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Start Over Descriptor "Picard–Lindelöf theorem" Journal the american mathematical monthly
140 results on '"Picard–Lindelöf theorem"'

1. A Counting Proof of a Theorem of Frobenius

Author

David E Speyer

Subjects
Discrete mathematics, Finite group, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, General Mathematics, 010102 general mathematics, Combinatorial proof, 01 natural sciences, Combinatorics, symbols.namesake, 0103 physical sciences, symbols, 010307 mathematical physics, 0101 mathematics, Mathematics, Frobenius theorem (real division algebras)
Abstract

Frobenius showed that, if m divides the order of a finite group, then the number of m-torsion elements in that group is divisible by m. We provide a quick combinatorial proof.

Published
2017

2. A More Direct Proof of the Extreme Value Theorem

Author

Haryono Tandra

Subjects
Discrete mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Fundamental theorem, General Mathematics, Least-upper-bound property, 010102 general mathematics, Proof of impossibility, 01 natural sciences, Danskin's theorem, 0101 mathematics, Brouwer fixed-point theorem, Mathematics, Analytic proof
Abstract

(2017). A More Direct Proof of the Extreme Value Theorem. The American Mathematical Monthly: Vol. 124, No. 5, pp. 464-464.

Published
2017

3. A Proof of Bonnet’s Version of the Mean Value Theorem by Methods of Cauchy

Author

Joseph Plante

Subjects
Pure mathematics, Picard–Lindelöf theorem, Simple (abstract algebra), General Mathematics, Mean value theorem (divided differences), Calculus, Cauchy distribution, Differentiable function, Function (mathematics), Extreme value theory, Value (mathematics), Mathematics
Abstract

The proof of the mean value theorem for differentiable functions presented in modern calculus texts is due to Bonnet (1860s) and depends in an essential way on the extreme value property for continuous functions proved by Weierstrass (1861). This proof of the mean value theorem has intuitive quality but mainstream texts omit the proof of Weierstrass's result on account of its difficulty, thereby depriving the reader of a complete proof of the mean value theorem. Forty years earlier, Cauchy proved the intermediate value property for continuous functions and made a significant but flawed effort to prove a mean value inequality. This note presents a proof of the modern mean value theorem using methods of Cauchy. The key geometrical insight is provided by a simple inequality involving the slopes of sides of a triangle whose vertices lie in the graph of the function. This inequality motivates the use of the intermediate value property in the proof of the mean value theorem and facilitates final determi...

Published
2017

4. On the Radon–Nikodym Theorem

Author

George Koumoullis

Subjects
Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, 010102 general mathematics, Fixed-point theorem, 01 natural sciences, Squeeze theorem, 0103 physical sciences, Danskin's theorem, 010307 mathematical physics, 0101 mathematics, Brouwer fixed-point theorem, Mathematics, Carlson's theorem, Mean value theorem
Abstract

(|f | 2)x, and K(x, t) = ^((1 + t)f(x) (1 *)/(-*)). The map K is an odd map. It is continuous and compact if / is. We have N(K) n S x (? 1, 1) = 0, since l|?(*,OII V. Analyzing Su's definition (for brevity these straightforward calculations are omitted) one obtains

Published
2008

5. The Cauchy Integral Theorem

Author

Peter D. Lax

Subjects
Physics, Continuous function (set theory), Picard–Lindelöf theorem, General Mathematics, Mathematical analysis, Residue theorem, Combinatorics, symbols.namesake, symbols, Green's theorem, Cauchy's integral theorem, Complex plane, Cauchy's integral formula, Mean value theorem
Abstract

Theorem. Let D be a domain in the complex plane, f(z) an analytic function in D, C a closed curve that is described by a continuously differentiable function z(s) (0 < s < 1) with z(0) = z(l) and zf(0) = z'(\). Suppose that C is homotopic in D to a point, meaning that there is a continuous function z(s, t) (0 < s < I, 0 < t < 1) with z(0, t) = z(l, t) for all t such that z(s, 0) = z(s) for all s, and z(s, 1) is independent ofs. Then

Published
2007

6. The Poincaré-Miranda Theorem

Author

Władysław Kulpa

Subjects
Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, 010102 general mathematics, 01 natural sciences, Squeeze theorem, 0103 physical sciences, Compactness theorem, Danskin's theorem, 010307 mathematical physics, 0101 mathematics, Brouwer fixed-point theorem, Mathematics, Mean value theorem, Carlson's theorem
Abstract

(1997). The Poincare-Miranda Theorem. The American Mathematical Monthly: Vol. 104, No. 6, pp. 545-550.

