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However. as the X-ray spectrum can be considered more or less as an exponential tail to the full spectrum. a tiny shift in effective temperature or surface gravity can have a large effect to the X-ray spectrum. | However, as the X-ray spectrum can be considered more or less as an exponential tail to the full spectrum, a tiny shift in effective temperature or surface gravity can have a large effect to the X-ray spectrum. |
For this reason the X-ray spectra need to be caleulated with care. | For this reason the X-ray spectra need to be calculated with care. |
A potential important effect for the radiative transfer of X-ray photons in the white dwarf atmosphere is Compton scattering. | A potential important effect for the radiative transfer of X-ray photons in the white dwarf atmosphere is Compton scattering. |
This was first indicated by ?. for the case of HZ 43A. Hard X-ray photons scatter many times before they reach the surface of the star. and the combined effect of all the collisions with relatively cool electrons can cause a significant energy loss for these photons. and therefore a softening of the high-energy tail of the spectrum. | This was first indicated by \citet{madej1998} for the case of HZ 43A. Hard X-ray photons scatter many times before they reach the surface of the star, and the combined effect of all the collisions with relatively cool electrons can cause a significant energy loss for these photons, and therefore a softening of the high-energy tail of the spectrum. |
This effect is most noticeable at wavelengths smaller than 100A. | This effect is most noticeable at wavelengths smaller than 100. |
. However. recently ? showed using a more sophisticated calculation that for both HZ 43A and Sirius B Compton scattering can be completely ignored. | However, recently \citet{suleimanov2006} showed using a more sophisticated calculation that for both HZ 43A and Sirius B Compton scattering can be completely ignored. |
Therefore. in the present calculations we will also ignore Compton scattering. | Therefore, in the present calculations we will also ignore Compton scattering. |
When we compared our calculations. in detail with the calculations of ?. (see Sect. | When we compared our calculations in detail with the calculations of \citet{beuermann2006} (see Sect. |
5.5. for more details). we got a good agreement for HZ 43A but large differences for Sirius B in the EUV/X-ray band. | \ref{sect:comparebeuermann} for more details), we got a good agreement for HZ 43A but large differences for Sirius B in the EUV/X-ray band. |
A detailed investigation of the problem showed that the differences are due to the treatment of the Lyman pseudo-continuum. | A detailed investigation of the problem showed that the differences are due to the treatment of the Lyman pseudo-continuum. |
The experimental constraints on neutrino parameters al 1. 2 and 3o [L8) are given below: The observation of neutrinoless double beta (NDB) decay would signal lepton number violation and imply Majorana nature of neutrinos. for recent reviews see [19.20]. | The experimental constraints on neutrino parameters at 1, 2 and $\sigma$ \cite{18} are given below: The observation of neutrinoless double beta (NDB) decay would signal lepton number violation and imply Majorana nature of neutrinos, for recent reviews see \cite{19,20}. |
. The effective Majorana mass ol the electron neutrino M, which determines (he rate of NDB decay is given by Part of the Heiclelbere-Moscow collaboration claimed a signal in NDB decay corresponding to AL,=(0.11âO0.56)eV at 95%. C. EL. [21]. | The effective Majorana mass of the electron neutrino $M_{ee}$ which determines the rate of NDB decay is given by Part of the Heidelberg-Moscow collaboration claimed a signal in NDB decay corresponding to $M_{ee} = (0.11 - 0.56) eV$ at $\%$ C. L. \cite{21}. . |
