indicated",
"many",
"exceptions",
"dutton",
"'s",
"categories",
"example",
"hirschhorn",
"'s",
"installations",
"deliberately",
"eschew",
"technical",
"virtuosity",
"people",
"appreciate",
"renaissance",
"madonna",
"aesthetic",
"reasons",
"objects",
"often",
"sometimes",
"still",
"specific",
"devotional",
"functions",
"rules",
"composition",
"might",
"read",
"duchamp",
"'s",
"''fountain''",
"john",
"cage",
"'s",
"''",
"''",
"locate",
"works",
"recognizable",
"style",
"certainly",
"style",
"recognizable",
"time",
"works'",
"realization",
"moreover",
"dutton",
"'s",
"categories",
"seem"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"broad",
"physicist",
"might",
"entertain",
"hypothetical",
"worlds",
"imagination",
"course",
"formulating",
"theory",
"another",
"problem",
"dutton",
"'s",
"categories",
"seek",
"universalize",
"traditional",
"european",
"notions",
"aesthetics",
"art",
"forgetting",
"andr",
"malraux",
"others",
"pointed",
"large",
"numbers",
"cultures",
"ideas",
"including",
"idea",
"art",
"non",
"existent",
"aesthetic",
"ethics",
"aesthetic",
"ethics",
"refers",
"idea",
"human",
"conduct",
"behaviour",
"ought",
"governed",
"beautiful",
"attractive",
"john",
"dewey",
"pointed",
"unity",
"aesthetics",
"ethics"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"fact",
"reflected",
"understanding",
"behaviour",
"fair",
"word",
"double",
"meaning",
"attractive",
"morally",
"acceptable",
"recently",
"james",
"page",
"suggested",
"aesthetic",
"ethics",
"might",
"taken",
"form",
"philosophical",
"rationale",
"peace",
"education",
"beauty",
"beauty",
"one",
"main",
"subjects",
"aesthetics",
"together",
"art",
"taste",
"ref",
"name",
"stanfordbeauty",
"ref",
"name",
"britannica",
"ref",
"many",
"definitions",
"include",
"idea",
"object",
"beautiful",
"perceiving",
"accompanied",
"aesthetic",
"pleasure",
"among",
"examples",
"beautiful",
"objects",
"landscapes",
"sunsets",
"humans",
"works",
"art",
"beauty",
"positive",
"aesthetic",
"value",
"contrasts"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"ugliness",
"negative",
"counterpart",
"ref",
"name",
"beautyandugliness",
"ref",
"different",
"intuitions",
"commonly",
"associated",
"beauty",
"nature",
"conflict",
"poses",
"certain",
"difficulties",
"understanding",
"ref",
"name",
"zangwill",
"ref",
"name",
"declercq",
"ref",
"one",
"hand",
"beauty",
"ascribed",
"things",
"objective",
"public",
"feature",
"hand",
"seems",
"depend",
"subjective",
"emotional",
"response",
"observer",
"said",
"example",
"beauty",
"eye",
"beholder",
"ref",
"name",
"phrase",
"ref",
"ref",
"name",
"stanfordbeauty",
"ref",
"may",
"possible",
"reconcile",
"intuitions",
"affirming",
"depends",
"objective",
"features",
"beautiful",
"thing"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"subjective",
"response",
"observer",
"one",
"way",
"achieve",
"hold",
"object",
"beautiful",
"power",
"bring",
"certain",
"aesthetic",
"experiences",
"perceiving",
"subject",
"often",
"combined",
"view",
"subject",
"needs",
"ability",
"correctly",
"perceive",
"judge",
"beauty",
"sometimes",
"referred",
"sense",
"taste",
"ref",
"name",
"stanfordbeauty",
"ref",
"name",
"zangwill",
"ref",
"ref",
"name",
"declercq",
"various",
"conceptions",
"define",
"understand",
"beauty",
"suggested",
"''classical",
"conceptions''",
"emphasize",
"objective",
"side",
"beauty",
"defining",
"terms",
"relation",
"beautiful",
"object",
"whole"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"parts",
"parts",
"stand",
"right",
"proportion",
"thus",
"compose",
"integrated",
"harmonious",
"whole",
"ref",
"name",
"stanfordbeauty",
"ref",
"name",
"beautyandugliness",
"ref",
"name",
"declercq",
"''hedonist",
"conceptions''",
"hand",
"focus",
"subjective",
"side",
"drawing",
"necessary",
"connection",
"pleasure",
"beauty",
"eg",
"object",
"beautiful",
"cause",
"disinterested",
"pleasure",
"ref",
"name",
"gorodeisky",
"ref",
"conceptions",
"include",
"defining",
"beautiful",
"objects",
"terms",
"value",
"loving",
"attitude",
"towards",
"function",
"ref",
"name",
"routledgebeauty",
"ref",
"ref",
"name",
"beautyandugliness",
"ref",
"name",
"stanfordbeauty",
"new",
"criticism",
"intentional",
"fallacy",
"first",
"half",
"twentieth",
"century"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"significant",
"shift",
"general",
"aesthetic",
"theory",
"took",
"place",
"attempted",
"apply",
"aesthetic",
"theory",
"various",
"forms",
"art",
"including",
"literary",
"arts",
"visual",
"arts",
"resulted",
"rise",
"new",
"criticism",
"school",
"debate",
"concerning",
"''the",
"intentional",
"fallacy''",
"issue",
"question",
"whether",
"aesthetic",
"intentions",
"artist",
"creating",
