...are dependencies that encode theorems of calculus
...by which physical properties of wholes, parts, parts of parts, and the boundaries between parts depend upon one another
...that is composed of a single molecular species
...that is a countable set of quantal charges
...that is composed of more than one molecule
...that is mixture of solute molecules of one or more species dissolved in a liquid
A physical property has discrete scope if its value applies to the entire spatial region of a physical entity.
A physical property has continuum scope if it's values vary smoothly throughout a spatial region occupied by the physical entity that has the physical property.
...that is the form of the spatial coordinate system to which a physical property is referred
...whose value is a parameter that characterizes a constitutive dependency.
...that is a property of an energy-bearing physical entity whose value is the amount or rate of change of the amount of thermodynamic energy inhering in an entity.
...that is the temporal differential of a state property
...that is the dependence of a chemical flow on one or more chemical amounts; all chemical mass-action laws are Chemical flow transactors.
...that is the proportionality of the energy of a particle per rise in absolute temperature; equal to the Gas constant divided by Avogadro's number.
...that is the spatial extent of a spatial region
...in which temporal properties are related by temporal dependencies.
...is the derivative of flow versus force in a resistive dependency; the reciprocal of kinetic resistance property
...is an Event summation divided by the Duration of the Temporal interval over which the Event summation occurs
...that is the quantum of electrical charge
...is the temporal integral of a Chemical flow
...is the nondimensional derivative of the magnitudes of kinetic property that are players in a transducer dependency
...is the count of the members of a set of physical entities; e.g., molecules, particles, cells...
...is the temporal integral of a Fluid pressure; also the Fluid flow times the mass density of a Portion of fluid
...that is the set of all spatial points within a spatial region
...is the temporal derivative of a Solid displacement
...is the dependence of a fluid flow rate on a kinetic displacement.
...is the transformation of Energy within or between participating Energetic physical entities according to a constitutive dependency.
...is the amount of electric charge per mole of electrons;
...that is the dependence of a chemical flow rate on the amount or chemical potential of reactants (e.g., substrates, products) in a chemical reaction.
...by which material entities exert an attractive force on each other that is proportional to the product of their masses
...is a spatial entity that is a system for assigning an n-tuple of numbers or scalars to each point in an n-dimensional space.
...that is the temporal integral of a Physical property
...is the nondimensional derivative of the magnitudes of kinetic property that are players in a transformer dependency
...is a dimension to which units of spatial extent apply
..is a mathematical function that, given one value, returns a spatial point
...is the temporal dimension to which units of units of time duration apply
...is the dependence of a constitutive property on intensive constitutive and spatial properties of a kinetic entity
...is the derivative momentum versus force in an inductive dependency
...that is a point in a spatial coordinate system
...is the temporal integral of a flow rate
... is the nominal acceleration due to gravity at the Earth's surface at sea level; http://en.wikipedia.org/wiki/Standard gravity
...is the dimension to which units of spatial extent apply
...is a dependent continuant that encodes a quantitative attribute of a physical entity, property, or process whose value is measureable by a physical device.
...is the electric charge carried by a single proton, or equivalently, the negative of the electric charge carried by a single electron.
...is the temporal integral of a Fluid flow
...is a fundamental coordinate of a physical property upon which its units of measure are based
---need to outsource this class to existing unit ontology
...in which energy is transferred and conserved between physics entities of different kinetic domains; constrained by the quantitative relationships: E1 = nF2, and nF1 = E2 where E and F are force and flow properties, respectively, of entities 1 and 2 , and n is a positive scalar transducer ratio.