This claim was subsequently criticized in |22]. | This claim was subsequently criticized in \cite{22}. |
. The results reported in (21) will be checked in the currently running and forthcoming NDB experiments. | The results reported in \cite{21} will be checked in the currently running and forthcoming NDB experiments. |
Thereare large number of projects such as CUORICINO([23].. CUORE [24].. GERDA 25]. MAJORANA [26].. SuperNEMO [27].. EXO [23].. GENIUS [29] which aim lo achieve a sensilivily upto 0.01eV for M. | Thereare large number of projects such as \cite{23}, , CUORE \cite{24}, GERDA \cite{25}, MAJORANA \cite{26}, SuperNEMO \cite{27}, EXO \cite{28}, GENIUS \cite{29} which aim to achieve a sensitivity upto 0.01eV for $M_{ee}$. |
In the present work. we take the upper limit ÎżáŒ± AL, to be 0.5 eV. [20]. | In the present work, we take the upper limit of $M_{ee}$ to be 0.5 $eV$ \cite{20}. |
. We vary the oscillation parameters within their known experimental ranges. | We vary the oscillation parameters within their known experimental ranges. |
However. the Dirac-tvpe CP-violating phase 9 is varied within its full range. | However, the Dirac-type CP-violating phase $\delta$ is varied within its full range. |
The two values of m4 obtained from the mass ratios p and Ï. respectively must be equal to within the errors of the oscillation parameters for the simultaneous existence of (wo vanishing vanishing nimors in Ad,. | The two values of $m_1$ obtained from the mass ratios $\rho$ and $\sigma$, respectively must be equal to within the errors of the oscillation parameters for the simultaneous existence of two vanishing vanishing minors in $M_\nu$. |
The first step in the numerical analvsis uses the information of the (vo known nass squared differencesalong wilh the constraint of two zero minors and large M, (o gel predictions for the mixing angles. | The first step in the numerical analysis uses the information of the two known mass squared differencesalong with the constraint of two zero minors and large $M_{ee}$ to get predictions for the mixing angles. |
It is found that both the classes D; ancl Dg predict a near naximal atmospheric mixing angle while the other (wo mixing aneles remain unconstrained. | It is found that both the classes $B_5$ and $B_6$ predict a near maximal atmospheric mixing angle while the other two mixing angles remain unconstrained. |
âŽâââČââ§âŽâââȘâââœââœâ»ââŒâČââ
ââșâąâââââžâââžâââ§âŽââžââ„âŒâČâŁâ„âââ°âââȘâââŒâČââââ„âȘâââœââ§âŽââ
âŒââłââœâŒ //4 with increasing M, as seen in Fig.(1) âŻâȘââ
âșâąâ„ââ§ââââłââââœâłâââ§âŽââșâââžââ
âââââŻâȘââ
âșâąâ„ââ§âȘâ | The atmospheric mixing angle $\theta_{23}$ moves towards $\pi/4$ with increasing $M_{ee}$ as seen in Fig.(1) for class $B_5$ and Fig.(2) for class $B_6$. |
âœâłââœââĄâ
â
â
âŽâșâââłââœâșâąâ„ââ§âȘââœâłâââŒâČâłââœââœâłâââ§âŽââŒâââȘâȘââââœâȘââœââ§âŽââ„âłââœââââžââââââȘââ
âłââœââââȘâŁâ â„ââ§âŽâââ
ââ§âŽââĄââœââœâ»ââ
âŒâČâșââșâąâ„ââ§âŽââŒâČââ§âŽââ
ââââ§âŽââžâââŻâŽ | Thus classes $B_5$ and $B_6$ of two vanishing minors in $M_\nu$ naturally predict a near maximal atmospheric mixing angle. |
â„ââ§âŽâââȘâââœââœâ»ââŒâČââ
ââșâąâââââžâââžâââ§âŽââžââ„âŒâČâ
âŽâșââŒâČââââŒâČâșâąâȘââŒââââœâ©âČââœâ»â„âââŽâłâœâŒâČââââââ„âȘâŻâąâșâąâȘâââ„âââČâŒâČââžââœâ»âŒâČââ
ââââČââ„ââ§âŽâ„ââââœâ»ââ„âȘââââČâââ
âŒâČâŒâČââââžââââșâœââŽââ§âŽââžâ | Thesecond step takes into account the experimental input on the three mixing angles including the recent T2K results on the reactor mixing angle. |
â„âŒâČâââœâââșâąâ„âŻâââžâœâ⎠âââČââ
âŒâČâșâąâŒâČââ„âŽâșââââœââ