Published
1997

7. A Short Proof of the Erdős-Mordell Theorem

Author

Vilmos Komornik

Subjects
Discrete mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Fundamental theorem, General Mathematics, Compactness theorem, Proof of impossibility, Brouwer fixed-point theorem, Analytic proof, Mathematics
Published
1997

8. An Elementary Proof of Lyapunov's Theorem

Author

David A. Ross

Subjects
Discrete mathematics, Pure mathematics, Factor theorem, Fundamental theorem, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, General Mathematics, symbols.namesake, Elementary proof, symbols, Danskin's theorem, Lyapunov equation, Brouwer fixed-point theorem, Mathematics
Abstract

(2005). An Elementary Proof of Lyapunov's Theorem. The American Mathematical Monthly: Vol. 112, No. 7, pp. 651-653.

Published
2005

9. A Simple Proof of a Generalized Cauchy–Binet Theorem

Author

Chai Wah Wu and Alan J. Hoffman

Subjects
Pure mathematics, 010304 chemical physics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Fundamental theorem, General Mathematics, Mathematics::Analysis of PDEs, 010402 general chemistry, 01 natural sciences, 0104 chemical sciences, 0103 physical sciences, Elementary proof, Compactness theorem, Danskin's theorem, Brouwer fixed-point theorem, Analytic proof, Mathematics
Abstract

The Cauchy–Binet theorem is the main step in proving the multiplicative property of compound matrices. We present here a novel elementary proof of a generalization of the Cauchy–Binet theorem using...

Published
2016

10. A Vector Proof of a Theorem of Bang

Author

Mowaffaq Hajja

Subjects
Discrete mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, General Mathematics, Brouwer fixed-point theorem, Mathematics
Abstract

(2001). A Vector Proof of a Theorem of Bang. The American Mathematical Monthly: Vol. 108, No. 6, pp. 562-564.

Published
2001

11. A Simple Proof of the Jordan Decomposition Theorem for Matrices

Author

Israel Gohberg and Seymour Goldberg

Subjects
Jordan's lemma, Algebra, Jordan matrix, symbols.namesake, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Simple (abstract algebra), General Mathematics, symbols, Brouwer fixed-point theorem, Mathematics, Jordan decomposition
Abstract

(1996). A Simple Proof of the Jordan Decomposition Theorem for Matrices. The American Mathematical Monthly: Vol. 103, No. 2, pp. 157-159.

Published
1996

12. An Elementary Proof of a Generalization of Banach’s Mapping Theorem

Author

Ming-Chia Li

Subjects
Discrete mathematics, Picard–Lindelöf theorem, General Mathematics, Existential quantification, Elementary proof, Eberlein–Šmulian theorem, Open mapping theorem (functional analysis), Brouwer fixed-point theorem, Bounded inverse theorem, Mathematics
Abstract

We give an elementary proof of a generalization of Banach's mapping theorem, which says that for any two mappings f : A → B and g : B → A, there exists a subset A0 of A such that g(B\f(A0)) = A\A0.

Published
2014

13. Proving the Banach–Alaoglu Theorem via the Existence of the Stone–Čech Compactification

Author

Hossein Hosseini Giv

Subjects
Discrete mathematics, Pure mathematics, Tychonoff's theorem, Picard–Lindelöf theorem, Fundamental theorem, General Mathematics, Banach–Alaoglu theorem, Compactness theorem, Eberlein–Šmulian theorem, Mathematics::General Topology, Danskin's theorem, Brouwer fixed-point theorem, Mathematics
Abstract

The Banach–Alaoglu theorem is an important result in functional analysis whose standard proof relies on Tychonoff's theorem. In this note, the theorem is proved by assuming the existence of the Sto...

