Sentence examples for embedding up from inspiring English sources

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In contrast, if the periodicity is lost, because of lack of compactness of the Sobolev embedding, up to our knowledge, all existence results require a coercivity condition on L: lim | n | → ∞ [ inf x ∈ R N, | x | = 1 ( L ( n ) x, x ) ] = ∞.

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Last year, Hewlett-Packard began a project it grandly calls "Central Nervous System for the Earth," a 10-year initiative to embed up to a trillion pushpin-size sensors around the globe.

The colonized quartz stones reached up to a maximum depth of 20.1 mm within the soil, whereas uncolonized pebbles were embedded up to 15.9 mm (Figure 2C).

Each user can set up to ten pin boards (folders) and embed up to 1,000 Post-its ("cards") to scrape, organize and share various information.

A frame with (w times h) size can be embedded up to ((w times h))/((8 times 8)) bits (each bit is embedded in to a 8 (times ) 8 block) in the proposed method.

Moreover, the total pullout work of the 3DH2 fibres embedded up to half fibre length (LE = 30 mm) is roughly five times that the 3DH1 fibres (LE = 15 mm).

Sound premolars extracted for orthodontic reasons were embedded up to their cervical area in a polyvinylsiloxane putty, creating four groups of four teeth with three interproximal areas each (mesial/distal).

In order to simulate intraoral stripping conditions, four teeth were embedded up to their cervical region in an addition-type polyvinylsiloxane putty impression material (Aquasil Putty, Dentsply/Detrey, Konstanz, Germany), creating thus an arch with three interproximal contact areas.

These heterogeneous materials are able to embed up to 75 wt% of (EG 11DME, preserving high mechanical stability, showing ionic conductivities around 10−4 S/cm at 25°C and cationic transference numbers t+≈0.55.

It is worth noting that in these experiments the minimum error probability is approximately, that corresponds to the correct detection of all the watermark samples embedded up to 32 kHz, which is the sampling frequency of the audio tracks compressed by LAME for the considered bit-rates.

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