Tensor Tapestries

A beautiful equation, assembling the four equations of Maxwell in a compact unique equation.

A beautiful equation, assembling the four equations of Maxwell in a compact unique equation.

White matter fibres overlaid a mri scan and a female head. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain. The fibres transmit nerve signals between brain regions and between the brain and the spinal cord. Diffusion spectrum imaging (DSI) is a variant of magnetic resonance imaging (MRI) in which a magnetic field maps the water contained in neuron fibers, thus mapping their criss-crossing patterns. A similar technique called diffusion tensor imaging (DTI) is also used to explore neural data of white matter fibres in the brain. Both methods allow mapping of their orientations and the connections between brain regions

White matter fibres. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain. The fibres transmit nerve signals between brain regions and between the brain and the spinal cord. Diffusion spectrum imaging (DSI) is a variant of magnetic resonance imaging (MRI) in which a magnetic field maps the water contained in neuron fibers, thus mapping their criss-crossing patterns. A similar technique called diffusion tensor imaging (DTI) is also used to explore neural data of white matter fibres in the brain. Both methods allow mapping of their orientations and the connections between brain regions. Data/software: NIH Human Connectome Project / www.humanconnectomeproject.org).

Diffusion tensor imaging (DTI) scan. Reconstructed brain white matter fibres of the whole brain. DTI offers a non-invasive look into how white matter, the highways of our brain, connect distant brain regions. Each fibre shown represent many thousands of actual fibres in the human brain. Colours are coded as; left to right - red, anterior to posterior - green, and superior to inferior - blue.

Diffusion tensor imaging (DTI) scan. A close-up look into the reconstructed white matter fibres of the brain. DTI offers a non-invasive look into how the white matter, or the highways of our brain, connect distant regions. Pathways shown include the uncinated fasciculus, a pathway that connects regions in the temporal lobe to the orbital and medial frontal cortex.

Diffusion tensor imaging (DTI) scan. A close-up look into the reconstructed white matter fibres of the brain. DTI offers a non-invasive look into how the white matter, or the highways of our brain, connect distant regions.

White matter fibres. Computer enhanced 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain. The fibres transmit nerve signals between brain regions and between the brain and the spinal cord. Diffusion spectrum imaging (DSI) is a variant of magnetic resonance imaging (MRI) in which a magnetic field maps the water contained in neuron fibers, thus mapping their criss-crossing patterns. A similar technique called diffusion tensor imaging (DTI) is also used to explore neural data of white matter fibres in the brain. Both methods allow mapping of their orientations and the connections between brain regions. Data/software: NIH Human Connectome Project / www.humanconnectomeproject.org).

White matter fibres. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain, depicting mirror neurons. Mirror neurons are found in the brain. They are so called because they fire when an individual carries out an action and also when an individual observes that same action being performed by another. Mirror neurons were discovered in the 1990s by researchers working with macaque monkeys. They have since been found in other primates, including humans, and some birds. It is thought these neurons could be important in social interactions, empathy and the evolution of language. Deficiencies in or of motor neurons may also be involved in brain disorders such as autism and schizophrenia.

White matter fibres. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain. The fibres transmit nerve signals between brain regions and between the brain and the spinal cord. Diffusion spectrum imaging (DSI) is a variant of magnetic resonance imaging (MRI) in which a magnetic field maps the water contained in neuron fibers, thus mapping their criss-crossing patterns. A similar technique called diffusion tensor imaging (DTI) is also used to explore neural data of white matter fibres in the brain. Both methods allow mapping of their orientations and the connections between brain regions. Data/software: NIH Human Connectome Project / www.humanconnectomeproject.org)

White matter fibres. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain, depicting mirror neurons. Mirror neurons are found in the brain. They are so called because they fire when an individual carries out an action and also when an individual observes that same action being performed by another. Mirror neurons were discovered in the 1990s by researchers working with macaque monkeys. They have since been found in other primates, including humans, and some birds. It is thought these neurons could be important in social interactions, empathy and the evolution of language. Deficiencies in or of motor neurons may also be involved in brain disorders such as autism and schizophrenia.

The definition of the electromagnetic tensor derived by working in 4 dimensions in Minkowski spacetime.