Published
2014

14. A Direct Proof and a Transcendental Version of the Fundamental Theorem of Algebra via Cauchy’s Theorem

Author

Bao Qin Li

Subjects
Discrete mathematics, Fundamental theorem of algebra, Pure mathematics, Factor theorem, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, Residue theorem, Fundamental theorem of linear algebra, Cauchy's integral theorem, Brouwer fixed-point theorem, Computer Science::Databases, Mathematics
Abstract

We will show that Cauchy's theorem implies the Fundamental Theorem of Algebra in a direct and elementary manner. Furthermore, the argument can be used to give a transcendental version of the theore...

Published
2014

15. An Elementary Application of Brouwer’s Fixed Point Theorem to Transition Matrices

Author

Allan J. Kroopnick

Subjects
Pure mathematics, Schauder fixed point theorem, Picard–Lindelöf theorem, General Mathematics, Fixed-point theorem, Fixed point, Fixed-point property, Kakutani fixed-point theorem, Brouwer fixed-point theorem, Sperner's lemma, Mathematics
Abstract

(2014). An Elementary Application of Brouwer's Fixed Point Theorem to Transition Matrices. The American Mathematical Monthly: Vol. 121, No. 5, pp. 415-415.

Published
2014

16. A Proof of the Cayley-Hamilton Theorem

Author

Chris Bernhardt

Subjects
Discrete mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Fundamental theorem, General Mathematics, Compactness theorem, Danskin's theorem, Original proof of Gödel's completeness theorem, Brouwer fixed-point theorem, Carlson's theorem, Mathematics
Abstract

(2009). A Proof of the Cayley-Hamilton Theorem. The American Mathematical Monthly: Vol. 116, No. 5, pp. 456-457.

Published
2009

17. A Direct Proof of the Existence of Eigenvalues and Eigenvectors by Weierstrass’s Theorem

Author

Jean Van Schaftingen

Subjects
Picard–Lindelöf theorem, General Mathematics, MathematicsofComputing_NUMERICALANALYSIS, Mathematical proof, Algebra, Linear map, symbols.namesake, Fundamental theorem of algebra, TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES, TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMS, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Weierstrass factorization theorem, symbols, Direct proof, Eigenvalues and eigenvectors, Mathematics, Analytic proof
Abstract

I propose a proof of the existence of the existence of eigenvectors and eigenvalues in the spirit of Argand's proof of the fundamental theorem of algebra. The proof only relies on Weierstrass's theorem, the definition of the inverse of a linear operator and algebraic identities.

Published
2013

18. The Twin of a Theorem by Cauchy

Author

Aaron Melman

Subjects
Cauchy problem, Pure mathematics, Polynomial, Hardware_MEMORYSTRUCTURES, Picard–Lindelöf theorem, General Mathematics, Residue theorem, Fundamental theorem of algebra, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Data_FILES, Astrophysics::Earth and Planetary Astrophysics, Cauchy's integral theorem, Astrophysics::Galaxy Astrophysics, Cauchy's integral formula, Peano existence theorem, Mathematics
Abstract

A classical result by Cauchy determines a disk containing all the zeros of a given polynomial. We derive this result using only linear algebra techniques, and, in the process, discover a twin disk ...

Published
2013

19. Cauchy’s Theorem and Sylow’s Theorem from the Cyclic Case

Author

Geoffrey R. Robinson

Subjects
Picard–Lindelöf theorem, General Mathematics, Cauchy's theorem (group theory), Residue theorem, Sylow theorems, Mathematics::Analysis of PDEs, Mathematics::Algebraic Topology, Combinatorics, Mathematics::Group Theory, Mathematics::K-Theory and Homology, Danskin's theorem, Cauchy's integral theorem, Brouwer fixed-point theorem, Carlson's theorem, Mathematics
Abstract

We give a simultaneous proof of Cauchy's theorem and Sylow's theorem by reducing to the case of cyclic groups.

Published
2011

20. A Proof of Darboux's Theorem

Author

Jr. Sam B. Nadler

Subjects
Pure mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, General Mathematics, Darboux integral, Brouwer fixed-point theorem, Darboux's theorem (analysis), Mathematics
Abstract

(2010). A Proof of Darboux's Theorem. The American Mathematical Monthly: Vol. 117, No. 2, pp. 174-175.

