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Therefore, we decided against using several joint-specific questionnaires, and derived a new scale from two existing, validated questionnaires [ 28, 29].

We introduced a novel combined structured sparsity regularization to integrate heterogeneous imaging genetics data, and derived a new efficient optimization algorithm to solve our non-smooth objective function and followed with the rigorous theoretical analysis on the global convergency.

To confirm the presence of the organism-specific signal, we took peptides from all the organisms and shuffled the positions of their amino acids randomly, and derived a new similarity matrix as mentioned in the method section which we clustered in CLANS [ 20]. Figure 2A shows the results from this test, where one can notice the taxonomic specific separations were completely lost.

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We study families of time-frequency localization operators and derive a new characterization of modulation spaces.

We study further (E) and derive a new sufficient oscillation condition, involving limsup, which essentially improves all the previous results.

As applications, we deduce some new Simpson Spector-type inequalitieSimpson Spector-type and derinequalitiespe oforounds (p+rsqrt {x^{2}+q^{2}}) ((r>0)) for (W_{v} ( x ) ).

We then merge these two formalisms by introducing polar coordinates in Levi-Civita space and derive a new equation for satellite orbits which unifies these two paradigms.

Barbara McArthur, a research astronomer at the University of Texas, Austin, says she plans to collect recent data and derive a new parallax for Polaris B, a companion star to Polaris thought to be about the same distance from Earth.

In this paper, we use 22 months of Swarm measurements and derive a new lithospheric field model by applying a procedure that was developed during the preparation phase of the Swarm mission (Thébault et al. 2013).

This study analytically cross examines the consistency among available zero-dimensional material balance equations (MBEs) for liquid-rich gas equations and derive a new simple yet rigorous MBE starting from governing equations applicable to these systems.

First, we reformulate the model system of pulse wave propagation using a set of Riemann variables and derive a new form of boundary conditions at the inlet, the outlets, and the bifurcation points of the arterial tree.

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