>> { bidder: 'sovrn', params: { tagid: '448836' }}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, googletag.pubads().setTargeting("cdo_ei", "artificial-boundary"); 1 0 obj {code: 'ad_contentslot_2', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [336, 280]] } }, { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot2' }}]}]; bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776142', position: 'btf' }}, initAdSlotRefresher(); These lines are often formally defined in boundary treaties between countries. }); } { bidder: 'ix', params: { siteId: '195455', size: [320, 50] }}, googletag.pubads().setTargeting("cdo_pt", "ex"); The opposite would be a geographic boundry. x��W�j�0��S�v�$+��KI�GXݭ,)�il[&n_m{����ɒ��1V؅�1֧�;�X�C�䢯��W�궨f���?Pșs�g8�����ب��/+�x/b�\���g}Y��pЗ��e���R���!��K1�3�rX ߲%��F����������S&�y!$�ѐyxN:�螺k�u����fΝ15Ch�ݺ[����8����A�ۇ��V�'�=�B��)jS� { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot_flex' }}, { bidder: 'sovrn', params: { tagid: '346698' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, { bidder: 'sovrn', params: { tagid: '446385' }}, /Length 599 type: "html5", /Type /Page endobj partner: "uarus31" }); {code: 'ad_contentslot_1', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [336, 280]] } }, var pbjs = pbjs || {}; { bidder: 'ix', params: { siteId: '195452', size: [300, 250] }}, >> /CropBox [0 0 613 792] The simplest example of this approach is that the driving point antiresonance frequencies correspond to the ga('create', 'UA-31379-3',{cookieDomain:'dictionary.cambridge.org',siteSpeedSampleRate: 10}); { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot1' }}]}, << { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, }; { bidder: 'ix', params: { siteId: '195454', size: [300, 250] }}, endobj {code: 'ad_leftslot', pubstack: { adUnitName: 'cdo_leftslot', adUnitPath: '/2863368/leftslot' }, mediaTypes: { banner: { sizes: [[120, 600], [160, 600]] } }, { bidder: 'ix', params: { siteId: '195464', size: [160, 600] }}, { bidder: 'appnexus', params: { placementId: '11654151' }}, >> { bidder: 'ix', params: { siteId: '195464', size: [300, 600] }}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, { bidder: 'sovrn', params: { tagid: '446385' }}, /Contents 18 0 R In general, the boundary conditions cm the artificial boundaries are obtained by considering the "Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. /MediaBox [0.0 0.0 612.0 792.0] The finite difference solution of one-dimensional heat conduction equation in unbounded domains is considered. 'min': 8.50, "authorizationTimeout": 10000 addPrebidAdUnits(pbAdUnits); { bidder: 'ix', params: { siteId: '195454', size: [300, 250] }}, AbstractWe review artificial boundary conditions (BCs) for simulation of inflow, outflow, and far-field (radiation) problems, with an emphasis on techniques suitable for compressible turbulent shear flows.BCs based on linearization near the boundary are usually appropriate for inflow and radiation problems. { bidder: 'ix', params: { siteId: '195455', size: [300, 50] }}, var pbMobileLrSlots = [ }, >> 16 0 obj /CropBox [0.0 0.0 619.0 798.0] { bidder: 'openx', params: { unit: '539971081', delDomain: 'idm-d.openx.net' }}, /Outlines 4 0 R /Parent 84 0 R googletag.pubads().enableSingleRequest(); Add the power of Cambridge Dictionary to your website using our free search box widgets. /Rotate 0 { bidder: 'ix', params: { siteId: '195465', size: [300, 250] }}, 2 0 obj googletag.cmd = googletag.cmd || []; bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776140', position: 'atf' }}, /Resources 37 0 R { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot_flex' }}, >> /Type /Catalog Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes } }, The exterior Helmholtz problem is solved by a controllability method with a new artificial boundary condition for a time-periodic wave equation. /Subtype /XML The aspects of treating artificial boundaries of a non-spherical shape are discussed. Browse our dictionary apps today and ensure you are never again lost for words. Boundary spanning is the efforts of an organization to establish connections both in and outside of itself. << const customGranularity = { if(refreshConfig.enabled == true) iasLog("criterion : cdo_l = en-us"); %PDF-1.4 First, an exact relation between the normal stress and the velocity