formulaUsed
P24049
predicate
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
All labels observed (14)
| Label | Occurrences |
|---|---|
| updateFormula | 5 |
| usesFormula | 5 |
| derivesFormula | 4 |
| updateFormulaUses | 4 |
| generalFormUses | 2 |
| hasUpdateFormula | 2 |
| normFormula | 2 |
| usesQuotaFormula | 2 |
| commonQuotaFormula | 1 |
| eachDayFormula | 1 |
| finalValueTheorem | 1 |
| formulaUsed canonical | 1 |
| gradientFormula | 1 |
| iterationFormula | 1 |
Sample triples (32)
| Subject | Object |
|---|---|
| Chrismation in Eastern Christianity | The seal of the gift of the Holy Spirit ⓘ |
| Lumen Gentium | subsists in via predicate surface "usesFormula" ⓘ |
| Single Transferable Vote | Droop quota via predicate surface "commonQuotaFormula" ⓘ |
| Counting of the Omer | Today is X days of the Omer via predicate surface "eachDayFormula" ⓘ |
| de Haas–van Alphen effect | Lifshitz–Kosevich formula via predicate surface "usesFormula" ⓘ |
| Euler’s method for numerical integration | y_{n+1} = y_n + h f(t_n, y_n) via predicate surface "hasUpdateFormula" ⓘ |
| Picard iteration | y_{n+1}(t) = y0 + ∫_{t0}^{t} f(s, y_n(s)) ds via predicate surface "iterationFormula" ⓘ |
| Laplace transform | lim_{t→∞} f(t) = lim_{s→0} s F(s) via predicate surface "finalValueTheorem" ⓘ |
| On the Sphere and Cylinder | V_sphere = 4/3 π r^3 via predicate surface "derivesFormula" ⓘ |
| On the Sphere and Cylinder | A_sphere = 4 π r^2 via predicate surface "derivesFormula" ⓘ |
| On the Sphere and Cylinder | V_cylinder = π r^2 h via predicate surface "derivesFormula" ⓘ |
| On the Sphere and Cylinder | A_cylinder = 2 π r h + 2 π r^2 via predicate surface "derivesFormula" ⓘ |
| Successive Over-Relaxation | splitting A = D + L + U via predicate surface "updateFormulaUses" ⓘ |
| Successive Over-Relaxation | diagonal part D of A via predicate surface "updateFormulaUses" ⓘ |
| Successive Over-Relaxation | strictly lower triangular part L of A via predicate surface "updateFormulaUses" ⓘ |
| Successive Over-Relaxation | strictly upper triangular part U of A via predicate surface "updateFormulaUses" ⓘ |
| Richardson iteration | x_{k+1} = x_k + \,\omega\,(b - A x_k) via predicate surface "updateFormula" ⓘ |
| Australian Senate elections | Droop quota via predicate surface "usesQuotaFormula" ⓘ |
| Halley’s method for solving equations | x_{n+1} = x_n - \frac{2 f(x_n) f'(x_n)}{2 (f'(x_n))^2 - f(x_n) f''(x_n)} via predicate surface "updateFormula" ⓘ |
| Heun’s method | y_{n+1} = y_n + h/2 [ f(t_n, y_n) + f(t_n + h, y_tilde ) ] via predicate surface "updateFormula" ⓘ |
| classical fourth-order Runge–Kutta method | y_{n+1} = y_n + h (k1 + 2 k2 + 2 k3 + k4) / 6 via predicate surface "updateFormula" ⓘ |
| Extended Hückel method | Hii equals valence orbital ionization potential via predicate surface "usesFormula" ⓘ |
| Extended Hückel method | Hij proportional to overlap integral Sij via predicate surface "usesFormula" ⓘ |
|
Hilbert–Schmidt operators
surface form:
Hilbert–Schmidt operator
|
square root of sum of squares of matrix entries in an orthonormal basis via predicate surface "normFormula" ⓘ |
|
Hilbert–Schmidt operators
surface form:
Hilbert–Schmidt operator
|
square root of trace of T* T via predicate surface "normFormula" ⓘ |
| Homoiousian theology | the Son is like the Father according to the Scriptures via predicate surface "usesFormula" ⓘ |
| theta-method | u_{n+1} = u_n + Δt[(1−theta) f(t_n,u_n) + theta f(t_{n+1},u_{n+1})] for ODEs via predicate surface "hasUpdateFormula" ⓘ |
| REINFORCE | E[ G_t ∇_θ log π_θ(a_t|s_t) ] via predicate surface "gradientFormula" ⓘ |
| Malta STV elections | Droop quota via predicate surface "usesQuotaFormula" NERFINISHED ⓘ |
| Newton’s method | x_{n+1} = x_n - f(x_n)/f'(x_n) via predicate surface "updateFormula" ⓘ |
| Liouville's inequality in Diophantine approximation | height of an algebraic number via predicate surface "generalFormUses" ⓘ |
| Liouville's inequality in Diophantine approximation | degree of an algebraic number via predicate surface "generalFormUses" ⓘ |