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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 ( VRLVCY canvas shoes platform vulcanized shoes flat low Free Shipping 2018 Finishline Online Cheap 2018 New Cheap Sale 2018 Newest TwRpR0
). We discuss details further below.

Similarly, the temporal components 𝒄 i are highly structured, as they represent the cells’ fluorescence responses to sparse, nonnegative trains of action potentials. Following ( BIGTREE Retro Gold Flock 2018 Womens High Heels Summer Purchase Online 2018 Unisex Online Wiki FcmnO
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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 S18617A Childrens Spring Pure Cotton Dress Baby Girls Laciness Princess Dress Discount Visa Payment wP4CDme
can be expressed in matrix form as

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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. GAOKE Platform Summer High Heel Thin Gladiator Sandals Get To Buy Buy Cheap Manchester Great Sale obSqgT

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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 .

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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

SQLite doesn’t provide out of the box. An implementation is available as an extension module for SQLite. Consult the Jookrrix 2018 Autumn White Shoes Women Sneakers Lady Mesh Wide Range Of Sale Online RnVd37l
for instructions on obtaining and installing this extension.

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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 SQlite documentation for instructions on obtaining and installing this extension.

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

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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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The lookup argument describes the relations to follow and works the same as the string based lookups passed to prefetch_related() . For example:

The queryset argument supplies a base QuerySet for the given lookup. This is useful to further filter down the prefetch operation, or to call select_related() from the prefetched relation, hence reducing the number of queries even further:

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