A multi-sill magma plumbing system beneath the axis of the East Pacific Rise
|
|
- Clare Hutchinson
- 5 years ago
- Views:
Transcription
1 A multi-sill mgm pluming system eneth the xis of the Est Pcific Rise Milen Mrjnović 1*, Suznne M. Crotte 1, Helene Crton 1, Mlden Nedimović 2,1, John C. Mutter 1, Jun Plo Cnles 3 1 Lmont-Doherty Erth Oservtory, Columi University, Plisdes, New York, USA 2 Deprtment of Erth Sciences, Dlhousie University, Hlifx, Nov Scoti, Cnd 3 Woods Hole Ocenogrphic Institution, Woods Hole, Msschusetts, USA *Corresponding uthor. E-mil: milen@ldeo.columi.edu NATURE GEOSCIENCE 1
2 Supplementry Discussion Possile origins for seismic events rriving t two-wy trvel times lter thn the AML re descried here in more detil. These include internl multiples, sefloor side scttering, nd out-of-plne imging of the AML or other intr-crustl horizons. Internl multiples. To explore the possiility tht the SAML events could e internl multiples, we clculte predicted pths, ssuming 1D ridge structure nd zero-offset, nd using twtt picks for sefloor, lyer 2A nd AML picked long xis2r1, for 1 st nd 2 nd order intred multiples within lyer 2A (extrusive slt lyer), the 1 st intred multiple within lyer 2B (dyke lyer) nd 1 st intered multiple within the whole upper crust (slts nd dykes) (Fig. S4-S5). The predicted lyer 2B intred nd lyer 2 intered multiples rrive t twtts > s, ut do not mtch ny of the deeper SAMLs we oserve, which elimintes these multiples s possile explntion. For the shllowest SAML events locted t s elow the AML, lthough there re regions where the twtt of these events coincides with either the 1 st or 2 nd order lyer 2A intred multiple, no consistent mtch is oserved. For exmple, while the twtt to the SAML t 9º51-53 N roughly coincides with the predicted twtt of the 1 st order intred multiple, north of 9º54 N the SAML event deepens nd its twtt cn e more closely mtched y the predicted pth of the 2 nd order lyer 2A intred multiple (Figs S4-S5). Further evidence tht the shllowest SAML events re not multiples comes from the source-receiver offset t which they re detected (Fig. S6). Multiples should e oserved t source-receiver offsets similr to or greter thn the offset rnge within which the primry events involved in the genertion of the multiple re oserved. Our dt show tht the SAMLs stck s prominent events t source-receiver offsets <1000 m (Fig. S6c) wheres the lyer 2A event, which is not true reflection 1, is not present t these ner offsets (Fig. S6). Side scttering from sefloor topogrphy nd intr-crustl events. Side-sctter rrivls from rough sefloor topogrphy locted outside the imging plne cn e recorded in mrine 2 NATURE GEOSCIENCE
3 SUPPLEMENTARY INFORMATION seismic sections nd potentilly misinterpreted s true structure 2. As illustrted in Fig. S7, side-scttered energy rising from the prominent fult scrps locted on the west flnk of the ridge xis re predicted to rrive t twtts ~ s, which is greter thn the trveltimes of the oserved SAMLs (Figs S7c, d). Arrivls in our seismic sections tht mtch the clculted trveltimes over long-xis distnces of severl kilometers cn e confidently ttriuted to sideswipe from these fults (Fig. S7d). The genertion of sideswipe from out-of-plne intr-crustl reflectors (here the AML) my lso occur. This is common prolem of 2D crustl-scle seismic reflection studies 3. Some of the most prominent SAML events re imged within the re for which full 3D survey ws conducted (Fig. S1) nd hence their 3D geometry cn e exmined (Fig. S8). Profiles extrcted from the 3D seismic volume 4 show tht the SAMLs imged in the longxis direction (Fig. S8) re present in cross-xis sections (Figs S8-g) s distinct events elow the AML, t roughly the sme trveltimes s recorded on the long-xis dt. While the geometry of the internl multiples is expected to mimic the shpe of the generting primries, the cross-xis profiles show tht the geometry of the SAML events differs in chrcter from the AML event ove (e.g. in shpe, complexity, dip of diffrction tils, Figs S8-d). For instnce, in the cross-xis stcked section shown in Fig. S8 the AML ppers s complex reflection for which two nd possily three distinct diffrction hyperols (rising from the edges of possily composite AML) cn e identified extending over ~1800 m in cross-xis direction. In contrst, the SAML in this section is much nrrower (~500 m) single event with poorly imged edge diffrctions. NATURE GEOSCIENCE 3
