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There is a page named "Identically zero" on Wikipedia

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  • with the x-axis, meaning it has no root (zero). On the other hand, the polynomial f(x) = 0 is the identically zero function. It is the (trivial) constant...
    8 KB (985 words) - 02:18, 3 April 2024
  • {\displaystyle x\mapsto \langle Ax,y\rangle =\langle x,A^{*}y\rangle } is identically zero, and hence y ∈ ( im ⁡ A ) ⊥ . {\displaystyle y\in (\operatorname {im}...
    18 KB (3,265 words) - 23:54, 11 January 2024
  • \ldots ,f_{n}} , none of which is identically zero, such that f i f j {\displaystyle f_{i}\,f_{j}} is identically zero whenever i ≠ j {\displaystyle i\neq...
    7 KB (1,261 words) - 12:27, 6 July 2024
  • linear dependence; for example, if the Wrońskian of n functions is identically zero and the n Wrońskians of n – 1 of them do not all vanish at any point...
    12 KB (1,447 words) - 18:14, 22 June 2024
  • Thumbnail for Window function
    general definition of window functions does not require them to be identically zero outside an interval, as long as the product of the window multiplied...
    73 KB (8,651 words) - 05:50, 12 July 2024
  • \mathbb {R} } f(n) = 0 for every non-negative integer n. Then f is identically zero. The first condition may be relaxed: it is enough to assume that f...
    5 KB (710 words) - 00:59, 28 July 2023
  • Thumbnail for Poisson's equation
    V to be the gradient of a function f is that the curl of V must be identically zero. In case this condition is difficult to impose, it is still possible...
    16 KB (2,240 words) - 22:28, 20 March 2024
  • identically zero, while in the case of an n-sphere, the points on the boundary for which some of the components of β {\displaystyle \beta } are zero are...
    49 KB (7,841 words) - 07:42, 19 June 2024
  • Thumbnail for Bandlimiting
    its Fourier transform cannot both have finite support unless it is identically zero. This fact can be proved using complex analysis and properties of the...
    7 KB (1,080 words) - 18:42, 14 May 2024
  • Thumbnail for Analytic function
    this sequence converges to a point r in the domain of D, then ƒ is identically zero on the connected component of D containing r. This is known as the...
    15 KB (2,224 words) - 05:07, 5 June 2024
  • n-dimensional Cauchy–Riemann conditions, then the complex Hessian matrix is identically zero. Let ( M , g ) {\displaystyle (M,g)} be a Riemannian manifold and ∇...
    21 KB (3,408 words) - 18:23, 27 December 2023
  • h} on ( a , b ) {\displaystyle (a,b)} , then f {\displaystyle f} is identically zero. Here "smooth" may be interpreted as "infinitely differentiable", but...
    9 KB (1,621 words) - 00:59, 17 May 2024
  • sense that the Kobayashi pseudometric dX may be identically zero. For example, it is identically zero when X is the complex line C. (This occurs because...
    18 KB (2,246 words) - 12:14, 8 November 2023
  • curvature has zero torsion at all points. Conversely, if the torsion of a regular curve with non-vanishing curvature is identically zero, then this curve...
    5 KB (659 words) - 16:44, 2 January 2023
  • Thumbnail for Gaussian curvature
    consequence of Minding's theorem is that any surface whose curvature is identically zero can be constructed by bending some plane region. Such surfaces are...
    19 KB (2,622 words) - 02:43, 13 March 2024
  • Solutions of the Laplace equation, i.e. functions whose Laplacian is identically zero, thus represent possible equilibrium densities under diffusion. The...
    27 KB (4,068 words) - 00:21, 15 July 2024
  • Wronskian W ( y 1 , y 2 ) {\displaystyle W(y_{1},y_{2})} is always either identically zero, always positive, or always negative at every point x {\displaystyle...
    12 KB (2,749 words) - 22:04, 4 June 2024
  • b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]. Quasi-analytic classes are broader classes...
    8 KB (1,577 words) - 09:05, 7 November 2023
  • Thumbnail for Symmetric space
    has nonnegative (but not identically zero) sectional curvature. Non-compact type: M has nonpositive (but not identically zero) sectional curvature. A more...
    45 KB (4,599 words) - 15:11, 4 July 2024
  • Thumbnail for Taylor series
    all derivatives zero there. Consequently, the Taylor series of f (x) about x = 0 is identically zero. However, f (x) is not the zero function, so does...
    48 KB (8,245 words) - 04:16, 17 July 2024
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