Sentence examples for form defined from inspiring English sources

It is mighty in its delicacy, a tiny form defined by a trickle of white frosting spun in a spiral from its mouth to the tip of its tail.

Attention flows naturally to the outrageous, the harrowing, the intimate, and the recognizable, and the online personal essay began to harden into a form defined by identity and adversity — not in spite of how tricky it is to negotiate those matters in front of a crowd but precisely because of that fact.

While reminding us of the worst of the war-torn world we live in, Marra finds sustainable hope in the survival of a very few, and in the regenerative possibility of life in its essential form, defined by a medical textbook passage that Sonja and Natasha read at different times.

for any differential form defined in.

Lemma 2.1Letube a smooth differential form defined inMand 1 < s < ∞.

Let be a bounded sesquilinear form defined in by (2.19).

Let be a bounded sesquilinear form defined in and satisfying Gårding's inequality: (2.1).

Consider a normalized null hypersurface ((M,g,N) ) and 1-form defined by (17).

Example 5.2 Let u ( x, y, z ) be a 1-form defined in R 3 by u ( x, y, z ) = 2 3 π ( arctan y x − 1 d x + arctan y x + 1 d y + arctan z x 2 + 1 d z ).

In singleton feature search for a form-defined target, the presentation of a task-irrelevant, but salient singleton color distractor is known to interfere with target detection [Theeuwes, J. (1991). Cross-dimensional perceptual selectivity. Perception & Psychophysics, 50, 184 193; Theeuwes, J. (1992). Perceptual selectivity for color and form. Perception & Psychophysics, 51, 599 606].

For noncompactMthe statement isσk⩾|&0Hgr;| Σ k/|&0Hgr;|) whereΣis a renormalized eigenvalue sum function forM defined using the spectral resolution ofΔonM).