Figure 2. The trajectories of CM, NAG, and SGD are shown. Although the value of the momentum is identical for both experiments, CM exhibits oscillations along the high-curvature directions, while NAG exhibits no such oscillations. The global minimizer of the objective is at (0,0). The red curve shows gradient descent with the same learning rate as NAG and CM, the blue curve shows NAG, and the g...

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measurement of chlorophyll fluorescence is noninvasive, highly sensitive, fast and easy way to give important information about the photosynthetic apparatus. chlorophyll fluorescence parameters and kautsky curves of wild oat and wild mustard sprayed by clodinafop and dicamba+2, 4-d respectively was investigated at two green house experiments. the results indicated significant reduction at trend...

many epidemiological studies have found that people living in environments with more green space report better physical and mental health than those with less green space. however, the association between visits to green space and mental health has seldom been studied. the environment surrounding residences and its recreational and commuting opportunities are believed to affect human health and...

Using lattice theory on specialK3 surfaces, calculations on moduli stacks of pointed curves and Voisin’s proof of Green’s Conjecture on syzygies of canonical curves, we prove the Prym-Green Conjecture on the naturality of the resolution of a general Prym-canonical curve of odd genus, as well as (many cases of) the Green-Lazarsfeld Secant Conjecture on syzygies of non-special line bundles on gen...

in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.