"work",
"art",
"whatever",
"specific",
"form",
"associated",
"criticism",
"evaluation",
"final",
"product",
"work",
"art",
"work",
"art",
"evaluated",
"merits",
"independent"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"intentions",
"artist",
"william",
"k",
"wimsatt",
"monroe",
"beardsley",
"published",
"classic",
"controversial",
"new",
"critical",
"essay",
"entitled",
"intentional",
"fallacy",
"argued",
"strongly",
"relevance",
"author",
"'s",
"intention",
"intended",
"meaning",
"analysis",
"literary",
"work",
"wimsatt",
"beardsley",
"words",
"page",
"mattered",
"importation",
"meanings",
"outside",
"text",
"considered",
"irrelevant",
"potentially",
"distracting",
"another",
"essay",
"affective",
"fallacy",
"served",
"kind",
"sister",
"essay",
"intentional",
"fallacy",
"wimsatt",
"beardsley",
"also",
"discounted",
"reader",
"'s"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"personal",
"emotional",
"reaction",
"literary",
"work",
"valid",
"means",
"analyzing",
"text",
"fallacy",
"would",
"later",
"repudiated",
"theorists",
"reader",
"response",
"school",
"literary",
"theory",
"one",
"leading",
"theorists",
"school",
"stanley",
"fish",
"trained",
"new",
"critics",
"fish",
"criticizes",
"wimsatt",
"beardsley",
"essay",
"literature",
"reader",
"summarized",
"berys",
"gaut",
"livingston",
"essay",
"creation",
"art",
"structuralist",
"post",
"structuralists",
"theorists",
"critics",
"sharply",
"critical",
"many",
"aspects",
"new",
"criticism",
"beginning",
"emphasis",
"aesthetic",
"appreciation",
"called",
"autonomy",
"art"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"reiterated",
"attack",
"biographical",
"criticisms'",
"assumption",
"artist",
"'s",
"activities",
"experience",
"privileged",
"critical",
"topic",
"authors",
"contend",
"anti",
"intentionalists",
"formalists",
"hold",
"intentions",
"involved",
"making",
"art",
"irrelevant",
"peripheral",
"correctly",
"interpreting",
"art",
"details",
"act",
"creating",
"work",
"though",
"possibly",
"interest",
"bearing",
"correct",
"interpretation",
"work",
"ref",
"name",
"gaut",
"livingston",
"p",
"gaut",
"livingston",
"p",
"ref",
"gaut",
"livingston",
"define",
"intentionalists",
"distinct",
"formalists",
"stating",
"intentionalists",
"unlike",
"formalists",
"hold",
"reference",
"intentions"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"essential",
"fixing",
"correct",
"interpretation",
"works",
"quote",
"richard",
"wollheim",
"stating",
"task",
"criticism",
"reconstruction",
"creative",
"process",
"creative",
"process",
"must",
"turn",
"thought",
"something",
"stopping",
"short",
"terminating",
"work",
"art",
"ref",
"name",
"gaut",
"livingston",
"p",
"derivative",
"forms",
"aesthetics",
"large",
"number",
"derivative",
"forms",
"aesthetics",
"developed",
"contemporary",
"transitory",
"forms",
"inquiry",
"associated",
"field",
"aesthetics",
"include",
"post",
"modern",
"psychoanalytic",
"scientific",
"mathematical",
"among",
"others",
"post",
"modern",
"aesthetics",
"psychoanalysis",
"early",
"twentieth",
"century",
"artists",
"poets",
"composers"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"challenged",
"existing",
"notions",
"beauty",
"broadening",
"scope",
"art",
"aesthetics",
"eli",
"siegel",
"american",
"philosopher",
"poet",
"founded",
"aesthetic",
"realism",
"philosophy",
"reality",
"aesthetic",
"world",
"art",
"self",
"explain",
"aesthetic",
"oneness",
"opposites",
"various",
"attempts",
"made",
"define",
"post",
"modern",
"aesthetics",
"challenge",
"assumption",
"beauty",
"central",
"art",
"aesthetics",
"thought",
"original",
"actually",
"continuous",
"older",
"aesthetic",
"theory",
"aristotle",
"first",
"western",
"tradition",
"classify",
"beauty",
"types",
"theory",
"drama"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"kant",
"made",
"distinction",
"beauty",
"sublime",
"new",
"refusal",
"credit",
"higher",
"status",
"certain",
"types",
"taxonomy",
"implied",
"preference",
"tragedy",
"sublime",
"comedy",
"rococo",
"croce",
"suggested",
"expression",
"central",
"way",
"beauty",
"thought",
"central",
"george",
"dickie",
"suggested",
"sociological",
"institutions",
"art",
"world",
"glue",
"binding",
"art",
"sensibility",
"unities",
"marshall",
"mcluhan",
"suggested",
"art",
"always",
"functions",
"counter",
"environment",
"designed",
"make",
"visible",
"usually",
"invisible",
"society",
"theodor",
"adorno",
"felt"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"enable",
"us",
"see",
"making",
"impossible",
"see",
"please",
"causing",
"pain",
"sigmund",
"freud",
"inaugurated",
"aesthetical",
"thinking",
"psychoanalysis",
"mainly",
"via",
"uncanny",
"aesthetical",