4 Supplementry Methods Picking seismic horizons. Seismic rrivls re digitized from the 2D sections using Prdigm s 2D interprettion tool Section with n estimted picking uncertinty of ±0.008 s. Additionl uncertinties in rrivl trveltimes rise from the choice of stcking velocities which re derived from the ESP5 velocity function for the ridge xis t 9 34 N (ref. 5) with dditionl velocity nlysis performed vi semlnce nd constnt velocity stcking methods. From the rnge of stcking velocities tht est imge the events of interest, we estimte stcking errors of ±0.016 s for lyer 2A nd ±0.008 s for the AML nd SAML events. For the swth 3D volumes the sme seismic horizons re identified nd digitized using the Propgtor tool ville in VoxelGeo (Prdigm s 3D interprettion softwre), with the sme picking uncertinties s for the 2D interprettion. CMP supergthers. In CMP gthers, the AML nd SAML rrivls s well s converted sher phses from the AML (P AML S) re oscured t mid to fr source-receiver offsets y lower velocity reflection nd refrction events rising in the shllower crust (i.e. sefloor nd lyer 2A). To improve imges of the deeper intrcrustl events, f-k dip filtering is used to eliminte the contminting steeply-dipping sefloor nd lyer 2A energy. To void sptil lising when pplying n f-k dip-filter, filtering should e conducted on shot gthers or on interleved CMP gthers 6. For the ltter, the geometry of the reflectors must e uniform (i.e. horizontlly lyered) with no significnt lterl chnges in velocity in the region over which composite CMP gther is defined. We ssume tht these pproximtions re vlid for the long-xis crustl structure, especilly over short distnces (<200 m) nd thus pply frequency-wvenumer (f-k) filtering on 24-fold CMP gthers (or CMP supergthers), ech spnning n long-xis distnce of ~150 m. 4 NATURE GEOSCIENCE
5 SUPPLEMENTARY INFORMATION References 1. Hrding, A. J., Kent, G. M. & Orcutt, J. A., A Multichnnel Seismic Investigtion of Upper Crustl Structure t 9 N on the Est Pcific Rise: Implictions for Crustl Accretion. J. Geophys. Res. 98, 13,925 13,944 (1993). 2. Günther, R.H., Klemperer, S.L. & Goodliffe, A., Modeling sideswipe in 2D ocenic surveys from sonr dt: Applictions to the Mrin rc. Tectonophysics 420, (2006). 3. Nedimović, M. R. & West, G. F., Crooked-line 2D seismic reflection imging in crystlline terrins: Prt 1, dt processing. Geophysics, 68, (2003). 4. Crton, H. D. et l. Three-dimensionl seismic reflection imges of xil melt lens nd seismic lyer 2A etween 9 42 N nd 9 57 N on the Est Pcific Rise. Astrct OS21C- 1514, Fll Meeting, AGU, Sn Frncisco, Cliforni, (2010). 5. Ver, E. E. et l. The Structure of 0- to 0.2-m.y.-Old Ocenic Crust t 9 N on the Est Pcific Rise From Expnded Spred Profiles. J. Geophys. Res. 95, 15,529 15,556 (1990). 6. Yilmz, Ö., Seismic Dt Anlysis, Processing, Inversion, nd Interprettion of Seismic Dt (Society of Explortion Geophysicists, 2001). 7. White, S. M., Hymon, R. M., & Crotte, S. M., A new view of ridge segmenttion nd ner-xis volcnism t the Est Pcific Rise, 8-12ºN, from EM300 multiem thymetry. Geochem. Geophys. Geosyst. 7, Q12O05 (2006). NATURE GEOSCIENCE 5
6 Depth (m) 2,400 2,600 >2,800 xis 2r1 lv flow xis 2r1 hydrotherml vent SAMLs twtt elow AML (s) c S 5.0 9º20 5 km º25 9º30 9º35 9º40 9º45 9º50 9º55 e 1 3 N d 9º22 9º24 9º26 9º28 f ? 9º38 9º40 9º42 9º44 9º32 9º34 9º44 9º46 9º48 9º50 9º52 9º54 9º56 Figure S1. SAML events long the EPR N., Bthymetry 7 showing two-wy-trvel-time (twtt) to the SAML events elow the AML with indicted long seismic line xis2r1, which roughly follows the eruptive fissure zone of the EPR., Migrted seismic section xis2r1. Verticl dshed lines indicte CMP supergthers shown in Fig. S2. Horizontl rrows show extent of the cross-xis 3D survey. Numered lck oxes 1-4 highlight res shown in detil in pnels c, d, e nd f. Red rrowheds indicte AML nd green rrowheds indicte SAMLs. The rest of the symols re s in Fig NATURE GEOSCIENCE
7 SUPPLEMENTARY INFORMATION offset (m) 1,000 2,000 3,000 4,000 5,000 6,000 SuperCMP ,000 2,000 3,000 4,000 5,000 6,000 offset (m) SuperCMP PAMLP PSAMLP PAMLP PSAMLP PAMLS 5.0 c 5.0 d offset (m)1,000 2,000 3,000 4,000 5,000 6,000 SuperCMP offset (m) 1,000 2,000 3,000 4,000 5,000 6,000 SuperCMP PAMLP PSAMLP PAMLP PSAMLP PAMLS Figure S2. Exmple CMP supergthers., (centred t ~9º43 N) nd, CMP (centred t ~9º52 N), oth extrcted from xis2r1 (loctions shown in Fig. S1). Arrivls include P wves reflecting from the AML (P AML P), P wve reflecting from the SAML (P SAML P) nd P-to-S converted wve off the AML (P AML S). c, nd d, re the sme s nd, respectively, with modelled twtt of the ove events superimposed (dshed red P AML P, green P SAML P nd lue P AML S). Predicted pths re clculted using ESP5 velocity model 5. For SAML we ssume the sme twtt ehviour s for the AML. PAMLS º20 9º25 9º º35 9º40 9º45 9º50 9º55 `P S P sefloor lyer 2A AML Figure S3. P-to-S converted phse (P AML S) imge. Prtil offset stck for the P AML S (see Supplementry Methods). Verticl dshed lines represent loctions of CMP supergthers shown in Fig. S2. Block model of lyered ocenic crust shows schemtic ry pth for P AML S converted phse: `P down-going compressionl wve, S up-going sher wve nd P up-going compressionl wve. NATURE GEOSCIENCE 7
