A condition for the emergence of a discontinuity in an elastic peridynamic body is proposed, resulting in a material stability condition for crack nucleation. The condition is derived by determining whether a small discontinuity in displacement, superposed on a possibly large deformation, grows over time. Stability is shown to be determined by the sign of the eigenvalues of a tensor field that ...

We identify the key property that the exchange-correlation (XC) kernel of time-dependent density-functional theory must have in order to describe long-range charge-transfer excitations. We show that the discontinuity of the XC potential as a function of particle number induces a spaceand frequency-dependent discontinuity of the XC kernel that diverges as r → ∞. In a combined donor-acceptor syst...

Brain oscillations in various frequency bands have been shown to be an important means of enabling interarea communication for high-level cognitive performance. Interestingly, perturbation to such oscillations in the form of weak noise has been shown to benefit perception in tasks such as the attentional blink (AB). Here, we investigated perturbation intrinsic to the AB task in two conditions i...

Discontinuity meshing has greatly enhanced the visual and numerical accuracy of radiosity solutions. However, its computational expense means that it cannot be used in dynamic interactive environments with current hardware. Techniques are proposed which allow the discontinuity information to be reused as the environment changes. These techniques complement existing dynamic radiosity methods whi...

Interindividual-intergroup discontinuity is the tendency for relations between groups to be more competitive than relations between individuals. We examined whether the discontinuity effect arises in part because group members experience normative pressure to favor the ingroup (parochialism). Building on the notion that accountability enhances normative pressure, we hypothesized that the discon...

Introduction 2 0.1. Some theorems in mathematics with snappy model-theoretic proofs 2 1. Languages, structures, sentences and theories 2 1.1. Languages 2 1.2. Statements and Formulas 5 1.3. Satisfaction 6 1.4. Elementary equivalence 7 1.5. Theories 8 2. Big Theorems: Completeness, Compactness and Löwenheim-Skolem 9 2.1. The Completeness Theorem 9 2.2. Proof-theoretic consequences of the complet...

1 Shigang YUE is a research fellow of the Alexander von Humboldt (AvH) Foundation from Beijing Polytechnic University. Abstract The vibration induced in a deformable object upon automatic handling by robot manipulators can often be bothersome. This paper presents a force/torque sensorbased method for handling deformable linear objects (DLOs) in a manner suitable to eliminate acute vibration. An...

Holling (1992) suggested the texturaldiscontinuity hypothesis (TDH) as an explanation for the clumped body-mass distributions he observed for mammals and birds. The TDH states that the discontinuous structure of a landscape should dictate the sizes of the animals that inhabit it. Holling (1992) characterized landscapes in terms of their hierarchical habitat structure, proceeding from finely tex...

This paper examines the learnability of a major subclass of E-pattern languages – also known as erasing or extended pattern languages – in Gold’s learning model: We show that the class of terminal-free E-pattern languages is inferrable from positive data if the corresponding terminal alphabet consists of three or more letters. Consequently, the recently presented negative result for binary alph...