"affect",
"following",
"freud",
"merleau",
"ponty",
"jacques",
"lacan",
"theorized",
"aesthetics",
"terms",
"sublimation",
"thing",
"relation",
"marxist",
"aesthetics",
"post",
"modern",
"aesthetics",
"still",
"contentious",
"area",
"debate",
"recent",
"aesthetics",
"guy",
"sircello",
"pioneered",
"efforts",
"analytic",
"philosophy",
"develop",
"rigorous",
"theory",
"aesthetics",
"focusing",
"concepts",
"beauty",
"love",
"sublimity",
"contrast",
"romantic",
"theorists",
"sircello",
"argued",
"objectivity",
"beauty"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"practice'",
"gregory",
"loewen",
"suggested",
"subject",
"key",
"interaction",
"aesthetic",
"object",
"work",
"art",
"serves",
"vehicle",
"projection",
"individual",
"'s",
"identity",
"world",
"objects",
"well",
"irruptive",
"source",
"much",
"uncanny",
"modern",
"life",
"well",
"art",
"used",
"memorialize",
"individuated",
"biographies",
"manner",
"allows",
"persons",
"imagine",
"part",
"something",
"greater",
"aesthetics",
"science",
"mandelbrot",
"set",
"continuously",
"coloured",
"environment",
"field",
"experimental",
"aesthetics",
"founded",
"gustav",
"theodor"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"fechner",
"th",
"century",
"experimental",
"aesthetics",
"times",
"characterized",
"subject",
"based",
"inductive",
"approach",
"analysis",
"individual",
"experience",
"behaviour",
"based",
"experimental",
"methods",
"central",
"part",
"experimental",
"aesthetics",
"particular",
"perception",
"works",
"art",
"music",
"modern",
"items",
"websites",
"products",
"studied",
"experimental",
"aesthetics",
"strongly",
"oriented",
"towards",
"natural",
"sciences",
"modern",
"approaches",
"mostly",
"come",
"fields",
"cognitive",
"psychology",
"neuroscience",
"neuroaesthetics",
"abraham",
"moles",
"frieder",
"nake",
"among",
"first",
"analyze",
"links",
"aesthetics",
"information",
"processing",
"information"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"theory",
"j",
"rgen",
"schmidhuber",
"described",
"algorithmic",
"theory",
"beauty",
"takes",
"subjectivity",
"observer",
"account",
"postulates",
"among",
"several",
"observations",
"classified",
"comparable",
"given",
"subjective",
"observer",
"aesthetically",
"pleasing",
"one",
"one",
"shortest",
"description",
"given",
"observer",
"'s",
"previous",
"knowledge",
"particular",
"method",
"encoding",
"data",
"closely",
"related",
"principles",
"algorithmic",
"information",
"theory",
"minimum",
"description",
"length",
"one",
"examples",
"mathematicians",
"enjoy",
"simple",
"proofs",
"short",
"description",
"formal",
"language",
"another",
"concrete",
"example",
"describes",
"aesthetically",
"pleasing",
"human",
"face"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"whose",
"proportions",
"described",
"bits",
"information",
"drawing",
"inspiration",
"less",
"detailed",
"th",
"century",
"proportion",
"studies",
"leonardo",
"da",
"vinci",
"albrecht",
"rer",
"schmidhuber",
"'s",
"theory",
"explicitly",
"distinguishes",
"'s",
"beautiful",
"'s",
"interesting",
"stating",
"interestingness",
"corresponds",
"first",
"derivative",
"subjectively",
"perceived",
"beauty",
"premise",
"observer",
"continually",
"tries",
"improve",
"predictability",
"compressibility",
"observations",
"discovering",
"regularities",
"repetitions",
"symmetries",
"fractal",
"self",
"similarity",
"whenever",
"observer",
"'s",
"learning",
"process",
"may",
"predictive",
"artificial",
"neural",
"network",
"see",
"also",
"neuroesthetics",
"leads",
"improved",
"data",
"compression"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"analysis",
"theoretical",
"aesthetics",
"different",
"aesthetic",
"considerations",
"applied",
"aesthetics",
"used",
"study",
"mathematical",
"beauty",
"aesthetic",
"considerations",
"symmetry",
"simplicity",
"used",
"areas",
"philosophy",
"ethics",
"theoretical",
"physics",
"cosmology",
"define",
"truth",
"outside",
"empirical",
"considerations",
"beauty",
"truth",
"argued",
"nearly",
"synonymous",
"reflected",
"statement",
"beauty",
"truth",
"truth",
"beauty",
"poem",
"ode",
"grecian",
"urn",
"john",
"keats",
"hindu",
"motto",
"satyam",
"shivam",
"sundaram",
"satya",
"truth",
"shiva",
"god",
"shiva",
"sundaram",
"beautiful"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"fact",
"judgments",
"beauty",
"judgments",
"truth",
"influenced",
"processing",
"fluency",
"ease",
"information",
"processed",
"presented",
"explanation",
"beauty",
"sometimes",
"equated",
"truth",
"recent",
"research",
"found",
"people",
"use",
"beauty",
"indication",
"truth",
"mathematical",
"pattern",
"tasks",
"however",
"scientists",
"including",
"mathematician",
"david",
"orrell",
