24 research outputs found
The Finite Spectrum of Sturm-Liouville Operator With Ξ΄-Interactions
The goal of this paper is to study the finite spectrum of Sturm-Liouville operator with Ξ΄- interactions. Such an equation gives us a Sturm-Liouville boundary value problem which has n transmission conditions. We show that for any positive numbers mj (j = 0; 1; :::; n) that are related to number of partition of the intervals between two successive interaction points, we can construct a Sturm-Liouville equations with Ξ΄-interactions, which have exactly d eigenvalues. Where d is the sum of mjβs
Event building in FairRoot
Texture development and grain refinement of interstitial-free (IF) steel as a function of ideal simple shear or torsion was undertaken for up to 8 pressings, Route BC. Dominant texture components evolved after a single pass and remained correspondent for all subsequent passes. End-cycle (4 and 8 pass) orientation distribution functions (ODFs) showed an increased spread of contour levels and the re-appearance of texture components similar to the 0-pass condition. Rotation of torsion components away from their ideal pole figure (PF) orientations increased at mid-cycle and decreased to almost equivalent levels after end-cycle passes. This is attributed to the principle slip directions of BCC structures aligning with the shear direction
ΠΠΏΠΈΠ΄Π΅ΠΌΠΈΠΎΠ»ΠΎΠ³ΠΈΡ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΡ Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΉ ΠΎΡΡ ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΠΈ ΡΠ°Π·Π²Π΅ΡΠ²Π»Π΅Π½ΠΈΡ ΠΈ ΠΈΡ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠ°Ρ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΡ
Purpose. Until the mid-20th century they could be discovered only during autopsy, it means after death. With the introduction of coronary angiography it become possible to find them in a living person. Later on, new modalities such as computed tomography (CT) and magnetic resonance imaging (MRI) enhanced futher our abilities. It is very important to discover coronary anomalies in a living person, because some of them could lead to sudden cardiac death (SCD). In fact, coronary artery anomalies are the second main cause of the SCD in young athletes. Another importance is driven by the fact, that some of them could lead to lifethreatening complications during cardiac surgery when unknown before the operation.Methods. We prospectively reviewed all coronary