Application of partition method to vibration problems of plates

The “partition method” or “sub-domain method” consists of expressing the solution of a governing differential equation, partial or ordinary, in terms of functions which satisfy the boundary conditions and setting to zero the error in the differential equation integrated over each of the sub-domains into which the given domain is partitioned. In this paper, the use of this method in eigenvalue problems with particular reference to vibration of plates is investigated. The deflection of the plate is expressed in terms of polynomials satisfying the boundary conditions completely. Setting the integrated error in each of the subdomains to zero results in a set of simultaneous, linear, homogeneous, algebraic equations in the undetermined coefficients of the deflection series. The algebraic eigenvalue problem is then solved for eigenvalues and eigenvectors. Convergence is examined in a few typical cases and is found to be satisfactory. The results obtained are compared with existing results based on other methods and are found to be in very good agreement.

Pidyon HaBen 5 Pieces Coin Set

5 Silver coin set in olive-wood box with certificates. Obverse: 25 Silver Lirot coin. In the lower part big emblem of the State of Israel. Reverse: Five pomegranate flowers round a five-pointed star.

David Ben-Gurion Commemorative Coin Set

3 pieces commemorative coin set in a box. 2 silver coins, 1 gold coin. Obverse: 25 Lirot silver coins, 500 Lirot gold coin. In the center the state emblem of the State of Israel. Reverse: Portrait of David Ben-Gurion.

Complete cytogenetic response and major molecular response as surrogate outcomes for overall survival in first-line treatment of chronic myelogenous leukemia: A case study for technology appraisal on the basis of surrogate outcomes evidence

Objectives In 2012, the National Institute for Health and Care Excellence assessed dasatinib, nilotinib, and standard-dose imatinib as first-line treatment of chronic phase chronic myelogenous leukemia (CML). Licensing of these alternative treatments was based on randomized controlled trials assessing complete cytogenetic response (CCyR) and major molecular response (MMR) at 12 months as primary end points. We use this case study to illustrate the validation of CCyR and MMR as surrogate outcomes for overall survival in CML and how this evidence was used to inform National Institute for Health and Care Excellence’s recommendation on the public funding of these first-line treatments for CML. Methods We undertook a systematic review and meta-analysis to quantify the association between CCyR and MMR at 12 months and overall survival in patients with chronic phase CML. We estimated life expectancy by extrapolating long-term survival from the weighted overall survival stratified according to the achievement of CCyR and MMR. Results Five studies provided data on the observational association between CCyR or MMR and overall survival. Based on the pooled association between CCyR and MMR and overall survival, our modeling showed comparable predicted mean duration of survival (21–23 years) following first-line treatment with imatinib, dasatinib, or nilotinib. Conclusions This case study illustrates the consideration of surrogate outcome evidence in health technology assessment. Although it is often recommended that the acceptance of surrogate outcomes be based on randomized controlled trial data demonstrating an association between the treatment effect on both the surrogate outcome and the final outcome, this case study shows that policymakers may be willing to accept a lower level of evidence (i.e., observational association).

Hanukkah Circulation Coin Set

5 Coin set. 1 Agora; 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel. All of the coins have Hanukkiyot on the obverse side.

Application of partition method to vibration problems of plates

The “partition method” or “sub-domain method” consists of expressing the solution of a governing differential equation, partial or ordinary, in terms of functions which satisfy the boundary conditions and setting to zero the error in the differential equation integrated over each of the sub-domains into which the given domain is partitioned. In this paper, the use of this method in eigenvalue problems with particular reference to vibration of plates is investigated. The deflection of the plate is expressed in terms of polynomials satisfying the boundary conditions completely. Setting the integrated error in each of the subdomains to zero results in a set of simultaneous, linear, homogeneous, algebraic equations in the undetermined coefficients of the deflection series. The algebraic eigenvalue problem is then solved for eigenvalues and eigenvectors. Convergence is examined in a few typical cases and is found to be satisfactory. The results obtained are compared with existing results based on other methods and are found to be in very good agreement.

Uncirculated Coin Set, 40th Anniversary of Israel

5 Coin Set: 1 Agora; 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel. All coins have on the obverse side written 40 Years of Israel. 1 Commemorative coin: Obverse: Menorah inside of number 40. Reverse: Design of a building.

Souvenir from the Lira Period Coin Set

7 coin set. 1 Agora; 5 Agorot; 10 Agorot; 25 Agorot; 1/2 Lira; 1 Lira; 5 Lirot. The motifs are inspired by ancient Hebrew coins which feature the seven species mentioned in the Bible and by vessels from the Temple of Jerusalem.

First Coin Set with 5 New Sheqalim Coin

6 coin set. 1 Agora; 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel; 5 New Sheqel. The motifs are inspired by ancient Hebrew coins and seals with biblical emblems, and by ornaments from the Holy Temple.

Israel's 41st Anniversary Coin Set, Piefort

5 coin set. 1 Agora; 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel. Piefort: coins are thicker.

Israel 39th Anniversary Coin Set, Piefort

5 coin set. 1 Agora; 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel.

Hanukka Israel Coin Set and Official Uncirculated Coin Set

10 coin set. Official Uncirculated coin set (5 coins): 1 Agora; 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel. Hanukka coin set (5 coins): 1 Agora; 5; Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel. All Hanukka coins have on the obverse side Hanukkiyot and word Hanukka.

Hanukka Circulation Coins Set

5 coin set: 5 Agorot; 10 Agorot; 1/2 New Sheqel; 1 New Sheqel; 5 New Sheqalim. All of the coins have on the obverse side Hanukkiyot and word Hanukka.

Israel Official Uncirculated Coins Set

8 coin set. 1 Sheqel; 5 Sheqalim; 10 Sheqalim; 2 times 50 Sheqalim-one with a portrait of David Ben-Gurion on the reverse side, one normal coin; 3 times 100 Sheqalim-one with a portrait of Ze'ev Jabotinsky on the reverse side, one with Hanukkah lamp on the obverse side, one normal plain coin.

Low temperature exposure of root system and inflorescence affected flowering and fruit set in 'Chardonnay' grapevines (Vitis vinifera)

The mechanisms by which low temperature affects flowering and fruit set of grapevines are poorly understood, as is the specific response of the grapevine root system and inflorescence to low temperature effects that reduce fruit set. This study aimed to determine the responses of the root system and inflorescence of the grapevine 'Chardonnay' to low temperature (10 degrees C) during flowering, and considered the possible mechanisms of low temperature effects on those parts. Temperature treatments of 10 degrees C or 20 degrees C were imposed to potted 'Chardonnay' grapevines in a glasshouse for up to two weeks during the early stages of flowering. When the root system alone was exposed to 10 degrees C (with the rest of the plant at 20 degrees C) during flowering, the number of attached berries and percentage fruit set were significantly reduced by 50 % than when the root system alone was exposed to 20 degrees C. Whereas, exposure of the inflorescence alone to 10 degrees C (with the rest of the plant at 20 degrees C) delayed flowering, allowed rachis to grow longer, and increased both the number of attached berries (from 22 to 62 per vine) and fruit set (from 8 % to, 20 %), than when the inflorescence alone was exposed to 20 degrees C. This study will enhance our understanding of the possible mechanisms of low temperature effects on grapevine fruit set and productivity.