TASK DEFINITION: In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).
PROBLEM: Context: In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse. More generally, an impulse response is the reaction of any dynamic system in response to some external change. In both cases, the impulse response describes the reaction of the system as a function of time (or possibly as a function of some other independent variable that parameterizes the dynamic behavior of the system)., In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. This is in contrast to the other major type of electronic filter, the analog filter, which is an electronic circuit operating on continuous-time analog signals., Infinite impulse response (IIR) is a property applying to many linear time-invariant systems. Common examples of linear time-invariant systems are most electronic and digital filters. Systems with this property are known as "IIR systems" or "IIR filters", and are distinguished by having an impulse response which does not become exactly zero past a certain point, but continues indefinitely. This is in contrast to a finite impulse response (FIR) in which the impulse response "h"("t") "does" become exactly zero at times "t" > "T" for some finite "T", thus being of finite duration., In signal processing , a finite impulse response ( FIR ) filter is a filter whose impulse response ( or response to any finite length input ) is of finite duration , because it settles to zero in finite time . This is in contrast to infinite impulse response ( IIR ) filters , which may have internal feedback and may continue to respond indefinitely ( usually decaying ) . The impulse response ( that is , the output in response to a Kronecker delta input ) of an Nth - order discrete - time FIR filter lasts exactly N + 1 samples ( from first nonzero element through last nonzero element ) before it then settles to zero . FIR filters can be discrete - time or continuous - time , and digital or analog ., Information is that which informs. In other words, it is the answer to a question of some kind. It is thus related to data and knowledge, as data represents values attributed to parameters, and knowledge signifies understanding of real things or abstract concepts. As it regards data, the information's existence is not necessarily coupled to an observer (it exists beyond an event horizon, for example), while in the case of knowledge, the information requires a cognitive observer., Signal processing is an enabling technology that encompasses the fundamental theory, applications, algorithms, and implementations of processing or transferring information contained in many different physical, symbolic, or abstract formats broadly designated as "signals". It uses mathematical, statistical, computational, heuristic, and linguistic representations, formalisms, and techniques for representation, modelling, analysis, synthesis, discovery, recovery, sensing, acquisition, extraction, learning, security, or forensics., Subject: finite impulse response, Relation: subclass_of, Options: (A) being (B) case (C) change (D) duration (E) electronic circuit (F) electronic filter (G) event (H) feedback (I) filter (J) heuristic (K) information (L) invariant (M) property (N) question (O) representation (P) security (Q) signal (R) time (S) type