8 xis 2r1 lyer 2A sefloor AML S 5 km 9º20 9º25 9º N 9º35 9º40 9º45 9º50 9º55 1st lyer 2A intred 2nd lyer 2A intred 1st lyer 2B intred 1st AML intered 1 sefloor lyer 2A AML 2 sefloor lyer 2A AML 3 sefloor lyer 2A lyer 2B AML 4 sefloor lyer 2A lyer 2B AML Figure S4. Predicted trvel times for internl multiples., Migrted seismic section (s shown in Fig. S1) with digitized picks of primry horizons, nd predicted multiples superimposed. Primry events: sefloor (yellow), lyer 2A (green) nd AML (red); multiples: 1 st order lyer 2A intred multiple (drk lue), 2 nd order lyer 2A intred multiple (light lue), intred lyer 2B multiple (purple), intered AML multiple (ornge). Predicted pths for multiples re clculted using twtt of the primry events nd ssuming zero sourcereceiver offset. Verticl dshed lines represent loctions of CMP supergthers shown in Fig. S2., Block models showing schemtic ry pths for intr/intered multiples included in (sme numering nd colour code). Note tht non-zero offset ry pths re used for illustrtion clrity. 8 NATURE GEOSCIENCE
9 SUPPLEMENTARY INFORMATION º22 9º26 9º32 9º34 9º38 9º42 9º44 9º48 9º52 9º56 c d 3.7 9º22 9º26 9º22 9º26 9º22 9º26 9º32 9º º32 9º34 9º32 9º34 9º38 9º42 9º38 9º42 9º38 9º42 9º44 9º48 9º52 9º56 9º º48 9º52 9º56 9º44 9º48 9º52 9º56 Figure S5. Comprison etween oserved seismic rrivls nd predicted trveltimes for lyer 2A intred multiples. Close-up sections from seismic line xis2r1 corresponding to oxes 1-4 shown in Fig. S1., Seismic sections showing sefloor nd lyer 2A events with digitized horizons superimposed., Seismic sections showing AML nd SAML with AML horizon picks nd predicted trveltimes for 1 st nd 2 nd order intred multiples within lyer 2A superimposed. Horizon picks re shifted ~0.01 s for etter visiility of the reflection events. Colour code s in Fig. S5. c, Amplitude envelope seismic ttriute for lyer 2A clculted within the time window to exclude sefloor rrivl. d, Amplitude envelope seismic ttriute clculted for the AML nd SAML events. For the lst row of pnels, sections 1 nd 2, higher gin is needed due to low reflection signl of the events. The rrowheds mrk loctions of the AML (red) nd SAML (green). NATURE GEOSCIENCE 9
10 V=1560 m/s offset m 9º20 9º25 9º30 9º35 9º40 9º45 9º50 9º º44 9º48 V=1560 m/s offset m 9º20 9º25 9º30 9º35 9º40 9º45 9º50 9º º44 9º48 c V=2600 m/s offset m 9º20 9º25 9º30 9º35 9º40 9º45 9º50 9º º44 9º48 Figure S6. Constnt velocity, prtil-offset stcks., Ner source-receiver offset ( m) stck for stcking velocity V=1560 m/s, pproprite for lyer 2A., Mid- source-receiver offset stck ( m), stcked with V=1560 m/s. Lyer 2A (pink rrowheds) is imged in this mid-offset stck t ~0.1 s elow the sefloor. c, Ner source-receiver offset stck ( m), stcked with AML velocity (V=2600 m/s). AML nd SAML events pper oth in ner offset stck nd re highlighted y red nd green rrowheds, respectively. Blck oxes outline re centred t ~9º45 N tht is shown in pnels to the right. 10 NATURE GEOSCIENCE
11 SUPPLEMENTARY INFORMATION 10º06 10º04 10º02 xis 2r1 10º00 sefloor fult scrp ~ x ~ 9º58 9º56 9º54 9º52 SAML 9º50 9º48 c -104º24-104º18-104º12 d km 6.5 9º48 9º50 9º52 9º54 9º56 9º58 10º00 10º02 10º04 10º06 Figure S7. Side-scttered energy from sefloor topogrphy., Schemtic digrm illustrting side-scttered energy from fult scrp locted t horizontl distnce x from the survey line, projected onto the verticl imging plne (sefloor profile is shown in rown line)., Bthymetry mp for the EPR N showing prominent sefloor fult scrps on the west flnk of the ridge xis (mrked in red) s possile sources of side-sctter energy. The fult scrps re locted t horizontl distnces of ~2 km from the seismic profile. c, Migrted xis2r1 section extending etween 3.9 nd s twtt showing presence of AML (indicted with red rrowheds) nd SAMLs (green rrowheds). d, Modelled twtt for side-scttered energy from the fult scrps mpped in (red line) projected onto wter velocity stcked xis2r1 seismic section extending etween nd 6.5 s two-wy-trvel time. Side-scttered energy identified in the seismic section is mrked in white rrows. Grey shded region is to indicte low fold in seismic dtset. NATURE GEOSCIENCE 11
12 º44 9º46 9º48 9º50 9º52 9º54 9º56 1 e 1 c -104º18-104º17-104º16-104º18-104º17-104º16 2 f 2 d -104º18-104º17-104º18-104º17 3 g 3-104º19-104º18-104º17-104º19-104º18-104º17 Figure S8. 3D geometry of the SAML events., Migrted long-xis seismic section xis2r1 showing AML (in red rrowheds) nd SAML (green rrowheds) within the eruption re (s in Fig. S1f). Dshed red lines show loctions of three cross-xis profiles (1-3), centred t 9º49.3, 9º50.4 nd 9º53.25 N, extrcted from the 3D seismic volume ville in this region. Crossxis seismic sections in pnels -d re stcked sections, nd e-g with migrtion velocities pproprite for the AML. See Supplementry Discussion for further detils. 12 NATURE GEOSCIENCE
A027 Uncertainties in Local Anisotropy Estimation from Multi-offset VSP Data
A07 Uncertinties in Locl Anisotropy Estimtion from Multi-offset VSP Dt M. Asghrzdeh* (Curtin University), A. Bon (Curtin University), R. Pevzner (Curtin University), M. Urosevic (Curtin University) & B.