White matter fibres overlaid a 3d model of the human brain in top view. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain. The fibres transmit nerve signals between brain regions and between the brain and the spinal cord. Diffusion spectrum imaging (DSI) is a variant of magnetic resonance imaging (MRI) in which a magnetic field maps the water contained in neuron fibers, thus mapping their criss-crossing patterns. A similar technique called diffusion tensor imaging (DTI) is also used to explore neural data of white matter fibres in the brain. Both methods allow mapping of their orientations and the connections between brain regions. Data/software: NIH Human Connectome Project / www....

White matter fibres. Coloured 3D diffusion spectral imaging (DSI) scan of the bundles of white matter nerve fibres in the brain. The fibres transmit nerve signals between brain regions and between the brain and the spinal cord. Diffusion spectrum imaging (DSI) is a variant of magnetic resonance imaging (MRI) in which a magnetic field maps the water contained in neuron fibers, thus mapping their criss-crossing patterns. A similar technique called diffusion tensor imaging (DTI) is also used to explore neural data of white matter fibres in the brain. Both methods allow mapping of their orientations and the connections between brain regions.

Brain fibres. 3D diffusion tensor imaging (DTI) magnetic resonance imaging (MRI) scan of a selection of nerve pathways (green/yellow) in the brain. The brain is seen from the side, with the front of the brain at left. The ventricles are pink and the brain's cortical surface is blue. Diffusion tensor imaging measures the direction of water diffusion, which in the brain reveals the orientation of nerve fibres. The technique is also known as tractography, with the resulting image known as a tractogram.

Corpus callosum. Coronal 3D diffusion tensor imaging (DTI) magnetic resonance imaging (MRI) scan of nerve pathways (coloured) in and around the brain's corpus callosum. The corpus callosum (red, centre) is the band of nerve fibres that connects the two hemispheres of the brain (left and right). Diffusion tensor imaging measures the direction of water diffusion, which in the brain reveals the orientation of nerve fibres. The technique is also known as tractography, with the resulting image known as a tractogram.

Brain fibres. 3D diffusion tensor imaging (DTI) magnetic resonance imaging (MRI) scan of nerve pathways in the brain. The pathways are highlighted in green and blue. The brain is seen from the front. Diffusion tensor imaging measures the direction of water diffusion, which in the brain reveals the orientation of nerve fibres. The technique is also known as tractography, with the resulting image known as a tractogram.

The Hessian matrix made out of the different partial derivatives of the components of the function, which is used in determining the local curvature of a many variable function.

The Einstein Field Equations are a useful set of differential equations that describe the behavior of a scalar field in a vacuum. They have been used extensively in the fundamental physics of special relativity, quantum mechanics, and in relativity and cosmology.

The best description of the force of gravity, made by Albert Einstein using 4 dimensional space time to describe the movement of objects, is in the form of an action integral thanks to the work of the infamous David Hilbert.

The Hessian matrix made out of the different partial derivatives of the components of the function, which is used in determining the local curvature of a many variable function.

The Einstein Field Equations are a useful set of differential equations that describe the behavior of a scalar field in a vacuum. They have been used extensively in the fundamental physics of special relativity, quantum mechanics, and in relativity and cosmology.

The Einstein Field Equations are a useful set of differential equations that describe the behavior of a scalar field in a vacuum. They have been used extensively in the fundamental physics of special relativity, quantum mechanics, and in relativity and cosmology.

The Einstein Field Equations are a useful set of differential equations that describe the behavior of a scalar field in a vacuum. They have been used extensively in the fundamental physics of special relativity, quantum mechanics, and in relativity and cosmology.

The best description of the force of gravity, made by Albert Einstein using 4 dimensional space time to describe the movement of objects, is in the form of an action integral thanks to the work of the infamous David Hilbert.

The Jacobian matrix made out of the different partial derivatives of the components of the function, which is used in solving linear partial differential equations, and other problems in mathematics

The Jacobian matrix made out of the different partial derivatives of the components of the function, which is used in solving linear partial differential equations, and other problems in mathematics

Illustratrion of Einstein's Equation of Cosmology with a apple

The definition of the electromagnetic tensor derived by working in 4 dimensions in Minkowski spacetime.

Artificial Intelligence _ Ai

The best description of the force of gravity, made by Albert Einstein using 4 dimensional space time to describe the movement of objects.

The best description of the force of gravity, made by Albert Einstein using 4 dimensional space time to describe the movement of objects.