field is obtained on a spherical artificial boundary. troduce an artificial boundary and cut off the unbounded part of the domain and to set up an artificial boundary condition at the artificial boundary of the re-maining bounded domain. googletag.pubads().setTargeting("cdo_l", "en-us"); /Contents [29 0 R 30 0 R 31 0 R 32 0 R 33 0 R 34 0 R 35 0 R 36 0 R] googletag.pubads().setTargeting("cdo_pc", "dictionary"); Exeptions to this rule are the Doubs River in the Canton of Jura, where the boundary is defined by the Swiss river bank and the Morge River in St-Gingolph, where the upper edge of the Swiss river bank defines the boundary. endobj { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_Billboard' }}, Note that true is the empty conjunction and false is the conjunction of an atom and its negation. /Rotate 0 name: "pbjs-unifiedid", }, /Resources 75 0 R { bidder: 'openx', params: { unit: '539971067', delDomain: 'idm-d.openx.net' }}, {code: 'ad_contentslot_1', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [336, 280]] } }, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_topslot' }}, { bidder: 'ix', params: { siteId: '195467', size: [300, 250] }}, /Resources 46 0 R They are not interested in what to them are the artificial boundaries that exist between the health services and local authority social care services. { bidder: 'ix', params: { siteId: '195464', size: [120, 600] }}, EurLex-2 (b) the geographical situation, particularly natural or artificial boundaries; UN-2. endobj ga('set', 'dimension3', "combinationPage"); endobj { bidder: 'appnexus', params: { placementId: '11654157' }}, { bidder: 'openx', params: { unit: '539971068', delDomain: 'idm-d.openx.net' }}, /F0 85 0 R /Contents [76 0 R 77 0 R 78 0 R 79 0 R 80 0 R 81 0 R 82 0 R 83 0 R] { bidder: 'ix', params: { siteId: '195454', size: [300, 250] }}, { bidder: 'sovrn', params: { tagid: '387232' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_topslot' }}, /C [0.50197 0 0.50197] { bidder: 'ix', params: { siteId: '195453', size: [320, 100] }}, G:�JjiBW@��H��/t�� C��:0��С��HY�Ңh"���{w���G�дK�Y,o���KEj�9�ݦ�W�'���VoWh����k+���*����5���u��ڸ۬5.w���WW��B֓B h�d������W�! endobj >> /Resources 73 0 R Now, people want borders along national, religious or ethnic lines. /Parent 2 0 R },{ { bidder: 'openx', params: { unit: '539971066', delDomain: 'idm-d.openx.net' }}, << In order to try to overcome this, local authorities draw artificial boundaries to get what they call a good social mix. { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot2' }}]}]; /MediaBox [0.0 0.0 614.0 793.0] /Contents [20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R 27 0 R] If that is attained, then we can do away of the all the artificial boundaries that separated people. {code: 'ad_contentslot_1', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [320, 100], [320, 50], [300, 50]] } }, /CropBox [0.0 0.0 614.0 794.0] << 'increment': 0.05, { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_topslot_728x90' }}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_SR' }}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, pbjsCfg = { No community of interest is represented by the artificial boundaries that happen to be drawn up. { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_topslot' }}]}, An example of a demilitarized international border is the 38th parallel between ... drawn by the colonial powers, were and still are entirely artificial. { bidder: 'ix', params: { siteId: '195452', size: [300, 250] }}, name: "pubCommonId", 14 0 obj { bidder: 'onemobile', params: { dcn: '8a9690ab01717182962182bb50ce0007', pos: 'cdo_mpuslot_mobile_flex' }}, { bidder: 'sovrn', params: { tagid: '446383' }}, CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In this paper, we propose a class of exact artificial boundary conditions for the nu-merical solution of the Schrödinger equation on unbounded domains in two-dimensional cases. { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_topslot' }}, /Parent 2 0 R var mapping_topslot_a = googletag.sizeMapping().addSize([746, 0], []).addSize([0, 550], [[300, 250]]).addSize([0, 0], [[300, 50], [320, 50], [320, 100]]).build(); { bidder: 'ix', params: { siteId: '195452', size: [336, 280] }}, bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776156', position: 'atf' }}, >> For