More informationNear-surface S-wave velocity from an uphole survey using explosive sources
Ner-surfce S-wve velocity from n uphole survey using explosive sources Sul E. Guevr*, Gry F. Mrgrve, (CREWES, University of Clgry) nd Willim M. Agudelo (Ecopetrol-ICP, Colomi). Summry A ner-surfce S-wve
More informationSupplementary Figure 1 Supplementary Figure 2
Supplementry Figure 1 Comprtive illustrtion of the steps required to decorte n oxide support AO with ctlyst prticles M through chemicl infiltrtion or in situ redox exsolution. () chemicl infiltrtion usully
More informationSUPPLEMENTARY INFORMATION
doi:.38/nture8499 doi:.38/nture8499 5 6 5 4.5 Firing rte (Hz) -67-65 -66-6 -58 V m (mv) -7-67 -68-66 -64 c Thet power (mv ) -73-69 -7-7 -7.5.8 3....9.9.4.6.6. 9 8 9 8 9 8 9 8 9 8 Supplementry Figure Firing
More informationExamples Using both 2-D sections from Figure 3, data has been modeled for (acoustic) P and (elastic) S wave field
Suslt illumintion studies through longitudinl nd trnsversl wve propgtion Riz Ali *, Jn Thorecke nd Eric Verschuur, Delft University of Technology, The Netherlnds Copyright 2007, SBGf - Sociedde Brsileir
More informationTremor-rich shallow dyke formation followed by silent magma flow at Bárðarbunga in Iceland
In the formt provided y the uthors nd unedited. SUPPLEMENTARY INFORMATION DOI: 1.138/NGEO9 Tremor-rich shllow dyke formtion followed y silent mgm flow t Bárðrung in Icelnd 1,, 1, 3 1, 1 1, NATURE GEOSCIENCE
More information8.6 The Hyperbola. and F 2. is a constant. P F 2. P =k The two fixed points, F 1. , are called the foci of the hyperbola. The line segments F 1
8. The Hperol Some ships nvigte using rdio nvigtion sstem clled LORAN, which is n cronm for LOng RAnge Nvigtion. A ship receives rdio signls from pirs of trnsmitting sttions tht send signls t the sme time.
More informationSeismic identification of along-axis hydrothermal flow on the East Pacific Rise 9 50 N
Vol 451 1 Jnury 28 doi:1.138/nture6424 LETTERS Seismic identifiction of long-xis hydrotherml flow on the Est Pcific Rise M. Tolstoy 1, F. Wldhuser 1, D. R. Bohnenstiehl 1 {, R. T. Weekly 1 & W.-Y. Kim
More informationLesson 8.1 Graphing Parametric Equations
Lesson 8.1 Grphing Prmetric Equtions 1. rete tle for ech pir of prmetric equtions with the given vlues of t.. x t 5. x t 3 c. x t 1 y t 1 y t 3 y t t t {, 1, 0, 1, } t {4,, 0,, 4} t {4, 0,, 4, 8}. Find
More informationVorticity. curvature: shear: fluid elements moving in a straight line but at different speeds. t 1 t 2. ATM60, Shu-Hua Chen
Vorticity We hve previously discussed the ngulr velocity s mesure of rottion of body. This is suitble quntity for body tht retins its shpe but fluid cn distort nd we must consider two components to rottion:
More informationBME 207 Introduction to Biomechanics Spring 2018
April 6, 28 UNIVERSITY O RHODE ISAND Deprtment of Electricl, Computer nd Biomedicl Engineering BME 27 Introduction to Biomechnics Spring 28 Homework 8 Prolem 14.6 in the textook. In ddition to prts -e,
More informationINVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD
INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD Gökçen ERYILMAZ TÜRKKAN, Serdr KORKMAZ Uludg University, Civil Engineering Deprtment, Burs, Turkey geryilmz@uludg.edu.tr,
More informationDerivations for maximum likelihood estimation of particle size distribution using in situ video imaging
2 TWMCC Texs-Wisconsin Modeling nd Control Consortium 1 Technicl report numer 27-1 Derivtions for mximum likelihood estimtion of prticle size distriution using in situ video imging Pul A. Lrsen nd Jmes
More informationReview of Gaussian Quadrature method
Review of Gussin Qudrture method Nsser M. Asi Spring 006 compiled on Sundy Decemer 1, 017 t 09:1 PM 1 The prolem To find numericl vlue for the integrl of rel vlued function of rel vrile over specific rnge
More informationDesigning Information Devices and Systems I Spring 2018 Homework 7
EECS 16A Designing Informtion Devices nd Systems I Spring 2018 omework 7 This homework is due Mrch 12, 2018, t 23:59. Self-grdes re due Mrch 15, 2018, t 23:59. Sumission Formt Your homework sumission should
More informationSummary. Introduction
Improved suslt imging using TTI nisotropy nd reverse time migrtion scns Duryodhn Epili*, George Cloudy Jr., Jun Ci, Quincy Zhng, Roy Cmp nd Simon Lopez-Mor, TGS Summry We present n dvnced velocity model
More information7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus
7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e
More informationSeismic Attributes used for Reservoir Simulation: Application to a Heavy Oil Reservoir in Canada
Seismic Attriutes used for Reservoir Simultion: Appliction to Hevy Oil Reservoir in Cnd Crmen Dumitrescu* Sensor Geophysicl Ltd, Clgry, AB crmen_dumitrescu@sensorgeo.com nd Lrry Lines University of Clgry,
More informationMatching patterns of line segments by eigenvector decomposition
Title Mtching ptterns of line segments y eigenvector decomposition Author(s) Chn, BHB; Hung, YS Cittion The 5th IEEE Southwest Symposium on Imge Anlysis nd Interprettion Proceedings, Snte Fe, NM., 7-9
More informationPolynomials and Division Theory
Higher Checklist (Unit ) Higher Checklist (Unit ) Polynomils nd Division Theory Skill Achieved? Know tht polynomil (expression) is of the form: n x + n x n + n x n + + n x + x + 0 where the i R re the
More information1 ELEMENTARY ALGEBRA and GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE
ELEMENTARY ALGEBRA nd GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE Directions: Study the exmples, work the prolems, then check your nswers t the end of ech topic. If you don t get the nswer given, check
More informationThe Properties of Stars
10/11/010 The Properties of Strs sses Using Newton s Lw of Grvity to Determine the ss of Celestil ody ny two prticles in the universe ttrct ech other with force tht is directly proportionl to the product
More information2. VECTORS AND MATRICES IN 3 DIMENSIONS
2 VECTORS AND MATRICES IN 3 DIMENSIONS 21 Extending the Theory of 2-dimensionl Vectors x A point in 3-dimensionl spce cn e represented y column vector of the form y z z-xis y-xis z x y x-xis Most of the
More informationTrigonometric Functions
Exercise. Degrees nd Rdins Chpter Trigonometric Functions EXERCISE. Degrees nd Rdins 4. Since 45 corresponds to rdin mesure of π/4 rd, we hve: 90 = 45 corresponds to π/4 or π/ rd. 5 = 7 45 corresponds
More informationSeptember 13 Homework Solutions
College of Engineering nd Computer Science Mechnicl Engineering Deprtment Mechnicl Engineering 5A Seminr in Engineering Anlysis Fll Ticket: 5966 Instructor: Lrry Cretto Septemer Homework Solutions. Are
More informationPHY 140A: Solid State Physics. Solution to Midterm #1
PHY 140A: Solid Stte Physics Solution to Midterm #1 TA: Xun Ji 1 October 24, 2006 1 Emil: jixun@physics.ucl.edu Problem #1 (20pt)Clculte the pcking frction of the body-centered cubic lttice. Solution:
More informationDesigning Information Devices and Systems I Fall 2016 Babak Ayazifar, Vladimir Stojanovic Homework 6. This homework is due October 11, 2016, at Noon.
