All functions have certain properties, or distinct features, which can be very useful when trying to analyze them. The following common properties of functions describe how a graph is shaped, what happens as x-values increase, and whether the functions can be further analyzed with calculus: Domai...
By using these trial functions, we found the functional integral and the Lagrangian of the system without loss. The general case for the two-box potential can be obtained based on a different ansatz. We approximate the Jost function by quadratic polynomials instead of a piece-wise linear ...
Learn about machine learning models: what types of machine learning models exist, how to create machine learning models with MATLAB, and how to integrate machine learning models into systems. Resources include videos, examples, and documentation covering
whereμ>0,(∗)is theconvolutionoperation between two functions,0<γ<1,fis a function with a certain type of growth. We prove the existence of a nontrivial solution at a certain mountain pass level and another ground state solution when the nonlinearityfis of exponential critical growth. 1Int...
T. Somatic and dendritic encoding of spatial variables in retrosplenial cortex differs during 2D navigation. Neuron 105, 237–245 (2020). Article CAS PubMed Google Scholar Xu, N.-l et al. Nonlinear dendritic integration of sensory and motor input during an active sensing task. Nature 492, ...
Youssri, Y.H., Abd-Elhameed, W.M., Ahmed, H.M.: New fractional derivative expression of the shifted third-kind chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations. J. Funct. Spaces, 2022 (2022) Hwang, C., Shih, Y.P.: Parameter identifi...
We then applied the nonlinear dimensionality reduction technique, Uniform Manifold Approximation and Projection (UMAP) or Automated Optimized Parameters for T-distributed Stochastic Neighbor Embedding (opt-SNE). Frequency (%) of different immune cells subsets is obtained through reduction and clustering ...
Nonlinear narrative is the opposite of linear narrative: events are told in a non-chronological order. This has two main uses: It can represent the narrator's emotional state or splintered consciousness.For example, a traumatized narrator who hasflashbacksmight tell events out of sequence, as they...
‘nonLinear’, ‘deformFunc’, ‘deformBend’, ‘deformTwist’, ‘deformSquash’, ‘deformFlare’, ‘deformSine’, ‘deformWave’, ‘deformBendManip’, ‘deformTwistManip’, ‘deformSquashManip’, ‘deformFlareManip’, ‘deformSineManip’, ‘deformWaveManip’, ‘softModMan...
B. Two-photon imaging of nonlinear glutamate release dynamics at bipolar cell synapses in the mouse retina. J. Neurosci. 33, 10972–10985 (2013). Article CAS PubMed PubMed Central Google Scholar Sabbah, S. et al. Intrinsically photosensitive retinal ganglion cells evade temporal filtering to ...