×
Well done. You've clicked the tower. This would actually achieve something if you had logged in first. Use the key for that. The name takes you home. This is where all the applicables sit. And you can't apply any changes to my site unless you are logged in.

Our policy is best summarized as "we don't care about _you_, we care about _them_", no emails, so no forgetting your password. You have no rights. It's like you don't even exist. If you publish material, I reserve the right to remove it, or use it myself.

Don't impersonate. Don't name someone involuntarily. You can lose everything if you cross the line, and no, I won't cancel your automatic payments first, so you'll have to do it the hard way. See how serious this sounds? That's how serious you're meant to take these.

×
Register

Required. 150 characters or fewer. Letters, digits and @/./+/-/_ only.

Enter the same password as before, for verification.

Grow A Dic
Define A Word
Make Space
Mark Post
(From: saved spaces)
Apply Dic
Exclude Dic
All amazon affiliates are welcome to post here with dictionaries of advertising products to advertise 1 product at a time per post. And then link that in for self posts elsewhere.

### Posts:

Based on numerical simulation of Hodgkin and Huxley type neuron stimulated from many synaptic inputs, an abstract concept of signal processin...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:49 p.m.
The Cauchy problem for a coupled Schroedinger and Benjamin - Ono system is shown to be globally well-posed for a class of data without finite...
Words:
Views: 0
Latest: Nov. 19, 2020, 6:05 p.m.
We consider a noise driven network of integrate-and-fire neurons. The network evolves as result of the activities of the neurons following sp...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:43 p.m.
Electrical and chemical synapses shape the dynamics of neural networks and their functional roles in information processing have been a longs...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:49 p.m.
We review the issue of Borel summability in the framework of multiscale analysis and renormalization group, by discussing a proof of Borel su...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:57 p.m.
We study weak coupling perturbative series in 4d N=2 and 5d N=1 supersymmetric gauge theories with Lagrangians. We prove that the perturbativ...
Words:
Views: 0
Latest: Oct. 2, 2020, 7 p.m.
Most of our understanding of bacterial chemotaxis comes from studies of Escherichia coli. However, recent evidence suggests significant depar...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:31 p.m.
Connectomics aims to recover a complete set of synaptic connections within a dataset imaged by volume electron microscopy. Many systems have ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:43 p.m.
There has been significant recent interest towards achieving highly efficient deep neural network architectures. A promising paradigm for ach...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:46 p.m.
Recent experiments suggested that homeostatic regulation of synaptic balance leads the visual system to recover and maintain a regime of powe...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:49 p.m.
In this study we compare Ces\{a}ro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power se...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:54 p.m.
In this paper we study the almost everywhere convergence of the expansions related to the self-adjoint extension of the Laplace operator. The...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:57 p.m.
We prove that every unconditionally summable sequence in a Hilbert space can be factorized as the product of a square summable scalar sequenc...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:58 p.m.
The space $\widehat{\ell }_k$ of absolutely almost convergent series was introduced and studied by Das et al [4]; which plays an important ro...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:59 p.m.
We give a geometric interpretation of sheaf cohomology for higher degrees n in terms of torsors on the member of degree d=n-1 in hypercoverin...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:24 p.m.
Regulatory networks have evolved to allow gene expression to rapidly track changes in the environment as well as to buffer perturbations and ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:31 p.m.
Escherichia coli and other bacteria use rotating helical filaments to swim. Each cell typically has about four filaments, which bundle or dis...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:38 p.m.
Trafficking of AMPA receptors in and out of synapses is crucial for synaptic plasticity. Previous studies have focused on the role of endo/ex...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:43 p.m.
We introduce a mathematical framework where the statistics of spikes trains, produced by neural networks evolving under synaptic plasticity, ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:49 p.m.
When an action potential is transmitted to a postsynaptic neuron, a small change in the postsynaptic neuron's membrane potential occurs. ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:45 p.m.
Experimental observations on synaptic plasticity at individual glutamatergic synapses from the CA3 Shaffer collateral pathway onto CA1 pyrami...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:47 p.m.
We present some new results on strongly summable ultrafilters. As the main result, we extend a theorem by N. Hindman and D. Strauss on writin...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:52 p.m.
We generalize the notion of summable Szlenk index from a Banach space to an arbitrary weak$^*$-compact set. We prove that a weak$^*$-compact ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:53 p.m.
In this paper we study the exponential uniform strong summability of two-dimensional Vilenkin-Fourier series. In particular, it is proved tha...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:54 p.m.
We prove that the $c_0$-sum of separable Banach spaces with uniformly summable Szlenk index has summable Szlenk index, whereas this result is...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:55 p.m.
In this paper, we'll show the robustness of global stability for perturbed dissipative dynamical systems.
Words:
Views: 0
Latest: Oct. 2, 2020, 7:03 p.m.
In the present study, we have introduced Ces\{a}ro summability of integrals of fuzzy-number-valued functions and given one-sided Tauberian c...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:57 p.m.
If $f$ is a transcendental entire function with only algebraic singularities we calculate the Ruelle operator of $f$. Moreover, we prove both...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:58 p.m.
We extend a series of results due to Makienko, Dominguez and Sienra on the rigidity of some holomorphic dynamical systems with summable criti...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:58 p.m.
