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標(biāo)題: Titlebook: Spacetime, Geometry and Gravitation; Pankaj Sharan Textbook 2009 Birkh?user Basel 2009 Christoffel symbol.Friedman equation.Gravity.Kerr s [打印本頁(yè)]

作者: dilate    時(shí)間: 2025-3-21 17:56
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作者: intuition    時(shí)間: 2025-3-21 21:39
General Features of Spacetimes. As the metric is non-degenerate, there can be no zero eigenvalues. This statement is independent of coordinate system chosen. The actual numerical values of eigenvalues of the tensor matrix may vary from one coordinate system to another but the number of eigenvalues of positive sign and of negative sign is the same.
作者: MEN    時(shí)間: 2025-3-22 00:46

作者: 夾死提手勢(shì)    時(shí)間: 2025-3-22 04:38

作者: 變白    時(shí)間: 2025-3-22 08:59
Introductionlopments. According to the theory spacetime is a Riemannian space whose metric .. determines the gravitational field.. The .. governs the gravitational field. In this equation the quantities .., . are functions of the metric .. and its various derivatives and .. on the right-hand side are determined
作者: 胡言亂語(yǔ)    時(shí)間: 2025-3-22 15:39

作者: 維持    時(shí)間: 2025-3-22 18:41
Elementary Differential Geometryw chapters we develop the necessary background with emphasis on tools necessary for a physicist. This introduction is not rigorous from a mathematician’s point of view. We would assume that these manifolds have all the nice mathematical properties (Hausdorff nature, paracompactness etc.) which are n
作者: 披肩    時(shí)間: 2025-3-22 23:26

作者: 民間傳說(shuō)    時(shí)間: 2025-3-23 02:52

作者: 啞劇    時(shí)間: 2025-3-23 07:29
Weak Gravitational Fieldsredictions which are startling. For example a spherical mass rotating slowly about an axis will “drag inertial frames” so that the spin of a gyroscope far from the mass will precess. Another prediction of the general theory of relativity is that perturbations of the metric . propagate as waves.
作者: Daily-Value    時(shí)間: 2025-3-23 11:41

作者: 修改    時(shí)間: 2025-3-23 14:22

作者: 真實(shí)的人    時(shí)間: 2025-3-23 20:24
to their respective topics, lists of the necessary materials and reagents, step-by-step laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls..?.Authoritative and easy to follow, .Ne978-1-4939-6211-2978-1-61779-310-3Series ISSN 1064-3745 Series E-ISSN 1940-6029
作者: 開花期女    時(shí)間: 2025-3-24 00:23
to their respective topics, lists of the necessary materials and reagents, step-by-step laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls..?.Authoritative and easy to follow, .Ne978-1-4939-6211-2978-1-61779-310-3Series ISSN 1064-3745 Series E-ISSN 1940-6029
作者: 拾落穗    時(shí)間: 2025-3-24 06:20
1544-9998 e Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - qui978-3-7643-9971-9Series ISSN 1544-9998 Series E-ISSN 2197-1846
作者: 焦慮    時(shí)間: 2025-3-24 07:06

作者: GRE    時(shí)間: 2025-3-24 14:25

作者: finale    時(shí)間: 2025-3-24 17:28
to small proteins in mice and developmental milestones of behavior in newborn mice are described. Neuropeptide Methods provides the reader with broad perspectives and breadth of knowledge on current topics related to neuropeptide research..978-1-61737-587-3978-1-60327-099-1Series ISSN 0893-2336 Series E-ISSN 1940-6045
作者: 接合    時(shí)間: 2025-3-24 19:30

作者: 慢慢沖刷    時(shí)間: 2025-3-24 23:44

作者: 生氣地    時(shí)間: 2025-3-25 03:54
to small proteins in mice and developmental milestones of behavior in newborn mice are described. Neuropeptide Methods provides the reader with broad perspectives and breadth of knowledge on current topics related to neuropeptide research..978-1-61737-587-3978-1-60327-099-1Series ISSN 0893-2336 Series E-ISSN 1940-6045
作者: 價(jià)值在貶值    時(shí)間: 2025-3-25 10:47

