• Tau (redirect from Τ)
    Tau (/ˈtɔː, ˈtɒ, ˈtaʊ/; uppercase Τ, lowercase τ or τ {\displaystyle {\boldsymbol {\tau }}} ; Greek: ταυ [taf]) is the nineteenth letter of the Greek...
    16 KB (1,497 words) - 23:34, 24 August 2024
  • Kendall's τ coefficient (after the Greek letter τ, tau), is a statistic used to measure the ordinal association between two measured quantities. A τ test is...
    30 KB (5,081 words) - 06:38, 9 September 2024
  • Thumbnail for Torque
    of force (also abbreviated to moment). The symbol for torque is typically τ {\displaystyle {\boldsymbol {\tau }}} , the lowercase Greek letter tau. When...
    31 KB (4,358 words) - 15:55, 22 August 2024
  • Thumbnail for Convolution
    g ) ′ = d d t ∫ − ∞ ∞ f ( τ ) g ( t − τ ) d τ = ∫ − ∞ ∞ f ( τ ) ∂ ∂ t g ( t − τ ) d τ = ∫ − ∞ ∞ f ( τ ) g ′ ( t − τ ) d τ = f ∗ g ′ . {\displaystyle...
    66 KB (8,752 words) - 15:03, 2 September 2024
  • Thumbnail for Allan variance
    τ ) {\displaystyle \sigma _{y}^{2}(\tau )} . The Allan deviation (ADEV), also known as sigma-tau, is the square root of the Allan variance, σ y ( τ )...
    64 KB (9,318 words) - 19:58, 20 April 2024
  • Look up tau, Tau, Τ, or τ in Wiktionary, the free dictionary. Tau (Τ or τ) is the 19th letter of the Greek alphabet. Tau may also refer to: Tau (mathematical...
    3 KB (464 words) - 08:34, 31 March 2024
  • Thumbnail for Bipolar coordinates
    the coordinates of the point P are x = a   sinh ⁡ τ cosh ⁡ τ − cos ⁡ σ , y = a   sin ⁡ σ cosh ⁡ τ − cos ⁡ σ . {\displaystyle x=a\ {\frac {\sinh \tau...
    9 KB (1,427 words) - 05:45, 6 September 2024
  • The σ-algebra of τ-past, (also named stopped σ-algebra, stopped σ-field, or σ-field of τ-past) is a σ-algebra associated with a stopping time in the theory...
    2 KB (333 words) - 16:10, 7 September 2024
  • Thumbnail for Shear stress
    Shear stress (often denoted by τ, Greek: tau) is the component of stress coplanar with a material cross section. It arises from the shear force, the component...
    15 KB (1,951 words) - 14:52, 30 August 2024
  • Thumbnail for Spectral density
    ( t − τ ) y T ( t ) d t ] e − i 2 π f τ d τ = ∫ − ∞ ∞ R x y ( τ ) e − i 2 π f τ d τ S y x ( f ) = ∫ − ∞ ∞ [ lim T → ∞ 1 T ∫ − ∞ ∞ y T ∗ ( t − τ ) x T...
    36 KB (5,665 words) - 18:03, 26 June 2024
  • Thumbnail for Mu (letter)
    term ( 1 + τ α {\displaystyle 1+\tau {}\alpha } ) to the term itself. Via substitution and arithmetic, the type expands to 1 + τ + τ 2 + τ 3 + ⋯ {\displaystyle...
    11 KB (1,073 words) - 19:56, 16 July 2024
  • ) = e − i ω 0 τ − | τ | / τ 0 {\displaystyle g^{(1)}=e^{-i\omega _{0}\tau -|\tau |/\tau _{0}}} and g ( 2 ) ( τ ) = 1 + e − 2 | τ | / τ 0 {\displaystyle...
    30 KB (5,460 words) - 15:40, 25 August 2024
  • Thumbnail for Autocorrelation
    and the auto-covariance function: K X X ⁡ ( τ ) = E ⁡ [ ( X t + τ − μ ) ( X t − μ ) ¯ ] = E ⁡ [ X t + τ X ¯ t ] − μ μ ¯ {\displaystyle \operatorname...
    39 KB (5,807 words) - 12:59, 12 September 2024
  • Thumbnail for Quantile regression
    setting it to 0, and letting q τ {\displaystyle q_{\tau }} be the solution of 0 = ( 1 − τ ) ∫ − ∞ q τ d F Y ( y ) − τ ∫ q τ ∞ d F Y ( y ) . {\displaystyle...
    29 KB (4,108 words) - 09:29, 3 September 2024
  • and c2 q t ( τ ) = { e − ζ τ ( c 1 e τ ζ 2 − 1 + c 2 e − τ ζ 2 − 1 ) ζ > 1  (overdamping) e − ζ τ ( c 1 + c 2 τ ) = e − τ ( c 1 + c 2 τ ) ζ = 1  (critical...
