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Mathematical Concepts (9)
Articles on Mathematical Concepts
A mathematical model of weight change with adaptation.
The mental number line modulates visual cortical excitability
We used transcranial magnetic stimulation (TMS) to investigate whether this attentional modulation influences excitability of the early visual cortex. By using the phosphene threshold as a measure of visual cortical excitability, we show (in 10 subjects) that number priming modulates excitability of...
Nonabstract representation for number - evidence from event-related potentials.
We investigated whether the mental representation of numbers was abstract amodal or modality-dependent by taking N270 as an index, the amplitude that represents the conflict between internal representation and perceptual input. Participants were instructed to justify whether the magnitude of the sec...
Animals by the numbers.
Neural correlates of arithmetic calculation strategies.
We examined cortical activation as a function of two different calculation strategies for mentally solving multidigit multiplication problems. The school strategy, equivalent to long multiplication, involves working from right to left. The expert strategy, used by "lightning" mental calculators (Sta...
Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple viruses.
We develop here a mathematical framework based on affine extensions of the icosahedral group that allows us to describe those aspects of the three-dimensional structure of simple viruses. This approach complements Caspar-Klug theory and provides details on virus structure that have not been accessib...
Origin of the Mind
Numerical representation in the parietal lobes: abstract or not abstract?
We discuss and challenge the claim that numerical representation is abstract. We discuss the principles of cortical organisation with special reference to number and also discuss methodological and theoretical limitations that apply to numerical cognition and also to the field of cognitive neuroscie...
Sympathetic neural responses to mental stress during acute simulated microgravity.
Gender differences in the functional and structural neuroanatomy of mathematical cognition
We used fMRI to compare brain responses in 25 females and 24 males during a mental arithmetic task involving 3-operand addition and subtraction. We also used voxel-based morphometry (VBM) to examine gender differences in brain structure. Although females and males did not differ in accuracy or respo...