作者: vocation    時(shí)間: 2025-3-25 15:21
graphy on peptides conjugated to SulfoLink Coupling Gel (Pierce). Mouse brain proteins were prepared (4 months old) and separated into cytoplasmic and nuclear fractions. Proteins were further separated by SDS-PAGE (SDS-PolyAcrylamide Gel Electrophoresis) and transferred to nitrocellulose membranes.
作者: 聽寫    時(shí)間: 2025-3-25 18:17
e of porcine NPY and the amino acid sequences of two related peptides, pancreatic polypeptide and peptide YY (.,.). These experiments were performed in the early 1980s before the advent of genome sequencing and polymerase chain reaction (PCR) technology. Today, experiments to obtain cDNAs for protei
作者: 身體萌芽    時(shí)間: 2025-3-25 20:41

作者: Neuropeptides    時(shí)間: 2025-3-26 02:00

作者: 藥物    時(shí)間: 2025-3-26 07:56

作者: Repetitions    時(shí)間: 2025-3-26 10:52
e of porcine NPY and the amino acid sequences of two related peptides, pancreatic polypeptide and peptide YY (.,.). These experiments were performed in the early 1980s before the advent of genome sequencing and polymerase chain reaction (PCR) technology. Today, experiments to obtain cDNAs for protei
作者: 失望昨天    時(shí)間: 2025-3-26 16:27

作者: BIAS    時(shí)間: 2025-3-26 18:12
lated collecting ducts. It can also act prejunctionally to inhibit noradrenaline release via Y. receptors. Despite the profound reductions of renal blood flow, systemic NPY infusion can cause diuresis and natriuresis; this occurs largely independent of the pressure natriuresis mechanisms and is poss
作者: SLAG    時(shí)間: 2025-3-27 00:29
successful .Methods in Molecular Biology?. series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls..?.Authoritative and easy to follow, .Ne
作者: BILL    時(shí)間: 2025-3-27 03:58

作者: Resection    時(shí)間: 2025-3-27 07:44

作者: Breach    時(shí)間: 2025-3-27 10:50
peptides and peptide analogues.Emphasis to advanced technolo.Major advances in molecular biology, alternative RNA splicing, protein processing, identification of gene control elements, transgenic animals and bioinformatics open up multiple research avenues and allow for better understanding of neuro
作者: 通情達(dá)理    時(shí)間: 2025-3-27 16:33
al for embryonic development and brain formation. ADNP includes an active neuroprotective site, an 8 amino acid peptide NAPSVIPQ (NAP). The current study was set out to prepare antibodies to ADNP that will recognize different sites on the molecule. Four peptides of 8–20 amino acids that span the ADN
作者: Neutropenia    時(shí)間: 2025-3-27 20:56
peptides and peptide analogues.Emphasis to advanced technolo.Major advances in molecular biology, alternative RNA splicing, protein processing, identification of gene control elements, transgenic animals and bioinformatics open up multiple research avenues and allow for better understanding of neuro
作者: immunity    時(shí)間: 2025-3-27 22:54
al for embryonic development and brain formation. ADNP includes an active neuroprotective site, an 8 amino acid peptide NAPSVIPQ (NAP). The current study was set out to prepare antibodies to ADNP that will recognize different sites on the molecule. Four peptides of 8–20 amino acids that span the ADN
作者: 消極詞匯    時(shí)間: 2025-3-28 02:24
al for embryonic development and brain formation. ADNP includes an active neuroprotective site, an 8 amino acid peptide NAPSVIPQ (NAP). The current study was set out to prepare antibodies to ADNP that will recognize different sites on the molecule. Four peptides of 8–20 amino acids that span the ADN
作者: 催眠藥    時(shí)間: 2025-3-28 07:49

