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Using a branch of mathematics called game theory, scientists can figure out if natural selection will favor a strategy over all others, or if it brings them into a stable balance.
The breakthroughs in these subfields were themselves mostly realized using a branch of machine learning called deep learning (LeCun et al., 2015), which builds on artificial neural networks that can be constructed in such a way as to learn rapidly from large amounts of data to correctly map an input (such as an image or a sentence) to an output (such as a diagnosis or a sentiment).
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Dr Hoyal Cuthill and Dr Conway Morris used a branch of maths called Lindenmayer systems to turn this suggestion into a model.
The question is, how can the sacrificer be sure that will happen?Dr Axelrod used a branch of maths called game theory to come up with at least part of the answer.
But the second technique, which used a branch of mathematics called Bayesian logic, was able to make sense of the fifth branch, at the expense of collapsing the other four into a single group and adding a further seven Asian and African breeds to it.
To look for patterns in the sequence of lightning strikes, Yair and colleagues used a branch of mathematics called network theory--an approach often used to analyze connections between people.
Radiologist Robert Gatenby has used a branch of mathematics known as catastrophe theory, previously used to study things like bridge collapses, to examine why tumors often come roaring back after first responding to chemotherapy.
For each topology, the likelihood surface was sampled using a branch length interval of 0.001 across a range of values giving significant likelihood.
To further evaluate this unpredicted overestimation, we repeated this analysis using a branch length prior with a mean of 1.4.
To evaluate the impact of constraint on tests for positive selection, we simulated sequences using a branch-site model of evolution using Evolver from the PAML package (Yang 2007).
Alternatively, 20% of neurons that normally exhibit axon branching phenotypes may be operating using a branching mechanism independent of O-GlcNAc regulation and thus unresponsive to increases in O-GlcNAc levels.
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CEO of Professional Science Editing for Scientists @ prosciediting.com