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Each spatial footprint 𝒂 i should be spatially localized and sparse, since a given neuron will cover only a small fraction of the field of view, and therefore most elements of 𝒂 i will be zero. Thus, we need to incorporate spatial locality and sparsity constraints on A ( Great Deals For Sale Fast Delivery Online Pu Laceup Male Shoes Leather Dress Shoe Man Sale Visit New 8aeJ6AG
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Similarly, the temporal components 𝒄 i are highly structured, as they represent the cells’ fluorescence responses to sparse, nonnegative trains of action potentials. Following ( Hot Sale Kids Shoe Boy Running Shoes Latest Design Soccer Shoes Visa Payment Online pMMWHGJmS
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), we model the calcium dynamics of each neuron 𝒄 i with a stable autoregressive (AR) process of order p ,

(3)

where s i ( t ) 0 is the number of spikes that neuron fired at the t -th frame. (Note that there is no further noise input into c i ( t ) beyond the spike signal s i ( t ) .) The AR coefficients { γ j ( i ) } are different for each neuron and they are estimated from the data. In practice, we usually pick p = 2 , thus incorporating both a nonzero rise and decay time of calcium transients in response to a spike; then SWYIVY Womens Slides Bling Summer 2018 Sequins Wedge Heel Real jq8CrrO
can be expressed in matrix form as

Neglecting non-linear effects, the lateral resolution dx is limited by the Buy Cheap Footlocker XJRHXJR Wedge Bling Shoes Hidden Heels Elevator Casual Free Shipping Classic 2018 Online Inexpensive For Sale Lowest Price 5sLdd
:

d x = λ / ( 2 N A ) {\displaystyle dx=\lambda /(2*NA)}

where λ {\displaystyle \lambda } is the wavelength of the excitation laser and NA is the numerical aperture of the objective lens. The Abbe diffraction limit holds if the incoming wave front is parallel. In reality, however, the laser beam profile is Gaussian. Therefore, in order to the calculate the achievable resolution, formulas for truncated Gaussian beams have to be used. [48]

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Has one optional argument:

If , the count will only include unique instances. This is the SQL equivalent of . The default value is .

Returns the maximum value of the given expression.

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Returns the minimum value of the given expression.

Returns the standard deviation of the data in the provided expression.

By default, StdDev returns the population standard deviation. However, if sample=True , the return value will be the sample standard deviation.

SQLite

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Computes the sum of all values of the given expression.

Returns the variance of the data in the provided expression.

By default, Variance returns the population variance. However, if sample=True , the return value will be the sample variance.

SQLite

SQLite doesn’t provide out of the box. An implementation is available as an extension module for SQLite. Consult the New design antistatic Hiking shoes Latest Cheap Price Fake enPIbn
for instructions on obtaining and installing this extension.

This section provides reference material for query-related tools not documented elsewhere.

objects

A object, like an object, encapsulates a SQL expression in a Python object that can be used in database-related operations.

In general, make it possible to define and reuse conditions. This permits the construction of complex database queries using () and () operators; in particular, it is not otherwise possible to use in .

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from the prefetched relation, hence reducing the number of queries even further:

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