"We then write specific scenes on index cards and pin them to the corkboard".
If (Plesssim Qlesssim P), we then write (Psim Q).
Symbolically, we then write (lim_{nrightarrow infty} x_{n}=x).
If (Dlesssim F) and (Flesssim D), we then write (Dsim F).
If λ n = n for all n, we then write x k → 0 S ( Δ ( u ) ).
If there exists a constant (C>0) depending only on ϑ such that (Aleq CB), we then write (Alesssim_{vartheta}B) or (Bgtrsim_{vartheta}A); and if (Alesssim_{vartheta}Blesssim_{vartheta}A), we then write (Athicksim_{vartheta}B).
We then write head as an infinite series whose terms h(n) represent head of nth order in terms of σY, the standard deviation of Y, and derive a set of recursive equations for h(n).
More generally, we allow α m to be smooth but still supported in H m. We then write α = { α m }, and we say that α ∈ C k ( H ), if α m ∈ C k ( H m ), ∀ m.
Note that inverting for s instead of σ also constrains the solution to be positive, since solving Eq. (43) for σ yields (44)We then write s for each layer as a sum of spherical harmonics, (45 with p and q being degree and order of the spherical harmonics and being Schmidt quasi-normalized associated Legendre polynomials.
Seligman further recommends that we then write out the consequences of those beliefs, the toll they take on our emotions, energy, will to act, and the like.
We then write a little blurb about why we are thankful for that person and then send it to them in an envelope for them to open on Thanksgiving when all the rest of the family is together.