angiography films from 2011 to 2016 in our center. Coronary anomalies were reviewed and classified by two independent experienced operators. Patients with congenital heart disease and coronary fistulas were excluded.Results. Out of 5055 patients 148 (2.9%) had coronary artery anomalies of origin and distribution. Those were 120 men (81.1%) and 28 women (18.9%) with an age range between 29 to 88 years. The three most common anomalies were myocardial bridge (48.7%), separate origin of the conus branch (13.5%) and separate origin of the LAD and LCX (8.1%).Conclusion. In our study we found more or less the same types and incidence rates of coronary artery anomalies as in the world literature. We had apparently higher rates of myocardial bridges, compared to average number on angiography studies, but very close to authopsy study rates.Π¦Π΅Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ. ΠΠΎ ΡΠ΅ΡΠ΅Π΄ΠΈΠ½Ρ XX Π²Π΅ΠΊΠ° Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΈ ΠΎΠ±Π½Π°ΡΡΠΆΠΈΠ²Π°Π»ΠΈΡΡ ΡΠΎΠ»ΡΠΊΠΎ Π²ΠΎ Π²ΡΠ΅ΠΌΡ Π°ΡΡΠΎΠΏΡΠΈΠΈ, Ρ.Π΅. ΠΏΠΎΡΠ»Π΅ ΡΠΌΠ΅ΡΡΠΈ Π±ΠΎΠ»ΡΠ½ΠΎΠ³ΠΎ. ΠΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠ° Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΉ Ρ ΠΆΠΈΠ²ΠΎΠ³ΠΎ ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ° ΡΡΠ°Π»Π° Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΠΉ Π±Π»Π°Π³ΠΎΠ΄Π°ΡΡ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΠΎΠΉ Π°Π½Π³ΠΈΠΎΠ³ΡΠ°ΡΠΈΠΈ. ΠΠΎΠ·ΠΆΠ΅ ΠΠ’ ΠΈ ΠΠ Π’ ΡΠΎΠ²Π΅ΡΡΠ΅Π½ΡΡΠ²ΠΎΠ²Π°Π»ΠΈ ΡΡΠΈ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ. ΠΡΠ΅Π½Ρ Π²Π°ΠΆΠ½ΠΎ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΡΠΎΠ²Π°ΡΡ Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΈ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΡ
ΡΠΎΡΡΠ΄ΠΎΠ² Ρ ΠΆΠΈΠ²ΠΎΠ³ΠΎ ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ°, ΡΠ°ΠΊ ΠΊΠ°ΠΊ Π½Π΅ΠΊΠΎΡΠΎΡΡΠ΅ ΠΈΠ· Π½ΠΈΡ
ΠΌΠΎΠ³ΡΡ ΡΠΏΡΠΎΠ²ΠΎΡΠΈΡΠΎΠ²Π°ΡΡ Π²Π½Π΅Π·Π°ΠΏΠ½ΡΡ ΡΠ΅ΡΠ΄Π΅ΡΠ½ΡΡ ΡΠΌΠ΅ΡΡΡ. Π£ ΠΌΠΎΠ»ΠΎΠ΄ΡΡ
Π°ΡΠ»Π΅ΡΠΎΠ² Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΈ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΡ
ΡΠΎΡΡΠ΄ΠΎΠ² β Π²ΡΠΎΡΠ°Ρ ΠΎΡΠ½ΠΎΠ²Π½Π°Ρ ΠΏΡΠΈΡΠΈΠ½Π°, ΠΏΡΠΈΠ²ΠΎΠ΄ΡΡΠ°Ρ ΠΊ Π²Π½Π΅Π·Π°ΠΏΠ½ΠΎΠΉ ΡΠ΅ΡΠ΄Π΅ΡΠ½ΠΎΠΉ ΡΠΌΠ΅ΡΡΠΈ. Π‘ Π΄ΡΡΠ³ΠΎΠΉ ΡΡΠΎΡΠΎΠ½Ρ, ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ° Π°ΠΊΡΡΠ°Π»ΡΠ½Π° ΠΈ Π΄Π»Ρ ΠΊΠ°ΡΠ΄ΠΈΠΎΡ
ΠΈΡΡΡΠ³ΠΈΠΈ, ΡΠ°ΠΊ ΠΊΠ°ΠΊ Π΄ΠΎΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΎΠ½Π½Π°Ρ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠ° Π½Π΅ΠΊΠΎΡΠΎΡΡΡ
Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΉ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΡ
Π°ΡΡΠ΅ΡΠΈΠΉ ΠΌΠΎΠΆΠ΅Ρ ΠΏΡΠ΅Π΄ΠΎΡΠ²ΡΠ°ΡΠΈΡΡ Π½Π΅ΠΆΠ΅Π»Π°ΡΠ΅Π»ΡΠ½ΡΠ΅ ΡΠ³ΡΠΎΠΆΠ°ΡΡΠΈΠ΅ ΠΆΠΈΠ·Π½ΠΈ ΠΎΡΠ»ΠΎΠΆΠ½Π΅Π½ΠΈΡ Π²ΠΎ Π²ΡΠ΅ΠΌΡ ΠΊΠ°ΡΠ΄ΠΈΠΎΡ
ΠΈΡΡΡΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΉ.ΠΠ°ΡΠ΅ΡΠΈΠ°Π» ΠΈ ΠΌΠ΅ΡΠΎΠ΄Ρ. ΠΡ ΠΏΡΠΎΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΠΎ ΠΏΡΠΎΡΠΌΠΎΡΡΠ΅Π»ΠΈ Π²ΡΠ΅ Π°Π½Π³ΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠΈΠ»ΡΠΌΡ Π½Π°ΡΠ΅Π³ΠΎ ΡΠ΅Π½ΡΡΠ° Ρ 2011 ΠΏΠΎ 2016 Π³. ΠΠΎΡΠΎΠ½Π°ΡΠ½ΡΠ΅ Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΈ Π±ΡΠ»ΠΈ Π²ΡΡΠ²Π»Π΅Π½Ρ ΠΈ ΠΊΠ»Π°ΡΡΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Ρ Π΄Π²ΡΠΌΡ Π½Π΅Π·Π°Π²ΠΈΡΠΈΠΌΡΠΌΠΈ ΠΎΠΏΡΡΠ½ΡΠΌΠΈ ΡΠΏΠ΅ΡΠΈΠ°Π»ΠΈΡΡΠ°ΠΌΠΈ. ΠΠ°ΡΠΈΠ΅Π½ΡΡ Ρ Π²ΡΠΎΠΆΠ΄Π΅Π½Π½ΡΠΌΠΈ Π°Π½ΠΎΠΌΠ°Π»ΠΈΡΠΌΠΈ ΡΠ΅ΡΠ΄ΡΠ° ΠΈ Ρ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΠΌΠΈ ΡΠΈΡΡΡΠ»Π°ΠΌΠΈ Π±ΡΠ»ΠΈ ΠΈΡΠΊΠ»ΡΡΠ΅Π½Ρ ΠΈΠ· ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ.Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΠ· 5055 ΠΎΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Π½ΡΡ
ΠΏΠ°ΡΠΈΠ΅Π½ΡΠΎΠ² 148 (2,9%) ΠΈΠΌΠ΅Π»ΠΈ Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΈ ΠΎΡΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΠΈ ΡΠ°Π·Π²Π΅ΡΠ²Π»Π΅Π½ΠΈΡ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΡ
Π°ΡΡΠ΅ΡΠΈΠΉ. ΠΠ· Π½ΠΈΡ
Π±ΡΠ»ΠΎ 120 (81,1%) ΠΌΡΠΆΡΠΈΠ½ ΠΈ 28 (18,9%) ΠΆΠ΅Π½ΡΠΈΠ½ Π² Π²ΠΎΠ·ΡΠ°ΡΡΠ΅ ΠΎΡ 29 Π΄ΠΎ 88 Π»Π΅Ρ. Π’ΡΠ΅ΠΌΡ ΡΠ°ΠΌΡΠΌΠΈ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½Π½ΡΠΌΠΈ Π°Π½ΠΎΠΌΠ°Π»ΠΈΡΠΌΠΈ ΠΎΠΊΠ°Π·Π°Π»ΠΈΡΡ ΠΌΡΡΠ΅ΡΠ½ΡΠ΅ ΠΌΠΎΡΡΠΈΠΊΠΈ (48,7%), ΠΎΡΠ΄Π΅Π»ΡΠ½ΠΎΠ΅ ΠΎΡΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΠ΅ ΠΊΠΎΠ½ΡΡΠ½ΠΎΠΉ Π²Π΅ΡΠ²ΠΈ (13,5%) ΠΈ ΠΎΡΠ΄Π΅Π»ΡΠ½ΠΎΠ΅ ΠΎΡΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΠ΅ ΠΏΠ΅ΡΠ΅Π΄Π½Π΅ΠΉ ΠΌΠ΅ΠΆΠΆΠ΅Π»ΡΠ΄ΠΎΡΠΊΠΎΠ²ΠΎΠΉ Π²Π΅ΡΠ²ΠΈ ΠΈ ΠΎΠ³ΠΈΠ±Π°ΡΡΠ΅ΠΉ Π²Π΅ΡΠ²ΠΈ (8,1%).ΠΠ°ΠΊΠ»ΡΡΠ΅Π½ΠΈΠ΅. Π Π½Π°ΡΠ΅ΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ ΠΌΡ Π½Π°ΡΠ»ΠΈ Π±ΠΎΠ»Π΅Π΅ ΠΈΠ»ΠΈ ΠΌΠ΅Π½Π΅Π΅ ΡΠ΅ ΠΆΠ΅ Π²ΠΈΠ΄Ρ ΠΈ ΡΠ°ΡΡΠΎΡΡ Π²ΡΡΡΠ΅ΡΠ°Π΅ΠΌΠΎΡΡΠΈ ΠΊΠΎΡΠΎΠ½Π°ΡΠ½ΡΡ
Π°Π½ΠΎΠΌΠ°Π»ΠΈΠΉ, ΠΊΠ°ΠΊ ΠΈ Π² ΠΌΠΈΡΠΎΠ²ΠΎΠΉ Π»ΠΈΡΠ΅ΡΠ°ΡΠ΅. ΠΠΎ Π² ΡΠΎ ΠΆΠ΅ Π²ΡΠ΅ΠΌΡ ΠΌΡ ΠΏΠΎΠ»ΡΡΠΈΠ»ΠΈ Π±ΠΎΠ»Π΅Π΅ Π²ΡΡΠΎΠΊΠΈΠΉ ΡΡΠΎΠ²Π΅Π½Ρ ΠΌΡΡΠ΅ΡΠ½ΡΡ
ΠΌΠΎΡΡΠΈΠΊΠΎΠ² ΠΏΠΎ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ Ρ ΠΎΡΡΠ°Π»ΡΠ½ΡΠΌΠΈ Π°Π½Π³ΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡΠΌΠΈ, ΡΡΠΎ ΠΎΡΠ΅Π½Ρ Π±Π»ΠΈΠ·ΠΊΠΎ ΠΊ ΡΠΈΡΡΠ°ΠΌ Ρ Π°ΡΡΠΎΠΏΡΠΈΠΉ