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Integration by parts is often used in harmonic analysis, particularly Fourier analysis, to show that quickly oscillating integrals with sufficiently smooth integrands decay quickly. The most common example of this is its use in showing that the decay of function's Fourier transform depends on the smoothness of that function, as described below.
Sensory integration dysfunction: An SPD nosology proposed by Miller LJ et al. (2007) [1] Specialty: Psychiatry, occupational therapy, neurology: Symptoms: Hypersensitivity and hyposensitivity to stimuli, and/or difficulties using sensory information to plan movement. Problems discriminating characteristics of stimuli. Complications
The communication within and among these specialized areas of the brain is known as functional integration. [3] [4] [5] Newer research has shown that these different regions of the brain may not be solely responsible for only one sensory modality, but could use multiple inputs to perceive what the body senses about its environment.
A woman exercising. In physiology, motor coordination is the orchestrated movement of multiple body parts as required to accomplish intended actions, like walking.This coordination is achieved by adjusting kinematic and kinetic parameters associated with each body part involved in the intended movement.
Body schema is an organism's internal model of its own body, including the position of its limbs. The neurologist Sir Henry Head originally defined it as a postural model of the body that actively organizes and modifies 'the impressions produced by incoming sensory impulses in such a way that the final sensation of body position, or of locality, rises into consciousness charged with a relation ...
Multisensory integration, also known as multimodal integration, is the study of how information from the different sensory modalities (such as sight, sound, touch, smell, self-motion, and taste) may be integrated by the nervous system. [1]
In the study of ordinary differential equations and their associated boundary value problems in mathematics, Lagrange's identity, named after Joseph Louis Lagrange, gives the boundary terms arising from integration by parts of a self-adjoint linear differential operator. Lagrange's identity is fundamental in Sturm–Liouville theory.
Functional integration is the study of how brain regions work together to process information and effect responses. Though functional integration frequently relies on anatomic knowledge of the connections between brain areas, the emphasis is on how large clusters of neurons – numbering in the thousands or millions – fire together under various stimuli.