"physicist",
"marcelo",
"gleiser",
"argued",
"emphasis",
"aesthetic",
"criteria",
"symmetry",
"equally",
"capable",
"leading",
"scientists",
"astray",
"computational",
"approaches",
"computational",
"approaches",
"aesthetics",
"emerged",
"amid",
"efforts",
"use",
"computer",
"science",
"methods",
"predict"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"convey",
"evoke",
"emotional",
"response",
"piece",
"art",
"field",
"aesthetics",
"considered",
"dependent",
"taste",
"matter",
"cognition",
"consequently",
"learning",
"mathematician",
"george",
"david",
"birkhoff",
"created",
"aesthetic",
"measure",
"''m",
"c''",
"ratio",
"order",
"complexity",
"ref",
"name",
"akiba",
"ref",
"since",
"computer",
"scientists",
"attempted",
"develop",
"automated",
"methods",
"infer",
"aesthetic",
"quality",
"images",
"ref",
"name",
"faria",
"aesthetics",
"ref",
"typically",
"approaches",
"follow",
"machine",
"learning",
"approach",
"large",
"numbers",
"manually",
"rated",
"photographs",
"used",
"teach",
"computer",
"visual",
"properties",
"relevance"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"aesthetic",
"quality",
"study",
"li",
"cj",
"hu",
"employed",
"birkhoff",
"'s",
"measurement",
"statistical",
"learning",
"approach",
"order",
"complexity",
"image",
"determined",
"aesthetic",
"value",
"ref",
"name",
"ref",
"image",
"complexity",
"computed",
"using",
"information",
"theory",
"order",
"determined",
"using",
"fractal",
"compression",
"ref",
"name",
"also",
"case",
"acquine",
"engine",
"developed",
"penn",
"state",
"university",
"rates",
"natural",
"photographs",
"uploaded",
"users",
"also",
"relatively",
"successful",
"attempts",
"regard",
"chess",
"music",
"computational",
"approaches",
"also",
"attempted",
"film",
"making",
"demonstrated",
"software",
"model",
"developed",
"chitra",
"dorai"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"group",
"researchers",
"ibm",
"tj",
"watson",
"research",
"center",
"ref",
"name",
"ref",
"tool",
"predicted",
"aesthetics",
"based",
"values",
"narrative",
"elements",
"ref",
"name",
"relation",
"max",
"bense",
"'s",
"mathematical",
"formulation",
"aesthetics",
"terms",
"redundancy",
"complexity",
"theories",
"musical",
"anticipation",
"offered",
"using",
"notion",
"information",
"rate",
"evolutionary",
"aesthetics",
"evolutionary",
"aesthetics",
"refers",
"evolutionary",
"psychology",
"theories",
"basic",
"aesthetic",
"preferences",
"''homo",
"sapiens''",
"argued",
"evolved",
"order",
"enhance",
"survival",
"reproductive",
"success",
"one",
"example",
"humans",
"argued",
"find",
"beautiful",
"prefer",
"landscapes"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"good",
"habitats",
"ancestral",
"environment",
"another",
"example",
"body",
"symmetry",
"proportion",
"important",
"aspects",
"physical",
"attractiveness",
"may",
"due",
"indicating",
"good",
"health",
"body",
"growth",
"evolutionary",
"explanations",
"aesthetical",
"preferences",
"important",
"parts",
"evolutionary",
"musicology",
"darwinian",
"literary",
"studies",
"study",
"evolution",
"emotion",
"applied",
"aesthetics",
"well",
"applied",
"art",
"aesthetics",
"also",
"applied",
"cultural",
"objects",
"crosses",
"tools",
"example",
"aesthetic",
"coupling",
"art",
"objects",
"medical",
"topics",
"made",
"speakers",
"working",
"us",
"information",
"agency",
"art",
"slides",
"linked"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"slides",
"pharmacological",
"data",
"improved",
"attention",
"retention",
"simultaneous",
"activation",
"intuitive",
"right",
"brain",
"rational",
"left",
"also",
"used",
"topics",
"diverse",
"cartography",
"mathematics",
"gastronomy",
"fashion",
"website",
"design",
"criticism",
"philosophy",
"aesthetics",
"practice",
"criticized",
"sociologists",
"writers",
"art",
"society",
"raymond",
"williams",
"example",
"argues",
"unique",
"individual",
"aesthetic",
"object",
"extrapolated",
"art",
"world",
"rather",
"continuum",
"cultural",
"forms",
"experience",
"ordinary",
"speech",
"experiences",
"may",
"signal"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"art",
"art",
"may",
"frame",
"several",
"artistic",
"works",
"creations",
"though",
"reference",
"remains",
"within",
"institution",
"special",
"event",
"creates",
"leaves",
"works",
"possible",
"art",
"outside",
"frame",
"work",
"interpretations",
"phenomenon",
"may",
"considered",
"art",
"pierre",
"bourdieu",
"disagrees",
"kant",
"'s",
"idea",
"aesthetic",
"argues",
"kant",
"'s",
"aesthetic",
"merely",
"represents",
"experience",
"product",
"elevated",
"class",
"habitus",
"scholarly",
"leisure",
"opposed",
"possible",
"equally",
"valid",
"aesthetic",
"experiences",
"lay",
