Commit 23eb4453 by Martin Reinecke

### line breaks and small adjustments

parent baed911d
Pipeline #44859 passed with stages
in 9 minutes and 59 seconds
 ... @@ -166,9 +166,15 @@ NIFTy aids you in constructing your own log-likelihood by providing methods like ... @@ -166,9 +166,15 @@ NIFTy aids you in constructing your own log-likelihood by providing methods like An integral over a :class:~field.Field :code:s can be performed by calling :code:s.weight(1).sum(), which is equivalent to :code:s.integrate(). An integral over a :class:~field.Field :code:s can be performed by calling :code:s.weight(1).sum(), which is equivalent to :code:s.integrate(). Volume factors are also applied automatically in the following places: Volume factors are also applied automatically in the following places: - :class:~operators.harmonic_operators.FFTOperator as well as all other harmonic operators. Here the zero mode of the transformed field is the integral over the original field, thus the whole field is weighted once. - :class:~operators.harmonic_operators.FFTOperator as well as all other harmonic operators. - Some response operators, such as the :class:~library.los_response.LOSResponse. In this operator a line integral is discretised, so a 1-dimensional volume factor is applied. Here the zero mode of the transformed field is the integral over the original field, thus the whole field is weighted once. - In :class:~library.correlated_fields.CorrelatedField as well :class:~library.correlated_fields.MfCorrelatedField both describing fields with a smooth, a priori unknown correlation structure specified by a power spectrum. The field is multiplied by the square root of the total volume of it domain's harmonic counterpart. This ensures that the same power spectrum can be used regardless of the chosen resolution, provided the total volume of the space remains the same. It also guarantees that the power spectra in NIFTy behave according to their definition, i.e. the power of a mode :math:s_k is the expectation value of that mode squared, divided by the volume of its space :math:P(k) = \left\langle s_k^2 \right\rangle / V_k - Some response operators, such as the :class:~library.los_response.LOSResponse. In this operator a line integral is discretised, so a 1-dimensional volume factor is applied. - In :class:~library.correlated_fields.CorrelatedField as well as :class:~library.correlated_fields.MfCorrelatedField. Both describe fields with a smooth, a priori unknown correlation structure specified by a power spectrum. The field is multiplied by the square root of the total volume of it domain's harmonic counterpart. This ensures that the same power spectrum can be used regardless of the chosen resolution, provided the total volume of the space remains the same. It also guarantees that the power spectra in NIFTy behave according to their definition, i.e. the power of a mode :math:s_k is the expectation value of that mode squared, divided by the volume of its space :math:P(k) = \left\langle s_k^2 \right\rangle / V_k. Note that in contrast to some older versions of NIFTy, the dot product :code:s.vdot(t) of fields does **not** apply a volume factor, but instead just sums over the field components, Note that in contrast to some older versions of NIFTy, the dot product :code:s.vdot(t) of fields does **not** apply a volume factor, but instead just sums over the field components, ... ...
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