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Mathematical concept
In mathematics, the Hasse derivative is a generalisation of the derivative which allows the formulation of Taylor's theorem in coordinate rings of algebraic
Hasse_derivative
Fundamental construction of differential calculus
of the derivative Fractal derivative – Generalization of derivative to fractals Hasse derivative – Mathematical concept Logarithmic derivative – Mathematical
Generalizations of the derivative
Generalizations_of_the_derivative
Algebraic generalization of the derivative
derivations are tangent vectors Kähler differential Hasse derivative p-derivation Wirtinger derivatives Derivative of the exponential map Bourbaki, Nicolas (1989)
Derivation (differential algebra)
Derivation_(differential_algebra)
Discrete analog of a derivative
associated difference quotients) are often used as approximations of derivatives, such as in numerical differentiation. The difference operator, commonly
Finite_difference
specifically in p-adic analysis, the Artin–Hasse exponential, introduced by Emil Artin and Helmut Hasse in 1928, is the power series given by E p ( x
Artin–Hasse_exponential
zeta function Z(V, s) (sometimes called the congruent zeta function or the Hasse–Weil zeta function) is defined as Z ( V , s ) = exp ( ∑ k = 1 ∞ N k k
Local_zeta_function
Order-preserving mathematical function
with truth values has no upward edge from true to false. (This labelled Hasse diagram is the dual of the function's labelled Venn diagram, which is the
Monotonic_function
Accelerating change Approximating natural exponents (log base e) Artin–Hasse exponential Bacterial growth Baker–Campbell–Hausdorff formula Carlitz exponential
List_of_exponential_topics
Model of intermolecular interactions
Lennard-Jones fluids have been compiled by Bell et al. and Lautenschaeger and Hasse. Figure on the right shows the phase diagram of the Lennard-Jones fluid
Lennard-Jones_potential
Interaction potential
1016/j.fluid.2023.113876. ISSN 0378-3812. Lenhard, Johannes; Stephan, Simon; Hasse, Hans (February 2024). "A child of prediction. On the History, Ontology
Mie_potential
Conjecture on zeros of the zeta function
an analogue of the Riemann hypothesis for them, which has been proved by Hasse in the genus 1 case and by Weil (1948) in general. For instance, the fact
Riemann_hypothesis
Analytic function in mathematics
series appeared in an appendix to Hasse's paper, and was published for the second time by Jonathan Sondow in 1994. Hasse also proved the globally converging
Riemann_zeta_function
Chemical compound
National Institute for Occupational Safety and Health (NIOSH). Krebs, B.; Hasse, K. D. (1976). "Refinements of the Crystal Structures of KTcO4, KReO4 and
Osmium_tetroxide
Unproved conjecture in mathematics
a number field K {\displaystyle K} and the behaviour of its associated Hasse–Weil L-function L ( E , s ) {\displaystyle L(E,s)} at s = 1 {\displaystyle
Birch and Swinnerton-Dyer conjecture
Birch_and_Swinnerton-Dyer_conjecture
Special function in mathematics
representation defined for (real) a > 0 and any complex s ≠ 1 was given by Helmut Hasse in 1930: ζ ( s , a ) = 1 s − 1 ∑ n = 0 ∞ 1 n + 1 ∑ k = 0 n ( − 1 ) k ( n
Hurwitz_zeta_function
Weak organic acid
acidifier, flavoring, preservative, and chelating agent. A citrate is a derivative of citric acid; that is, the salts, esters, and the polyatomic anion found
Citric_acid
American actor (born 1964)
agent protecting a former First Lady; however, it was dismissed as being derivative by some critics. He next starred alongside Bridget Fonda in the romantic
Nicolas_Cage
Günther; Lemmermeyer, Franz; Roquette, Peter J. (2014). Emil Artin and Helmut Hasse: The Correspondence 1923-1958. Springer Science & Business Media. p. 215
List_of_conjectures
Topics referred to by the same term
matrix in which each ascending skew-diagonal from left to right is constant Hasse–Witt matrix Hat matrix Hermitian matrix, a complex square matrix that is
H-matrix
A. M. Bach (1725) No. 28 Polonaise G maj. Keyboard 432: 39 V/4: 106 by Hasse 01441 II 131 III c.1745? Notebook A. M. Bach (1725) No. 32 F maj. Keyboard
List of compositions by Johann Sebastian Bach
List_of_compositions_by_Johann_Sebastian_Bach
Legal cultivators, producers, consumers, and associated services
services, regulators and researchers concerning cannabis and its industrial derivative, hemp. The cannabis industry has been inhibited by regulatory restrictions
Cannabis_industry
Mathematical descriptions of molecular diffusion
(2): 189–199. doi:10.1021/i160018a007. ISSN 0196-4313. Schmitt, Sebastian; Hasse, Hans; Stephan, Simon (17 March 2025). "Entropy scaling for diffusion coefficients
Fick's_laws_of_diffusion
Properties of mathematical relationships
linear operators. Important examples of linear operators include the derivative considered as a differential operator, and other operators constructed
Linearity
Model for describing diffusion
(2): 189–199. doi:10.1021/i160018a007. ISSN 0196-4313. Schmitt, Sebastian; Hasse, Hans; Stephan, Simon (2025-03-17). "Entropy scaling for diffusion coefficients
Maxwell–Stefan_diffusion
Mathematical constant
}{\frac {{\text{Ci}}(2k\pi )}{k^{2}}}={\frac {\pi ^{2}}{2}}(4\ln A-1)} Helmut Hasse gave another series representation for the logarithm of Glaisher's constant
Glaisher–Kinkelin_constant
Polynomial equation whose integer solutions are sought
{\displaystyle {\sqrt {3}}} , centered at the origin. More generally, the Hasse principle allows deciding whether a homogeneous Diophantine equation of
Diophantine_equation
American rapper (born 1984)
cancelled his entire concert tour". MLive.com. December 2, 2015. Lemola, Hasse (December 2, 2015). "Kid Cudi Cancels 'Especial' Tour". Hypebeast. Fleischer
Kid_Cudi
Citrus fruit
(17 May 2013). "Citrus genus plants contain N-methylated tryptamine derivatives and their 5-hydroxylated forms". Journal of Agricultural and Food Chemistry
Bergamot_orange
of functions have derivatives of all orders. In the case of an absolutely monotonic function, the function as well as its derivatives of all orders must
Absolutely and completely monotonic functions and sequences
Absolutely_and_completely_monotonic_functions_and_sequences
About simultaneous modular congruences
\prod _{i\in I}k.} Consequently, (αi)i∈I = (0)i∈I. QED. Covering system Hasse principle Residue number system "DLMF: §27.15 Chinese Remainder Theorem
Chinese_remainder_theorem
algorithms List of axioms List of conjectures List of data structures List of derivatives and integrals in alternative calculi List of equations List of fundamental
List_of_theorems
Algebraic curve in mathematics
side, an important ingredient is a function of a complex variable, L, the Hasse–Weil zeta function of E over Q. This function is a variant of the Riemann
Elliptic_curve
Theorem on polynomial roots modulo prime powers
Henselian property and remaining in the same category[clarification needed]. Hasse–Minkowski theorem Newton polygon Locally compact field Lifting-the-exponent
Hensel's_lemma
Russian mathematician
is the study of functional equation and meromorphic continuation of the Hasse zeta function of a proper regular model of an elliptic curve over a global
Ivan_Fesenko
Music genre
popularizing more traditional country music in Sweden have been Ann-Louise Hanson, Hasse Andersson, Kikki Danielsson, Elisabeth Andreassen and Jill Johnson. In Poland
Country_music
Art form combining sung text and musical score in a theatrical setting
German composers of the time, including Handel himself, as well as Graun, Hasse and later Gluck, chose to write most of their operas in foreign languages
Opera
Citrus fruit and plant
especially sensitive to ultraviolet light. 'Mexican' lime and its clonal derivatives like 'West Indian' lime, 'Kagzi' lime and 'Key' lime are the most common
Key_lime
Washington Post. 30 March 2017. Retrieved 2017-03-30.[permanent dead link] Hasse, Javier (12 November 2020). "Argentina Regulates Medical Cannabis Self-Cultivation
Cannabis_in_Argentina
Difference between logarithm and harmonic series
(2): 17–22. Blagouchine, Iaroslav V. (2018). "Three notes on Ser's and Hasse's representations for the zeta-functions". INTEGERS: The Electronic Journal
Euler's_constant
1945 British film
as portrayed by Basil Radford and Naunton Wayne in the segment, are derivative of the characters Charters and Caldicott from Alfred Hitchcock's The Lady
Dead_of_Night
Name list
yehokhanán, Yehohanan (Hebrew) Yohanna (Arabic: يوحنا) the Arabic language derivative, used among Arabic-speaking Christians Yahya (Arabic: يحيى), used among
Hans_(given_name)
Mathematical function
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z )
Digamma_function
Chemical compound
the derivative with tert-butyl groups on the biphenyl. Rotation about the single bond in biphenyl, and especially its ortho-substituted derivatives, is
Biphenyl
Citrus fruit
reached European languages through Persian نارنگ (nārang) and its Arabic derivative نارنج (nāranj). The word entered Late Middle English in the 14th century
Orange_(fruit)
Chemical compound
structure and pharmacological action from the analgesic morphine and its derivatives (such as codeine). One study has suggested that excessive consumption
Papaverine
Phytocannabinoid discovered in 1940
Toxicologie Analytique (in French). 15 (4): 250–259. doi:10.1051/ata/2003003. Hasse J. "This EU country has become the first to allow free sale Of CBD". Forbes
Cannabidiol
Transport of dissolved species from the highest to the lowest concentration region
(2): 189–199. doi:10.1021/i160018a007. ISSN 0196-4313. Schmitt, Sebastian; Hasse, Hans; Stephan, Simon (2025-03-17). "Entropy scaling for diffusion coefficients
Diffusion
Bruce Medal 2007; National Air and Space Museum Director 1987–95 Clara H. Hasse (Ph B 1903), botanist Duff Holbrook (M.S.), wildlife biologist and forester
List of University of Michigan alumni
List_of_University_of_Michigan_alumni
Algebraic structure with addition, multiplication, and division
This technique is called the local–global principle. For example, the Hasse–Minkowski theorem reduces the problem of finding rational solutions of quadratic
Field_(mathematics)
Adages and sayings named after a person
an analog communications channel. Named for Ralph Hartley (1888–1970). Hasse principle is the idea that one can find an integer solution to an equation
List_of_eponymous_laws
President of Argentina from 2019 to 2023
2021. Archived from the original on 27 March 2022. Retrieved 21 July 2021. Hasse, Javier (12 November 2020). "Argentina Regulates Medical Cannabis Self-Cultivation
Alberto_Fernández
Complete Boolean algebra Interior algebra Two-element Boolean algebra Derivative algebra (abstract algebra) Free Boolean algebra Monadic Boolean algebra
List of Boolean algebra topics
List_of_Boolean_algebra_topics
Algebraic structure
considering their reductions modulo some or all prime numbers. See, for example, Hasse principle. Many recent developments of algebraic geometry were motivated
Finite_field
Full-time body at the head of the Prussian Army and German Army
German Army and General Staff, 1897–1945. London: Prentice Hall. largely derivative in nature (Goerlitz and others) but easy reading Dyer, Gwynne (1985).
German_General_Staff
Meromorphic function on the complex plane
"zeta-function" are often used synonymously due to the fundamentally similar and derivative nature of the work, however, not all zeta-functions are L-functions. Most
L-function
Theoretical object in mathematics
which is a field extension of k. Each such function field gives rise to a Hasse–Weil zeta function ζF, and the Riemann hypothesis for finite fields determines
Field_with_one_element
Square matrices satisfy their characteristic equation
equal to A, and the conclusion is reached differently. Basic properties of Hasse–Schmidt derivations on the exterior algebra A = ⋀ M {\textstyle A=\bigwedge
Cayley–Hamilton_theorem
Inverse of a finite difference
role for finite differences that the indefinite integral plays for the derivative. An indefinite sum is not unique: adding any 1-periodic function C ( x
Indefinite_sum
Computer simulations to discover and understand chemical properties
.136..405R. doi:10.1103/PhysRev.136.A405. Stephan S, Thol M, Vrabec J, Hasse H (October 2019). "Thermophysical Properties of the Lennard-Jones Fluid:
Molecular_dynamics
Endurance Grand Tourer developed by Aston Martin Racing
and is the successor of the Aston Martin Vantage GT2 and its later derivatives. The car was launched on the 22nd of November 2017, alongside its road-going
Aston Martin Vantage GTE (2018)
Aston_Martin_Vantage_GTE_(2018)
Concept on molecular modeling
ISBN 978-0-582-38210-7. Stephan, Simon; Horsch, Martin T.; Vrabec, Jadran; Hasse, Hans (2019-07-03). "MolMod – an open access database of force fields for
Force_field_(chemistry)
Mixture of liquids whose proportions do not change when distilled
2009. doi:10.1016/0140-6701(95)96948-c. ISSN 0140-6701. Fertig, David; Hasse, Hans; Stephan, Simon (December 2002). "Transport properties of binary Lennard-Jones
Azeotrope
2007 copyright lawsuit
questions. They refused to show us any details." RDR Books retained Lizbeth Hasse, from the Creative Industry Law Group in San Francisco, who recommended