EECS 16A Designing Informtion Devices nd Systems I Fll 2016 Bk Ayzifr, Vldimir Stojnovic Homework 6 This homework is due Octoer 11, 2016, t Noon. 1. Homework process nd study group Who else did you work
More informationCompiler Design. Fall Lexical Analysis. Sample Exercises and Solutions. Prof. Pedro C. Diniz
University of Southern Cliforni Computer Science Deprtment Compiler Design Fll Lexicl Anlysis Smple Exercises nd Solutions Prof. Pedro C. Diniz USC / Informtion Sciences Institute 4676 Admirlty Wy, Suite
More informationPhysics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018
Physics 201 Lb 3: Mesurement of Erth s locl grvittionl field I Dt Acquisition nd Preliminry Anlysis Dr. Timothy C. Blck Summer I, 2018 Theoreticl Discussion Grvity is one of the four known fundmentl forces.
More informationVSP 1.5. Main Menu. SEG/Houston 2005 Annual Meeting 2625
3C VSP Tomogrphy Inversion for Subsurfce P- nd S-Wve Velocity Distribution Yingping Li, Xiomin Zho, Rn Zhou, nd Dvid Dushmn, VSFusion, A Bker Hughes CGG Compny Peter Jnk, TOTAL E&P USA, Inc. Summry First
More informationThe development of nanoscale morphology in polymer:fullerene. photovoltaic blends during solvent casting
Supplementry informtion Supplementry Mteril (ES) for Soft Mtter The development of nnoscle morphology in polymer:fullerene photovoltic lends during solvent csting To Wng, * Aln D. F. Dunr, Pul A. Stniec,
More information2 Calculate the size of each angle marked by a letter in these triangles.
Cmridge Essentils Mthemtics Support 8 GM1.1 GM1.1 1 Clculte the size of ech ngle mrked y letter. c 2 Clculte the size of ech ngle mrked y letter in these tringles. c d 3 Clculte the size of ech ngle mrked
More informationLinear Systems with Constant Coefficients
Liner Systems with Constnt Coefficients 4-3-05 Here is system of n differentil equtions in n unknowns: x x + + n x n, x x + + n x n, x n n x + + nn x n This is constnt coefficient liner homogeneous system
More informationSection 6: Area, Volume, and Average Value
Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find
More informationMIXED MODELS (Sections ) I) In the unrestricted model, interactions are treated as in the random effects model:
1 2 MIXED MODELS (Sections 17.7 17.8) Exmple: Suppose tht in the fiber breking strength exmple, the four mchines used were the only ones of interest, but the interest ws over wide rnge of opertors, nd
More information8Similarity UNCORRECTED PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.
8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8. re nd volume scle fctors 8. Review U N O R R E TE D P G E PR O O FS 8.1 Kick off with S Plese refer to the Resources t in the Prelims
More informationA Brief Review on Akkar, Sandikkaya and Bommer (ASB13) GMPE
Southwestern U.S. Ground Motion Chrcteriztion Senior Seismic Hzrd Anlysis Committee Level 3 Workshop #2 October 22-24, 2013 A Brief Review on Akkr, Sndikky nd Bommer (ASB13 GMPE Sinn Akkr Deprtment of
More informationEnergy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene
Force (kcl mol -1 Å -1 ) Energy (kcl mol -1 ) 3 1-1 - -3 Mixed Mo-only S-only Grphene 6 5 3 1 Mixed Mo-only S-only Grphene - -1-1 1 Pore xis (Å) -1 1 Pore xis (Å) Supplementry Figure 1 Energy Brriers.
