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The Association for Women in Mathematics: How and Why It Was
Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted. -
Journal Symbolic Logic
THT, E JOURNAL : OF SYMBOLIC LOGIC •' . X , , ' V. ;'••*• • EDITED B\Y \ ' ALONZO CHURCH S. C. KLEENE ALICE A. LAZEROWITZ Managing Editor'. ALFONS BOROERS Consulting Editors'. i W. ACKERMANN ROBERT FEYS ANDRZEJ MOSTOWSKJ G. A. BAYLIS FREDERIC B. FITCH R6ZSA PETER PAUL BERNAYS CARL G. HEMPEL BARKLEY ROSSER G. D. W. BERRY LEON HENKIN THORALF SKOLEM MARTIN DAVIS JOHN G. KEMENY A. R. TURQUETTE VOLUME 19 NUMBER 4 DECEMBER 1954 1 s PUBLISHED QUARTERLY BY THE ASSOCIATION FOR SYMBOLIC LOGIC, INC. WITH THE AID OF SUBVENTIONS FROM EDWARD C. HEGELER TRUST FUND HARVARD UNIVERSITY RUTGERS UNIVERSITY INSTITUTE FOR ADVANCED STUDY SMITH COLLEGE UNIVERSITY OF MICHIGAN 1_—; , Copyright igss by the Association for Symbolic Logic, Inc. Reproduction by photostat, photo-print, microfilm, or like process by permission only r • A Downloaded from https://www.cambridge.org/core. IP address: 170.106.51.11, on 05 Oct 2021 at 08:48:31, subject to the Cambridge Core terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S0022481200086618 TABLE OF CONTENTS The formalization of mathematics. By HAO WANG 24.1 The recursive irrationality of n. By R. L. GOODSTEIN 267 Distributivity and an axiom of choice. By GEORGE E. COLLINS . 275 Reviews . ! t 278 List of officers and members of the Association for Symbolic Logic . 305 The JOURNAL OF SYMBOLIC LOCIC is the official organ of the Association for Symbolic Logic, Inc., published quarterly, in the months of March, June, September, and December. The JOURNAL is published for the Association by N.V. Erven P. Noordhoff, Publishers, Gronin- gen, The Netherlands. -
Page 657 Monterey Program (November 19-20)- Page 666
EAST Lansing Program (November 12-13)- Page 657 Monterey Program (November 19-20)- Page 666 VI 0 0 Notices of the American Mathematical Society z c:: 3 o ..,~ z 0 < ~ November 1982, Issue 221 ·5- Volume 29, Number 7, Pages 617- 720 ..,~ Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet· ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. -
Kale Apple Cake
RECIPE Hero Vegetable: Kale Kale Apple Cake Ingredients: 2 cups fresh kale, stems removed and roughly chopped 2 cups flour 3 apples, cored, and sliced into wedges 1 ¼ cup sugar ½ cup unsalted butter, melted ½ cup milk 3 eggs 1 Tbs lemon juice 2 tsp baking powder 1 tsp vanilla extract ½ tsp salt ¼ cup sliced almonds (optional) powdered sugar for sprinkling(optional) Directions: Preheat your oven to 350F. Grease then fit a round sheet of parchment paper inside the bottom of a 10-inch springform pan, set aside. Steam or lightly boil the kale for about 2 minutes. The kale should be tender. Puree the kale leaves in a blender with a spoonful of water until smooth. Don’t add more water as the kale will release its own juices. (Now if your blender isn’t breaking up the kale easily, you can use the milk at this step instead of later to blend the kale if it makes it easier to puree) In a mixing bowl whisk together the flour, sugar, baking powder, and salt. Beat in the eggs, kale puree, vanilla, lemon juice, and milk, mixing until the batter just combined. Pour in the cooled melted butter and beat until well incorporated. Pour the batter into the prepared baking pan. (If the batter is thick, this is ok. The apples will release juices as the cake bakes.) Arrange the apple slices into the batter, pushing them into the batter slightly. Sprinkle the almonds evenly over the cake batter. Bake the cake for 35-45 minutes, until a toothpick inserted in the center of the cake (not into an apple) comes out clean. -
Alfred Tarski and a Watershed Meeting in Logic: Cornell, 1957 Solomon Feferman1