"outside",
"kant",
"'s",
"narrow",
"definition"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"timothy",
"laurie",
"argues",
"theories",
"musical",
"aesthetics",
"framed",
"entirely",
"terms",
"appreciation",
"contemplation",
"reflection",
"risk",
"idealizing",
"implausibly",
"unmotivated",
"listener",
"defined",
"solely",
"musical",
"objects",
"rather",
"seeing",
"person",
"complex",
"intentions",
"motivations",
"produce",
"variable",
"attractions",
"cultural",
"objects",
"practices",
"see",
"also",
"art",
"theosophy",
"art",
"periods",
"history",
"aesthetics",
"th",
"century",
"medieval",
"aesthetics",
"mise",
"en",
"sc",
"ne",
"theological",
"aesthetics",
"theory",
"art",
"references",
"reading",
"mario",
"perniola",
"''",
"th",
"century",
"aesthetics",
"towards",
"theory",
"feeling''",
"translated",
"massimo",
"verdicchio",
"london",
"new",
"delhi",
"new",
"york",
"sydney",
"bloomsbury"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"''handbook",
"phenomenological",
"aesthetics''",
"edited",
"hans",
"rainer",
"sepp",
"lester",
"embree",
"series",
"contributions",
"phenomenology",
"vol",
"springer",
"dordrecht",
"heidelberg",
"london",
"new",
"york",
"theodor",
"w",
"adorno",
"''aesthetic",
"theory''",
"minneapolis",
"university",
"minnesota",
"press",
"ayn",
"rand",
"''the",
"romantic",
"manifesto",
"philosophy",
"literature''",
"new",
"york",
"ny",
"new",
"american",
"library",
"https",
"webarchiveorg",
"web",
"http",
"wwwhomenetspeedcomau",
"derekallan",
"defaulthtm",
"derek",
"allan",
"''art",
"human",
"adventure",
"andre",
"malraux",
"'s",
"theory",
"art''",
"rodopi",
"derek",
"allan",
"https",
"webarchiveorg",
"web",
"http",
"wwwc",
"porg",
"flyers",
"art",
"time",
"htm",
"art",
"time",
"cambridge",
"scholars",
"augros",
"robert",
"stanciu",
"george",
"n",
"''the",
"new",
"story",
"science",
"mind",
"universe''",
"lake",
"bluff",
"ill",
"regnery",
"gateway"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"armstrong",
"catherine",
"de",
"zegher",
"eds",
"''women",
"artists",
"millennium''",
"massachusetts",
"october",
"books",
"mit",
"press",
"kant",
"immanuel",
"critique",
"judgement",
"translated",
"werner",
"pluhar",
"hackett",
"publishing",
"co",
"kelly",
"michael",
"editor",
"chief",
"''encyclopedia",
"aesthetics''",
"new",
"york",
"oxford",
"oxford",
"university",
"press",
"vol",
"pp",
"nbsp",
"xvii",
"pp",
"nbsp",
"pp",
"nbsp",
"pp",
"nbsp",
"total",
"pages",
"b",
"w",
"photos",
"covers",
"philosophical",
"historical",
"sociological",
"biographical",
"aspects",
"art",
"aesthetics",
"worldwide",
"ren",
"kierkegaard",
"''either",
"or''",
"translated",
"alastair",
"hannay",
"london",
"penguin",
"peter",
"kivy",
"ed",
"''the",
"blackwell",
"guide",
"aesthetics''",
"carolyn",
"korsmeyer",
"ed",
"''aesthetics",
"big",
"questions''",
"lyotard"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"jean",
"fran",
"ois",
"''the",
"postmodern",
"condition''",
"manchester",
"university",
"press",
"merleau",
"ponty",
"maurice",
"''the",
"visible",
"invisible''",
"northwestern",
"university",
"press",
"david",
"novitz",
"''the",
"boundaries",
"art''",
"mario",
"perniola",
"''the",
"art",
"shadow''",
"foreword",
"hugh",
"j",
"silverman",
"translated",
"massimo",
"verdicchio",
"london",
"new",
"york",
"continuum",
"griselda",
"pollock",
"art",
"think",
"dana",
"arnold",
"margaret",
"iverson",
"eds",
"''art",
"thought''",
"oxford",
"basil",
"blackwell",
"griselda",
"pollock",
"''encounters",
"virtual",
"feminist",
"museum",
"time",
"space",
"archive''",
"routledge",
"griselda",
"pollock",
"''generations",
"geographies",
"visual",
"arts''",
"routledge",
"george",
"santayana",
"''the"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"sense",
"beauty",
"outlines",
"aesthetic",
"theory''",
"new",
"york",
"modern",
"library",
"elaine",
"scarry",
"''on",
"beauty",
"just''",
"princeton",
"friedrich",
"schiller",
"''on",
"aesthetic",
"education",
"man''",
"dover",
"publications",
"alan",
"singer",
"allen",
"dunn",
"eds",
"''literary",
"aesthetics",
"reader''",
"blackwell",
"publishing",
"limited",
"jadranka",
"skorin",
"kapov",
"''the",
"intertwining",
"aesthetics",
"ethics",
"exceeding",
"expectations",
"ecstasy",
"sublimity''",
"lexington",
"books",
"w",
"adys",
"aw",
"tatarkiewicz",
"''a",
"history",
"six",
"ideas",
"essay",
"aesthetics''",
"hague",
"w",
"adys",
"aw",
"tatarkiewicz",
"''history",
"aesthetics''",
"vols",
"hague",
"mouton",
"markand",
"thakar",
"''looking",
"'harp'",
"quartet"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"investigation",
"musical",
"beauty''",
"university",
"rochester",
"press",
"leo",
"tolstoy",
"''what",
"art''",
"penguin",
