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1

Proof Without Words: The Golden Ratio

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2016

Langue:

english

Fichier:

PDF, 116 KB

english, 2016

2

Proof without Words: The Arithmetic-Logarithmic-Geometric Mean Inequality

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

1995

Langue:

english

Fichier:

PDF, 155 KB

english, 1995

3

Titu’s Lemma

Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

2020

Langue:

english

Fichier:

PDF, 365 KB

english, 2020

4

Problems and Solutions

Michel Bataille, Gregory Fredricks, Roger Nelsen, José Luis Díaz-Barrero, William P. Wardlaw, W. C. Gosnell, Götz Trenkler, Northwestern University Math Problem Solving Group, Ovidiu Furdui, John Henr

Journal:

College Mathematics Journal

Année:

2005

Langue:

english

Fichier:

PDF, 687 KB

english, 2005

5

Proof Without Words: A Surprising Integer Result

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2016

Langue:

english

Fichier:

PDF, 113 KB

english, 2016

6

Proof Without Words: Pythagorean Primes and Triangular Numbers

Nelsen, Roger B.

Journal:

College Mathematics Journal

Année:

2019

Langue:

english

Fichier:

PDF, 441 KB

english, 2019

7

Even Perfect Numbers End in 6 or 28

Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

2018

Langue:

english

Fichier:

PDF, 396 KB

english, 2018

8

The Role of Motion Analysis in Elite Soccer

Christopher Carling, Jonathan Bloomfield, Lee Nelsen, Thomas Reilly

Journal:

Sports Medicine

Année:

2008

Langue:

english

Fichier:

PDF, 484 KB

english, 2008

9

Heron's Formula via Proofs without Words

Roger B. Nelsen

Journal:

College Mathematics Journal

Année:

2001

Langue:

english

Fichier:

PDF, 339 KB

english, 2001

10

Proof Without Words: Perfect Numbers Modulo 7

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2017

Langue:

english

Fichier:

PDF, 286 KB

english, 2017

11

Proof Without Words: Perfect Numbers and Sums of Odd Cubes

ROGER B. NELSEN,

Journal:

Mathematics Magazine

Année:

2016

Langue:

english

Fichier:

PDF, 431 KB

english, 2016

12

Multi-Polygonal Numbers

ROGER B. NELSEN,

Journal:

Mathematics Magazine

Année:

2016

Langue:

english

Fichier:

PDF, 392 KB

english, 2016

13

Proof Without Words: Perfect Numbers and Triangular Numbers

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2016

Langue:

english

Fichier:

PDF, 219 KB

english, 2016

14

Proof without Words: The Cauchy-Schwarz Inequality

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

1994

Langue:

english

Fichier:

PDF, 239 KB

english, 1994

15

Problems and Solutions

Edward T. H. Wang, Andrew Cusumano, Erwin Just, Norman Schaumberger, Roger B. Nelsen, Ayoub B. Ayoub, Rick Mabry, Paul Deiermann, Jack V. Wales, Jr., Dennis Walsh, Geoffrey A. Kandall, M. Reza Akhlagh

Journal:

College Mathematics Journal

Année:

2001

Langue:

english

Fichier:

PDF, 602 KB

english, 2001

16

Proof Without Words: Infinitely Many Almost-Isosceles Pythagorean Triples Exist

ROGER B. NELSEN,

Journal:

Mathematics Magazine

Année:

2016

Langue:

english

Fichier:

PDF, 152 KB

english, 2016

17

Problems and Solutions

Arthur L. Holshouser, K. R. S. Sastry, Zengxiang Tong, Roger B. Nelsen, Monte J. Zerger, Parviz Khalili, Daniele Donini, John Henry Steelman, Ayoub B. Ayoub, Jim Delany, Todd Will, Con Amore Problem G

Journal:

College Mathematics Journal

Année:

2000

Langue:

english

Fichier:

PDF, 576 KB

english, 2000

18

Proof without Words: The Harmonic Mean-Geometric Mean-Arithmetic Mean-Root Mean Square Ineqality

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

1987

Langue:

english

Fichier:

