Yours sparkle blue
His pen gets excited
Girl, thinking of you
You're an ocean apart
The realist would say
But the pure romantic
Sees life another way
Are you really that far
You dance in his heart
Love's not about math
It's the mystery of art
Thursday, June 18, 2015
10:12 AM
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Yours sparkle blue
His pen gets excited
Girl, thinking of you
You're an ocean apart
The realist would say
But the pure romantic
Sees life another way
Are you really that far
You dance in his heart
Love's not about math
It's the mystery of art
10:09 AM
No comments
The journal also publishes studies that explore the use of a variety of teaching and learning
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10:05 AM
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“I’m excited to use the award to continue our interdisciplinary research efforts to understand human epilepsy,” says Kramer, a associate professor of mathematical neuroscience. “We’ll use the award to build and analyze mathematical models of the human brain’s activity during a seizure. It’s a highly collaborative effort, which would not be possible without the support of my fantastic colleagues in the department and amazing collaborators at Harvard and Massachusetts General Hospital.”
Epilepsy, the condition of recurrent, unprovoked seizures, is a brain disorder that affects nearly three million people in the United States, according to the Centers for Disease Control and Prevention. The brain processes that cause seizures are poorly understood, and in one-third of patients with epilepsy seizures are not adequately controlled. Kramer says he hopes his research will lead to novel approaches in management of epilepsy. Each year, the NSF gives out about 20 CAREER awards in the mathematical sciences nationally to tenure-track assistant professors (Kramer was promoted to associate professor after he applied for the award). The other two CAREER winners are both now associate professors, Sam Isaacson, who won one of the awards in 2013, and Uri Eden, who received one in 2011.
“Mark is an outstanding young colleague who is recognized internationally for his pioneering research in mathematics and neuroscience,” says Tasso Kaper, a CAS professor and department chair. “He addresses fundamental questions about brain rhythms, the onset of epileptic seizures in humans, the dynamics of networks of neurons in the cortex, as well as precursors to Alzheimer’s disease. His modeling work for these pressing biological and medical problems has led to important advances in the mathematical sciences, including for dynamical systems, differential equations, and statistics.” Kramer takes a multidisciplinary approach, Kaper adds, “working on joint research grants with medical researchers and biomedical engineers.”
Kramer’s description of his project for the NSF notes that while animal studies provide “powerful methods to uncover the potential mechanisms for epilepsy, how the results from these studies relate to human epilepsy remains unclear.” And while some mechanisms of epilepsy may be consistent in animal models and humans, he says, there are also differences that are critical to understanding and treating the disorder.
To improve understanding of the mechanisms behind human seizures, he will analyze brain voltage recordings made directly from human patients and use that data to develop mathematical models of the activity of individual brain neurons and interacting neurons. Further from his NSF project description: “The mathematical models will then be used to study the biological mechanisms that support the different brain voltage rhythms that appear during seizure and how these rhythms move across the surface of the brain.”
Kramer is exceptionally gifted at explaining his field, Kaper says, and he will incorporate his research on the mechanisms of seizures into an undergraduate course in computational neuroscience, a textbook and online course in neuronal data analysis, and undergraduate and graduate research training in computational neuroscience.
10:02 AM
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Historically, it was regarded as the science of quantity, whether of magnitudes (as in geometry) or of numbers (as in arithmetic) or of the generalization of these two fields (as in algebra). Some have seen it in terms as simple as a search for patterns.
During the 19th Century, however, mathematics broadened to encompass mathematical or symbolic logic, and thus came to be regarded increasingly as the science of relations or of drawing necessary conclusions (although some see even this as too restrictive).
The discipline of mathematics now covers - in addition to the more or less standard fields of number theory, algebra, geometry, analysis (calculus), mathematical logic and set theory, and more applied mathematics such as probability theory and statistics - a bewildering array of specialized areas and fields of study, including group theory, order theory, knot theory, sheaf theory, topology, differential geometry, fractal geometry, graph theory, functional analysis, complex analysis, singularity theory, catastrophe theory, chaos theory, measure theory, model theory, category theory, control theory, game theory, complexity theory and many more.
5:35 AM
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One hundred green-eyed logicians have been imprisoned on an island by a mad dictator. Their only hope for freedom lies in the answer to one famously difficult logic puzzle. Can you solve it? Alex Gendler walks us through this green-eyed riddle.
Saturday, May 30, 2015
11:19 AM
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11:15 AM
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