作者: CLOUT    時(shí)間: 2025-3-28 11:43

作者: 有花    時(shí)間: 2025-3-28 15:34
al for embryonic development and brain formation. ADNP includes an active neuroprotective site, an 8 amino acid peptide NAPSVIPQ (NAP). The current study was set out to prepare antibodies to ADNP that will recognize different sites on the molecule. Four peptides of 8–20 amino acids that span the ADN
作者: irritation    時(shí)間: 2025-3-28 21:04
nsmitters and neuropeptides produced and released. Neuropeptide tyrosine (NPY) is one of the most abundant and widely expressed peptides in the mammalian nervous system (.). It was originally isolated by virtue of a chemical assay that detects the presence of a carboxyl-terminal amide in proteins (.
作者: 脫離    時(shí)間: 2025-3-28 22:54
ecular tools for studying the functions of neuropeptides and their receptors in the brain. Their potential usefulness is even greater for the ever increasing number of newly discovered peptide and receptor genes expressed in the central nervous system for which pharmacological blocking agents or sel
作者: 自負(fù)的人    時(shí)間: 2025-3-29 06:26

作者: 重力    時(shí)間: 2025-3-29 07:43
tforward, with well-established protocols, and high-quality reagents are readily available. Most steps are relatively forgiving, and there is a short learning curve. The value of this should not be underestimated when comparing it with expression-based strategies, such as oocyte injections or transi
作者: effrontery    時(shí)間: 2025-3-29 15:17
nsmitters and neuropeptides produced and released. Neuropeptide tyrosine (NPY) is one of the most abundant and widely expressed peptides in the mammalian nervous system (.). It was originally isolated by virtue of a chemical assay that detects the presence of a carboxyl-terminal amide in proteins (.
作者: 委托    時(shí)間: 2025-3-29 15:55

作者: 招致    時(shí)間: 2025-3-29 21:49
lso be activated by peptide YY (PYY), a circulating hormone released from gastrointestinal cells. Five subtypes of NPY receptors have been cloned, among which Y., Y.and Y. appear to be involved in the regulation of renal function. NPY produces potent renal vasoconstriction in vitro in isolated inter
作者: gregarious    時(shí)間: 2025-3-30 01:51

作者: 闡釋    時(shí)間: 2025-3-30 04:37

作者: Champion    時(shí)間: 2025-3-30 11:24
e development of pharmacologically active compounds that are capable of crossing the blood-brain barrier to exert their biological role(s) .in vivo. and in the construction of genetic vectors to be employed in gene therapy.? .Neuropeptides: Methods and Protocols. presents a readily reproducible coll
作者: Arthropathy    時(shí)間: 2025-3-30 14:45

作者: 枯萎將要    時(shí)間: 2025-3-30 19:44

作者: Adrenaline    時(shí)間: 2025-3-30 22:18

作者: 褻瀆    時(shí)間: 2025-3-31 03:32
https://doi.org/10.1007/978-3-7643-9971-9Christoffel symbol; Friedman equation; Gravity; Kerr solution; Relativity; Riemannian geometry; Schwarzsch
作者: aristocracy    時(shí)間: 2025-3-31 07:02

作者: 跑過    時(shí)間: 2025-3-31 13:04

作者: maladorit    時(shí)間: 2025-3-31 15:33
Vectors and TensorsWe review the familiar notions of a vector space, the dual vector space, tensor and exterior products.
作者: 牲畜欄    時(shí)間: 2025-3-31 21:36
Inner ProductIn this chapter we introduce the additional structure of an inner product or metric on a vector space and its associated spaces.
作者: MUTE    時(shí)間: 2025-4-1 01:29

作者: Apoptosis    時(shí)間: 2025-4-1 03:49
Additional Topics in GeometryWe have already encountered diffeomorphisms in the previous chapter as one-to-one invertible bothways-differentiable maps of a manifold onto itself. We now define maps between different manifolds.
作者: Arthropathy    時(shí)間: 2025-4-1 06:00
The Einstein EquationWe have learnt something about the left-hand side of the Einstein equation . in chapters on geometry. It is time now to have a look at the equation itself.
作者: 移植    時(shí)間: 2025-4-1 12:05
Schwarzschild and Kerr SolutionsFor the purpose of simplifying formulas, we use a unit of time so that t stands for ct and unit of mass so that 2M stands for 2GM/c. in this chapter except for section 14.4 where c and G appear as usual.




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