jensen s and related inequalities
Báo cáo hóa học: " Homogeneity of isosceles orthogonality and related inequalities" ppt
... holds, then M is said to be an L2-summand subspace (cf [12]) Note that, when M is an L2-summand subspace, N is uniquely determined Let x be a point in X If the subspace spanned by x is an L2-summand ... only if isosceles orthogonality is homogeneous and NHX = if and only if the underlying space is not uniformly non-square Homogeneous directions of isosceles orthogonality First, we study the ... Then, there exist two sequences of numbers {an} and {bn} such that un ⊥B (αn x + w) and ⊥B (βn x + w) By extracting two subsequences if it is necessary, we may assume, without loss of generality,...
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Tài liệu Parkinson’s Disease and Related Disorders docx
... congress site and was often seen discussing topics of mutual interest with congress participant s There was an interesting new study presented by Professor Deuschl, Kiel, in which he demonstrates ... outstanding scientists and clinicians, Toshiharu Nagatsu, Yoshikuni Mizuno, Japan (Award of the WFN Research Group on Parkinsonism and Related Disorders), Saskia Biskup, Germany and Andrew B Singleton, ... is similar in spirit to PLS (partial least squares) In PLS the cross-covariance between two data sets (in this case EEG and EMG) is first computed and then SVD (singular value decomposition) is...
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LifeOut of Focus Alzheimer’s Disease and Related Disorders ppt
... is essential in transmission of nerve impulses through the synapses of the brain and central nervous system (A synapse is the point at 33 LIFE OUT OF FOCUS: ALZHEIMER S DISEASE AND RELATED DISORDERS ... OF FOCUS: ALZHEIMER S DISEASE AND RELATED DISORDERS A gradual loss of memory, affecting a person s skills and behavior, characterizes Alzheimer s disease In Helen s case, she slowly lost her ... dementia caused by medical conditions such as head injuries, diseases caused by the human immunodeficiency virus (HIV), Parkinson s disease, and Huntington s disease; and substance-induced persisting...
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PET in the Evaluation of Alzheimer’s Disease and Related Disorders docx
... Cognitive screening includes using validated screening instruments, such as the MMSE, and brief bedside assessments Cognitive screenings are usually sensitive to significant cognitive impairment associated ... onset and specific diagnoses as well as symptoms in family members, if known, is relevant For psychiatric history, the clinician should ask whether any relatives had psychiatric illnesses such ... tests.33 Medical/Psychiatric/Surgical Histories and Review of Systems Gathering information about previous episodes of memory loss, mood or other psychiatric disorders, and medical conditions and...
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An Atlas of PARKINSON’S DISEASE AND RELATED DISORDERS pdf
... index ISBN 1-85070-943-2 Extrapyramidal disorders Atlases Parkinsonism Atlases Movement disorders Atlases I Title II Series [DNLM: Parkinson Disease atlases Basal Ganglia Diseases atlases Movement ... in Spain by T.G Hostench, S. A Contents Foreword Preface Acknowledgements Section A Review of Parkinson s Disease and Related Disorders Section Parkinson s Disease and Related Disorders Illustrated ... characteristics of Parkinson 's disease must take into account the inaccuracies of clinical diagnosis In a successive series of 100 patients with a clinical diagnosis of Parkinson 's disease, only...
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An Illustrated Pocketbook of Parkinson''''s Disease and Related Disorders pot
... The use of subcutaneous apomorphine as a diagnostic test for idiopathic Parkinson s disease has been advocated, but both false-positive and false-negative results occur There is no consensus as ... increased in those with a history of herbicide or metal exposure A family history of Parkinson s disease is associated with an increased disease risk Both autosomal-dominant and autosomalrecessive ... uncontrollable dyskinesias or dystonic AN ILLUSTRATED POCKETBOOK OF PARKINSON S DISEASE Figure 10 Posture in early Parkinson s disease posturing (Figures 16 and 17) These problems have stimulated consideration...
