The data may be scalar (such as the concentration of a chemical agent in the brain), vector or tensor fields (like the displacement or strain tensor fields when the gear is in action) at different points of the object.
Moreover, for any set A, there exist infinite-dimensional vector spaces having the (Hamel) dimension of the cardinality of A (e.g., the space of functions with finitely-many nonzero elements, where K is the desired field of scalars).
field hockey | Field Marshal | Field Museum of Natural History | Wrigley Field | Soldier Field | Sally Field | Field of Dreams | Ebbets Field | Royal Field Artillery | Eugene Field | United States high school national records in track and field | Marshall Field's | field marshal | England national field hockey team | McCook Field | LP Field | Informatics (academic field) | Faurot Field | Edward Field | Earth's magnetic field | Citi Field | Ayub Khan (Field Marshal) | Safeco Field | Progressive Field | Near field communication | India national field hockey team | Heinz Field | Hamilton Field | Field hockey | field |
The new scalar field comes from a component of the metric tensor where the figure 5 labels an additional, fifth dimension.
The site is mentioned in the manga 'Battle Angel Alita' in reference to a supposedly historical weapon, a 'scalar field' device called the 'Sarishagan tiger'.
Scalar theories of gravitation are field theories of gravitation in which the gravitational field is described using a scalar field, which is required to satisfy some field equation.
In theoretical physics, a scalar-tensor theory is a theory that includes both a scalar field and a tensor field to represent a certain interaction.
It should be pointed out that while this kind of Q-ball is stable against decay into scalars, it is not stable against decay into fermions if the scalar field has nonzero Yukawa couplings to some fermions.
The scalar field is charged, and with an appropriate potential, it has the capacity to break the gauge symmetry via the Abelian Higgs mechanism.
It uses a scalar field of infinite length scale (i.e. long-ranged), so, in the language of Yukawa's theory of nuclear physics, this scalar field is a massless field.
A way out has been given by Ludvig Faddeev and Victor Popov with the introduction of a ghost field (see Faddeev–Popov ghost) that has the property of being unphysical since, although it agrees with Fermi–Dirac statistics, it is a complex scalar field, which violates the spin-statistics theorem.