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"[ABSTRAKPrediksi dari posisi proton dan neutron dripline dipelajari dalam model ModiedRelativistic Mean Field (MRMF) menggunakan tujuh buah variasi parameter set.Posisi proton dan neutron dripline diprediksi dengan menggunakan energi separasidan energi partikel tunggal. Dalam model MRMF ini, dapat dilihat pengaruhkopling isovektor-isoskalar, tensor dan electromagnetic exchange terhadap prediksiproton dan neutron dripline. Hasil perhitungan menunjukkan bahwa prediksi protondripline pada isoton N = 28 tidak dipengaruhi oleh ketiga faktor tersebut. Selainitu, proton dripline pada isoton N = 28 tidak memiliki korelasi yang kuat terhadapsifat bulk inti. Prediksi neutron dripline pada isotop Ca dan isotop Pb dipengaruhioleh ketiga faktor tersebut yang ditandai dengan berbedanya prediksi pada setiapvariasi parameter set. Neutron dripline pada isotop Ca memiliki korelasi yang kuatterhadap skin. Namun, pada isotop Pb tidak terlihat korelasi yang kuat terhadapskin. Pada daerah superheavy, isoton N = 258 memiliki hasil prediksi proton driplineyang dipengaruhi oleh ketiga faktor, terutama tensor dan electromagnetic exchange,serta memiliki korelasi yang kuat terhadap skin, jari-jari muatan, dan ketebalanpermukaan.

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ABSTRACTStudy of prediction of proton and neutron dripline in Modied Relativistic Mean Field(MRMF) model using seven variations of parameter set. The position of protonand neutron dripline predicted use energy separation and energy single particle method.In this MRMF model, can be seen the eects of coupling isovector-isoscalar,tensors, and electromagnetic exchange on prediction of proton and neutron dripline.The result of these calculation show that prediction of proton dripline in isotone N= 28 not inuenced by all these factors. Moreover, proton dripline in isotone N = 28do not have a strong correlation with nucleus bulk properties. Prediction of neutrondripline in isotope Ca and isotope Pb inuenced by all these factors characterizedby dierent predictions on each variations of parameter set. Neutron dripline atisotope Ca have a strong correlation with skin. However, at isotope Pb does notlook strong correlation with skin. In the superheavy region, isotone N = 258 hasthe predicted outcome of protons which is inuenced by all these factors, notablytensors and electromagnetic exchange and having a strong correlation with skin,charge radius, and surface thickness., Study of prediction of proton and neutron dripline in Modied Relativistic Mean Field(MRMF) model using seven variations of parameter set. The position of protonand neutron dripline predicted use energy separation and energy single particle method.In this MRMF model, can be seen the eects of coupling isovector-isoscalar,tensors, and electromagnetic exchange on prediction of proton and neutron dripline.The result of these calculation show that prediction of proton dripline in isotone N= 28 not inuenced by all these factors. Moreover, proton dripline in isotone N = 28do not have a strong correlation with nucleus bulk properties. Prediction of neutrondripline in isotope Ca and isotope Pb inuenced by all these factors characterizedby dierent predictions on each variations of parameter set. Neutron dripline atisotope Ca have a strong correlation with skin. However, at isotope Pb does notlook strong correlation with skin. In the superheavy region, isotone N = 258 hasthe predicted outcome of protons which is inuenced by all these factors, notablytensors and electromagnetic exchange and having a strong correlation with skin,charge radius, and surface thickness.]"

"Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ​"

"This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided."