hasFormulation
P3660
predicate
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
All labels observed (22)
| Label | Occurrences |
|---|---|
| hasFormulation canonical | 163 |
| materialForm | 151 |
| formulates | 73 |
| mathematicalFormulation | 54 |
| hasPoeticForm | 39 |
| hasAlternativeFormulation | 25 |
| mathematicallyFormulatedAs | 14 |
| isFormulatedAs | 9 |
| formulationFocus | 8 |
| formulatedAs | 6 |
| solutionForm | 3 |
| formulatedInSection | 2 |
| formulatedToSupport | 2 |
| excludedMiddleFormulation | 1 |
| hasBoosterFormulations | 1 |
| hasEnergyFunctionForm | 1 |
| hasGeneralFormulation | 1 |
| hasHamiltonianFormulation | 1 |
| hasOpeningFormula | 1 |
| optimizationFormulation | 1 |
| relatedOptimizationFormulation | 1 |
| updatedFormulation | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: hasFormulation
Generated description
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
Sample triples (558)
| Subject | Object |
|---|---|
| Les Trophées | sonnet via predicate surface "hasPoeticForm" ⓘ |
| Les Trophées | ode via predicate surface "hasPoeticForm" ⓘ |
| Les Trophées | meditative poem via predicate surface "hasPoeticForm" ⓘ |
| World War II Victory Streamer | cloth streamer via predicate surface "materialForm" ⓘ |
| Linear B | clay tablets via predicate surface "materialForm" ⓘ |
| Linear B | inscribed stirrup jars via predicate surface "materialForm" ⓘ |
| Nambu–Goto action | area of a two-dimensional worldsheet embedded in spacetime via predicate surface "formulatedAs" ⓘ |
| Nambu–Goto action |
Polyakov action
via predicate surface "hasAlternativeFormulation"
ⓘ
surface form:
Polyakov action with auxiliary worldsheet metric
|
| Science Diet Canine | specific health needs in dogs via predicate surface "formulatedToSupport" ⓘ |
| Science Diet Canine | specific nutritional needs in dogs via predicate surface "formulatedToSupport" ⓘ |
| Presidential insignia of Russia | metal chain with enamel and heraldic medallions via predicate surface "materialForm" ⓘ |
| Presidential insignia of Russia | fabric standard with embroidered coat of arms via predicate surface "materialForm" ⓘ |
| Kaldor growth model | dynamic system linking growth rate to profit share and investment via predicate surface "mathematicallyFormulatedAs" ⓘ |
| Linus’s Law | Given enough eyeballs, all bugs are shallow. via predicate surface "hasAlternativeFormulation" ⓘ |
| Foundations of a General Theory of Sequential Decision Functions | probabilistic models of observations via predicate surface "mathematicalFormulation" ⓘ |
| Foundations of a General Theory of Sequential Decision Functions | decision rules mapping histories to actions via predicate surface "mathematicalFormulation" ⓘ |
| Foundations of a General Theory of Sequential Decision Functions | expected loss criteria via predicate surface "mathematicalFormulation" ⓘ |
| Ge'ez Bible | parchment manuscripts via predicate surface "materialForm" ⓘ |
| Ge'ez Bible | illuminated manuscripts via predicate surface "materialForm" ⓘ |
| Cauchy–Schwarz inequality | For sequences (a_i) and (b_i), (∑ a_i b_i)^2 ≤ (∑ a_i^2)(∑ b_i^2) ⓘ |
| Cauchy–Schwarz inequality | For functions f and g in L^2, |∫ f g| ≤ (∫ |f|^2)^{1/2} (∫ |g|^2)^{1/2} ⓘ |
| Cauchy–Hadamard theorem | R^{-1} = limsup_{n→∞} |a_n|^{1/n} ⓘ |
| Cauchy–Hadamard theorem | log R = - limsup_{n→∞} (1/n) log |a_n| when a_n ≠ 0 via predicate surface "hasAlternativeFormulation" ⓘ |
| cosmic censorship conjecture |
cosmic censorship conjecture
self-linksurface differs
ⓘ
surface form:
weak cosmic censorship conjecture
|
| cosmic censorship conjecture |
cosmic censorship conjecture
self-linksurface differs
ⓘ
surface form:
strong cosmic censorship conjecture
|
| Hilbert’s fourteenth problem | finite generation of intersections of polynomial rings with subfields of their fraction fields via predicate surface "hasAlternativeFormulation" ⓘ |
|
similar to Ribbon of Saint George
surface form:
Ribbon of Saint George
|
fabric ribbon via predicate surface "materialForm" ⓘ |
| Niconovum AB | oral nicotine delivery ⓘ |
| Niconovum AB | inhaled nicotine delivery ⓘ |
| London theory of superconductivity |
London equations
via predicate surface "mathematicalFormulation"
ⓘ
surface form:
first London equation
|
| London theory of superconductivity | second London equation via predicate surface "mathematicalFormulation" ⓘ |
| Vienna manuscript | codex via predicate surface "materialForm" ⓘ |
| Grothendieck–Riemann–Roch theorem | Grothendieck’s original formulation in the language of schemes ⓘ |
| Grothendieck–Riemann–Roch theorem | formulation using Chow groups ⓘ |
| Grothendieck–Riemann–Roch theorem | formulation using algebraic K-theory ⓘ |
| Grothendieck topology |
Grothendieck topology
via predicate surface "hasAlternativeFormulation"
self-linksurface differs
ⓘ
surface form:
Grothendieck pretopology
|
| Erfurt manuscript | manuscript codex via predicate surface "materialForm" ⓘ |
| Koebe quarter theorem | for normalized univalent f with f(0)=0 and f'(0)=1, the image contains the disk of radius 1/4 centered at 0 via predicate surface "hasAlternativeFormulation" ⓘ |
| Byzantine Synaxarion | manuscript via predicate surface "materialForm" ⓘ |
| Byzantine Synaxarion | printed book via predicate surface "materialForm" ⓘ |
| Ruxience | concentrate for solution for infusion ⓘ |
| Stadium paradox | apparent contradiction in relative speed via predicate surface "formulates" ⓘ |
| United States postage stamps | adhesive label via predicate surface "materialForm" ⓘ |
| brachistochrone problem | minimization of a time functional over admissible curves via predicate surface "mathematicalFormulation" ⓘ |
| DTCP | policies governing export of defense-related articles via predicate surface "formulates" ⓘ |
| DTCP | policies governing export of defense-related services via predicate surface "formulates" ⓘ |
| Gelfand–Naimark theorem |
Gelfand representation of commutative C*-algebras
ⓘ
surface form:
commutative Gelfand–Naimark theorem
|
| Gelfand–Naimark theorem |
noncommutative geometry
ⓘ
surface form:
noncommutative Gelfand–Naimark theorem
|
| Photometria | cosine law of illumination via predicate surface "formulates" ⓘ |
| Mundell-Fleming model | system of linear equations via predicate surface "mathematicalFormulation" ⓘ |