This because the level curve
E(x, y) = G([alpha]) = G([beta]) works precisely as the energy line E(x,y) = G(-[bar.x]) = G([bar.x]) considered before.
where [delta] is the univariate Dirac function, H is the Heaviside function, [L.sub.a] ([[empty set].sub.[mu]])is the length of the zero level curve
, [A.sub.g]([[empty set].sub.[mu]]) is used to speed up curve evolution which is the weighted area of the subregion, and g is the fuzzy edge indicator function:
In particular, the policyholder's utility as a function of the investment policy, [alpha], along the insurer's level curve
, [U.sub.IN] ([alpha], p) = [[gamma].sub.IN], is strictly quasi-concave.
The range starts with the entry level Curve
Basic and goes all the way through to high performance Prime and Pro models.
where the first term is the internal energy of [phi] that characterizes the deviation of the level set function from a signed distance function, [alpha] > 0 is the weight of this internal energy term, the second term computes the length of the zero level curve
of [phi], g is the edge indicator function defined by (1), [delta] is the univariate Dirac function, H is the Heaviside function, and [beta] 0 is the weight of the second term.
Let h(u, v) = (au, bv), if ([bar.u], [bar.v]) [member of] [[gamma].sub.1], where [[gamma].sub.1] is the level curve
of W = [phi](r).
For a fixed h, the level curve
H([phi], y) = h defined by (11) determines a set of invariant curves of system (10) which contains different branches of curves.
A new Holocene relative sea level curve
for the South Shetland Islands, Antarctica.
For example, the curvature of [f.sub.4] = c is actually 0 on the y-axis; the maximum is attained instead as the level curve
crosses x = [+ or -] [ay.sup.4/3] + ..., a [not equal to] 0 a certain constant.
Blake Emery, director of differentiation strategy at Boeing Commercial Airplanes, says the US airframer observed a "knee" in the comfort level curve
of its climatic chamber studies with the University of Oklahoma at around 6,000ft, above which symptoms such as headaches and muscular aches appeared.
This concept especially as applied to deep overbite patients, has been supported by others9 and produces variable results with regards to maintaining a level curve
after treatment.4,10 It has been suggested that the deciduous dentition has a curve of Spee ranging from flat to mild, whereas the adult curve of Spee is more pronounced.11 The development of curve of Spee probably results from combination of factors including eruption of teeth, growth of orofacial structures, and development of neuromuscular system.12
Sketch the graph of f(x,y) = [y.sup.2] - [x.sup.2] and sketch some level curve
. The graph of f is the hyperbolic paraboloid.