More informationI1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3
2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is
More information2.4 Linear Inequalities and Interval Notation
.4 Liner Inequlities nd Intervl Nottion We wnt to solve equtions tht hve n inequlity symol insted of n equl sign. There re four inequlity symols tht we will look t: Less thn , Less thn or
More informationSupplementary Information for Directional Reflective Surface Formed via Gradient- Impeding Acoustic Meta-surfaces
Supplementry Informtion for Directionl Reflective Surfce Formed vi Grdient- Impeding Acoustic Met-surfces Kyungjun Song 1*, Jedo Kim 2, Hur Shin 1, Jun-Hyuk Kwk 1, Seong-Hyun Lee 3,Tesung Kim 4 1 Deprtment
More informationMethod of Localisation and Controlled Ejection of Swarms of Likely Charged Particles
Method of Loclistion nd Controlled Ejection of Swrms of Likely Chrged Prticles I. N. Tukev July 3, 17 Astrct This work considers Coulom forces cting on chrged point prticle locted etween the two coxil,
More informationState space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies
Stte spce systems nlysis (continued) Stbility A. Definitions A system is sid to be Asymptoticlly Stble (AS) when it stisfies ut () = 0, t > 0 lim xt () 0. t A system is AS if nd only if the impulse response
More information1 From NFA to regular expression
Note 1: How to convert DFA/NFA to regulr expression Version: 1.0 S/EE 374, Fll 2017 Septemer 11, 2017 In this note, we show tht ny DFA cn e converted into regulr expression. Our construction would work
More informationSUPPLEMENTARY INFORMATION
DOI: 1.138/NMAT3984 Supplementry Informtion for Improved performnce nd stility in quntum dot solr cells through nd lignment engineering Chi- Ho M. Chung 1, Ptrick R. Brown 2, Vldimir Bulović 3 & Moungi
More informationLAMEPS Limited area ensemble forecasting in Norway, using targeted EPS
Limited re ensemle forecsting in Norwy, using trgeted Mrit H. Jensen, Inger-Lise Frogner* nd Ole Vignes, Norwegin Meteorologicl Institute, (*held the presenttion) At the Norwegin Meteorologicl Institute
More informationTitle of file for HTML: Supplementary Information Description: Supplementary Figures. Title of file for HTML: Peer Review File Description:
Title of file for HTML: Supplementry Informtion Description: Supplementry Figures Title of file for HTML: Peer Review File Description: WTP SST IPO PDO WTP leds IPO PDO Supplementry Figure 1 IPO (or PDO)
More information8. Complex Numbers. We can combine the real numbers with this new imaginary number to form the complex numbers.
8. Complex Numers The rel numer system is dequte for solving mny mthemticl prolems. But it is necessry to extend the rel numer system to solve numer of importnt prolems. Complex numers do not chnge the
More information[ ( ) ( )] Section 6.1 Area of Regions between two Curves. Goals: 1. To find the area between two curves
Gols: 1. To find the re etween two curves Section 6.1 Are of Regions etween two Curves I. Are of Region Between Two Curves A. Grphicl Represention = _ B. Integrl Represention [ ( ) ( )] f x g x dx = C.
More informationNUMERICAL INTEGRATION. The inverse process to differentiation in calculus is integration. Mathematically, integration is represented by.
NUMERICAL INTEGRATION 1 Introduction The inverse process to differentition in clculus is integrtion. Mthemticlly, integrtion is represented by f(x) dx which stnds for the integrl of the function f(x) with
More informationFirst compression (0-6.3 GPa) First decompression ( GPa) Second compression ( GPa) Second decompression (35.
0.9 First ompression (0-6.3 GP) First deompression (6.3-2.7 GP) Seond ompression (2.7-35.5 GP) Seond deompression (35.5-0 GP) V/V 0 0.7 0.5 0 5 10 15 20 25 30 35 P (GP) Supplementry Figure 1 Compression
More informationDate Lesson Text TOPIC Homework. Solving for Obtuse Angles QUIZ ( ) More Trig Word Problems QUIZ ( )
UNIT 5 TRIGONOMETRI RTIOS Dte Lesson Text TOPI Homework pr. 4 5.1 (48) Trigonometry Review WS 5.1 # 3 5, 9 11, (1, 13)doso pr. 6 5. (49) Relted ngles omplete lesson shell & WS 5. pr. 30 5.3 (50) 5.3 5.4
More informationThings to Memorize: A Partial List. January 27, 2017
Things to Memorize: A Prtil List Jnury 27, 2017 Chpter 2 Vectors - Bsic Fcts A vector hs mgnitude (lso clled size/length/norm) nd direction. It does not hve fixed position, so the sme vector cn e moved
More information1 Which of the following summarises the change in wave characteristics on going from infra-red to ultraviolet in the electromagnetic spectrum?
Which of the following summrises the chnge in wve chrcteristics on going from infr-red to ultrviolet in the electromgnetic spectrum? frequency speed (in vcuum) decreses decreses decreses remins constnt
More information1 Nondeterministic Finite Automata
1 Nondeterministic Finite Automt Suppose in life, whenever you hd choice, you could try oth possiilities nd live your life. At the end, you would go ck nd choose the one tht worked out the est. Then you
More informationResources. Introduction: Binding. Resource Types. Resource Sharing. The type of a resource denotes its ability to perform different operations
Introduction: Binding Prt of 4-lecture introduction Scheduling Resource inding Are nd performnce estimtion Control unit synthesis This lecture covers Resources nd resource types Resource shring nd inding
More informationp-adic Egyptian Fractions
p-adic Egyptin Frctions Contents 1 Introduction 1 2 Trditionl Egyptin Frctions nd Greedy Algorithm 2 3 Set-up 3 4 p-greedy Algorithm 5 5 p-egyptin Trditionl 10 6 Conclusion 1 Introduction An Egyptin frction
More informationAnalytically, vectors will be represented by lowercase bold-face Latin letters, e.g. a, r, q.
1.1 Vector Alger 1.1.1 Sclrs A physicl quntity which is completely descried y single rel numer is clled sclr. Physiclly, it is something which hs mgnitude, nd is completely descried y this mgnitude. Exmples
More informationParse trees, ambiguity, and Chomsky normal form
Prse trees, miguity, nd Chomsky norml form In this lecture we will discuss few importnt notions connected with contextfree grmmrs, including prse trees, miguity, nd specil form for context-free grmmrs
More informationexpression simply by forming an OR of the ANDs of all input variables for which the output is
2.4 Logic Minimiztion nd Krnugh Mps As we found ove, given truth tle, it is lwys possile to write down correct logic expression simply y forming n OR of the ANDs of ll input vriles for which the output
More information7.1 Integral as Net Change Calculus. What is the total distance traveled? What is the total displacement?
