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Homing pigeons use olfaction as part of their navigation system, apparently depending on trace amounts of gases.
This gives us two possible path matches, which can be different or exactly the same, depending on trace and map complexity.
We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results.
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Increasingly, new discoveries in social science are based on analysis of massive collections of data that areis generated as a result of people's public communications, and depends on tracing these actions and their consequences over time.
Subsequent research in the philosophy of the social sciences has provided substantial support for historical explanations that depend on tracing a series of causal mechanisms (Hedström and Swedberg 1998).
Finding out how this works, however, depended on tracing the connections, or "projections," from the stimulated neurons.
This figure varies widely depending on the trace.
This forms patterns of various colors, stripping hills depending on the trace minerals within each layer of sediment.
However, depending on the trace, the periodicity with the period of 24 h can also be hidden.
Using the generalized Schwarz inequality, we present some lower bounds for the Frobenius condition number of a positive definite matrix depending on its trace, determinant, and Frobenius norm.
The AXS consists of pyroelectric X-ray generators and a Silicon Drift Detector to conduct X-Ray Fluorescence spectroscopy (XRF) on the Moon to measure major elements: Mg, Al, Si, Ca, Ti, and Fe; minor elements: Na, K, P, S, Cr and Mn; and the trace element Ni depending on their concentration.
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