... Annals ** of ** Mathematics, 160 (2004), 523–572 ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** ** III; ** ** Planar ** ** domains ** By Tobias H Colding and William P Minicozzi II* Introduction ... from ** the ** boundary Here small means contained ** in ** ** a ** small ball 527 ** PLANAR ** ** DOMAINS ** ** A ** “pair ** of ** pants” **(in ** bold) Graphical annuli (dotted) separate ** the ** “pairs ** of ** pants” Figure 4: Decomposing ** the ** Riemann ... next two theorems are crucial for what we call **the ** pairs ** of ** pants decomposition” ** of ** ** embedded ** ** minimal ** ** planar ** ** domains,** recall ** the ** following prime examples ** of ** such ** domains:** ** Minimal ** graphs (over...

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... PsativumA SoleraceaA 197 Chlamy 200 Synechocystis 198 Synechococcus 199 R R R R R R R R R R R R R R R R R R R R ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A R R R R R R R R R R ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** A ** ... concentrations indicated on each curve ** of ** K12 **8A ** mutant GAPDH, K128E mutant GAPDH, R19 **7A ** mutant GAPDH, and R197E mutant GAPDH ** In ** all plots, ** the ** arrow on ** the ** left indicates ** the ** beginning ** of ** ** the ** association ... association phase; ** the ** beginning ** of ** ** the ** dissociation phase is marked by ** the ** arrow on ** the ** right ** The ** experimental data were analyzed using global tting assuming ** a ** : interaction with BIAEVALUATION 3.1 Table...

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... Annals ** of ** Mathematics, 160 (2004), 573–615 ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** ** IV; ** ** Locally ** ** simply ** ** connected ** By Tobias H Colding and William P Minicozzi II* Introduction ... ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** 3manifold I; Estimates oﬀ ** the ** axis for disks, Ann ** of ** Math 160 (2004), 27–68; math.AP/0210106 [CM4] ——— , ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ... ** 3-manifold ** III; Planar domains, Ann ** of ** Math 160 (2004), 523–572; math.AP/0210141 [CM6] ——— , ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** V; ** Fixed ** ** genus,** ** in ** preparation...

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... ——— , ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** V; ** Fixed ** ** genus,** ** in ** preparation [CM8] ——— , ** Embedded ** ** minimal ** ** disks,** ** in ** ** Minimal ** ** surfaces ** (MSRI , 2001), Clay Mathematics ... π ** In ** either case ** the ** separation w = π ** A ** multi-valued ** minimal ** graph is ** a ** multi-valued graph ** of ** ** a ** function u satisfying ** the ** ** minimal ** surface equation GRAPHICAL ** OFF ** ** THE ** ** AXIS ** 29 x3 **-axis ** One half ... Annals ** of ** Mathematics, 160 (2004), 27–68 ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** ** I; ** ** Estimates ** oﬀ ** the ** ** axis ** ** for ** ** disks ** By Tobias H Colding and William P Minicozzi...

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... ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** I; ** Estimates ** oﬀ ** the ** ** axis ** ** for ** ** disks,** Ann ** of ** Math 160 (2004), 27–68; math.AP/0210106 [CM4] ——— , ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ... ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** III; Planar domains, Ann ** of ** Math., to appear; math.AP/0210141 [CM5] ——— , ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** IV; Locally ... connected, Ann ** of ** Math., to appear; math.AP/0210119 [CM6] ——— , ** The ** ** space ** ** of ** ** embedded ** ** minimal ** ** surfaces ** ** of ** ﬁxed ** genus ** ** in ** ** a ** ** 3-manifold ** V; ** Fixed ** ** genus,** ** in ** preparation [CM7] ——— , ** Embedded ** ** minimal ** ** disks,** in...

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... evaluation ** of ** ** the ** actual situation ** of ** ** the ** ** use ** ** of ** ** capital ** ** Bac ** ** Trung ** ** Nam ** company, find ** the ** cause ** of ** limiting ** the ** ** capital ** efficiency ** of ** ** the ** company • From there, we provide solutions that mainly contribute ... Business’s ** capital ** $ ** efficient ** using ** of ** ** capital ** Capital ** in ** production and business activities ** of ** enterprises • ** The ** concept ** of ** ** capital ** ** in ** ** the ** enterprise • ** The ** concept ** efficient ** ** use ** ** of ** ** capital ** ** in ** ** the ** ... practical meaning ** of ** ** the ** thesis • ** The ** system ** of ** ** the ** basic theory ** of ** ** improving ** ** capital ** efficiency ** of ** ** the ** company • Analyze, compare, evaluate ** the ** actual situation on ** the ** ** capital ** efficiency ** of ** ** the ** company,...

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... performance ** of ** large dam projects, including those funded by ** the ** ** World ** ** Bank ** ** Role ** ** of ** ** the ** ** United ** ** States ** ** In ** Achieving ** Reform ** ** The ** ** United ** ** States ** should take a lead ** in ** pushing ** the ** ** World ** ** Bank ** to incorporate ... Removing this ban would potentially open ** the ** floodgates for ** World ** ** Bank ** financing ** of ** large-scale unsustainable logging ** operations ** ** in ** some ** of ** ** the ** ** world** s most biodiversity-rich forests Given ** the ** ** Bank** s ... process ** The ** U.S government should also make adoption ** of ** ** the ** above recommendations a priority ** Role ** ** of ** ** the ** ** United ** ** States ** ** in ** Achieving ** Reform ** As ** the ** largest voting member ** of ** ** the ** ** World ** ** Bank ** and ** the ** largest...

