$#A+1 = 263 n = 0
...of special functors from the category of pairs of spaces into the category of graded Abelian groups.
23 KB (3,297 words) - 19:41, 5 June 2020
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...y. $T = T _ { 0 } \otimes T _ { 1 }$ is called the canonical decomposition of $T$.
6 KB (897 words) - 20:02, 27 February 2021
Out of 192 formulas, 188 were replaced by TEX code.-->
...ows that $E _ { i } ^ { * } \xi = \xi ^ { \prime }$. Indeed, each $E_i$ is a partial isometry, satisfying $E _ { i } ^ { * } E _ { j } + E _ { j } E _ {
19 KB (2,677 words) - 17:44, 1 July 2020
...em. The differential equation of motion of a linear system with one degree of freedom in an environment with viscous friction and with harmonic external
$$a\ddot q+b\dot q+cq=H\sin(pt+\delta),$$
2 KB (305 words) - 07:04, 27 May 2023
$#A+1 = 106 n = 0
An iterative algorithm for finding a solution to a linear equation
16 KB (2,300 words) - 19:29, 17 January 2024
$#A+1 = 67 n = 1
A manner for uniquely finding solutions to equations analogous to the [[Helmh
7 KB (1,032 words) - 19:27, 26 March 2023
Out of 43 formulas, 42 were replaced by TEX code.-->
...0$ and the multiplicity of the zero-eigenvector of $M$ is one (uniqueness of the vacuum).
9 KB (1,385 words) - 20:57, 8 February 2024
$#A+1 = 38 n = 0
...he case of isotropic scattering of quanta, diffusing without absorption in a stellar atmosphere.
6 KB (887 words) - 20:31, 25 February 2021
Out of 50 formulas, 48 were replaced by TEX code.-->
...ry homotopy theory for CW-spaces (cf. also [[Cohomology]]; [[Cohomology of a complex]]; [[CW-complex|CW-complex]]).
8 KB (1,246 words) - 19:51, 24 December 2023
$#A+1 = 92 n = 0
...with a real symmetric kernel (cf. [[Kernel of an integral operator|Kernel of an integral operator]]):
13 KB (1,912 words) - 16:30, 6 January 2024
$#A+1 = 54 n = 0
''of a dynamical system''
11 KB (1,535 words) - 17:57, 29 October 2020
$#A+1 = 65 n = 0
A topological space associated with a vector (or sphere) bundle or spherical fibration.
6 KB (876 words) - 08:25, 6 June 2020
Out of 75 formulas, 75 were replaced by TEX code.-->
...anach spaces, and Banach and Fréchet algebras. Throughout, $E$ will denote a complex [[Banach space|Banach space]] with open unit ball $B_E$.
8 KB (1,191 words) - 15:19, 1 July 2020
.... It satisfies the trace condition: $\mathrm{res}(AB) = \mathrm{res}(BA)$. A very important property is that it can be expressed as an integral (local f
\mathrm{res} A = \int_{S^*M} \tr a_{-n}(x,\xi) d\xi
2 KB (395 words) - 18:13, 25 September 2017
$#A+1 = 23 n = 0
$#C+1 = 23 : ~/encyclopedia/old_files/data/R077/R.0707070 Radiative transfer theory
8 KB (1,248 words) - 18:31, 13 January 2024
Out of 53 formulas, 53 were replaced by TEX code.-->
...applications in commutative algebra, algebraic geometry and algebraic $K$-theory; see [[#References|[a5]]] and [[#References|[a6]]].
8 KB (1,239 words) - 17:01, 1 July 2020
Out of 174 formulas, 170 were replaced by TEX code.-->
...n applies here, mutatis-mutandis, [[#References|[a7]]]. Thus, each element of $\mathcal{X}$ may be reconstructed from its spectral parts just as ordinary
14 KB (2,151 words) - 17:43, 1 July 2020
A [[Self-adjoint operator|self-adjoint operator]] generated by a differential expression
x \in (a, b),
9 KB (1,365 words) - 12:24, 10 February 2020
$#A+1 = 43 n = 0
A bounded [[Linear operator|linear operator]] $ A $
3 KB (507 words) - 05:59, 20 January 2022
$#A+1 = 74 n = 0
A commutative local Noetherian ring $ A $,
7 KB (1,158 words) - 17:45, 4 June 2020