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Handbook of Tourette''''s Syndrome and Related Tic and Behavioral Disorders, Second Edition doc
... Belmont, Massachusetts, U .S. A Loren Gianini Massachusetts General Hospital, Cambridge, Massachusetts, U .S. A Christopher G Goetz Rush University, Chicago, Illinois, U .S. A Stacy Horn Rush University, ... blepharospasm or Meige Motor and Vocal Tics syndrome should be considered voluntary because they are used as tricks to suppress the dystonic movements Tics Status or Status Tics Rarely, motor and ... dystonia) is triggered by sudden movement or startle, lasts seconds to a few minutes, and is suppressed with anticonvulsant therapy Paroxysmal dystonic choreoathetosis is induced by stress, prolonged...
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ALZHEIMER’S DISEASE AND RELATED DISORDERS ANNUAL doc
... gold standard, rest conform to class 1A NINCDS–ADRDA = National Institute of Neurological and Communicative Diseases and Stroke/Alzheimer s Disease and Related Disorders Association Definite and ... gold standard, rest conform to class 1A NINCDS–ADRDA = National Institute of Neurological and Communicative Diseases and Stroke/Alzheimer s Disease and Related Disorders Association Definite and ... individuals; IA = neuropathologic diagnosis is gold standard, rest conform to class 1A NINCDS–ADRDA = National Institute of Neurological and Communicative Diseases and Stroke/Alzheimer s Disease and Related...
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Báo cáo hóa học: " Local stability of the Pexiderized Cauchy and Jensen’s equations in fuzzy spaces" pptx
... Fuzzy Sets Syst 159, 730–738 (2008) doi:10.1016/j.fss.2007.07.011 Mirmostafee, AK, Moslehian, MS: Fuzzy versions of Hyers-Ulam-Rassias theorem Fuzzy Sets Syst 159, 720–729 (2008) doi:10.1016/j.fss.2007.09.016 ... Hyers-Ulam-Rassias stability of a Pexiderized quadratic inequality Math Inequal Appl 4, 93–118 (2001) Jung, S- M: Hyers-Ulam-Rassias stability of Jensen s equation and its application Proc Am Math Soc ... Trans Am Math Soc 347, 3111–3119 (1995) doi:10.2307/2154775 Hyers, DH, Isac, G, Rassias, ThM: Stability of Functional Equations in Several Variables Birkhäuser, Basel (1998) Hyers, DH, Isac,...
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Báo cáo hóa học: " A new interpretation of Jensen’s inequality and geometric properties of -means" pptx
... λc, s1 , s2 (x) = s2 λc,ϕ,ψ (x) + − s2 (s1 = 0) (3) and λc, s1 , s2 (x) = s2 s − s1 − s1 s1 λc,ϕ,ψ (x) − s1 −1 s1 (s1 = 0) (4) for each x Î I\{c} If s1 = 0, then it is trivial by (3) that λc, s1 ... first result asserts that a -mean function: ∇ ® M (f) is well defined and order preserving, and this assertion simultaneously gives a new interpretation of Jensen s inequality However, this ... function: s ® M(1 -s) +s (f) is strictly monotone increasing and continuous on [0, ∞) Proof (i) Suppose that ϕ, ψ − ϕ ∈ C+ (I) For each s ≥ 1, put s = (1 - s) + s Since sm s = + s( ψ - ),...
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Báo cáo sinh học: " Research Article Improvement and Reversion of Slater’s Inequality and Related Results" pdf
... s1 , r s2 , and s s1 s2 /2 3.28 for t s1 , s s2 , and r if s2 < s1 Similarly by setting m in 3.36 , we have special case of 3.29 for r s1 , s s1 s2 /2 if s1 < s2 and for r s2 , s s1 , t s1 s2 ... t s1 , r s2 , and s s1 s2 /2 if 3.39 for t s1 , s s2 , r s2 < s1 Similarly by setting m in 3.44 , we have special case of 3.40 for r s1 , s s2 , s1 s2 /2 if s2 < s1 and t s1 s2 /2 if s1 < s2 ... 2.20 So, we have that the expression on the right-hand side of 2.20 is also means Improvements and Related Results Definition 3.1 see 7, page A function φ : I → R is convex if φ s1 s3 − s2 φ s2 s1 ...