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... templates ** and ** auditing software • ** Quality ** ** Control ** ** in ** ** the ** ** Audit ** ** Process ** – Integrity, due care, professional behaviour – Clear responsibilities (who will ** the ** work ** and ** who will review) – Review ** and ** consultation ... review (before issuing an auditor’s report) Formation ** and ** training of ** quality ** assurance team ** and ** starting that ** process ** Certification of auditors (minimum requirement on ** audit ** manager ** and ** head of department ... our audits to international auditing standards ** and ** best practise of others SAI-s We have reviewed our ** audit ** ** process ** During ** the ** review we listed our ** process ** steps ** and ** necessary document templates...

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... Adaptation ** and ** experts 1% Patients ** and ** adaptation ** and ** literature (unsystematic search) 1% Patients ** and ** experts ** and ** adaptation 1% Significant others ** and ** literature (unsystematic search) ** and ** adaptation ... ** A ** ** comprehensive ** ** systematic ** ** review ** ** of ** ** the ** ** development ** ** process ** ** of ** ** 104 ** ** patient-reported ** ** outcomes ** ** **** (PROs) ** ** for ** ** physical ** ** activity ** ** in ** ** chronically ** ** ill ** ** and ** ** elderly ** people Anja Frei1,2§, Kate Williams3, ... Patients ** and ** experts 3.8% Experts only 2.9% Experts ** and ** adaptation ** and ** literature (unsystematic search) 1.9% Patients ** and ** adaptation 1.9% Adaptation ** and ** literature **(systematic ** search) 1% Adaptation...

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... days ** and ** seminars are ** the ** best way ** of ** communicating new ** knowledge ** ** to ** farmers with 46.1% farmers nominating these methods ** in ** ** the ** MD ** and ** 54.9 % ** in ** ** the ** CC Only 11.2% farmers ** in ** ** the ** MD ** and ** 8.9% ** in ** ** the ** ... ** the ** research so ** the ** input ** of ** Australian staff ** in ** ** the ** actual training program ** of ** TOT was minimal ** and ** did not warrant inclusion ** in ** ** the ** cost ** of ** ** the ** training 10 ** GAP ** Workshop ** in ** Binh Thuan (21-22/7/2008) ... 1.60% ** of ** ** the ** estimated average net profit per hectare Based on these estimates ** the ** cost ** of ** ** FFS ** would be offset ** in ** just one season due ** to ** ** the ** reduction ** of ** inputs ** and ** increased yield ** The ** cost ** of ** FFS...

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... ** for ** some ** functional ** ** equations ** ** in ** ** a ** ** single ** variable We prove ** the ** ** generalized ** Ulam-Hyers ** stability ** ** of ** ** the ** ** single ** variable equation w◦f ◦η f h 1.8 As an application ** of ** our result ** for ** 1.8 , ** the ** ** stability ** ... ** the ** ** stability ** ** of ** monomial ** functional ** ** equations,** ” ** Fixed ** ** Point ** ** a ** Theory, vol 8, no 2, pp 201–218, 2007 25 V Radu, **The ** ﬁxed ** point ** alternative and ** the ** ** stability ** ** of ** ** functional ** ** equations,** ” ** Fixed ** ** Point ** ... transformations,” Bulletin ** of ** ** the ** American Mathematical Society, vol 57, pp 223–237, 1951 Z Gajda, “On ** stability ** ** of ** additive mappings,” International Journal ** of ** Mathematics and Mathematical Sciences, vol...

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... disclosing both intended ** and ** unanticipated ** genetic ** findings These ** and ** similar issues must be anticipated ** and ** adequately addressed ** in ** ** the ** ** informed ** ** consent ** ** process ** ** and ** documents ** The ** ClinSeq ** consent ** document ... relevant ** in ** ** genomic ** studies ** of ** unrelated individuals Other questions that influence approaches to ** the ** ** process ** ** and ** content ** of ** ** informed ** ** consent ** arise ** in ** studies exploring ** genetic ** information obtained ... ** the ** implications ** of ** joining a ** genomic ** study? These are important issues to consider ** in ** ** tailoring ** ** informed ** ** consent ** processes for ** genetic ** ** and ** ** genomic ** research For example, ** in ** our podoconiosis project...

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... remaining focused on ** the ** integrity ** and ** ** the ** excellence ** of ** ** the ** ** process,** neutral to ** the ** ** donation ** outcome ** and ** respecting ** the ** legitimacy ** of ** ** the ** family decision ** The ** discussion might therefore begin ... ** and ** being accountable for all aspects ** of ** ** the ** ** process ** — including ** the ** determination ** of ** brain death, identification ** of ** ** the ** possibility ** of ** ** organ ** ** donation,** providing physiological support ** of ** ** the ** potential ... Surgeons, intensivists ** and ** ** the ** covenant ** of ** ** care ** — administrative models ** and ** values affecting ** care ** at ** the ** end ** of ** life — updated Crit ** Care ** Med 2003, 31:1551-1559 66 Levy MM End **-of-** life ** care ** ** in ** ** the ** intensive...

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... ** using ** this method, participants ** of ** ** the ** ** virtual ** ** meeting ** ** room ** can customize 41 Adding ** the ** hair and eyelashes models ** the ** ** head ** ** of ** ** the ** ** avatar ** by themselves They can choose a hair model they want and ... face ** of ** ** avatar ** They can benefit from verbal and non-verbal communications and have a new way to find ** the ** points ** of ** interest ** in ** ** the ** ** meeting ** One important thing is that ** the ** face can help ** the ** ** avatar ** ... ** of ** ** the ** participant ** The ** important thing is ** the ** ** avatar ** ** of ** each participant must bring ** the ** belief to other participants ** The ** ** avatar ** will be believable if it can simulate ** the ** appearance, express the...

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