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This has mathematical implications for sleep transition modeling.
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A discussion is presented in this paper of both physical and mathematical implications of this fact.
There are several methods for this, with varying theoretical and mathematical implications, and the choice is dependent on the task in hand.
The exponential function fit only considered the mathematical implications, but not the practical significance.
This change has the very important mathematical implication that the appropriate independent variables are S and V in place of T and V, respectively, for internal energy.
We include a discussion of the pathways for water and glycerol permeation through the cell membrane and the implications for mathematical modeling of the membrane transport process.
Thus, the present mathematical model provides important implications for designing new therapeutic strategies that aim to restore antitumor immunity by targeting MDSCs.
The use of congruent gestures helps to construct better mental representations and mental operations to solve mathematical problems, which has implications for the ways that digital interfaces can be designed.
Implications for understanding mathematical development and designing early mathematics instruction are discussed.
Informal evolutionary thinking about antibiotic resistance has been replaced by rigorous mathematical models that have major implications for public health.
A discussion of these findings and their potential impact on improving students' mathematical problem-solving skills, along with implications for further research, follows.
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