PDF, 91 KB

english, 1987

19

Proof Without Words: The Pentagon-Hexagon-Decagon Identity

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2016

Langue:

english

Fichier:

PDF, 145 KB

english, 2016

20

Proof Without Words: Square Triangular Numbers and Almost Isosceles Pythagorean Triples

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2016

Langue:

english

Fichier:

PDF, 209 KB

english, 2016

21

Proof Without Words: Nested Square Roots

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2017

Langue:

english

Fichier:

PDF, 126 KB

english, 2017

22

Elementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and Wilker

Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

2020

Fichier:

PDF, 628 KB

2020

23

Copulas, Characterization, Correlation, and Counterexamples

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

1995

Langue:

english

Fichier:

PDF, 539 KB

english, 1995

24

Proof Without Words: Inequalities for Two Numbers Whose Sum Is One

Claudi Alsina and Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

2011

Langue:

english

Fichier:

PDF, 205 KB

english, 2011

25

Gender Differences in Images of God

Nelsen, Hart M., Cheek, Neil H., Au, Paul

Journal:

Journal for the Scientific Study of Religion

Année:

1985

Langue:

english

Fichier:

PDF, 839 KB

english, 1985

26

Problems

Rabinowitz, Stanley, Callan, David, Norton, Vic, Christophe,, L. Matthew, Patruno, Gregg, McWorter,, William A., Propp, James, Propp, James G., Kuipers, L., Ropp, Daniel, Nelsen, Roger B., Kestelman,

Journal:

Mathematics Magazine

Année:

1985

Langue:

english

Fichier:

PDF, 551 KB

english, 1985

27

Red Clover (Trifolium pratense) Monograph

Nelsen, Jamie, Ulbricht, Catherine, Barrette, Ernie Paul, Mac, David Sollars, Tsouronis, Candy, Rogers, Adrianne, Basch, Samuel, Hashmi, Sadaf, Bent, Steve, Basch, Ethan

Journal:

Journal of Herbal Pharmacotherapy

Année:

2002

Langue:

english

Fichier:

PDF, 972 KB

english, 2002

28

Chinese Defence Policy; From Muskets to Missiles: Politics and Professionalism in the Chinese Army, 1945-1981.; The Chinese Military System: An Organizational Study of the Chinese People's Liberation Army.; The Dynamics of Chinese Politics.; China, the Soviet Union and the West: Strategic and Political Dimensions in the 1980s.; Eight Voyage of the Dragon: A History of China's Quest for Seapower.; China: A Political History, 1917-1980.;

Segal, Gerald, Jencks, Harlan, Nelsen, Harvey, Pye, Lucian, Stuart, Douglas, Tow, William, Swanson, Bruce, Thornton, Richard

Journal:

International Affairs

Année:

1983

Langue:

english

Fichier:

PDF, 895 KB

english, 1983

29

Proof Without Words: The Triple Angle Sine and Cosine Forumlas

Claudi Alsina and Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

2012

Langue:

english

Fichier:

PDF, 182 KB

english, 2012

30

Interrater Reliability of the Wolf Motor Function Test-Functional Ability Scale: Why It Matters

Duff, S. V., He, J., Nelsen, M. A., Lane, C. J., Rowe, V. T., Wolf, S. L., Dromerick, A. W., Winstein, C. J.

Journal:

Neurorehabilitation & Neural Repair

Année:

2015

Langue:

english

Fichier:

PDF, 452 KB

english, 2015

31

Euler's Triangle Inequality via Proofs without Words

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

2008

Langue:

english

Fichier:

PDF, 416 KB

english, 2008

32

Proof Without Words: A Right Triangle Identity

Roger B. Nelsen,

Journal:

College Mathematics Journal

Année:

2016

Langue:

english

Fichier:

PDF, 133 KB

english, 2016

33

Proof Without Words: Diophantus of Alexandria’s Sum of Squares Identity

ROGER B. NELSEN,

Journal:

Mathematics Magazine

Année:

2017

Langue:

english

Fichier:

PDF, 131 KB

english, 2017

34

Further Integral Skinning with Applications

Nelsen, Roger B.