Published
2010

21. More on a Mean Value Theorem Converse

Author

Hajrudin Fejzić and Dan Rinne

Subjects
Pure mathematics, Factor theorem, Picard–Lindelöf theorem, General Mathematics, Mean value theorem (divided differences), Converse, Mathematics
Published
1999

22. A Remark on the Erdős-Szekeres Theorem

Author

Adrian Dumitrescu

Subjects
Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, No-go theorem, Compactness theorem, Fixed-point theorem, Brouwer fixed-point theorem, Squeeze theorem, Carlson's theorem, Mathematics
Published
2005

23. A Proof of Thebault's Theorem

Author

R. Shail

Subjects
Discrete mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, General Mathematics, Thébault's theorem, Brouwer fixed-point theorem, Analytic proof, Mathematics, Wiles' proof of Fermat's Last Theorem
Abstract

(2001). A Proof of Thebault's Theorem. The American Mathematical Monthly: Vol. 108, No. 4, pp. 319-325.

Published
2001

24. A Simple Proof for Sturm's Separation Theorem

Author

Géza Makay

Subjects
Discrete mathematics, Pure mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Simple (abstract algebra), General Mathematics, Mutual fund separation theorem, Sturm separation theorem, Mathematics
Abstract

(1992). A Simple Proof for Sturm's Separation Theorem. The American Mathematical Monthly: Vol. 99, No. 3, pp. 218-219.

Published
1992

25. A Note on the Mean Value Theorem for Integrals

Author

Zhang Bao-lin

Subjects
Factor theorem, Pure mathematics, Picard–Lindelöf theorem, Fundamental theorem of calculus, General Mathematics, Mathematical analysis, Residue theorem, Integration by substitution, Brouwer fixed-point theorem, Carlson's theorem, Mathematics, Mean value theorem
Abstract

(1997). A Note on the Mean Value Theorem for Integrals. The American Mathematical Monthly: Vol. 104, No. 6, pp. 561-562.

Published
1997

26. A Moment Convergence Theorem

Author

Lajos Takács

Subjects
Dominated convergence theorem, Picard–Lindelöf theorem, General Mathematics, 010102 general mathematics, Mathematical analysis, 01 natural sciences, 0103 physical sciences, Applied mathematics, Danskin's theorem, 010307 mathematical physics, 0101 mathematics, Brouwer fixed-point theorem, Modes of convergence, Compact convergence, Mean value theorem, Carlson's theorem, Mathematics
Abstract

(1991). A Moment Convergence Theorem. The American Mathematical Monthly: Vol. 98, No. 8, pp. 742-746.

Published
1991

27. A Note on Dixon's Proof of Cauchy's Integral Theorem

Author

Peter A. Loeb

Subjects
Cauchy problem, Pure mathematics, Picard–Lindelöf theorem, Kelvin–Stokes theorem, General Mathematics, Residue theorem, Mathematical analysis, Cauchy distribution, Cauchy's integral theorem, Methods of contour integration, Cauchy's integral formula, Mathematics
Abstract

(1991). A Note on Dixon's Proof of Cauchy's Integral Theorem. The American Mathematical Monthly: Vol. 98, No. 3, pp. 242-244.

Published
1991

28. An Elementary Proof of Kolmogorov's Theorem

Author

A. S. Cavaretta

Subjects
Discrete mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Fundamental theorem, General Mathematics, Elementary proof, Probability axioms, Proof of impossibility, Brouwer fixed-point theorem, Mathematics
Abstract

(1974). An Elementary Proof of Kolmogorov's Theorem. The American Mathematical Monthly: Vol. 81, No. 5, pp. 480-486.

Published
1974

29. Cauchy's Theorem

Author

Geoffrey C. Berresford

Subjects
Cauchy problem, Pure mathematics, Cauchy's convergence test, Picard–Lindelöf theorem, General Mathematics, Cauchy's theorem (group theory), Residue theorem, Mathematical analysis, Cauchy principal value, Cauchy's integral theorem, Cauchy's integral formula, Mathematics
Published
1981

30. A Theorem on k-Solubility of Linear Equations

Author

Richard Rado

Subjects
Arzelà–Ascoli theorem, Picard–Lindelöf theorem, General Mathematics, Mean value theorem (divided differences), Mathematical analysis, Applied mathematics, Danskin's theorem, Coefficient matrix, Brouwer fixed-point theorem, Sturm separation theorem, Carlson's theorem, Mathematics
Abstract

(1974). A Theorem on k-Solubility of Linear Equations. The American Mathematical Monthly: Vol. 81, No. 6, pp. 617-620.