Alfred Tarski and a watershed meeting in logic: Cornell, 1957 Solomon Feferman1 For Jan Wolenski, on the occasion of his 60th birthday2 In the summer of 1957 at Cornell University the first of a cavalcade of large-scale meetings partially or completely devoted to logic took place--the five-week long Summer Institute for Symbolic Logic. That meeting turned out to be a watershed event in the development of logic: it was unique in bringing together for such an extended period researchers at every level in all parts of the subject, and the synergetic connections established there would thenceforth change the face of mathematical logic both qualitatively and quantitatively. Prior to the Cornell meeting there had been nothing remotely like it for logicians. Previously, with the growing importance in the twentieth century of their subject both in mathematics and philosophy, it had been natural for many of the broadly representative meetings of mathematicians and of philosophers to include lectures by logicians or even have special sections devoted to logic. Only with the establishment of the Association for Symbolic Logic in 1936 did logicians begin to meet regularly by themselves, but until the 1950s these occasions were usually relatively short in duration, never more than a day or two. Alfred Tarski was one of the principal organizers of the Cornell institute and of some of the major meetings to follow on its heels. Before the outbreak of World War II, outside of Poland Tarski had primarily been involved in several Unity of Science Congresses, including the first, in Paris in 1935, and the fifth, at Harvard in September, 1939. -
What Is a Horseshoe?, Volume 52, Number 5
?WHAT IS... a Horseshoe? Michael Shub The Smale horseshoe is the hallmark of chaos. With n →∞; while if y lies on the vertical through p, then striking geometric and analytic clarity it robustly the inverse iterates of f squeeze it to p. With respect describes the homoclinic dynamics encountered to linear coordinates centered at p, f (x, y)=(kx, my) by Poincaré and studied by Birkhoff, Cartwright- where (x, y) ∈ B and 0 <k<1 <m. Similarly, Littlewood, and Levinson. We give the example first − − and the definitions later. f (x, y)=( kx, my) with respect to linear coordi- Consider the embedding f of the disc ∆ into nates on D at s. itself exhibited in the figure. It contracts the The sets semidiscs A, E to the semidiscs f (A), f (E) in A and s ={ n → →∞} it sends the rectangles B, D linearly to the rectan- W z : f (z) p as n , glesf (B), f (D), stretching them vertically and shrink- W u ={z : f n(z) → p as n →−∞} ing them horizontally. In the case of D, it also rotates by 180 degrees. We don’t really care what are the stable and unstable manifolds of p. They the image f (C) of C is as long as it does not intersect intersect at r , which is what Poincaré called a the rectangle B ∪ C ∪ D. In the figure it is placed so homoclinic point. The figure shows these invariant that the total image resembles a horseshoe, hence the manifolds only locally. Iteration extends them name. globally. -
Handling of Apple Transport Techniques and Efficiency Vibration, Damage and Bruising Texture, Firmness and Quality
Centre of Excellence AGROPHYSICS for Applied Physics in Sustainable Agriculture Handling of Apple transport techniques and efficiency vibration, damage and bruising texture, firmness and quality Bohdan Dobrzañski, jr. Jacek Rabcewicz Rafa³ Rybczyñski B. Dobrzañski Institute of Agrophysics Polish Academy of Sciences Centre of Excellence AGROPHYSICS for Applied Physics in Sustainable Agriculture Handling of Apple transport techniques and efficiency vibration, damage and bruising texture, firmness and quality Bohdan Dobrzañski, jr. Jacek Rabcewicz Rafa³ Rybczyñski B. Dobrzañski Institute of Agrophysics Polish Academy of Sciences PUBLISHED BY: B. DOBRZAŃSKI INSTITUTE OF AGROPHYSICS OF POLISH ACADEMY OF SCIENCES ACTIVITIES OF WP9 IN THE CENTRE OF EXCELLENCE AGROPHYSICS CONTRACT NO: QLAM-2001-00428 CENTRE OF EXCELLENCE FOR APPLIED PHYSICS IN SUSTAINABLE AGRICULTURE WITH THE th ACRONYM AGROPHYSICS IS FOUNDED UNDER 5 EU FRAMEWORK FOR RESEARCH, TECHNOLOGICAL DEVELOPMENT AND DEMONSTRATION ACTIVITIES GENERAL SUPERVISOR OF THE CENTRE: PROF. DR. RYSZARD T. WALCZAK, MEMBER OF POLISH ACADEMY OF SCIENCES PROJECT COORDINATOR: DR. ENG. ANDRZEJ STĘPNIEWSKI WP9: PHYSICAL METHODS OF EVALUATION OF FRUIT AND VEGETABLE QUALITY LEADER OF WP9: PROF. DR. ENG. BOHDAN DOBRZAŃSKI, JR. REVIEWED BY PROF. DR. ENG. JÓZEF KOWALCZUK TRANSLATED (EXCEPT CHAPTERS: 1, 2, 6-9) BY M.SC. TOMASZ BYLICA THE RESULTS OF STUDY PRESENTED IN THE MONOGRAPH ARE SUPPORTED BY: THE STATE COMMITTEE FOR SCIENTIFIC RESEARCH UNDER GRANT NO. 5 P06F 012 19 AND ORDERED PROJECT NO. PBZ-51-02 RESEARCH INSTITUTE OF POMOLOGY AND FLORICULTURE B. DOBRZAŃSKI INSTITUTE OF AGROPHYSICS OF POLISH ACADEMY OF SCIENCES ©Copyright by BOHDAN DOBRZAŃSKI INSTITUTE OF AGROPHYSICS OF POLISH ACADEMY OF SCIENCES LUBLIN 2006 ISBN 83-89969-55-6 ST 1 EDITION - ISBN 83-89969-55-6 (IN ENGLISH) 180 COPIES, PRINTED SHEETS (16.8) PRINTED ON ACID-FREE PAPER IN POLAND BY: ALF-GRAF, UL. -