Journal:

College Mathematics Journal

Année:

2018

Langue:

english

Fichier:

PDF, 448 KB

english, 2018

35

Proof Without Words: Runs of Triangular Numbers

Roger B. Nelsen, Hasan Unal

Journal:

Mathematics Magazine

Année:

2012

Langue:

english

Fichier:

PDF, 217 KB

english, 2012

36

Proof Without Words: A Reciprocal Pythagorean Theorem

Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

2009

Langue:

english

Fichier:

PDF, 199 KB

english, 2009

37

Discrete bivariate distributions with given marginals and correlation

Nelsen, Roger B.

Journal:

Communications in Statistics - Simulation and Computation

Année:

1987

Langue:

english

Fichier:

PDF, 261 KB

english, 1987

38

Problems

Bencze, Mihály, Austin, Joe Dan, Primer, Jeremy D., Hand, Thomas, Kuipers, L., Clark, Robert, Creech, Roger L., Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

1982

Langue:

english

Fichier:

PDF, 327 KB

english, 1982

39

Proof without Words: Integration by Parts

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

1991

Langue:

english

Fichier:

PDF, 128 KB

english, 1991

40

Proof without Words: Right Triangles and Geometric Series

Roger B. Nelsen

Journal:

Mathematics Magazine

Année:

2006

Langue:

english

Fichier:

PDF, 224 KB

english, 2006

41

Proof Without Words: Pythagorean Quadruples

Journal:

College Mathematics Journal

Année:

2014

Langue:

english

Fichier:

PDF, 187 KB

english, 2014

42

Proof Without Words: The Pythagorean Theorem with Equilateral Triangles

Claudi Alsina, Roger B. Nelsen

Journal:

College Mathematics Journal

Année:

2012

Langue:

english

Fichier:

PDF, 197 KB

english, 2012

43

Problems and Solutions

Yi-chuan Pan, Philip D. Tiu, Enrico Valdinoci, Habib Y. Far, Li Zhou, Arthur L. Holshouser, Michael Parmenter, K. R. S. Sastry, Richard E. Pfiefer, Zengxiang Tong, Jim Delany, Roger B. Nelsen, William

Journal:

College Mathematics Journal

Année:

2001

Langue:

english

Fichier:

PDF, 552 KB

english, 2001

44

Problems

Levine, Eugene, Hoehn, Larry, Wald, Morris, Klamkin, M. S., Nelsen, Robert B., Shafer, Robert E., Wagner, Robert J., Klein, Benjamin G., Murty, V. N.

Journal:

College Mathematics Journal

Année:

1988

Langue:

english

Fichier:

PDF, 280 KB

english, 1988

45

Problems and Solutions

Paul Bracken, Zengxiang Tong, Roger B. Nelsen, Pete Johnson, Dave Leach, Ho-joo Lee, K. R. S. Sastry, Harry Sedinger, Frank Schmidt, Daniele Donini, Zun Shan, Edward T. H. Wang, Robert Patenaude, Juan

Journal:

College Mathematics Journal

Année:

1999

Langue:

english

Fichier:

PDF, 577 KB

english, 1999

46

The Maclaurin Inequality and Rectangular Boxes

CLAUDI ALSINA,, ROGER B. NELSEN,

Journal:

Mathematics Magazine

Année:

2017

Langue:

english

Fichier:

PDF, 287 KB

english, 2017

47

Periodic Continued Fractions Via a Proof Without Words

Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

2018

Langue:

english

Fichier:

PDF, 809 KB

english, 2018

48

Almost Equilateral Heronian Triangles

Nelsen, Roger B.

Journal:

Mathematics Magazine

Année:

2020

Fichier:

PDF, 398 KB

2020

49

Proof Without Words: Squares Modulo 3

Roger B. Nelsen

Journal:

College Mathematics Journal

Année:

2013

Langue:

english

Fichier:

PDF, 207 KB

english, 2013

50

Proof Without Words: Alternating Sums of Consecutive Squares

Journal:

College Mathematics Journal

Année:

2014

Langue:

english

Fichier:

PDF, 171 KB

english, 2014