7.1 Integrl s Net Chnge Clculus 7.1 INTEGRAL AS NET CHANGE Distnce versus Displcement We hve lredy seen how the position of n oject cn e found y finding the integrl of the velocity function. The chnge
More informationREVISITING SH-WAVE DATA USING LOVE-WAVE ANALYSIS. Abstract
REVISITING SH-WAVE DATA USING LOVE-WAVE ANALYSIS Jinghi Xi, Knss Geologicl Survey, The University of Knss, Lwrence, Knss Richrd D. Miller, Knss Geologicl Survey, The University of Knss, Lwrence, Knss Recep
More information8Similarity ONLINE PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.
8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8.4 re nd volume scle fctors 8. Review Plese refer to the Resources t in the Prelims section of your eookplus for comprehensive step-y-step
More informationFirst Midterm Examination
Çnky University Deprtment of Computer Engineering 203-204 Fll Semester First Midterm Exmintion ) Design DFA for ll strings over the lphet Σ = {,, c} in which there is no, no nd no cc. 2) Wht lnguge does
More information5: The Definite Integral
5: The Definite Integrl 5.: Estimting with Finite Sums Consider moving oject its velocity (meters per second) t ny time (seconds) is given y v t = t+. Cn we use this informtion to determine the distnce
More informationLinear Inequalities. Work Sheet 1
Work Sheet 1 Liner Inequlities Rent--Hep, cr rentl compny,chrges $ 15 per week plus $ 0.0 per mile to rent one of their crs. Suppose you re limited y how much money you cn spend for the week : You cn spend
More information, if x 1 and f(x) = x, if x 0.
Indin Institute of Informtion Technology Design nd Mnufcturing, Kncheepurm Chenni 600 7, Indi An Autonomous Institute under MHRD, Govt of Indi An Institute of Ntionl Importnce wwwiiitdmcin COM05T Discrete
More informationSTRAND J: TRANSFORMATIONS, VECTORS and MATRICES
Mthemtics SKE: STRN J STRN J: TRNSFORMTIONS, VETORS nd MTRIES J3 Vectors Text ontents Section J3.1 Vectors nd Sclrs * J3. Vectors nd Geometry Mthemtics SKE: STRN J J3 Vectors J3.1 Vectors nd Sclrs Vectors
More informationNew Expansion and Infinite Series
Interntionl Mthemticl Forum, Vol. 9, 204, no. 22, 06-073 HIKARI Ltd, www.m-hikri.com http://dx.doi.org/0.2988/imf.204.4502 New Expnsion nd Infinite Series Diyun Zhng College of Computer Nnjing University
More informationVectors , (0,0). 5. A vector is commonly denoted by putting an arrow above its symbol, as in the picture above. Here are some 3-dimensional vectors:
Vectors 1-23-2018 I ll look t vectors from n lgeric point of view nd geometric point of view. Algericlly, vector is n ordered list of (usully) rel numers. Here re some 2-dimensionl vectors: (2, 3), ( )
More informationa * a (2,1) 1,1 0,1 1,1 2,1 hkl 1,0 1,0 2,0 O 2,1 0,1 1,1 0,2 1,2 2,2
18 34.3 The Reciprocl Lttice The inverse of the intersections of plne with the unit cell xes is used to find the Miller indices of the plne. The inverse of the d-spcing etween plnes ppers in expressions
More informationProperties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives
Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn
More informationList all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1.
Mth Anlysis CP WS 4.X- Section 4.-4.4 Review Complete ech question without the use of grphing clcultor.. Compre the mening of the words: roots, zeros nd fctors.. Determine whether - is root of 0. Show
More informationu( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph.
nlyzing Dmped Oscilltions Prolem (Medor, exmple 2-18, pp 44-48): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $
More informationAn Alternative Approach to Estimating the Bounds of the Denominators of Egyptian Fractions
Leonrdo Journl of Sciences ISSN 58-0 Issue, Jnury-June 0 p. -0 An Alterntive Approch to Estimting the Bounds of the Denomintors of Egyptin Frctions School of Humn Life Sciences, University of Tsmni, Locked
More informationProbability Distributions for Gradient Directions in Uncertain 3D Scalar Fields
Technicl Report 7.8. Technische Universität München Probbility Distributions for Grdient Directions in Uncertin 3D Sclr Fields Tobis Pfffelmoser, Mihel Mihi, nd Rüdiger Westermnn Computer Grphics nd Visuliztion
More information25 Which of the following summarises the change in wave characteristics on going from infra-red to ultraviolet in the electromagnetic spectrum?
PhysicsndMthsTutor.com 25 Which of the following summrises the chnge in wve chrcteristics on going from infr-red to ultrviolet in the electromgnetic spectrum? 972//M/J/2 frequency speed (in vcuum) decreses
More informationSUPPLEMENTARY INFORMATION
DOI: 1.138/nc2975 GM13 / DNA F-ctin α shrna CLASP1 shrna shrna shrna CLASP1 shrna shrna e Tuulin CLASP1 CLASP1 shrna #32 shrna #33 #55 #58 Tuulin c Tuulin ppmlc E-Cdherin shrna CLASP1 shrna shrna f Golgi
More information( ) Same as above but m = f x = f x - symmetric to y-axis. find where f ( x) Relative: Find where f ( x) x a + lim exists ( lim f exists.
AP Clculus Finl Review Sheet solutions When you see the words This is wht you think of doing Find the zeros Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor Find
More information4.4 Areas, Integrals and Antiderivatives
. res, integrls nd ntiderivtives 333. Ares, Integrls nd Antiderivtives This section explores properties of functions defined s res nd exmines some connections mong res, integrls nd ntiderivtives. In order
More informationNOTICE CONCERNING COPYRIGHT RESTRICTIONS
NOTICE CONCERNING COPYRIGHT RESTRICTIONS This document my contin copyrighted mterils. These mterils hve been mde vilble for use in reserch, teching, nd privte study, but my not be used for ny commercil
More information1.2 What is a vector? (Section 2.2) Two properties (attributes) of a vector are and.