Warner Bros. Entertainment Inc. v. RDR Books
Warner_Bros._Entertainment_Inc._v._RDR_Books
Führer durch das Museum für Kunst- und Kulturgeschichte zu Lübeck, 1915 Max Hasse, Der Lübecker Passionsaltar Hans Memlings als Denkmal mittelalterlicher
St. Anne's Museum Quarter, Lübeck
St._Anne's_Museum_Quarter,_Lübeck
contraction. In western Germany, -t- might be lost as well, resulting in bisse, hasse and the like. In Upper German regions, the phenomenon often goes so far
German_verbs
Protein-coding gene in the species Homo sapiens
1158/1078-0432.CCR-10-0637. PMID 20592014. S2CID 12502978. Krawczyk A, Hasse-Lazar K, Pawlaczek A, Szpak-Ulczok S, Krajewska J, Paliczka-Cieslak E, et al
SDHB
Functions for calculating potential energy
.463J. doi:10.1098/rspa.1924.0082.. Lenhard, Johannes; Stephan, Simon; Hasse, Hans (June 2024). "On the History of the Lennard-Jones Potential". Annalen
Interatomic_potential
Mathematical concept named for Ernst Witt
underlying ring is p-adically complete. p-derivation Formal group Artin–Hasse exponential Necklace ring Fisher, Benji (1999). "Notes on Witt Vectors:
Witt_vector
Count of permutations by cycles
\quad k=1,2,3,\ldots } This series generalizes Hasse's series for the Hurwitz zeta-function (we obtain Hasse's series by setting k=1). The next estimate given
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
German mathematician (born 1958)
elliptic curve over a finite field, and Hesselholt (2016) showed that the Hasse-Weil zeta-function of a smooth proper variety over Fp can be expressed using
Christopher_Deninger
American knot theorist Asma Hassannezhad, Iranian spectral geometer Maria Hasse (1921–2014), German graph theorist, set theorist, and category theorist
List_of_women_in_mathematics
but instead provide a slogan for or illustration of a correct principle. Hasse's local-global principle is a particularly influential example of this.[citation
Glossary of mathematical jargon
Glossary_of_mathematical_jargon
Type of mathematical functions
algebraischen Theorie der algebraischen Funktionen. (Aus einem Brief an H. Hasse.)". Journal für die reine und angewandte Mathematik. 179: 129–133. doi:10
Function of several complex variables
Function_of_several_complex_variables
poets, author of the renowned Pedra Filosofal. David Mourão-Ferreira, Fiama Hasse Pais Brandão, Ruy Belo and others are also included in the restricted elitist
Portuguese_contemporary_art
Variety of plant
limonene at 94%, and it contains smaller amounts of sesquiterpenes and its derivatives. The rind of the fruit contains antioxidant substances and the leaves
Pompia
Constants in the zeta function's Laurent series expansion
arXiv:0901.2083 Blagouchine, Iaroslav V. (2018). "Three notes on Ser's and Hasse's representations for the zeta-functions" (PDF). INTEGERS: The Electronic
Stieltjes_constants
non-trivial case of the Riemann Hypothesis for curves over finite fields (the Hasse–Weil theorem). Peter Gustav Lejeune Dirichlet (1837) Pioneering paper in
List of publications in mathematics
List_of_publications_in_mathematics
form by Schur and by Emil Artin, which has also been dubbed Verlagerung by Hasse. Note that, in general, the pre-transfer is neither independent of the transversal
Artin_transfer_(group_theory)
Argentine presidency from 2019 to 2023
espías". La Nación (in Spanish). 1 March 2020. Retrieved 22 February 2022. Hasse, Javier (12 November 2020). "Argentina Regulates Medical Cannabis Self-Cultivation
Presidency of Alberto Fernández
Presidency_of_Alberto_Fernández
HASSE DERIVATIVE
HASSE DERIVATIVE
Surname or Lastname
English
English : from Middle English hals ‘neck’ (Old English h(e)als). This was a nickname for a man with a long neck or for a conspicuous sufferer from goiter (a common affliction in medieval times).English (Devon) : topographic name denoting someone living on a neck of land (from Middle English atte halse ‘at the neck’), or a habitational name from either of two places in Devon and Somerset named Halse, from this word. To a lesser extent Halse in Northamptonshire, named from Old English hals + hÅh ‘ridge’, may also have contributed to the surname.Norwegian : habitational name from any of three farmsteads in the county of Møre og Romsdal. The farmsteads are so named from the Old Norse dative singular of hals ‘neck’, referring to a neck of land, or a ridge between two valleys.