example, the shape can affect the measurement of origin-destination flows since these are often recorded when they cross an artificial boundary. { bidder: 'ix', params: { siteId: '195452', size: [336, 280] }}, An example of this would be part of the border between the US and Mexico in … { bidder: 'appnexus', params: { placementId: '11654192' }}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, autonomous nationalism-movement by a dissident minority intent to achieve partial or total independence piece of territory from the dominant state around it. { bidder: 'appnexus', params: { placementId: '11654189' }}, { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot2_flex' }}, /Font << userSync: { /Type /Metadata bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776142', position: 'btf' }}, /F 2 /Resources 28 0 R { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot2' }}]}]; ARTIFICIAL BOUNDARY METHOD FOR THE SOLUTION OF PRICING EUROPEAN OPTIONS UNDER THE HESTON MODEL HONGSHAN LI, ZHONGYI HUANGy ... One example is the European call option which gives the holder the right to buy the underlying asset at a price xed in advance on the expiration date. iasLog("exclusion label : resp"); {code: 'ad_topslot_b', pubstack: { adUnitName: 'cdo_topslot', adUnitPath: '/2863368/topslot' }, mediaTypes: { banner: { sizes: [[728, 90]] } }, ]O7���}�d> { bidder: 'ix', params: { siteId: '195464', size: [120, 600] }}, {code: 'ad_topslot_a', pubstack: { adUnitName: 'cdo_topslot', adUnitPath: '/2863368/topslot' }, mediaTypes: { banner: { sizes: [[300, 50], [320, 50], [320, 100]] } }, { bidder: 'sovrn', params: { tagid: '346693' }}, 15 0 obj { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, "login": { googletag.pubads().disableInitialLoad(); The condition uses the Dirichlet-to-Neumann operator associated with the Helmholtz problem. QED. endobj The 49°N latitude line that separates the United States from Canada is an example. /F1 86 0 R bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776156', position: 'atf' }}, 8 0 obj 'min': 0, An artificial boundary is a fixed line generally following latitude or longitude lines. bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162050', zoneId: '776340', position: 'btf' }}, /Type /Page { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_SR' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, {code: 'ad_contentslot_2', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [336, 280]] } }, Indeed, since (1.ba) contains an absolute value of the wavenumber k, an inverse Fourier transform of (1.5) yields a {code: 'ad_topslot_a', pubstack: { adUnitName: 'cdo_topslot', adUnitPath: '/2863368/topslot' }, mediaTypes: { banner: { sizes: [[300, 250]] } }, storage: { var mapping_houseslot_b = googletag.sizeMapping().addSize([963, 0], []).addSize([0, 0], [300, 250]).build(); { bidder: 'sovrn', params: { tagid: '446383' }}, First, an exact relation between the normal stress and the velocity field is obtained on a spherical artificial boundary. { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_rightslot_flex' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_topslot' }}, var mapping_leftslot = googletag.sizeMapping().addSize([1063, 0], [[120, 600], [160, 600], [300, 600]]).addSize([963, 0], [[120, 600], [160, 600]]).addSize([0, 0], []).build(); { bidder: 'ix', params: { siteId: '195466', size: [728, 90] }}, { bidder: 'openx', params: { unit: '539971079', delDomain: 'idm-d.openx.net' }}, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, << Rivers are common boundaries between nations, states, and smaller political units such as counties. { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_HDX' }}, /Rotate 0 'cap': true iasLog("exclusion label : mcp"); }); {code: 'ad_topslot_b', pubstack: { adUnitName: 'cdo_topslot', adUnitPath: '/2863368/topslot' }, mediaTypes: { banner: { sizes: [[728, 90]] } }, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, { bidder: 'ix', params: { siteId: '195453', size: [320, 50] }}, { bidder: 'openx', params: { unit: '539971067', delDomain: 'idm-d.openx.net' }}, { bidder: 'appnexus', params: { placementId: '11654151' }}, { bidder: 'sovrn', params: { tagid: '346698' }}, /CropBox [0.0 0.0 614.0 793.0] /Creator (Acrobat 4.05 Capture Plug-in for Windows) dfpSlots['topslot_b'] = googletag.defineSlot('/2863368/topslot', [[728, 