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Exact(4)
It has no components perpendicular to it.
Also, if we interchange Z by PZ in (22), then we have (g(A_{FPZ}{X}, Y)=0), i.e., (A_{FPZ}{X}) also has no components (TM_T).
He argues that the achievement of unified consciousness by a system of components acting together would be no more or less mysterious than its being achieved by something that is simple, i.e., has no components (1781, A352).
If (M=M_{T}times _{f}M_{theta }) is a warped product submanifold of a Kenmotsu manifold (tilde{M}) such that (M_T) is an invariant submanifold and (M_theta ) is a proper slant submanifold of ({tilde{M}}), then from (22), we have (g(A_{FZ}{varphi X}, Y)=0), for any (X, Yin varGamma (TM_T)) and (Zin varGamma (TM_theta )), i.e., (A_{FZ}{varphi X}) has no components in (TM_T).
Similar(56)
Generalizations of the adapted rotation-minimizing frames, for which the angular velocity has no component along the tangent, to directed and osculating frames (with analogous properties relative to the polar and binormal vectors) are also discussed.
And as can be seen from Eq. (9a), |Ψ II 〉 has no component of state |1〉.
The network of social sciences is an exception, which even has no component containing more than 10% authors.
It is clear that the flux (overline {mathbf {V}^ p^) in (17b) has no component normal to the zonal boundaries.
From Eq. (7a), the state |Ψ II 〉 has no component of the state |1〉 either, so it does not arouse the stimulated emission from state |1〉 to state |0〉 in step II.
Since the hairpins and their stretched tails are strictly located in the flow-vorticity plane, they have no components in the gradient direction that cause the shear stress, which results in strain softening.
In contrast, pure MC had no components of HCC, although pathological features of pure MC resembled those of MC components in the combined carcinomas [2, 4 9].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com