Surname or Lastname
English
English : variant of Mace 1.French (Picardy) : metonymic occupational name from masse ‘mace’, ‘hammer’.French : habitational name from places called Masse (Allier and Cô-d’Or), or La Masse (Eure, Lot, Puy-de-Dôme, Saône-et-Loire).French (Massé) : habitational name from a place called Massé in Maine-et-Loire, so named from Gallo-Roman Macciacum (from the personal name Maccius + the locative suffix -acum).Dutch : from Middle Dutch masse ‘clog’; ‘cudgel’, perhaps a metonymic occupational name for someone who wielded a club.Dutch : possibly a variant of Maas 1, or a patronymic from Mas.
Boy/Male
Greek
People's victory.
Surname or Lastname
English
English : variant spelling of Pass.French : possibly a nickname from passe ‘sparrow’.
Boy/Male
Biblical
That makes haste, that keeps silence.
Boy/Male
Biblical
Man of haste; or of silence.
Girl/Female
Gujarati, Hindu, Indian
Laughter; Smiling; Smile
Boy/Male
Danish, German, Swedish
God is Gracious
Male
Swedish
Swedish pet form of German Hans, HASSE means "God is gracious."Â
Male
Scandinavian
Pet form of Scandinavian Lars, LASSE means "laurel."
Surname or Lastname
English and French
English and French : metonymic occupational name for a turnspit, i.e. a servant who turned the spit, from Old French haste ‘(roasting) spit’.A bearer of the name Haste from Paris is documented in Montreal in 1662.
Boy/Male
Danish, Finnish, German, Greek, Swedish
People's Victory; Laurel; Bay; Man from Laurentum
Surname or Lastname
Possibly an altered spelling of Haase.English
Possibly an altered spelling of Haase.English : variant spelling of Hawes.
Biblical
that makes haste; that keeps silence
Girl/Female
Biblical
Their haste, their sensuality, their silence.
Boy/Male
Biblical
Man of haste; or of silence.
Surname or Lastname
German
German : nickname for a swift runner or a timorous person, from Middle High German, Middle Low German hase ‘hare’.Jewish (Ashkenazic) : ornamental name from German Hase ‘hare’.English : from a Middle English nickname, Hase, from Old English hÄs ‘harsh, raucous, or hoarse voice’.Japanese : usually written with characters meaning ‘long valley’; habitational name from a place in Yamato (now Nara prefecture). Listed in the Shinsen shÅjiroku. Some bearers are descended from the Taira clan; they are found mainly in eastern Japan. Also pronounced Nagaya and Nagatani; the original pronunciation was Hatsuse, meaning ‘beginning of the strait’.
Boy/Male
Teutonic
Strong advisor.
Surname or Lastname
German and Dutch
German and Dutch : variant of Hass 1.English : topographic name from an unattested Old English word, hasse ‘coarse grass’, or a habitational name from a minor place, such as The Hasse in Soham, Cambridgeshire, named from this word.
Girl/Female
Gujarati, Hindu, Indian
Strong; Happy; Smile; Laugh
HASSE DERIVATIVE
HASSE DERIVATIVE
HASSE DERIVATIVE
HASSE DERIVATIVE
HASSE DERIVATIVE
HASSE DERIVATIVE
HASSE DERIVATIVE