90]], 'ad_topslot_b').defineSizeMapping(mapping_topslot_b).setTargeting('sri', '0').setTargeting('vp', 'top').setTargeting('hp', 'center').addService(googletag.pubads()); 'increment': 1, /Contents [47 0 R 48 0 R 49 0 R 50 0 R 51 0 R 52 0 R 53 0 R 54 0 R] /Font 95 0 R } Artificial boundaries are put around the arts, and they are detrimental and disturbing. >> /CropBox [0.0 0.0 613.0 792.0] { bidder: 'openx', params: { unit: '539971070', delDomain: 'idm-d.openx.net' }}, { bidder: 'appnexus', params: { placementId: '11654150' }}, /OpenAction 3 0 R { bidder: 'sovrn', params: { tagid: '448834' }}, { bidder: 'sovrn', params: { tagid: '446383' }}, /Resources 19 0 R << /ModDate (D:20140410111616-07'00') { bidder: 'openx', params: { unit: '539971080', delDomain: 'idm-d.openx.net' }}, << An artificial boundary is introduced to make the computational domain finite. { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_rightslot' }}, On the artificial boundary an exact boundary condition is applied to reduce the original problem to an initial-boundary value problem. { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_rightslot' }}]}, stream { bidder: 'ix', params: { siteId: '195455', size: [320, 100] }}, /Parent 2 0 R { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, "Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. { bidder: 'sovrn', params: { tagid: '448834' }}, /First 16 0 R { bidder: 'ix', params: { siteId: '195465', size: [300, 250] }}, iasLog("criterion : cdo_ei = artificial-boundary"); Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. /Parent 2 0 R /MediaBox [0.0 0.0 614.0 794.0] { bidder: 'openx', params: { unit: '539971068', delDomain: 'idm-d.openx.net' }}, /Parent 2 0 R In geography, boundaries separate different regions of the Earth. Set up of Example 3 and artificial boundaries. params: { /A 88 0 R type: "html5", iasLog("criterion : cdo_pt = ex"); googletag.pubads().setTargeting("cdo_dc", "english"); },{ { bidder: 'ix', params: { siteId: '195453', size: [320, 100] }}, pbjs.que.push(function() { { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot_flex' }}, 4 0 obj { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, 'increment': 0.5, /Type /Outlines /Next 89 0 R googletag.pubads().collapseEmptyDivs(false); A new artificial boundary model based on multi-directional transmitting and viscous-spring artificial boundary theories is proposed to absorb stress waves in a saturated soil foundation in dynamic analysis. { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_SR' }}, { bidder: 'onemobile', params: { dcn: '8a9690ab01717182962182bb50ce0007', pos: 'cdo_mpuslot2_mobile_flex' }}, /Rotate 0 /MediaBox [0.0 0.0 623.0 799.0] { bidder: 'sovrn', params: { tagid: '387233' }}, iasLog("criterion : sfr = cdo_dict_english"); { bidder: 'ix', params: { siteId: '195453', size: [300, 250] }}, 9 0 obj bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162050', zoneId: '776338', position: 'btf' }}, /CropBox [0.0 0.0 613.0 792.0] "noPingback": true, "authorization": "https://dictionary.cambridge.org/us/auth/info?rid=READER_ID&url=CANONICAL_URL&ref=DOCUMENT_REFERRER&type=&v1=&v2=&v3=&v4=english&_=RANDOM", bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776144', position: 'btf' }}, endobj var mapping_houseslot_a = googletag.sizeMapping().addSize([963, 0], [300, 250]).addSize([0, 0], []).build(); bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776160', position: 'atf' }}, iasLog("exclusion label : wprod"); }], { bidder: 'sovrn', params: { tagid: '387232' }}, { bidder: 'ix', params: { siteId: '195452', size: [336, 280] }}, 10 0 obj "sign-up": "https://dictionary.cambridge.org/us/auth/signup?rid=READER_ID", { bidder: 'appnexus', params: { placementId: '11654150' }}, { bidder: 'openx', params: { unit: '539971069', delDomain: 'idm-d.openx.net' }}, { bidder: 'ix', params: { siteId: '195453', size: [300, 50] }}, /F2 87 0 R { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_leftslot' }}]}, { bidder: 'openx', params: { unit: '539971081', delDomain: 'idm-d.openx.net' }}, { bidder: 'ix', params: { siteId: '195467', size: [300, 50] }}, bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162050', zoneId: '776358', position: 'atf' }}, { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot2' }}]}]; /MediaBox [0 0 613 792] var pbMobileHrSlots = [ Artifical boundary is a boundary that is man-made. expires: 60 x��R�n�0��S��.Qh9)޹��Kf��*-�Z-�ķ_)#ff��\|g��y��^��~' ��A�o� << Each side’s military holds one side of an approximately 724-kilometer-long (450-mile-long) Line of Control. {code: 'ad_contentslot_2', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [320, 100], [320, 50], [300, 50]] } }, 'increment': 0.01, /Parent 4 0 R ga('send', 'pageview'); to say, usually falsely, that something is true, I can’t hear myself think: more interesting ways of saying ‘noisy’, Clear explanations of natural written and spoken English. 