Sentence examples for continuous frame from inspiring English sources

As a byproduct we show that a Riesz type continuous frame doesn't exist unless the measure space is purely atomic.

For the AO application, very high continuous frame rates of the order of 1kHz are required for a matrix of 512×512 pixels.

For a family A⊆L2(G), this classification ties with a set of conditions under which the translations of A by H form a continuous frame or a Riesz sequence.

Outside of the group setting, we consider a more general problem: for a measure space X and a Hilbert space H, we investigate conditions under which a family of functions in L2(X H) multiplies with a basis-like system in L2(X) to produce a continuous frame or a Riesz sequence in L2(X H).

At the same time, the serial number of the frames can be adopted to distinguish the position of the frames with motion changing, that is, the continuous frame sequence such as frames 5 and 6 can mean that high motion occurs.

The continuous frame rate tells you how many photographs the camera can take per second; for a camera used for fast-paced situations, this number should be at least five frames per second.

In this paper we focus on continuous frames and continuous framings (alternatively, integral reconstructions) for Banach spaces by the means of g-Köthe function spaces, in which the involved measure space is σ-finite, positive and complete.

Continuous frames of steel or reinforced concrete fall between these extremes in their seismic response, and they can be designed to survive with relatively little damage.

The geometric derivation is then extended in the setting of generalized or continuous frames.

Like continuous frames, these frames can be used in the areas where we need generalized frames in a continuous aspect.

Actually, continuous frames motivate us to introduce this kind of frames and analogous to continuous frames which are a generalized version of discrete frames, we want to generalize pg-frames in a continuous sense.