SOLUTION: electronic filter

PROBLEM: Context: The River Cwmnantcol ( Afon Cwmnantcol in Welsh ) is a river in North Wales . It is about 3 miles long and has its source at the head of Cwm Nantcol below Rhinog Fawr and Y Llethr . It flows north - westwards from its source and joins the Afon Artro at Pentre Gwynfryn ., An ocean (the sea of classical antiquity) is a body of saline water that composes much of a planet's hydrosphere. On Earth, an ocean is one of the major conventional divisions of the World Ocean, which covers almost 71% of its surface. These are, in descending order by area, the Pacific, Atlantic, Indian, Southern (Antarctic), and Arctic Oceans. The word "sea" is often used interchangeably with "ocean" in American English but, strictly speaking, a sea is a body of saline water (generally a division of the world ocean) partly or fully enclosed by land., Wrexham (; ) is a large town in north Wales, between the Welsh mountains and the lower Dee Valley alongside the border with England. In Wrexham County Borough, it is the largest town in north Wales and an administrative, commercial, retail and educational centre., Colwyn Bay is a town, community and seaside resort in Conwy County Borough on the north coast of Wales overlooking the Irish Sea. Eight neighbouring communities are incorporated within its postal district. Established as its own separate parish in 1844 with just a small grouping of homes and farms where the community of Old Colwyn stands today, Colwyn Bay has expanded to become the second-largest community and business centre in the north of Wales as well as the 15th largest in the whole of Wales with the urban statistical area having a population of 31,353 at the 2011 census. (Including Old Colwyn, Rhos-on-Sea, Mochdre and Llysfaen communities]. Locally nicknamed "The Bay"., Shropshire (or ; alternatively Salop; abbreviated, in print only, Shrops; demonym Salopian ) is a county located between West Midlands in England and Wales. It borders Powys and Wrexham in Wales to the west and north-west, Cheshire to the north, Staffordshire to the east, Worcestershire to the south-east and Herefordshire to the south. Shropshire Council was created in 2009, a unitary authority taking over from the previous county council and five district councils. The borough of Telford and Wrekin has been a separate unitary authority since 1998 but continues to be included in the ceremonial county., A lake is an area of variable size filled with water, localized in a basin, that is surrounded by land, apart from any river or other outlet that serves to feed or drain the lake. Lakes lie on land and are not part of the ocean, and therefore are distinct from lagoons, and are also larger and deeper than ponds, though there are no official or scientific definitions. Lakes can be contrasted with rivers or streams, which are usually flowing. Most lakes are fed and drained by rivers and streams., Powys (or ; Welsh: ) is a principal area, local-government county and preserved county in Mid Wales. It is named after the successor Kingdom of Powys, which formed after the Romans withdrew from Britain., Llandudno is a seaside resort, town and community in Conwy County Borough, Wales, located on the Creuddyn peninsula, which protrudes into the Irish Sea. In the 2011 UK census, the community, which includes Penrhyn Bay and Penrhynside, had a population of 20,701. The town's name is derived from its patron saint, Saint Tudno., A sea is a large body of salt water that is surrounded in whole or in part by land. More broadly, "the sea" is the interconnected system of Earth's salty, oceanic watersconsidered as one global ocean or as several principal oceanic divisions. The sea moderates Earth's climate and has important roles in the water cycle, carbon cycle, and nitrogen cycle. Although the sea has been traveled and explored since prehistory, the modern scientific study of the seaoceanographydates broadly to the British "Challenger" expedition of the 1870s. The sea is conventionally divided into up to five large oceanic sectionsincluding the International Hydrographic Organization's four named oceans (the Atlantic, Pacific, Indian, and Arctic) and the Southern Ocean; smaller, second-order sections, such as the Mediterranean, are known as "seas"., England is a country that is part of the United Kingdom. It shares land borders with Scotland to the north and Wales to the west. The Irish Sea lies northwest of England and the Celtic Sea lies to the southwest. England is separated from continental Europe by the North Sea to the east and the English Channel to the south. The country covers five-eighths of the island of Great Britain (which lies in the North Atlantic) in its centre and south; and includes over 100 smaller islands such as the Isles of Scilly, and the Isle of Wight., Wales is a country that is part of the United Kingdom and the island of Great Britain. It is bordered by England to the east, the Irish Sea to the north and west, and the Bristol Channel to the south. It had a population in 2011 of 3,063,456 and has a total area of . Wales has over of coastline and is largely mountainous, with its higher peaks in the north and central areas, including Snowdon, its highest summit. The country lies within the north temperate zone and has a changeable, maritime climate., North Wales is the northernmost unofficial region of Wales. Retail, transport and educational infrastructure are centred on Wrexham, Rhyl, Colwyn Bay, Llandudno and Bangor. It is bordered to the south by the counties of Ceredigion and Powys in Mid Wales, and to the east by the counties of Shropshire in the West Midlands and Cheshire in North West England., A river is a natural flowing watercourse, usually freshwater, flowing towards an ocean, sea, lake or another river. In some cases a river flows into the ground and becomes dry at the end of its course without reaching another body of water. Small rivers can be referred to using names such as stream, creek, brook, rivulet, and rill. There are no official definitions for the generic term river as applied to geographic features, although in some countries or communities a stream is defined by its size. Many names for small rivers are specific to geographic location; examples are "run" in some parts of the United States, "burn" in Scotland and northeast England, and "beck" in northern England. Sometimes a river is defined as being larger than a creek, but not always: the language is vague., Mid Wales (or simply "Y Canolbarth" "The Midlands") is the name given to the central region of Wales. The Mid Wales Regional Committee of the National Assembly for Wales covered the counties of Ceredigion and Powys and the area of Gwynedd that had previously been the district of Meirionydd. A similar definition is used by the BBC. The Wales Spatial Plan defines a region known as "Central Wales" which covers Ceredigion and Powys. If Mid Wales is classed as Ceredigion and Powys, the area would be 6,962 square kilometres (about the size of Cumbria)., A stream is a body of water with a current, confined within a bed and banks. Depending on its location or certain characteristics, a stream may be referred to as a "bayou", "beck", "branch", "brook", "burn", "creek", "crick", "ghyll", "gill", "kill", "lick", "mill race", "race", "rill", "river", "rivulet", "run", "runnel", "streamage", "syke", or "wash"., In hillslope geomorphology, a rill is a shallow channel (no more than a few tens of centimetres deep) cut into soil by the erosive action of flowing water. Similar but smaller incised channels are known as microrills; larger incised channels are known as gullies., Rhyl is a seaside resort town and community in the historic county of Denbighshire, situated on the north east coast of Wales, at the mouth of the River Clwyd (Welsh: "Afon Clwyd"). To the west is the suburb of Kinmel Bay, with the resort of Towyn further west, Prestatyn to the east and Rhuddlan to the south. At the 2011 Census, Rhyl had a population of 25,149.
The conurbation of Abergele-Rhyl-Prestatyn has a population of over 60,000, with Rhyl-Kinmel Bay having 31,229 people., A watercourse is the channel that a flowing body of water follows. In the UK, some aspects of criminal law such as The Rivers (Prevention of Pollution) Act 1951 specify that a watercourse includes those rivers which are dry for part of the year., Cheshire (or ; archaically the County Palatine of Chester; abbreviated Ches.) is a county in North West England, bordering Merseyside and Greater Manchester to the north, Derbyshire to the east, Staffordshire and Shropshire to the south and Wales to the west (bordering Wrexham and Flintshire). Cheshire's county town is Chester; the largest town is Warrington., Ceredigion is a county in Mid Wales. In the Middle Ages, it was a minor kingdom also known for a time as Seisyllwg. Following its Norman conquest, the name was anglicised to Cardigan and then Cardiganshire and it began to be administered as a county in 1282. The county had a population of 75,900 at the 2011 UK census. Its largest town, Aberystwyth, is one of the two administrative centres; the other being Aberaeron. Aberystwyth houses Aberystwyth University, Bronglais Hospital and the National Library of Wales. The inland town of Lampeter houses part of the University of Wales Trinity Saint David. More than half the population speak the Welsh language and the county is considered a centre of Welsh culture., Subject: afon cwmnantcol, Relation: located_in_the_administrative_territorial_entity, Options: (A) aberystwyth (B) bangor (C) banks (D) basin (E) cardigan (F) central (G) central region (H) centre (I) ceredigion (J) cheshire (K) chester (L) conwy (M) denbighshire (N) district (O) earth (P) east (Q) england (R) europe (S) gwynedd (T) isle of wight (U) lakes (V) merseyside (W) north (X) north east (Y) north west (Z) of ([) powys (\) prestatyn (]) rhyl (^) river (_) salt (`) scotland (a) seaside (b) shropshire (c) south (d) syke (e) telford and wrekin (f) time (g) united kingdom (h) wales (i) west midlands (j) wrexham (k) wrexham county borough

