Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary

We use invariance theory to determine the coefficient $a_{m+1,m}^{d+\delta}$ in the supertrace for the twisted de Rham complex with absolute boundary conditions.Comment: 19 pages, LaTeX, Theorem 1.2 correcte

Spectral asymmetry and Riemannian geometry. III

In Parts I and II of this paper ((4),(5)) we studied the 'spectral asymmetry' of certain elliptic self-adjoint operators arising in Riemannian geometry. More precisely, for any elliptic self-adjoint operator A on a compact manifold we defined ηA(s)=Σλ+0signλ|λ|-8, where λ runs over the eigenvalues of A. For the particular operators of interest in Riemannian geometry we showed that ηA(s) had an analytic continuation to the whole complex s-plane, with simple poles, and that s=0 was not a pole. The real number ηA(0), which is a measure of 'spectral asymmetry', was studied in detail particularly in relation to representations of the fundamental group

Anaesthetic management in a case of large plunging ranula with difficult airway: A case report

AbstractPlunging ranula is a mucous retention cyst found on the floor of mouth which arises from the submandibular and sublingual salivary glands extending to lateral aspect of neck, which may often cause potential airway obstruction leading to difficulty in airway management. A forty year old female patient was admitted to our hospital with large, painless swelling in the floor of mouth extending to the lateral part of body of mandible and neck. This intraoral swelling distorted the normal airway anatomy thus making airway management difficult as the patient was planned for excision of swelling under general anaesthesia. So we present a case of successful management of a difficult airway by using awake fibre optic intubation in a patient posted for excision of a large plunging ranula under general anaesthesia

Electromagnetic Casimir piston in higher dimensional spacetimes

We consider the Casimir effect of the electromagnetic field in a higher dimensional spacetime of the form $M\times \mathcal{N}$, where $M$ is the 4-dimensional Minkowski spacetime and $\mathcal{N}$ is an $n$-dimensional compact manifold. The Casimir force acting on a planar piston that can move freely inside a closed cylinder with the same cross section is investigated. Different combinations of perfectly conducting boundary conditions and infinitely permeable boundary conditions are imposed on the cylinder and the piston. It is verified that if the piston and the cylinder have the same boundary conditions, the piston is always going to be pulled towards the closer end of the cylinder. However, if the piston and the cylinder have different boundary conditions, the piston is always going to be pushed to the middle of the cylinder. By taking the limit where one end of the cylinder tends to infinity, one obtains the Casimir force acting between two parallel plates inside an infinitely long cylinder. The asymptotic behavior of this Casimir force in the high temperature regime and the low temperature regime are investigated for the case where the cross section of the cylinder in $M$ is large. It is found that if the separation between the plates is much smaller than the size of $\mathcal{N}$, the leading term of the Casimir force is the same as the Casimir force on a pair of large parallel plates in the $(4+n)$-dimensional Minkowski spacetime. However, if the size of $\mathcal{N}$ is much smaller than the separation between the plates, the leading term of the Casimir force is $1+h/2$ times the Casimir force on a pair of large parallel plates in the 4-dimensional Minkowski spacetime, where $h$ is the first Betti number of $\mathcal{N}$. In the limit the manifold $\mathcal{N}$ vanishes, one does not obtain the Casimir force in the 4-dimensional Minkowski spacetime if $h$ is nonzero.Comment: 22 pages, 4 figure

ANALISA PENENTUAN FAKTOR DOMINAN KEGAGALAN DESAIN KOMPONEN SEAT ASS’Y OIL FILTER DENGAN METODE FMEA (FAILUR MODE AND EFFECTS ANALYSIS) DI PT. SELAMAT SEMPURNA TBK