"classics",
"roger",
"scruton",
"''beauty",
"short",
"introduction''",
"oxford",
"university",
"press",
"roger",
"scruton",
"''the",
"aesthetic",
"understanding",
"essays",
"philosophy",
"art",
"culture''",
"http",
"wwwuclacuk",
"philosophy",
"lpsg",
"london",
"philosophy",
"study",
"guide",
"offers",
"many",
"suggestions",
"read",
"depending",
"student",
"'s",
"familiarity",
"subject",
"http",
"wwwuclacuk",
"philosophy",
"lpsg",
"aestheticshtm",
"aesthetics",
"john",
"valentine",
"''beginning",
"aesthetics",
"introduction",
"philosophy",
"art''",
"mcgraw",
"hill",
"von",
"vacano",
"diego",
"art",
"power",
"machiavelli",
"nietzsche",
"making",
"aesthetic",
"political",
"theory",
"lanham",
"md",
"lexington"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"thomas",
"wartenberg",
"''the",
"nature",
"art''",
"john",
"whitehead",
"''grasping",
"wind''",
"ludwig",
"wittgenstein",
"''lectures",
"aesthetics",
"psychology",
"religious",
"belief''",
"oxford",
"blackwell",
"richard",
"wollheim",
"''art",
"objects''",
"nd",
"edn",
"cambridge",
"university",
"press",
"gino",
"zaccaria",
"''the",
"enigma",
"art''",
"leiden",
"boston",
"brill",
"https",
"brillcom",
"view",
"title",
"indian",
"aesthetics",
"external",
"links",
"http",
"wwwieputmedu",
"aes",
"cont",
"aesthetics",
"continental",
"philosophy",
"article",
"''internet",
"encyclopedia",
"philosophy''",
"http",
"wwwieputmedu",
"aesthe",
"medieval",
"theories",
"aesthetics",
"article",
"''internet",
"encyclopedia",
"philosophy''",
"https",
"webarchiveorg",
"web",
"http",
"revuesmshparisnordorg",
"appareil",
"indexphpid",
"revue",
"online",
"''appareil''",
"http",
"wwwditextcom",
"anka",
"beardsley",
"posthtml",
"postscript",
"old",
"problems",
"new",
"perspectives",
"http",
"wwwericdigestsorg",
"pre",
"arthtm",
"aesthetics",
"art",
"education",
"look",
"toward",
"implementation",
"https",
"webarchiveorg",
"web",
"http",
"knowledgeworldcombd",
"art"
] | [
"Humanities",
"Philosophy",
"Aesthetics"
] |
[
"western",
"xia",
"mail",
"armour",
"'''armour'''",
"british",
"english",
"'''armor'''",
"american",
"english",
"see",
"spelling",
"differences",
"covering",
"used",
"protect",
"object",
"individual",
"vehicle",
"physical",
"injury",
"damage",
"especially",
"direct",
"contact",
"weapons",
"projectiles",
"combat",
"potentially",
"dangerous",
"environment",
"activity",
"eg",
"cycling",
"construction",
"sites",
"etc",
"personal",
"armour",
"used",
"protect",
"soldiers",
"war",
"animals",
"vehicle",
"armour",
"used",
"warships",
"armoured",
"fighting",
"vehicles",
"mostly",
"ground",
"attack",
"combat",
"aircraft",
"second",
"use",
"term",
"''armour''",
"describes",
"armoured",
"forces",
"armoured",
"weapons",
"role",
"combat",
"development"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"armoured",
"warfare",
"tanks",
"mechanised",
"infantry",
"combat",
"formations",
"came",
"referred",
"collectively",
"armour",
"etymology",
"''portrait",
"gentleman",
"armour",
"two",
"pages''",
"paris",
"bordone",
"word",
"armour",
"began",
"appear",
"middle",
"ages",
"derivative",
"old",
"french",
"dated",
"mail",
"defensive",
"covering",
"worn",
"combat",
"word",
"originates",
"old",
"french",
"derived",
"latin",
"meaning",
"arms",
"equipment",
"root",
"meaning",
"arms",
"gear",
"personal",
"armour",
"used",
"throughout",
"recorded",
"history"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"made",
"variety",
"materials",
"beginning",
"use",
"leathers",
"fabrics",
"protection",
"evolving",
"chain",
"mail",
"metal",
"plate",
"today",
"'s",
"modern",
"composites",
"much",
"military",
"history",
"manufacture",
"metal",
"personal",
"armour",
"dominated",
"technology",
"employment",
"armour",
"armour",
"drove",
"development",
"many",
"important",
"technologies",
"ancient",
"world",
"including",
"wood",
"lamination",
"mining",
"metal",
"refining",
"vehicle",
"manufacture",
"leather",
"processing",
"later",
"decorative",
"metal",
"working",
"production",
"influential",
"industrial",
"revolution",
"furthered",
"commercial",
"development",
"metallurgy",
"engineering",
"armour",
"single",
"influential",
"factor",
"development"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"firearms",
"turn",
"revolutionised",
"warfare",
"history",
"dendra",
"panoply",
"mycenaean",
"greek",
"armour",
"c",
"bc",
"significant",
"factors",
"development",
"armour",
"include",
"economic",
"technological",
"necessities",
"production",
"instance",
"plate",
"armour",
"first",
"appeared",
"medieval",
"europe",
"water",
"powered",
"trip",
"hammers",
"made",
"formation",
"plates",
"faster",
"cheaper",
"also",
"modern",
"militaries",
"usually",
"equip",
"forces",
