H. Hauptman

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All published works

Action	Title	Year	Authors
+	Direct methods: a paradox with regard to the convergence of random phase trials toward solutions	2011	D. A. Langs H. Hauptman
+	Phase Problem of <scp>X</scp> ‐Ray Crystallography, Probabilistic Methods in The	2004	H. Hauptman
+ PDF Chat	On integrating the techniques of direct methods and SIRAS. II. The initial applications	2002	Hao Xu H. Hauptman
+	Problem-solving strategies for efficient and elegant solutions: a resource for the mathematics teacher	1999	Alfred S. Posamentier Stephen Krulik H. Hauptman
+	The Phase Problem: A Problem in Constrained Global Optimization	1998	H. Hauptman
+ PDF Chat	The SAS maximal principle	1996	H. Hauptman
+	Triplet and Quartet Relationships and the 'Positivity' Postulate	1994	D. Y. Guo R. H. Blessing H. Hauptman
+	History of X-ray crystallography	1991	H. Hauptman
+	The Neighborhood Principle and the Extension Concept	1991	H. Hauptman
+	The Minimal Principle Solves Some Crystal Structures	1991	H. Hauptman D. Velmurugan Fusen Han
+ PDF Chat	Overview of direct methods, with anomalous dispersion	1987	H. Hauptman
+	On integrating the techniques of direct methods with anomalous dispersion. I. The theoretical basis. Corringenda	1986	H. Hauptman
+	Estimating the three-phase structure invariants<i>via</i>their second neighborhoods	1985	H. Hauptman
+	A simple interpretation of integrated direct methods – isomorphous replacement probability distributions	1984	S. Fortier Charles M. Weeks H. Hauptman
+ PDF Chat	Estimating the three-phase structure invariant<i>via</i>its quintet extension	1984	H. Hauptman
+ PDF Chat	Integrating techniques of direct methods with anomalous dispersion	1981	H. Hauptman
+	Quintets in<i>P</i>\overline{1}: probabilistic theory of the five-phase structure invariant in the space group<i>P</i>\overline{1}	1977	S. Fortier H. Hauptman
+	A sequence of nested neighborhoods of the structure invariant φ<sub>h</sub>+ φ<sub>k</sub>+ φ<sub>l</sub>+ φ<sub>m</sub>	1977	H. Hauptman
+	Conditional probability distributions of the four-phase structure invariant φ<sub><b>h</b></sub>+ φ<sub><b>k</b></sub>+ φ<sub><b>l</b></sub>+ φ<sub><b>m</b></sub>in<i>P</i>\overline{1}	1976	H. Hauptman E. A. Green
+	On the theory and estimation of the cosine invariants cos(φ<sub><i>l</i></sub>+ φ<sub><i>m</i></sub>+ φ<sub><i>n</i></sub>+ φ<sub><i>p</i></sub>)	1974	H. Hauptman
+	On the identity and estimation of those cosine invariants, cos(φ<sub><i>l</i></sub>+ φ<sub><i>m</i></sub>+ φ<sub><i>n</i></sub>+ φ<sub><i>p</i></sub>), which are probably negative	1974	H. Hauptman
+	Formulas for the cosine seminvariants, cos(ϕ<sub>1</sub> + ϕ<sub>2</sub>)	1972	H. Hauptman
+	Probability Distribution of Three Structure Factors and Applications	1972	H. Hauptman
+	The Calculation of the Cosine Seminvariants	1972	H. Hauptman
+	The Joint Probability Distribution of Two Structure Factors and Related Conditional Distributions and Expectation Values	1972	H. Hauptman
+	The probability distributions of several structure factors and their magnitudes	1971	H. Hauptman
+	Table of All Primitive Roots for Primes Less Than 5000	1971	D. S. H. Hauptman Emanuel Vegh Janet Fisher
+	The squared-tangent formula	1970	H. Hauptman
+	Σ<sub>1</sub>formulas for the primitive, centrosymmetric, orthorhombic space groups	1970	Charles M. Weeks H. Hauptman
+	On the strong equivalence of structure invariants	1966	H. Hauptman
+	On the equivalence of structure invariants	1966	H. Hauptman
+	Positivity, point atoms and Pattersons	1964	Jean M. Karle H. Hauptman
+	Some new relationships among the structure invariants	1963	H. Hauptman
+ PDF Chat	Seminvariants for centrosymmetric space group with conventional centered cells	1959	H. Hauptman J. Karle
+ PDF Chat	A unified algebraic approach to the phase problem. II. Space group<i>P</i>1	1957	J. Karle H. Hauptman
+ PDF Chat	Structure invariants and seminvariants for noncentrosymmetric space groups	1956	H. Hauptman J. Karle
+	Solution of the phase problem for space group<i>P</i>\overline{1}	1954	H. Hauptman J. Karle
+ PDF Chat	Locating the principal maxima of a Fourier series	1953	H. Hauptman Jean M. Karle
+	A geometric approach to the crystal structure problem	1950	H. Hauptman J. Karle

Common Coauthors

Coauthor	Papers Together
J. Karle	5
S. Fortier	2
Charles M. Weeks	2
Jean M. Karle	2
Alfred S. Posamentier	1
Emanuel Vegh	1
Hao Xu	1
Fusen Han	1
D. Y. Guo	1
Janet Fisher	1
Stephen Krulik	1
R. H. Blessing	1
D. A. Langs	1
E. A. Green	1
D. Velmurugan	1
D. S.	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The statistical theory of sign relationships	1954	M. M. Woolfson	4
+	Solution of the phase problem for space group<i>P</i>\overline{1}	1954	H. Hauptman J. Karle	2
+	The probability distributions of several structure factors and their magnitudes	1971	H. Hauptman	2
+	Ordre logarithmique des densités de répartition. I	1960	E. F. Bertaut	2
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	2
+	A theory of the joint probability distribution of complex-valued structure factors	1965	S. Naya Isamu Nitta T. Oda	2
+	The Minimal Principle Solves Some Crystal Structures	1991	H. Hauptman D. Velmurugan Fusen Han	1
+ PDF Chat	A unified algebraic approach to the phase problem. II. Space group<i>P</i>1	1957	J. Karle H. Hauptman	1