Filter oli terdiri dari berbagai macam komponen dan beberapa diantaranya adalah seat, elco  dan  seat  assy.  Kadangkalanya komponen-komponen tersebt  mengalami kegagalan desain. Dari bermacam-macam bentuk kegagalan yang berasal dari klaim pelanggan yang terangkum dalam Rekaman Klaim Pelanggan, ada yang memerlukan perhatian serius. Yaitu potensi kegagalan yang dominan. Untu mengetahui klaim yang dominan terhadap (potensial failure), dilakukan analisa terhadap bermacam-macam kegagalan yang ada.Kegagalan- kegagalam tersebut yang pada awalnya berbentuk kasus, ditransformasikan kedalam bentuk angka/nilai, yang  mana  nilai-nilai tersebut adalah sebuah standar  yang  telah  ditetapkan didalam Referensi Manual Potential Failure Mode and Efects Analysis (Chrysler Corporation, Ford Motor Company, General Motor Corporation). Dari nilai-nilai yang telah ditetapkan, yaitu nilai Detection serta nilai severity yang diperoleh dari brainstorming serta pengalaman team, serta nilai occurance yang diperoleh dari penghitungan nilai PPM yang kesemua Potensi kegagalan tersebut ditransformasikan kedalam Possible failure Rates, didapat nilai RPN. Nilai RPN itu adalah hasil perkalian dari ketiga unsur diatas. RPN yang telah dibuat listnya menggambarkan bahwa RPN dengan nilai 192, Potensial Failure Mode; Tinggi titik emboss tidak seragam, menduduki peringkat tertinggi. Meskipun demikian, Potential Failure yang lainpun juga perlu ditindak lanjuti sesuai hasil analisanya, yang mana perbaikan dilakukan dengan skala prioritas, dari RPN tertinggi ke RPN terendah.

Spectral geometry of etaeta-Einstein Sasakian manifolds

We extend a result of Patodi for closed Riemannian manifolds to the context of closed contact manifolds by showing the condition that a manifold is an $\eta$-Einstein Sasakian manifold is spectrally determined. We also prove that the condition that a Sasakian space form has constant $\phi$-sectional curvature $c$ is spectrally determined.Comment: 8 page

COMPARISON OF PREDICTORS OF DIFFICULT INTUBATION

Context: Unanticipated difficult laryngoscopy and tracheal intubation always remain a primary concern for an anaesthesiologist as the failure to maintain a patent airway during induction of anaesthesia may lead to anaesthesia related morbidity and mortality. Aims: The aim of our study was to predict difficult intubation and to identify best predictor(s) among them and also to compare the sensitivity, specificity, positive predictive value, negative predictive value and accuracy of various airway parameters.Airway parameters taken in our study were Modified Mallampati Classification (MMT), Thyromental Distance (TMD), Sternomental Distance (SMD), Interincisor Gap (IIG), Upper Lip Bite Test (ULBT), Degree of Neck Extension (DNE), Anterior Subluxation of Mandible (ASM) and Protruding Teeth (PT). Methods and Material: 350 patients of ASA Grade 1 and 2 scheduled for various elective surgeries under general anaesthesia were included in our study and were assessed preoperatively for different airway parameters. Intraoperatively all patients were classified as difficult and easy intubation group according to Cormack and Lehane laryngoscopic view. Clinical data of each test was collected, tabulated and analyzed to obtain the sensitivity, specificity, positive predictive value and negative predictive value. Results: The upper lip bite test had the highest sensitivity (80%); Anterior subluxation of mandible had highest specificity (99.06%) and both of above were most accurate tests. The overall incidence of difficult intubation was 8.57%. Conclusion: Upper lip bite test was the best predictor of difficult intubation and it should be included as a routine test along with Modified mallampati test in preanaesthetic evaluation

COMPARISON OF PREDICTORS OF DIFFICULT INTUBATION

Context: Unanticipated difficult laryngoscopy and tracheal intubation always remain a primary concern for an anaesthesiologist as the failure to maintain a patent airway during induction of anaesthesia may lead to anaesthesia related morbidity and mortality. Aims: The aim of our study was to predict difficult intubation and to identify best predictor(s) among them and also to compare the sensitivity, specificity, positive predictive value, negative predictive value and accuracy of various airway parameters.Airway parameters taken in our study were Modified Mallampati Classification (MMT), Thyromental Distance (TMD), Sternomental Distance (SMD), Interincisor Gap (IIG), Upper Lip Bite Test (ULBT), Degree of Neck Extension (DNE), Anterior Subluxation of Mandible (ASM) and Protruding Teeth (PT). Methods and Material: 350 patients of ASA Grade 1 and 2 scheduled for various elective surgeries under general anaesthesia were included in our study and were assessed preoperatively for different airway parameters. Intraoperatively all patients were classified as difficult and easy intubation group according to Cormack and Lehane laryngoscopic view. Clinical data of each test was collected, tabulated and analyzed to obtain the sensitivity, specificity, positive predictive value and negative predictive value. Results: The upper lip bite test had the highest sensitivity (80%); Anterior subluxation of mandible had highest specificity (99.06%) and both of above were most accurate tests. The overall incidence of difficult intubation was 8.57%. Conclusion: Upper lip bite test was the best predictor of difficult intubation and it should be included as a routine test along with Modified mallampati test in preanaesthetic evaluation