SOLUTION: gwynedd

PROBLEM: Context: A continent is one of several very large landmasses on Earth. Generally identified by convention rather than any strict criteria, up to seven regions are commonly regarded as continents. Ordered from largest in size to smallest, they are: Asia, Africa, North America, South America, Antarctica, Europe, and Australia. In geology, areas of continental crust include regions covered with water., An island or isle is any piece of sub-continental land that is surrounded by water. Very small islands such as emergent land features on atolls can be called islets, skerries, cays or keys. An island in a river or a lake island may be called an eyot or ait, and a small island off the coast may be called a holm. A grouping of geographically or geologically related islands is called an archipelago, e.g. the Philippines., The Grenadines is an island chain that is part of St.Vincent and Grenada. There are 32 islands and cays that make up St. Vincent and the Grenadines (SVG). Nine are inhabited, including the mainland St. Vincent and the Grenadines islands: Young Island, Bequia, Mustique, Canouan, Union Island, Mayreau, Petit St Vincent and Palm Island., Barrouallie is a town located on the island of Saint Vincent . Barrouallie was established by French settlers in 1719 , the first European colony on St. Vincent . Once it was the capital of St.Vincent and the Grenadines . With the rest of the island , it passed back and forth between the French and the British , finally remaining in the hands of the latter . Within Saint Patrick Parish Barrouallie is both the largest city and the parish capital . The area is known for fishing and is famous for `` Blackfish '' . Due to the surrounding mountains , the town is shaped into a hole that has over time has protected the town from volcanic eruptions ., Grenada is an island country consisting of Grenada itself and six smaller islands at the southern end of the Grenadines in the southeastern Caribbean Sea. Grenada is located northwest of Trinidad and Tobago, northeast of Venezuela, and southwest of Saint Vincent and the Grenadines., The Philippines, officially the Republic of the Philippines, is a sovereign island country in Southeast Asia situated in the western Pacific Ocean. It consists of about 7,641 islands that are categorized broadly under three main geographical divisions from north to south: Luzon, Visayas, and Mindanao. The capital city of the Philippines is Manila and the most populous city is Quezon City, both part of Metro Manila. Bounded by the South China Sea on the west, the Philippine Sea on the east and the Celebes Sea on the southwest, the Philippines shares maritime borders with Taiwan to the north, Vietnam to the west, Palau to the east and Malaysia and Indonesia to the south., A cay (or ), also spelled caye or key, is a small, low-elevation, sandy island on the surface of a coral reef. Cays occur in tropical environments throughout the Pacific, Atlantic and Indian Oceans (including in the Caribbean and on the Great Barrier Reef and Belize Barrier Reef)., Subject: barrouallie, Relation: country, Options: (A) antarctica (B) australia (C) belize (D) china (E) grenada (F) palau (G) philippines (H) saint vincent and the grenadines (I) trinidad and tobago (J) venezuela (K) vietnam

SOLUTION:
saint vincent and the grenadines