...is the temporal integral of a Solid force; also the Solid-velocity times the mass of a solid Material physical entity
...that is the number of individuals in a set
...that is proportional to the Mass of an entity
...in which the entities are solid structures
......is the temporal derivative of a Heat amount
Statistical property of value distribution
...in which the entities are portions of ions
...that is the constant of proportionality that relates the gravitational force between two Material physical entities as the product of the masses of the entities divided by the distance between the entities; <http://en.wikipedia.org/wiki/Gravitational constant>
...is the derivative of force versus displacement in a capacitive dependency; reciprocal of capacitance property
...is the derivative of force versus flow in a resistive dependency; reciprocal of kinetic conductance property
Angle dimension; UCUM ref: http://aurora.regenstrief.org/UCUM/ucum.html#section-Base-Units
...that is the flow of energy or the modulation of an energy flow according to a entity-coupling dependency
...is the temporal derivative of a Chemical amount
...that is the tranformation of energy according to a constitutive kinetic dependency
...in which a displacement depends on a force differential applied to the entity.
...in which kinetic properties are related by kinetic physical dependencies.
A Bond is an abstraction that represents ONLY the energetics of an attractive interaction between entities; i.e., the bond is manifested as a minimum energy state (usually as a function of entity-entity distance). Thus, a bond can be defined irrespective of the physical mechanism that mediates the bond such as electron-sharing or the extracellular matrix between cells.
...that is an attractive interaction between physical entities that requires force to be displaced or disrupted
...in which a change of Displacement is the temporal integral of Flow rate
..that is a spatial region that has neither mass, charge, or energy but has spatial properties
...that is a time-series of Moments of Process events during a Physical process
...is the amount of time between two temporal instants
...is a constitutive dependency whose players are the kinetic properties of a single physical entity
...in which thermodynamic properties are related by thermodynamic dependencies.
...is an immaterial spatial distribution of potential energy by which physical entities exert force upon each other.
...is the temporal derivative of a Fluid volume
One dimensional spatial coordinate system
...that is a continuant that is a bearer of physical properties
Statistical property of value correlation
Intensive fluid volumetric capacitance field
...is the temporal derivative of an Ion amount
...is the temporal integral of a Solid velocity
...that consists of innumerable particles that has diffusive kinetic properties
the concentration of a portion of molecules that is the spatial average of the intensive chemical concentration field
...that quantitatively characterizes a constitutive dependency
...that proceeds according to a resistive dependency and dissipates energy as heat
...that is the amount of Charge flowing during an interval of Time
...that characterizes the dimension, value type, or spatial scope of a physical property
...that is a material substance with fluid kinetic properties.
...that is the moment that a process begins
...that is the moment that a process ends
is a primitive that entity that is the bearer of electrical charge, is immaterial, and has no spatial extent
...in which the entities are portions fluids (i.e., liquids, gasses)
...that is the electrical charge of an electron
...in which energy is transferred and conserved between physics entities of the same kinetic domain; constrained by the quantitative relationships: E1 = nE2, and nF1 = F2 where E and F are force and flow properties, respectively, of entities 1 and 2 , and n is a positive scalar transformer ratio.
...that is the electrical charge of a proton
...is a <fred?> of a set of physical entities
...that has both chemical and diffusion kinetic properties.
...that is the temporal location or duration of a temporal entity within a temporal coordinate system.
...that is the amount of time between the origin of a temporal coordinate and a temporal Instant
...is a quantitative dependency between the values of physical properties
...by which Total energy is the algebraic sum of Potential energy and Kinetic energy
--- outsource this class to existing ontology??
...that is the proportionality of the energy of a substance per mole per rise in absolute temperature; the same as Boltzmann's constant times Avogadro's number.
...is the temporal integral of a Electrical current
...in which a change of Momentum is the temporal integral of Force
...is a physical property whose magnitude or value is expressible as a scalar number that independent of transformations of the spatial coordinate system in which it is measured.
...that is a measured or defined physical property of matter or space attributable to all kinetic and spatial entities
...that is the flow, control, transformation, or dissipation of thermodynamic energy within or between participating energetic physical entities according to a physical property dependency.
total amount of a portion of chemical within a spatial region
...is the law that states that the net rate of electrical charge traversing the Boundary of a Physical entity is exactly equal to the gain or loss of electrical charge within the Boundary.
...is a physical property whose value is expressed as a combination of a scalar and a spatial orientation in a spatial coordinate system.
