Pj Problems - Overview
The Number Line
7 Spaces Of Interest - Overview
Triadic Unit Mesh
States Of Matter
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Faith, Love, Charity
The human story is primarily about survival and discoveries. Many persons young and old from various parts of the world have been contributors to the important story of great human discoveries. The discoveries indicated in 1895-1911. 16 years of open brains are important snapshots from the human Knowledge Continuum.
(a) Indicate the discoverers and primary underlying concepts of the discoveries highlighted in 1895-1911. 16 years of open brains.
(b) What is meant by open brain and stringed brain?
S7P2A22 (Identity - Chemical Properties).
Pj Problem of Interest is of type identity (chemical properties). Both physical and chemical identities are at play here. However, the identity of the chemical properties of these discoveries are dominant. Hence, the Pj Problem of Interest is of type identity - chemical properties
(i) 1895: X-rays were discovered. Wilhelm Konrad Rontgen (1845-1923) is credited with the discovery. The underlying concept is that light invisible to the unaided eye, could penerate matter that is impervious to ordinary light and could produce fluorescence in various substances.
(ii) 1896: radioactivity was discovered. Henri Becquerel (1852-1908) is credited with the discovery. The underlying concept is that energy and matter can be released as a result of changes in the nucleus of an atom. Becquerel used Uranium in his experiment. In the same year, Marie Sklodowska Curie (1867-1934) in association with her husband Pierre Curie (1859-1906) showed that some other substances other than uranium are radioactive. The two substances they found to be radioactive they named polonium and radium.
(iii) 1897: the electron was discovered. G. Johnstone Stoney (1826-1911) is credited with being the first to suggest (in 1874) the existence of charged discrete units of electricity associated with atoms. In 1891 Stoney suggested the name electron for this discrete unit of electricity. However, Joseph John Thomson (1856-1940) is credited with the discovery of the actual existence of the electron and some of its properties. Electrons are central to all interactions in the physical universe.
(iv) 1899: α radiation β radiation were discovered. Ernest Rutherford (1871-1937) is credited with the discovery. Paul Villard (1860-1934) discovered Gamma (γ) radiation, shortly after. These discoveries identified the nature of the radiation from uranium. Rutherford showed that α rays are positive parts of helium atoms moving at high speed. β rays are electrons moving at high speed. γ rays are short wavelength rays similar to visible light.
(v) 1900: Quantum Theory was discovered. Max Planck (1858-1947) is credited with the discovery. Over the years, several great individuals set the stage for its heralding: Isaac Newton's wave theory of light and the light particles he called corpuscles; the wave theory of light of Christian Huygens (1629-1695), Augustine Jean Fresnel (1788-1827) and Thomas Young (1773-1829); James Clerk Maxwell's wave equation and the confirmatory experiment by Heinrich Hertz (1857-1894). The underlying concept is that energy is transfered in discrete units called quanta.
(vi) 1905: photon (light quanta) was discovered. Albert Einstein is credited with this discovery. The discovery established the particle nature of light that arose from the theory of photoelectric effect. Einstein established the photoelectric equation which states that the energy of the light quantum is the sum of the energy required to remove the electron from the metal and the kinetic energy imparted to the electron.
(vii) 1911: atomic nuclei were discovered. Ernest Rutherford (1871-1937) is credited with the discovery. Rutherford's interpretation in 1911 of his experiment on the scattering of alpha rays by a thin sheet of mica and a similar experiment by H. Geiger and E. Marsden on the scattering of alpha rays by gold foil, established the discovery. Rutherford's interpretation posited that the results of the experiments showed that most of the mass of an atom is concentrated in a single particle that is very small relative to the atom itself. This particle we now know as the nucleus of an atom.
1895 -1911. 16 years in which open brains established discoveries that were critical intellectual prerequisites for the actualization of the quantum intellectual leap of homo sapiens sapiens.
(b) An open brain is a brain from which flow new discoveries. A stringed brain is a brain able to make unified sense of all the discoveries. An open-stringed brain is a brain that is both open and stringed.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle
Derivation Of The Area Of An Ellipse
Derivation Of Volume Of A Cylinder
Derivation Of Volume Of A Sphere
Derivation Of Volume Of A Cone
Derivation Of Volume Of A Torus
Derivation Of Volume Of A Paraboloid
Volume Obtained By Revolving The Curve y = x2 About The X Axis
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Absolute Value Functions
Equation Of The Ascent Path Of An Airplane
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Probability Density Functions
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Ordinary Differential Equations (ODEs)
Infinite Sequences And Series
Introduction To Group Theory
Advanced Calculus - Partial Derivatives
Advanced Calculus - General Charateristics Of Partial Differential Equations
Advanced Calculus - Jacobians
Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables
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Advanced Calculus - Multiple Integrals
Production Schedule That Maximizes Profit Given Constraint Equation
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Derivation Of Heat Equation For A One-Dimensional Heat Flow
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
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