Vol. Xtv. No. 49.} Rochester, Ny
Central Library of Rochester and Monroe County · Historic Newspapers Collection TWO DOLLAE8 -A. YEAR.] PROGRESS AJT0 IMPEOVEMKNT." [ SINGKLE NO. ETVK CENTS. VOL. XTV. NO. 49.} ROCHESTER, N. Y.-FOK THE WEEK IffiMG SATURDAY, DECEMBER 5, 1863. {WHOLE NO.-725. MOORE'S RURAL NEW-YORKER, raised at five cents per pound, which gives a easily. No damp, sour manger shall stand AH ORIGINAL WEEKLY profit of forty-five cents per pound net No under the nose of my hofse. farmer in the North ever dreamed of such a EUEAI, LITEfiAEY AND FAMILY NEWSPAPER. 5. The harness.shell not hang up at the heels profit; and if the advantages of coming here of my horse. There shall be a place for it on were known they would flock down here by the floor with the carriages. It shall be kept in CONDUCTED BY D. D. T. MOORE, thousands. With a Corps of Able Assistants and Contributors. a clean place; and tie horse shall be taken from "This matter should be brought to the notice the stall to be hanessed. I will not run the CHAS. D. BBAGDON. Western Corresponding Editor. of the Government. You will naturally say the risk of his getting his heels entangled in it, nor THB KUKAI. NEW-YORKER is designed to be unsurpassed commissioners appointed are the ones to do it, if of its being thrown from'its place under his feet. in Value, Purity and Variety of Contents, and unique it has anything to recommend it; but I am sorry Nor will I harness ahorsp in a stall; and rarely and beautiful in Appearance. -
A Bibliography of Publications in American Mathematical Monthly: 1990–1999
A Bibliography of Publications in American Mathematical Monthly: 1990{1999 Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 14 October 2017 Version 1.19 Title word cross-reference NF [737]. !(n) [82]. p [619, 149, 694, 412]. P2 [357]. p ≡ 1 (mod 4) [34]. φ [674]. φ(30n + 1) [947]. Φpq(X) [618]. π 0 y − z 2 [105]. 1 [21]. (logx N) [333]. (x +1) x = 1 [845]. 0 [740, 684, 693, 950, 489]. π 2 3 [495, 1]. 1 [495, 1]. 1=p [511]. 10 [140]. 168 Qc(x)=x + c [399]. R [35, 226].p R [357].p n n R [62, 588]. S6 [315]. σ [19]. −1 [995]. 2 [538]. 2 [335]. $29.50 [792]. 2 :n! [1003]. p p p P1 n × 2 × 2 [26]. 3 [828, 583]. 4 − 2 [748]. A [435]. [473]. 2 3= 6 [257]. n=0 1=n! [619]. A∗A = B∗B [607]. AB [620]. BA [620]. 2n tan(k) z [160]. } [512]. x [859]. x=(sin x) n 0 [260]. mod5 [982]. C1 [832]. cos(2π/n) [322]. [755]. x = f(x ) [832]. x2 + ym = z2n [7]. d [844]. dy=dx [449]. ex [859]. f(x; y) [469]. x2 + ym = z2n [65]. x5 + ax + b [465]. xn =1 − [235]. Z3 [975]. -
Retail Dietitian Resources Kit Dietitian Resources Kit INDEX
Retail Dietitian Resources Kit Dietitian Resources Kit INDEX Click To Go Introduction: How to Use the Toolkit How to use the toolkit and further information about it Section 1: Farming & Agricultural Practices Information about the practices used by Michigan Apple farmers to consistently produce a variety of healthy and declicious apples year after year. Click To Go Section 2: Types & Tastes of Michigan Apples Information to help you educate shoppers on the different types and tastes of Michigan Apples so they can select the ideal type for their needs. Click To Go Section 3: The Nutrition & Health Benefits There are many healthy reasons for adding apples to your weekly shopping and incorporating them into your meals. Here is a summary of much of the latest research Click To Go into the health benefits of apples. Section 4: Apple Selection, Storage & Handling The answers to frequently asked questions regarding how to best select, handle and