"best",
"armour",
"available",
"would",
"prohibitively",
"expensive",
"times",
"development",
"armour",
"paralleled",
"development",
"increasingly",
"effective",
"weaponry",
"battlefield",
"armourers",
"seeking",
"create",
"better",
"protection"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"without",
"sacrificing",
"mobility",
"well",
"known",
"armour",
"types",
"european",
"history",
"include",
"lorica",
"hamata",
"lorica",
"squamata",
"lorica",
"segmentata",
"roman",
"legions",
"mail",
"hauberk",
"early",
"medieval",
"age",
"full",
"steel",
"plate",
"harness",
"worn",
"later",
"medieval",
"renaissance",
"knights",
"breast",
"back",
"plates",
"worn",
"heavy",
"cavalry",
"several",
"european",
"countries",
"first",
"year",
"world",
"war",
"samurai",
"warriors",
"feudal",
"japan",
"utilised",
"many",
"types",
"armour",
"hundreds",
"years",
"th",
"century",
"early",
"wooden",
"statue",
"guan",
"yu",
"mountain",
"pattern",
"armour",
"th",
"c"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"ming",
"dynasty",
"cuirasses",
"helmets",
"manufactured",
"japan",
"early",
"th",
"century",
"''tank",
"''",
"worn",
"foot",
"soldiers",
"''keik",
"''",
"worn",
"horsemen",
"pre",
"samurai",
"types",
"early",
"japanese",
"armour",
"constructed",
"iron",
"plates",
"connected",
"together",
"leather",
"thongs",
"japanese",
"lamellar",
"armour",
"''keiko''",
"passed",
"korea",
"reached",
"japan",
"around",
"th",
"century",
"early",
"japanese",
"lamellar",
"armours",
"took",
"form",
"sleeveless",
"jacket",
"leggings",
"helmet",
"armour",
"always",
"cover",
"body",
"sometimes",
"helmet",
"leg",
"plates",
"worn",
"rest",
"body",
"generally",
"protected"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"means",
"large",
"shield",
"examples",
"armies",
"equipping",
"troops",
"fashion",
"aztecs",
"th",
"th",
"century",
"ce",
"east",
"asia",
"many",
"types",
"armour",
"commonly",
"used",
"different",
"times",
"various",
"cultures",
"including",
"scale",
"armour",
"lamellar",
"armour",
"laminar",
"armour",
"plated",
"mail",
"mail",
"plate",
"armour",
"brigandine",
"around",
"dynastic",
"tang",
"song",
"early",
"ming",
"period",
"cuirasses",
"plates",
"mingguangjia",
"also",
"used",
"elaborate",
"versions",
"officers",
"war",
"chinese",
"time",
"used",
"partial",
"plates",
"important",
"body",
"parts",
"instead",
"covering",
"whole",
"body",
"since",
"much",
"plate",
"armour"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"hinders",
"martial",
"arts",
"movement",
"body",
"parts",
"covered",
"cloth",
"leather",
"lamellar",
"mountain",
"pattern",
"pre",
"qin",
"dynasty",
"times",
"leather",
"armour",
"made",
"various",
"animals",
"exotic",
"ones",
"rhinoceros",
"mail",
"sometimes",
"called",
"chainmail",
"made",
"interlocking",
"iron",
"rings",
"believed",
"first",
"appeared",
"time",
"bc",
"invention",
"credited",
"celts",
"romans",
"thought",
"adopted",
"design",
"gradually",
"small",
"additional",
"plates",
"discs",
"iron",
"added",
"mail",
"protect",
"vulnerable",
"areas",
"hardened",
"leather",
"splinted",
"construction",
"used",
"arm"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"leg",
"pieces",
"coat",
"plates",
"developed",
"armour",
"made",
"large",
"plates",
"sewn",
"inside",
"textile",
"leather",
"coat",
"th",
"th",
"century",
"europe",
"royal",
"equestrian",
"seal",
"early",
"th",
"century",
"depicting",
"owain",
"glynd",
"r",
"prince",
"wales",
"full",
"armour",
"riding",
"full",
"barded",
"steed",
"wearing",
"gold",
"dragon",
"headgear",
"symbolising",
"arthurian",
"legend",
"early",
"plate",
"italy",
"elsewhere",
"th",
"th",
"century",
"made",
"iron",
"iron",
"armour",
"could",
"carburised",
"case",
"hardened",
"give",
"surface",
"harder",
"steel",
"plate",
"armour",
"became",
"cheaper",
"mail",
"th",
"century"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"required",
"much",
"less",
"labour",
"labour",
"become",
"much",
"expensive",
"black",
"death",
"though",
"require",
"larger",
"furnaces",
"produce",
"larger",
"blooms",
"mail",
"continued",
"used",
"protect",
"joints",
"could",
"adequately",
"protected",
"plate",
"armpit",
"crook",
"elbow",
"groin",
"another",
"advantage",
"plate",
"lance",
"rest",
"could",
"fitted",
"breast",
"plate",
"small",
"skull",
"cap",
"evolved",
"bigger",
"true",
"helmet",
"bascinet",
"lengthened",
"downward",
"protect",
"back",
"neck",
"sides",
"head",
"additionally"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"several",
"new",
"forms",
"fully",
"enclosed",
"helmets",
"introduced",
"late",
"th",
"century",
"barded",
"war",
"horses",
"th",
"century",
"probably",
"recognised",
"style",
"armour",
"world",
"became",
"plate",