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Báo cáo hóa học: " Research Article Jensen’s Inequality for Convex-Concave Antisymmetric Functions and Applications" pptx
... Journal of Inequalities and Applications holds for every x, y ∈ I It is clear that every convex function is Jensen- convex To see that the class of convex functions is a proper subclass of Jensen- convex ... proof, see 2, page 71 or 1, page 53 A class of functions which is between the class of convex functions and the class of Jensen- convex functions is the class of Wright-convex functions A function ... Orderings, and Statistical Applications, c c vol 187 of Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1992 G Hardy, J E Littlewood, and G Polya, Inequalities, Cambridge...
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Báo cáo hóa học: " Research Article A Refinement of Jensen’s Inequality for a Class of Increasing and Concave Functions" pptx
... for various unknown weight vectors p This is why the statement of Theorem 1.2 makes the assumption that this is true for all possible weight vectors The following lemma gives a simple sufficient ... Equation 1.11 is true if and only if θ1 ≤ 1−f t x1 /f x − θ1 σ − q tx1 1.12 The right-hand side The cases q or t not pose problems because the right-hand side is still finite is an increasing function ... Theorem 1.2 Suppose that f x is strictly increasing, strictly concave, and twice continuously differentiable on a nonempty interval I ⊆ R, and suppose that f x is strictly convex on I Suppose that...
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PARKINSON’S DISEASE AND RELATED DISORDERS - PART 5 pot
... Figure 14 Positive glabellar tap Persistent blinking is a feature of Parkinson s disease, but is also seen in Alzheimer s disease Figure 15 6-[18F]-fluorodopa–PET scan appearance in a normal subject ... cells (astrocytes and macrophages) Debris and a few vascular channels can be seen (Luxol fast blue–H & E) Figure 24 CT of a patient with a Parkinsonian syndrome shows multiple lacunar infarcts ... thick-walled arteriosclerotic blood vessels lying in dilated and fibrotic perivascular spaces (black arrow)(Luxol fast blue–H & E) ©2004 CRC Press LLC Figure 23 Histology showing a lacunar infarct...
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PARKINSON’S DISEASE AND RELATED DISORDERS - PART 6 ppt
... normal subject (left) compared with that in Parkinson 's disease (middle) and in progressive supranuclear palsy (right) (11C-raclopride is a selective reversible antagonist of D2 receptors) Figure ... degeneration shows atrophy of the putamen with rarefaction and gliosis (H & E) Figure 35 Transverse section of midbrain in striatonigral degeneration shows pallor of the substantia nigra ©2004 CRC Press ... (lower) basis pontis secondary to olivopontocerebellar atrophy in multiple system atrophy Figure 38 Histological sections of basis pontis (arrowed) show the normal complement of pontine neurons in...
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PARKINSON’S DISEASE AND RELATED DISORDERS - PART 7 pot
... 45 Histological section of cerebral cortex in corticobasal degeneration shows severe gliosis and an achromatic neuron (H & E) Figure 46 Histological sections of cerebral cortex showing swollen ... proved responsive to botulinum toxin ©2004 CRC Press LLC Figure 55 Abnormal neck posture in a patient with spasmodic torticollis Figure 56 Mechanisms of actions of various botulinum toxins (BTX) ... copy three hand postures (A–C, lower), in each instance, the patient 's version was defective (A–C, upper) ©2004 CRC Press LLC Figure 50 In this patient with corticobasal degeneration, sagittal T1-weighted...
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