Published
1974

31. The Cantor-Lebesgue Theorem

Author

R. L. Cooke

Subjects
Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, 010102 general mathematics, Fixed-point theorem, 01 natural sciences, Squeeze theorem, 0103 physical sciences, Danskin's theorem, 010307 mathematical physics, 0101 mathematics, Brouwer fixed-point theorem, Carlson's theorem, Mathematics, Mean value theorem
Published
1979

32. Another Elementary Proof of Peano's Existence Theorem

Author

Clifford S. Gardner

Subjects
Discrete mathematics, Gentzen's consistency proof, Picard–Lindelöf theorem, General Mathematics, Peano axioms, Elementary proof, Compactness theorem, Proof sketch for Gödel's first incompleteness theorem, Analytic proof, Peano existence theorem, Mathematics
Published
1976

33. The Radon-Nikodým Theorem as a Theorem in Probability

Author

S. M. Samuels

Subjects
Factor theorem, Pure mathematics, Picard–Lindelöf theorem, Fundamental theorem, General Mathematics, Mean value theorem (divided differences), Compactness theorem, Danskin's theorem, Brouwer fixed-point theorem, Carlson's theorem, Mathematics
Abstract

(1978). The Radon-Nikodým Theorem as a Theorem in Probability. The American Mathematical Monthly: Vol. 85, No. 3, pp. 155-165.

Published
1978

34. Lagrange's Theorem Revisited

Author

Thomas Moore and Hugo D'Alarcao

Subjects
Discrete mathematics, Wilson's theorem, Fundamental theorem, Lagrange's theorem (number theory), Picard–Lindelöf theorem, General Mathematics, symbols.namesake, symbols, Lagrange inversion theorem, Applied mathematics, Lagrange's four-square theorem, Carlson's theorem, Mean value theorem, Mathematics
Abstract

(1975). Lagrange's Theorem Revisited. The American Mathematical Monthly: Vol. 82, No. 3, pp. 270-273.

Published
1975

35. An Application of a Theorem of Sylvester

Author

L. R. Wilcox

Subjects
Sylvester matrix, Pure mathematics, Factor theorem, Picard–Lindelöf theorem, General Mathematics, Sylvester's formula, Sylvester equation, Invariant of a binary form, Mathematics
Published
1944

36. What is the Ergodic Theorem?

Author

Garrett Birkhoff

Subjects
Pure mathematics, Arzelà–Ascoli theorem, Picard–Lindelöf theorem, General Mathematics, Fixed-point theorem, Ergodic theory, Danskin's theorem, Invariant measure, Ergodic Ramsey theory, Brouwer fixed-point theorem, Mathematics
Abstract

(1942). What is the Ergodic Theorem? The American Mathematical Monthly: Vol. 49, No. 4, pp. 222-226.

Published
1942

37. A Simplified Proof of the Divergence Theorem

Author

Djairo G. de Figueiredo

Subjects
Discrete mathematics, Pure mathematics, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, Fundamental theorem, General Mathematics, Fundamental theorem of calculus, Divergence theorem, Proof of impossibility, Danskin's theorem, Brouwer fixed-point theorem, Mathematics
Abstract

(1964). A Simplified Proof of the Divergence Theorem. The American Mathematical Monthly: Vol. 71, No. 6, pp. 619-622.

Published
1964

38. A General Theorem in Local Probability

Author

Robert E. Moritz

Subjects
Discrete mathematics, Factor theorem, Picard–Lindelöf theorem, Fundamental theorem, General Mathematics, No-go theorem, Danskin's theorem, Brouwer fixed-point theorem, Mathematics, Mean value theorem, Carlson's theorem
Published
1905

39. Picard's Theorem

Author

James Fabrey

Subjects
Discrete mathematics, Montel's theorem, Picard–Lindelöf theorem, General Mathematics, Fundamental theorem of calculus, Jacobian variety, Fixed-point theorem, Brouwer fixed-point theorem, Picard theorem, Carlson's theorem, Mathematics
Published
1972

40. A Fixed Point Theorem for Connected Multi-Valued Functions

Author

Raymond E. Smithson

Subjects
Discrete mathematics, Least fixed point, Arzelà–Ascoli theorem, Picard–Lindelöf theorem, General Mathematics, Fixed-point theorem, Fixed-point property, Brouwer fixed-point theorem, Kakutani fixed-point theorem, Mean value theorem, Mathematics
Abstract

(1966). A Fixed Point Theorem for Connected Multi-Valued Functions. The American Mathematical Monthly: Vol. 73, No. 4P1, pp. 351-355.