Light sterile neutrinos can be excited by oscillations with active neutrinos in the early universe. Their properties can be constrained by th...
Words:
Views: 0
Latest: Nov. 10, 2020, 8:35 a.m.
As brown dwarfs cool, a variety of species condense in their atmospheres, forming clouds. Iron and silicate clouds shape the emergent spectra...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:20 p.m.
It is shown that the K3 spectra which refine the local rings of the moduli stack of ordinary p-primitively polarized K3 surfaces in character...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:23 p.m.
This paper reports X-ray microtomographic visualization of the microorganism Escherichia coli overexpressing a metalloprotein ferritin. The t...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:27 p.m.
We have developed a mathematical model of transcriptional activation by MarA in Escherichia coli, and used the model to analyze measurements ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:31 p.m.
A model for the aerobic and anaerobic growth of Escherichia coli (HB101 K12 pGLO) depending on the concentration of oxygen and DOC as substra...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:36 p.m.
The presence of clusters of rare codons is known to negatively impact the efficiency and accuracy of protein production. In this paper, we de...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:37 p.m.
The responses of synapses in the neocortex show highly stochastic and nonlinear behavior. The microscopic dynamics underlying this behavior, ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:41 p.m.
Dendritic spines, the carriers of long-term memory, occupy a small fraction of cortical space, and yet they are the major consumers of brain ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:42 p.m.
With growing model complexity, mapping Spiking Neural Network (SNN)-based applications to tile-based neuromorphic hardware is becoming increa...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:44 p.m.
We are currently carrying out a K_s band survey for core-collapse supernovae in the nuclear (central kpc) regions of nearby starburst galaxie...
Words:
Views: 0
Latest: Nov. 10, 2020, 2:32 p.m.
We study a neural network model in which both neurons and synaptic interactions evolve in time simultaneously. The time evolution of synaptic...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:45 p.m.
Synaptic plasticity depends on the interaction between electrical activity in neurons and the synaptic proteome, the collection of over 1000 ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:45 p.m.
It is shown that long term behavior of two connected Integrate- and- Fire neurons with excitatory synapses is determined by some fixed-points...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:46 p.m.
In this work, we perform an exploratory study on synthesizing deep neural networks using biological synaptic strength distributions, and the ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:47 p.m.
We investigated the influence of efficacy of synaptic interaction on firing synchronization in excitatory neuronal networks. We found spike d...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:51 p.m.
As a means of dynamically reconfiguring the synaptic weight of a superconducting optoelectronic loop neuron, a superconducting flux storage l...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:48 p.m.
A theory of temporally asymmetric Hebb (TAH) rules which depress or potentiate synapses depending upon whether the postsynaptic cell fires be...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:50 p.m.
The main purpose of this paper is to introduce the concepts of Wijsman $C_{\lambda}$ statistical convergence, Wijsman $C_{\lambda}$ summabili...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:52 p.m.
In this paper, by using an almost increasing and $\delta$-quasi-monotone sequence, a general theorem on $\phi-{\mid{C},\alpha\mid}_k$ summabi...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:54 p.m.
We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E; F, this index plays the role of a kind of me...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:54 p.m.
This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
Words:
Views: 0
Latest: Oct. 2, 2020, 7:03 p.m.
A definition of summability is put forward in the framework of general Carleman ultraholomorphic classes in sectors, so generalizing $k-$summ...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:55 p.m.
The aim of this paper is to continue the study of asymptotic expansions and summability in a monomial in any number of variables. In particul...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:55 p.m.
A configuration space of intervals in $\mathbb R^1$ with partially summable labels is constructed. It is a kind of an extension of the config...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:55 p.m.
Inverse problem for Dirac systems with locally square summable potentials and rectangular Weyl functions is solved. For that purpose we use a...
Words:
Views: 0
Latest: Oct. 2, 2020, 6:57 p.m.
We introduce the notion of an adelically summable normalized weight $g$, which is a family of normalized weights on the Berkovich projective ...
Words:
Recently Ruckle \cite{RuckleArithmeticalSummability} introduced the theory of arithmetical summability suggested by the sum $\sum_{k|m}f(k) ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:58 p.m. The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. T... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:58 p.m. In this paper, we extend the notions of statistically convergence of order$\beta $and strong Ces\`{a}ro summability of order$\beta ,and ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:58 p.m. An analogue of D. Waterman's result on the summability of the Fourier series for functions of bounded \Lambda-variation by the Ces\'a... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:58 p.m. In this paper we will show that monomial summability can be characterized using Borel-Laplace like integral transformations depending of a pa... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:59 p.m. It is shown that a pointwise amenable Banach algebra need not be amenable. This positively answer a question raised by Dales, Ghahramani and ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 7:03 p.m. The paper introduces a novel iterative method that assigns a reputation to n + m items: n raters and m objects. Each rater evaluates a subset... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:02 p.m. In this paper we have characterized the space of summability kernels for the case p=1 and p=2. For other values of p we give a necessary cond... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:55 p.m. Public debate about AI is dominated by Frankenstein Syndrome, the fear that AI will become superhuman and escape human control. Although supe... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:22 p.m. Photonic synthesis of radiofrequency revived the quest for unrivalled microwave purity by its seducing ability to convey the benefits of the ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:22 p.m. Growth in confined spaces can drive cellular populations through a jamming transition from a fluid-like state to a solid-like state. Experime... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:25 p.m. This paper presents the plnauty~library, a Prolog interface to the nauty graph-automorphism tool. Adding the capabilities of nauty to Prolog ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:27 p.m. Run-and-tumble motility is widely used by swimming microorganisms including numerous prokaryotic eukaryotic organisms. Here, we experimentall... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:28 p.m. Positioning of the midcell division plane within the bacterium E. coli is controlled by the min system of proteins: MinC, MinD and MinE. Thes... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:29 p.m. Martincorena et al. estimated synonymous diversity ({\theta}s = 2N{\mu}) across 2,930 orthologous gene alignments from 34 Escherichia coli ge... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:35 p.m. In a letter published in Molecular Biology Evolution [10], Chen and Zhang argue that the variation of the mutation rate along the Escherichia... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:35 p.m. Desulfoferrodoxin is a small protein found in sulfate-reducing bacteria that contains two independent mononuclear iron centers, one ferric an... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:36 p.m. Understanding the organization of reaction fluxes in cellular metabolism from the stoichiometry and the topology of the underlying biochemica... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:37 p.m. We study unbounded "supersolutions" of the Evolutionaryp$-Laplace equation with slow diffusion. They are the same functions as th... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:59 p.m. In Diffusive Molecular Communication (DMC), information is transmitted by diffusing molecules. Synaptic signaling is a natural implementation... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:41 p.m. Leaky integrate-and-fire (LIF) models are mean-field limits, with a large number of neurons, used to describe neural networks. We consider in... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:42 p.m. Thanks to the 2dF spectrograph on the Anglo-Australian Telescope, we have recently completed the first stage of a complete spectroscopic surv... Words: Votes: Views: 0 Latest: Nov. 10, 2020, 2:32 p.m. Synapses are functional links between neurons, through which "information" flows in the neural network. These connections vary sign... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:44 p.m. We study the effect of competition between short-term synaptic depression and facilitation on the dynamical properties of attractor neural ne... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:47 p.m. We study periodic travelling waves in the Theta model for a linear continuum of synaptically-interacting neurons. We prove that when the neur... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:44 p.m. In the cerebral cortex, neurons are subject to a continuous bombardment of synaptic inputs originating from the network's background acti... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:45 p.m. We obtain some optimal estimates for multilinear forms on$\ell _{p}$spaces. Words: Votes: Views: 0 Latest: Oct. 2, 2020, 7 p.m. The density of synaptic receptors in front of presynaptic release sites is stabilized in the presence of scaffold proteins, but the receptors... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:45 p.m. The highly parallel process in the neuron networks is mediated through a mass of synaptic interconnections. Mimicking single synapse behavior... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:45 p.m. Spike-Timing Dependent Plasticity (STDP) is believed to play an important role in learning and the formation of computational function in the... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:45 p.m. Message passing between components of a distributed physical system is non-instantaneous and contributes to determine the time scales of the ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:46 p.m. The interplay between structure and function is crucial in determining some emerging properties of many natural systems. Here we use an adapt... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:46 p.m. In the paper we give a complete classification of schemes of abstract perspectives between two tetrahedrons such that intersecting edges core... Words: Votes: Views: 0 Latest: Nov. 19, 2020, 6:35 a.m. Recent experimental studies strongly suggest the influence of glial purinergic transmission in the modulation of synaptic dynamics. By releas... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:47 p.m. Alzheimer's disease (AD) is a common form of dementia observed in the elderly due to neurodegenerative disorder and dysfunction. This ari... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:47 p.m. To understand the behavior of a neural circuit it is a presupposition that we have a model of the dynamical system describing this circuit. T... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:47 p.m. Learning and memory in the brain are implemented by complex, time-varying changes in neural circuitry. The computational rules according to w... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:48 p.m. Noise-delayed decay (NDD) phenomenon emerges when the first-spike latency of a periodically forced stochastic neuron exhibits a maximum for a... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:48 p.m. We compute the firing rate of a leaky integrate-and-fire (LIF) neuron with stochastic conductance-based inputs in the limit when synaptic dec... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:50 p.m. The influence of the synaptic channel properties on the stability of delayed activity maintained by recurrent neural network is studied. The ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:50 p.m. We analyze the control of frequency for a synchronized inhibitory neuronal network. The analysis is done for a reduced membrane model with a ... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 6:50 p.m. In this paper we study the tensor product of two$f$-algebras. We show that the Riesz Subspace generated by a subalgebra in an$f$-algebra is... Words: Votes: Views: 0 Latest: Oct. 2, 2020, 7:06 p.m. In our previous paper (ArXiv:1306.1492) we have proved that a representation of the infinitesimal generators$L$for Levy processes$X_t\$ can...