Homework 1. Chpters 2. Bsis independent vectors nd their properties Show work except for fill-in-lnks-prolems (print.pdf from www.motiongenesis.com Textooks Resources). 1.1 Solving prolems wht engineers
More informationCh AP Problems
Ch. 7.-7. AP Prolems. Willy nd his friends decided to rce ech other one fternoon. Willy volunteered to rce first. His position is descried y the function f(t). Joe, his friend from school, rced ginst him,
More information1B40 Practical Skills
B40 Prcticl Skills Comining uncertinties from severl quntities error propgtion We usully encounter situtions where the result of n experiment is given in terms of two (or more) quntities. We then need
More informationCoimisiún na Scrúduithe Stáit State Examinations Commission
M 30 Coimisiún n Scrúduithe Stáit Stte Exmintions Commission LEAVING CERTIFICATE EXAMINATION, 005 MATHEMATICS HIGHER LEVEL PAPER ( 300 mrks ) MONDAY, 3 JUNE MORNING, 9:30 to :00 Attempt FIVE questions
More informationSUMMER KNOWHOW STUDY AND LEARNING CENTRE
SUMMER KNOWHOW STUDY AND LEARNING CENTRE Indices & Logrithms 2 Contents Indices.2 Frctionl Indices.4 Logrithms 6 Exponentil equtions. Simplifying Surds 13 Opertions on Surds..16 Scientific Nottion..18
More informationContinuous Random Variables Class 5, Jeremy Orloff and Jonathan Bloom
Lerning Gols Continuous Rndom Vriles Clss 5, 8.05 Jeremy Orloff nd Jonthn Bloom. Know the definition of continuous rndom vrile. 2. Know the definition of the proility density function (pdf) nd cumultive
More informationROB EBY Blinn College Mathematics Department
ROB EBY Blinn College Mthemtics Deprtment Mthemtics Deprtment 5.1, 5.2 Are, Definite Integrls MATH 2413 Rob Eby-Fll 26 Weknowthtwhengiventhedistncefunction, wecnfindthevelocitytnypointbyfindingthederivtiveorinstntneous
More informationHamiltonian Cycle in Complete Multipartite Graphs
Annls of Pure nd Applied Mthemtics Vol 13, No 2, 2017, 223-228 ISSN: 2279-087X (P), 2279-0888(online) Pulished on 18 April 2017 wwwreserchmthsciorg DOI: http://dxdoiorg/1022457/pmv13n28 Annls of Hmiltonin
More informationHomework Assignment 6 Solution Set
Homework Assignment 6 Solution Set PHYCS 440 Mrch, 004 Prolem (Griffiths 4.6 One wy to find the energy is to find the E nd D fields everywhere nd then integrte the energy density for those fields. We know
More informationModel Reduction of Finite State Machines by Contraction
Model Reduction of Finite Stte Mchines y Contrction Alessndro Giu Dip. di Ingegneri Elettric ed Elettronic, Università di Cgliri, Pizz d Armi, 09123 Cgliri, Itly Phone: +39-070-675-5892 Fx: +39-070-675-5900
More informationA REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H. Thomas Shores Department of Mathematics University of Nebraska Spring 2007
A REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H Thoms Shores Deprtment of Mthemtics University of Nebrsk Spring 2007 Contents Rtes of Chnge nd Derivtives 1 Dierentils 4 Are nd Integrls 5 Multivrite Clculus
More informationEvaluating Definite Integrals. There are a few properties that you should remember in order to assist you in evaluating definite integrals.
Evluting Definite Integrls There re few properties tht you should rememer in order to ssist you in evluting definite integrls. f x dx= ; where k is ny rel constnt k f x dx= k f x dx ± = ± f x g x dx f
More informationChapter 9 Definite Integrals
Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished
More informationChapter 5 Bending Moments and Shear Force Diagrams for Beams
Chpter 5 ending Moments nd Sher Force Digrms for ems n ddition to illy loded brs/rods (e.g. truss) nd torsionl shfts, the structurl members my eperience some lods perpendiculr to the is of the bem nd will
More informationFarey Fractions. Rickard Fernström. U.U.D.M. Project Report 2017:24. Department of Mathematics Uppsala University
U.U.D.M. Project Report 07:4 Frey Frctions Rickrd Fernström Exmensrete i mtemtik, 5 hp Hledre: Andres Strömergsson Exmintor: Jörgen Östensson Juni 07 Deprtment of Mthemtics Uppsl University Frey Frctions
More informationCOMPTON SCATTER AND X-RAY CROSSTALK AND THE USE OF VERY THIN INTER-CRYSTAL SEPTA IN HIGH RESOLUTION PET DETECTORS
COMPTON SCATTER AND X-RAY CROSSTALK AND THE USE OF VERY THIN INTER-CRYSTAL SEPTA IN HIGH RESOLUTION PET DETECTORS C.S. Levin, M.P. Torni, S.R. Cherry, L.R. McDonld, E.J. Hoffmn Div. of Nucler Medicine
More informationNUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL
NUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL V. Bkhnov, O. Kryvook, B. Dormn Ukrinin Hydrometeorologicl Reserch Institute, Avenue of Science 37,
More informationHow do we solve these things, especially when they get complicated? How do we know when a system has a solution, and when is it unique?
XII. LINEAR ALGEBRA: SOLVING SYSTEMS OF EQUATIONS Tody we re going to tlk out solving systems of liner equtions. These re prolems tht give couple of equtions with couple of unknowns, like: 6= x + x 7=
More informationUnit #9 : Definite Integral Properties; Fundamental Theorem of Calculus
Unit #9 : Definite Integrl Properties; Fundmentl Theorem of Clculus Gols: Identify properties of definite integrls Define odd nd even functions, nd reltionship to integrl vlues Introduce the Fundmentl
More information