Published
1966

41. On the Extension of the Exponential Theorem

Author

E. D. Roe

Subjects
Pure mathematics, Picard–Lindelöf theorem, Isomorphism extension theorem, General Mathematics, Danskin's theorem, Brouwer fixed-point theorem, Exponential polynomial, Shift theorem, Mathematics, Mean value theorem, Carlson's theorem
Published
1909

42. On the Theorem of Frullani

Author

F. G. Tricomi

Subjects
Factor theorem, Pure mathematics, Picard–Lindelöf theorem, Fundamental theorem, General Mathematics, Fixed-point theorem, Danskin's theorem, Brouwer fixed-point theorem, Squeeze theorem, Mathematics, Carlson's theorem
Abstract

(1951). On the Theorem of Frullani. The American Mathematical Monthly: Vol. 58, No. 3, pp. 158-164.

Published
1951

43. The Under-Over-Under Theorem

Author

Francis Scheid

Subjects
Pure mathematics, Picard–Lindelöf theorem, Fundamental theorem, General Mathematics, Fixed-point theorem, Danskin's theorem, Brouwer fixed-point theorem, Squeeze theorem, Mean value theorem, Mathematics, Carlson's theorem
Published
1961

45. On the Generalization of a Theorem in Solid Geometry

Author

Robert E. Moritz

Subjects
Discrete mathematics, Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, Compactness theorem, Absolute geometry, Danskin's theorem, Foundations of geometry, Brouwer fixed-point theorem, Synthetic geometry, Mathematics
Abstract

(1908). On the Generalization of a Theorem in Solid Geometry. The American Mathematical Monthly: Vol. 15, No. 5, pp. 95-99.

Published
1908

46. A Simple Proof of the Denjoy-Carleman Theorem

Author

P. J. Cohen

Subjects
Pure mathematics, Computer-assisted proof, Picard–Lindelöf theorem, Proofs of Fermat's little theorem, General Mathematics, Proof of impossibility, Danskin's theorem, Original proof of Gödel's completeness theorem, Brouwer fixed-point theorem, Mathematics, Analytic proof
Abstract

(1968). A Simple Proof of the Denjoy-Carleman Theorem. The American Mathematical Monthly: Vol. 75, No. 1, pp. 26-31.

Published
1968

47. Note on the Cayley-Hamilton Theorem

Author

Marvin J. Greenberg

Subjects
Pure mathematics, Picard–Lindelöf theorem, Fundamental theorem, General Mathematics, Compactness theorem, Fixed-point theorem, Danskin's theorem, Brouwer fixed-point theorem, Squeeze theorem, Carlson's theorem, Mathematics
Published
1984

48. Generalizing the Generalized Mean-Value Theorem

Author

Alexander Abian

Subjects
Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, Compactness theorem, Danskin's theorem, Brouwer fixed-point theorem, Squeeze theorem, Mathematics, Mean value theorem, Carlson's theorem
Abstract

(1981). Generalizing the Generalized Mean-Value Theorem. The American Mathematical Monthly: Vol. 88, No. 7, pp. 528-530.

Published
1981

49. A Note on the Erdös-Feller-Pollard Theorem

Author

Mark A. Pinsky

Subjects
Pure mathematics, Fundamental theorem, Picard–Lindelöf theorem, General Mathematics, Compactness theorem, Fixed-point theorem, Danskin's theorem, Brouwer fixed-point theorem, Squeeze theorem, Carlson's theorem, Mathematics
Published
1976

50. The Inclusion-Exclusion Probability Formulas by Taylor's Theorem

Author

Solomon Leader

Subjects
Discrete mathematics, Delta method, symbols.namesake, Picard–Lindelöf theorem, General Mathematics, Fundamental theorem of calculus, symbols, Brouwer fixed-point theorem, Carlson's theorem, Mathematics, Taylor expansions for the moments of functions of random variables, Mean value theorem, Taylor's theorem
Published
1985

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