...that is a nondimensional positive scalar
...in which the entities are portions of molecules
...is a physical property whose value is a multidimensional array of scalars whose values are invariant under spatial coordinate transformation.
...in which statistical properties are related by statistical dependencies.
...that consists of point regions in a three spatial dimensions in space
...that is the spatial region for which a physical property is defined
....that is a uncountable set of quantal charges whose net charge is a continuous scalar quantity
...is a temporal entity that is a system for assigning a numbers or scalars to temporal moments relative to reference moment.
...is proportional to the extent of Space
...that consists of point regions in a two spatial dimensions in space
...that is the number particles, usually, atoms or molecules in one mole of a chemical entity.
...is the temporal integral of a Particle flow
... is a domain of physics science in which physical properties are related by physical dependencies.
...that is measured or applies to the entirety of a physical entity but is independent of the spatial extent or mass of the entity;
...in which a flow depends on a force differential applied to the entity.
A physical property has discrete extensive if it's value applies to the entire spatial region occupied by a physical entity and is the spatial integral of a property and is proportional to the spatial extent or mass of the entity.
...in which the entities are portions of thermal energy
A physical property has continuum point scope if it has the value at an arbitrarily small spatial region surrounding a spatial point within a spatial region; an intensive property.
..is a bounded or unbounded region of space.
A physical property has continuum field scope if it is the spatially distributed values of the property throughout a spatial region; the spatial distribution of an intensive property.
...that is an arbitrarily small spatial region surrounding a spatial point
...that proceeds according to an axiomatic physical dependency.
...is the temporal integral of a Heat flow
...that is a measure of the spatial extent or location of a spatial entity referred to a spatial coordinate system.
...that is the proportionality between solid momentum and velocity of a solid entity
...is the derivative of displacement versus force in a capacitive dependency; reciprocal of elastance property
...that is the capacity of a energetic entity to perform work and has thermodynamic properties
...by which electrical charges that are immobile with respect to each other exert force on each other
...that is a summation of the magnitudes of individual Kinetic properties of one class across a Set of energetic physical entities
...is a period of time bounded by two temporal moments (that may be the same moment).
The OPB is an ontology of the abstract concepts created by the science of systems dynamics and thermodynamics. Aside from its dependence on classical physics, the OPB does not purport to be a philosophically-based representation of physical "reality". We are motivated by utilitarian goal of facilitating and expediting the annotation and cross-referencing of physics-based analytical models in the realm of biomedicine. The OPB does not include quantum or relativistic physics, nor is it intended to recapitulate the axiomatic basis of physics as a theoretical framework. Whereas the foundational theory of the OPB encompasses both discrete systems analysis (using ordinary differential equations; ODEs) and continuum systems analysis (using partial differential equations; PDEs), the first version of the OPB is targeted solely to discrete systems analysis.
A physics analytical entity is a formal abstraction of the real world created within the science of classical physics for the description of physical entities and the analysis of physical processes.
...in which the momentum of an entity depends on its flow rate.
...that is a dependency between the magnitudes of dynamical physical properties that depends on the structure and material composition of physical entities.
...is the temporal derivative of a Particle amount
...is a constitutive property that is independent of an entity's spatial extent or its mass; can be determined at a point within the entity
...in which spatial properties are related by spatial dependencies.
Three dimensional spatial coordinate system
Two dimensional spatial coordinate system
...that is a measure of the amount of energy in a portion of energy
...that is a measure of the amount of entropy in a portion of entropy
...that is a property of an energy-bearing physical entity whose value determined the amount or rate of change of the amount of thermodynamic energy inhering in as entity as defined by a thermodynamic dependency
...that is the temporal integral of a rate property
......that is the sum of flow rates entering an energetic physical entity and is the temporal differential of its amount
...is a determinant of potential energy, AND is a participant in a resistive dependency and a capacitive dependency, AND is a temporal differential on momentum
measured in concentration per unit time; moles/s
measured in concentration per unit time; M/s
...in which process properties are related by process dependencies.