'cap': true var pbHdSlots = [ 18 0 obj { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_leftslot' }}]}, bids: [{ bidder: 'rubicon', params: { accountId: '17282', siteId: '162036', zoneId: '776160', position: 'atf' }}, endobj /Type /Page { bidder: 'appnexus', params: { placementId: '11654151' }}, { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_rightslot' }}]}, In a combined static-dynamic analysis, the static node displacement is directly used as the initial displacement condition of the dynamic analysis. 'cap': true /Title (CD-ROM Help) /MediaBox [0.0 0.0 619.0 798.0] enableSendAllBids: false, /Resources 55 0 R { bidder: 'appnexus', params: { placementId: '11654189' }}, { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_leftslot_160x600' }}, >> params: { { bidder: 'openx', params: { unit: '539971079', delDomain: 'idm-d.openx.net' }}, 'max': 3, /Resources 64 0 R /Resources << 20 0 obj { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot2' }}]}]; { bidder: 'onemobile', params: { dcn: '8a9690ab01717182962182bb50ce0007', pos: 'cdo_mpuslot_mobile_flex' }}, /Parent 4 0 R { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_topslot' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, << For example, the Dirichlet condition and Neumann condition are often used for elliptic partial differential equations. { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot2_flex' }}, /CropBox [0.0 0.0 614.0 793.0] /Type /Page { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_leftslot_160x600' }}, endobj { bidder: 'pubmatic', params: { publisherId: '158679', adSlot: 'cdo_mpuslot1' }}]}, pbjs.setConfig(pbjsCfg); The word in the example sentence does not match the entry word. Numerical examples of two- and three-dimensional scattering problems demonstrate the accuracy of proposed, The context for the strategy was the whole of the health authority area, but from a local government perspective, this was an, As a result, the conditions obtained are only transparent for waves with definite frequencies and/or angles of incidence to the, These conditions permit an equivalent replacement of the original external problem by the problem inside the, They have a population of only just over 300,000 living within an, I want to ensure that we do not accidentally create a loophole, and an, The local authority boundary has become merely an, Legal advice on similar cases has been that it is not even possible to draw an, For example, the shape can affect the measurement of origin-destination flows since these are often recorded when they cross an. The artificial boundary method generally means to in-troduce artificial boundaries, find boundary conditions on the artificial boundaries, and reduce the original problem to an equivalent or approximate problem defined on a bounded domain. {code: 'ad_contentslot_2', pubstack: { adUnitName: 'cdo_mpuslot', adUnitPath: '/2863368/mpuslot' }, mediaTypes: { banner: { sizes: [[300, 250], [336, 280]] } }, { bidder: 'triplelift', params: { inventoryCode: 'Cambridge_MidArticle' }}, { bidder: 'ix', params: { siteId: '195465', size: [300, 250] }}, /Count 12 { bidder: 'onemobile', params: { dcn: '8a969411017171829a5c82bb4deb000b', pos: 'cdo_mpuslot2_flex' }}, { bidder: 'criteo', params: { networkId: 7100, publisherSubId: 'cdo_mpuslot' }}, { bidder: 'openx', params: { unit: '539971069', delDomain: 'idm-d.openx.net' }}, 'min': 31, Kind of like the border of the U.S. and Canada. { bidder: 'sovrn', params: { tagid: '448835' }}, /Contents [65 0 R 66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R] Usage explanations of natural written and spoken English, 0 && stateHdr.searchDesk ? 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