"armour",
"associated",
"knights",
"european",
"late",
"middle",
"ages",
"continuing",
"early",
"th",
"century",
"age",
"enlightenment",
"european",
"countries",
"full",
"harness",
"plate",
"armour",
"developed",
"armouries",
"lombardy",
"heavy",
"cavalry",
"dominated",
"battlefield",
"centuries",
"part",
"armour",
"early",
"th",
"century",
"advances",
"weaponry",
"allowed",
"infantry",
"defeat",
"armoured",
"knights"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"battlefield",
"quality",
"metal",
"used",
"armour",
"deteriorated",
"armies",
"became",
"bigger",
"armour",
"made",
"thicker",
"necessitating",
"breeding",
"larger",
"cavalry",
"horses",
"th",
"centuries",
"armour",
"seldom",
"weighed",
"nbsp",
"kg",
"late",
"th",
"century",
"weighed",
"nbsp",
"kg",
"increasing",
"weight",
"thickness",
"late",
"th",
"century",
"armour",
"therefore",
"gave",
"substantial",
"resistance",
"early",
"years",
"low",
"velocity",
"firearms",
"full",
"suits",
"armour",
"breast",
"plates",
"actually",
"stopped",
"bullets",
"fired",
"modest",
"distance",
"crossbow",
"bolts",
"still",
"used",
"would",
"seldom",
"penetrate",
"good",
"plate",
"would",
"bullet",
"unless",
"fired"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"plate",
"barding",
"gave",
"horse",
"protection",
"enhanced",
"visual",
"impression",
"mounted",
"knight",
"late",
"era",
"elaborate",
"barding",
"used",
"parade",
"armour",
"later",
"''elements",
"light",
"cavalry",
"armor''",
"c",
"https",
"commonswikimediaorg",
"wiki",
"file",
"elements",
"light",
"cavalry",
"armor",
"met",
"dt",
"jpg",
"metropolitan",
"museum",
"art",
"gradually",
"starting",
"mid",
"th",
"century",
"one",
"plate",
"element",
"another",
"discarded",
"save",
"weight",
"foot",
"soldiers",
"back",
"breast",
"plates",
"continued",
"used",
"throughout",
"entire",
"period",
"th",
"century",
"napoleonic",
"times",
"many",
"european",
"heavy",
"cavalry",
"units",
"early",
"th",
"century",
"introduction",
"muskets",
"could",
"pierce",
"plate",
"armour"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"cavalry",
"far",
"mindful",
"fire",
"japan",
"armour",
"continued",
"used",
"end",
"samurai",
"era",
"last",
"major",
"fighting",
"armour",
"used",
"happening",
"samurai",
"armour",
"one",
"last",
"short",
"lived",
"use",
"satsuma",
"rebellion",
"though",
"age",
"knight",
"armour",
"continued",
"used",
"many",
"capacities",
"soldiers",
"american",
"civil",
"war",
"bought",
"iron",
"steel",
"vests",
"peddlers",
"sides",
"considered",
"rejected",
"body",
"armour",
"standard",
"issue",
"effectiveness",
"vests",
"varied",
"widely",
"successfully"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"deflected",
"bullets",
"saved",
"lives",
"others",
"poorly",
"made",
"resulted",
"tragedy",
"soldiers",
"case",
"vests",
"abandoned",
"many",
"soldiers",
"due",
"weight",
"long",
"marches",
"well",
"stigma",
"got",
"cowards",
"fellow",
"troops",
"start",
"world",
"war",
"thousands",
"french",
"cuirassiers",
"rode",
"engage",
"german",
"cavalry",
"period",
"shiny",
"armour",
"plate",
"covered",
"dark",
"paint",
"canvas",
"wrap",
"covered",
"elaborate",
"napoleonic",
"style",
"helmets",
"armour",
"meant",
"protection",
"edged",
"weapons"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"rated",
"stop",
"range",
"ammunition",
"including",
"hits",
"nato",
"ap",
"round",
"range",
"dragon",
"skin",
"another",
"ballistic",
"vest",
"currently",
"testing",
"mixed",
"results",
"deemed",
"heavy",
"expensive",
"unreliable",
"comparison",
"tradition",
"plates",
"outdated",
"protection",
"compared",
"modern",
"us",
"iotv",
"armour",
"even",
"testing",
"deemed",
"downgrade",
"iba",
"british",
"armed",
"forces",
"also",
"armour",
"known",
"osprey",
"rated",
"general",
"equivalent",
"standard"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |
[
"us",
"counterpart",
"improved",
"outer",
"tactical",
"vest",
"soldier",
"plate",
"carrier",
"system",
"modular",
"tactical",
"vest",
"russian",
"armed",
"forces",
"also",
"armour",
"known",
"b",
"way",
"b",
"depending",
"variant",
"armour",
"runs",
"gost",
"system",
"due",
"regional",
"conditions",
"resulted",
"technically",
"higher",
"protective",
"level",
"overall",
"gallery",
"mode",
"packed",
"heights",
"file",
"ancient",
"german",
"armour",
"helmetjpg",
"medieval",
"germanic",
"helmet",
"file",
"armors",
"man",
"horse",
"syrian",
"iranian",
"turkish",
"comprehensively",
"metropolitan",
"museum",
"art",
"new",
"yorkjpg",
"early",
"modern",
"horse",
"armor",
"display",
"metropolitan",
"museum",
"art",
"new",
"york",
"file",
"rustning",
"gustav"
] | [
"Applied science",
"Military sciences",
"Military weapons",
"Armor"
] |