<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def getLocalElasticityByTime(self, bp, frameGap, helical=False, unit='kT', outFile=None):
 r"""Calculate local elastic properties as a function of time for convergence check It can be used to obtained elastic properties as a function of time. .. note:: Elastic properties cannot be calculated using a single frame because fluctuations are required. Therefore, here time means trajectory between zero time to given time. When ``helical='False'``, following is obtained: 1) Shift (:math:`K_{Dx}`) 2) Slide (:math:`K_{Dy}`) 3) Rise (:math:`K_{Dz}`) 4) Tilt (:math:`K_{\tau}`) 5) Roll (:math:`K_{\rho}`) 6) Twist (:math:`K_{\omega}`) 7) :math:`K_{Dx,Dy}` 8) :math:`K_{Dy,Dz}` 9) :math:`K_{Dz,\tau}` 10) :math:`K_{\tau, \rho}` 11) :math:`K_{\rho,\omega}` 12) :math:`K_{Dx,Dz}` 13) :math:`K_{Dy,\tau}` 14) :math:`K_{Dz,\rho}` 15) :math:`K_{\tau,\omega}` 16) :math:`K_{Dx,\tau}` 17) :math:`K_{Dy,\rho}` 18) :math:`K_{Dz,\omega}` 19) :math:`K_{Dx,\rho}` 20) :math:`K_{Dy,\omega}` 21) :math:`K_{Dx,\omega}` When ``helical='True'``, following is obtained: 1) Shift (:math:`K_{Dx}`) 2) Slide (:math:`K_{Dy}`) 3) Rise (:math:`K_{h}`) 4) Tilt (:math:`K_{\eta}`) 5) Roll (:math:`K_{\theta}`) 6) Twist (:math:`K_{\Omega}`) 7) :math:`K_{dx,dy}` 8) :math:`K_{dy,h}` 9) :math:`K_{h,\eta}` 10) :math:`K_{\eta, \theta}` 11) :math:`K_{\theta,\Omega}` 12) :math:`K_{dx,h}` 13) :math:`K_{dy,\eta}` 14) :math:`K_{h,\theta}` 15) :math:`K_{\tau,\Omega}` 16) :math:`K_{dx,\eta}` 17) :math:`K_{dy,\theta}` 18) :math:`K_{h,\Omega}` 19) :math:`K_{dx,\theta}` 20) :math:`K_{dy,\Omega}` 21) :math:`K_{dx,\Omega}` .. currentmodule:: dnaMD Parameters bp : list List of two base-steps forming the DNA segment. For example: with ``bp=[5, 50]``, 5-50 base-step segment will be considered. frameGap : int How many frames to skip for next time-frame. Lower the number, slower will be the calculation. helical : bool If ``helical=True``, elastic matrix for **helical base-step** parameters are calculated. Otherwise, by default, elastic matrix for **base-step** parameters are calculated. unit : str Unit of energy. Allowed units are: ``'kT', 'kJ/mol' and 'kcal/mol'``. outFile : str Output file in csv format. Returns ------- time : numpy.ndarray 1D array containing time values of shape (nframes). Elasticities : OrderedDict A ordered dictionary of 1D arrays of shape (nframes). The keys in dictionary are name of the elasticity in the same order as listed above. e.g. ``Elasticities['shift']`` will give elasticity along shift parameters as a function of time. """

        if helical:
            props_name = helical_local_props_vector
        else:
            props_name = local_props_vector

        time, elasticity = [], OrderedDict()
        for name in props_name:
            elasticity[name] = []

        length = len(self.dna.time[:])
        for i in range(frameGap, length, frameGap):
            mean, esy_t = self.calculateLocalElasticity(bp, frames=[0, i], helical=helical, unit=unit)
            esy_t = matrixToVector(esy_t)
            for p in range(len(props_name)):
                elasticity[props_name[p]].append(esy_t[p])
            time.append(self.dna.time[i])

        # Write output file
        if outFile is not None:
            with open(outFile, 'w') as fout:
                fout.write('#Time')
                for name in props_name:
                    fout.write(', {0}'.format(name))
                fout.write('\n')
                for t in range(len(time)):
                    fout.write('{0:.3f}'.format(time[t]))
                    for name in props_name:
                        fout.write(', {0:.5f}'.format(elasticity[name][t]))
                    fout.write('\n')

        return time, elasticity