store Michigan Apples. Click To Go Section 5: Healthy Cooking: Ways to Use Recipes, healthy cooking tips and other fun, everyday ways to use Michigan Apples. Click To Go Section 6: Fall Educational Supplement Turnkey tools to assist you with promoting back-to-school solutions, family meals, tailgating, Halloween and diabetes management. Click To Go Section 7: Holiday & Winter Educational Supplement There are many opportunities to engage with shoppers during the winter season and this supplement provides solutions that meet consumer behavior needs for December through Click To Go February. Section 8: Resources & Contact Info Information about how to contact the Michigan Apple Committee and some links to some of the many key resources available for you online. -
Vegan Pumpkin-Apple Cake with Apple Cider Glaze This Is a Really Nice and Simple Cake to Make
http://www.vegalicious.org Vegan Pumpkin-Apple Cake with Apple Cider Glaze This is a really nice and simple cake to make. It ply uses 1 cup of pumpkin puree and has 2 apples. The flavor is perfect for a lovely fall day. for the cake: ½ cup vegan margarine 1 & ½ cups sugar 2 egg replacements 1 teaspoon vanilla 2 medium large apples, peeled and chopped in small pieces 1 cup pumpkin puree Servings/Yield 2 cups all-purpose flour 8 servings 1 teaspoon baking powder ¾ teaspoon baking soda Difficulty ½ teaspoon salt ½ teaspoon cinnamon ¼ teaspoon nutmeg ¼ teaspoon ground cloves Categories ¼ teaspoon ground ginger for the glaze: Baked Goods, Cakes, ¾ cup powdered sugar Desserts, Frostings and Icings, Fruit, Healthy, High 1-2 tablespoons apple cider or apple Fiber, Low Cholesterol, juice Pastries, Vegan pinch cinnamon Method 1. to make the cake: If you are using a fresh pumpkin,then prepare the puree first, then proceed with the regular instructions. 2. Preheat the oven to 350 F / 177 C. 3. Oil a spring form cake pan, a 9 inch Bundt pan or 2 loaf pans. 4. In a large bowl, mix the flour, baking powder, baking soda, salt, cinnamon, nutmeg, ground cloves and ground ginger. 5. Whisk lightly to mix. 6. Prepare the apples. 7. In a medium bowl, cream the vegan margarine and sugar until it is light yellow and smooth. 8. Add the pumpkin puree and egg replacements and mix to blend. 9. Add the pumpkin mixture to the flour mixture and lightly mix until just moistened. 10. Fold in the apples and mix. -
Some Results on the Asymptotic Behavior of Finite Connection Probabilities in Percolation
NISSUNA UMANA INVESTIGAZIONE SI PUO DIMANDARE VERA SCIENZIA S’ESSA NON PASSA PER LE MATEMATICHE DIMOSTRAZIONI LEONARDO DA VINCI vol. 4 no. 3-4 2016 Mathematics and Mechanics of Complex Systems MASSIMO CAMPANINO AND MICHELE GIANFELICE SOME RESULTS ON THE ASYMPTOTIC BEHAVIOR OF FINITE CONNECTION PROBABILITIES IN PERCOLATION msp MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS Vol. 4, No. 3-4, 2016 dx.doi.org/10.2140/memocs.2016.4.311 ∩ MM SOME RESULTS ON THE ASYMPTOTIC BEHAVIOR OF FINITE CONNECTION PROBABILITIES IN PERCOLATION MASSIMO CAMPANINO AND MICHELE GIANFELICE We review results of two previous papers on the asymptotic behavior of finite connection probabilities in three or more dimensions for Bernoulli percolation and the Fortuin–Kasteleyn random-cluster model. In the introduction, we prove a multidimensional renewal theorem that is needed for these results and previous results on Ornstein–Zernike behavior; the proof is significantly simpler than that originally derived by Doney (1966) and those of other subsequent works on this subject. 1. Introduction In the last few decades, much progress has been made in the rigorous study of the asymptotic behavior of connection functions in percolation outside the critical point. This problem is related to that of typical fluctuations of clusters and, in two dimensions, of interfaces[Gallavotti 1972; Greenberg and Ioffe 2005]. In the case of the subcritical regime for Bernoulli percolation or the Fortuin– Kasteleyn (FK) random-cluster model on a regular lattice, connection functions, i.e., the probabilities that two points are connected, decay exponentially as the dis- tance between the points tends to infinity [Grimmett 1999; 2006].