The dynamics of the jellyfish joyride: mathematical discussion of the causes leading to blooming

2015 ◽  
Vol 38 (16) ◽  
pp. 3408-3420
Author(s):  
Florian Rupp ◽  
Jürgen Scheurle
Keyword(s):  
Mathematical Discussion

scholarly journals An attempt to determine the adiabatic relations of ethyl oxide

1897 ◽  
Vol 60 (359-367) ◽  
pp. 336-337 ◽  
Keyword(s):  
Wave Length ◽  
Experimental Results ◽  
Mathematical Discussion ◽  
Series Of Experiments

The wave-length of sound in gaseous and in liquid ethyl oxide (sulphuric ether) has been determined by the two first-mentioned of the authors, by means of Kundt’s method, between limits of temperature ranging from 100° C. to 200° C., and of pressure ranging from 4000 mm. to 31,000 mm. of mercury, and of volume ranging from 2·6 c. c, per gram to 71 c. c. per gram. Making use of the same apparatus throughout, the results obtained are to be regarded as comparative, and, by careful determination of the pitch of the tone transmitted through the gas, it is probable they are approximately absolute. The sections of the complete memoir deal with (I) a description of the apparatus employed, (II) the method of ascertaining the weights of ether used in each series of experiments, (III) determinations of the frequency of the vibrating rod, (IV) the calculations of the adiabatic elasticity and tables of the experimental results, and (V) a mathematical discussion of the results. The last section is due to Mr. Rose-Innes.

The bursting of soap-bubbles in a uniform electric field

1925 ◽  
Vol 22 (5) ◽  
pp. 728-730 ◽  
Author(s):  
C. T. R. Wilson ◽  
G. I. Taylor
Keyword(s):  
Electric Field ◽  
Water Drop ◽  
The Other ◽  
Uniform Electric Field ◽  
Geometrical Shape ◽  
Soap Bubble ◽  
Charged Drop ◽  
Mathematical Discussion ◽  
Mathematical Expressions ◽  
The Stability

The stability of a charged raindrop has been discussed mathematically by Lord Rayleigh. The case of an uncharged drop in a uniform electric field is perhaps of more meteorological importance but a mathematical discussion of the conditions for stability turns out to be very much more difficult in this case, owing to the fact that the drop ceases to be spherical before it bursts. Moreover it does not seem possible to express its geometrical shape by means of any simple mathematical expressions. On the other hand, by using a soap bubble instead of a water drop it was found possible to carry out experiments under well-defined conditions in this case, whereas experiments with Rayleigh's charged drop would be difficult.

Research Into Practice: Experience, Problem Solving, and Discourse as Central Aspects of Constructivism

1990 ◽  
Vol 38 (4) ◽  
pp. 34-35
Author(s):  
Erna Yackel ◽  
Paul Cobb ◽  
Terry Wood ◽  
Graceann Merkel ◽  
Michael T. Battista
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Instructional Practice ◽  
Mathematical Discussion ◽  
The Past ◽  
Practice Experience ◽  
Constructivist View ◽  
Key Aspects

Over the past five years, we have collaborated with teachers to develop forms of instructional practice in elementary chool mathematics that are compatible with a constructivist view of teaching and learning. Two key aspects of our work form the basis for this discu ion: first, the process of developing in tructional activities, and second. the importance of engaging students in mathematical discussion.

Clubs: A Student-Presented Mathematics Club Program—Infinities of Numbers

1981 ◽  
Vol 74 (9) ◽  
pp. 711-712
Author(s):  
Paul M. Nemecek
Keyword(s):  
Cardinal Number ◽  
Mathematical Discussion ◽  
One To One ◽  
Infinite Set

There is widespread use of the words infinite or infinitely many by students; yet there seldom occurs a sound mathematical discussion of the topic. The proof of the existence of infinity, accomplished in the last hundred years, allows an important opportunity to discuss the concepts of number, cardinal number, infinite set, and one-to-one correspondence.

Teacher flexibility in mathematical discussion

2007 ◽  
Vol 26 (4) ◽  
pp. 328-347 ◽  
Author(s):  
Roza Leikin ◽  
Sariga Dinur
Keyword(s):  
Mathematical Discussion ◽  
Teacher Flexibility
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