    33 KB (4,575 words) - 10:47, 12 September 2024
  • itself belong to τ . {\displaystyle \tau .} Any arbitrary (finite or infinite) union of members of τ {\displaystyle \tau } belongs to τ . {\displaystyle...
    28 KB (4,038 words) - 19:21, 9 September 2024
  • (Correctness) Γ ⊢ W e : τ , S ⟹ Γ ⊢ S e : τ (Completeness) Γ ⊢ S e : τ ⟹ Γ ⊢ W e : τ ′ , S forall   τ   where   ∅ ¯ ( τ ′ ) ⊑ τ {\displaystyle...
    61 KB (8,534 words) - 11:07, 13 August 2024
  • physics and engineering, the time constant, usually denoted by the Greek letter τ (tau), is the parameter characterizing the response to a step input of a first-order...
    20 KB (2,993 words) - 21:37, 4 August 2024
  • Thumbnail for Mohr's circle
    x y σ x z σ y x σ y y σ y z σ z x σ z y σ z z ] ≡ [ σ x τ x y τ x z τ y x σ y τ y z τ z x τ z y σ z ] {\displaystyle {\boldsymbol {\sigma...
    44 KB (6,591 words) - 06:22, 27 August 2024
  • Thumbnail for Ramanujan tau function
    three properties of τ(n): τ(mn) = τ(m)τ(n) if gcd(m,n) = 1 (meaning that τ(n) is a multiplicative function) τ(pr + 1) = τ(p)τ(pr) − p11 τ(pr − 1) for p prime...
    13 KB (1,736 words) - 15:21, 26 July 2024
  • Thumbnail for Exponential decay
    the exponential time constant, τ {\displaystyle \tau } , relates to the decay rate constant, λ, in the following way: τ = 1 λ . {\displaystyle \tau ={\frac...
    17 KB (2,585 words) - 15:32, 7 June 2024
  • Thumbnail for Linear time-invariant system
    equivalent to ∫ − ∞ ∞ h ( τ ) A e s ( t − τ ) d τ ⏞ H f = ∫ − ∞ ∞ h ( τ ) A e s t e − s τ d τ = A e s t ∫ − ∞ ∞ h ( τ ) e − s τ d τ = A e s t ⏟ Input ⏞ f...
    36 KB (5,855 words) - 23:05, 1 September 2024
  • τ , τ ′ , τ ″ {\displaystyle \tau ,\tau ',\tau ''} , a term λ x : ττ ′ → τ ″ . λ y : ττ ′ . λ z : τ . x z ( y z ) : ( ττ ′ → τ ″ ) → ( ττ...
    33 KB (4,587 words) - 10:39, 14 August 2024
  • Thumbnail for Tau (particle)
    The tau (τ), also called the tau lepton, tau particle, tauon or tau electron, is an elementary particle similar to the electron, with negative electric...
    13 KB (1,417 words) - 02:01, 22 June 2024
  • {\displaystyle X} with topology τ {\displaystyle \tau } is a subcollection B {\displaystyle B} of τ {\displaystyle \tau } that generates τ , {\displaystyle \tau...
    18 KB (1,960 words) - 05:08, 10 July 2024
  • Δ τ e ∫ 0 τ ¯ a ( τ ′ ) d τ ′ d τ ¯ ] [ ∫ 0 Δ τ e − ∫ 0 τ ¯ a ( τ ′ ) d τ ′ d τ ¯ ] > [ ∫ 0 Δ τ e ∫ 0 τ ¯ a ( τ ′ ) d τ ′ e − ∫ 0 τ ¯ a ( τ ′ ) d τ ′...
    56 KB (7,923 words) - 20:45, 9 September 2024
  • τ ⁡ [ ln ⁡ p ( X ∣ μ , τ ) + ln ⁡ p ( μ ∣ τ ) + ln ⁡ p ( τ ) ] + C = E τ ⁡ [ ln ⁡ p ( X ∣ μ , τ ) ] + E τ ⁡ [ ln ⁡ p ( μ ∣ τ ) ] + E τ ⁡ [ ln ⁡ p ( τ...
    56 KB (11,215 words) - 03:47, 20 August 2024
  • Thumbnail for Exponential growth
    factor, and τ is the time constant—the time required for x to increase by one factor of b: x ( t + τ ) = a ⋅ b t + τ τ = a ⋅ b t τ ⋅ b τ τ = x ( t ) ⋅...
    23 KB (3,100 words) - 02:41, 19 August 2024
  • defined by: r ( x ) = { u ∗ v } ( x ) ≜ ∫ − ∞ ∞ u ( τ ) v ( x − τ ) d τ = ∫ − ∞ ∞ u ( x − τ ) v ( τ ) d τ . {\displaystyle r(x)=\{u*v\}(x)\triangleq \int...
    22 KB (1,984 words) - 12:21, 11 September 2024
  • Thumbnail for RC time constant
    The RC time constant, denoted τ (lowercase tau), the time constant (in seconds) of a resistor–capacitor circuit (RC circuit), is equal to the product...
    6 KB (784 words) - 15:29, 5 August 2024