âŒâČâââœâââââœâȘââââČââ
âŒâČââ§âŽâșâąâ„âȘââ
âââââžâââžâœââŽâââŽââžââ„â©â
âŽâșâ„ââČââ
âŒâČâââœâ | The results for $\theta_{23}$ are plotted in Fig.(3) for class $B_5$ and Fig.(4) for class $B_6$ . |
ââââœââ¶âȘââ
âŁâ„ââźâ°ââŻâČââœâ»â„âȘââŒâČâșââââžââ
ââĄââ°ââ ââŻâȘââ
âșâąâ„ââ§âââœâłââœââŽââ§âŽââŒâââžââ
âŒââ„âââŻâȘââ
âșâąâ„ââ§âȘââ±ââœââĄâ
â
â
ââŻâČâ„âȘâââČââ
âŒâČâ„ââ§âŽâââœâŒâČâ„âĄâââ„ââ§âŽââ
âžââŒâČââœââ§âŽâ„âŻâČâȘââĄâŁâ„ââ¶â°â
âââČâââ
ââ§âŽâșâąââ„âĄââœââœâ»âŒâČâŒââČâ⎠ââââȘâ„ââ§âŽâââ„âžâââœâ»âââ§ | Due to the relatively large value of $\theta _{13}$, the Dirac-type CP violating phase is almost fixed near $\pi/2$ or $3\pi/2$ predicting almost maximal CP violation for these textures. |
âââœâŒâČââââœââ§âŽâââȘâłâââ„âââââžâŒâČâșâââŒâČâââ
âŒâââââȘââ
ââœâ°âŒââââââœâ»ââ
âŒâČâșââșâąâââžâââ§âŽâââȘâłââœâ„ââââ§âŽââžâââââ§âŽâââČâ„âŽââœââȘâ„ââ§âŽââȘââââȘââ
âââČâłâââŒâČâ„âŒâČââžâââ
âŒâČâłââœâ
ââžââ
âââ±â»ââââ§âŽââŒââĄâžââ
âŒââșâšâââłââœââȘâââœâââČâșâą | Fig.(5) and Fig.(6) show the correlation between the two Majorana-type phases and $M_{ee}$ : the phases $\alpha$ and $\beta$ approach zero with increasing $M_{ee}$ . |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
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âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
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âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
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âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
â | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââș | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâą | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽâ⥠| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄââ⌠| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâł | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłââââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ© | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâș | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§â | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§ââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§ââ✠| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâł | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłâââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłâââââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
â | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââș | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâą | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâł | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłâ✠| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœâ⯠| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
â | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
ââ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČâ✠| As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČââœâ» | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČââœâ»â | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČââœâ»ââ§ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČââœâ»ââ§âŽ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
âȘââ
ââ
âŒâČâ„ââ§âŽââȘââŁâœâ»âŒâČâ„âââœâŒâČâŒâČââââČâ„âââœâȘâââââ§âŽââżâŒâ»ââ
ââ§âŽâââ§âŽââ„âĄââœââœâ»âŒâČââœâ»âââ§âȘââœâŒâČâłââ ââ§âŽââșâââȘââ¶âââČââœâ»âââ§âââœâŒâČâłâââŁâœâââ§âŽââșââœâłâŸââ§âŽââœâ»ââœâ»ââ
âȘââ§âŽâșâąââ âŒâČââ
âȘâââœâ„ââ„âââșâąââ
âŒâČââ§âȘââœâââžâââȘââ
âŒââłââââ§âŽââŒâČââžââ§âŽââââœâ»â„âŒâČâ
âââœâŒâČâââœââ
ââŒâČ âââČâââââČââ
ââșâąââ§âŽââĄâââŒâČâłâââââââ§âŽâ©âČâșâââââ§âââœâłââââââ§âŽââ
ââșâąâŒâČâłââœââŻâȘââ
âââČââœâ»ââ§âŽâ | As an example, wewrite the numerically estimated mass matrices for thepattern $B_5$ , the matrices are obtainedfor the |
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