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Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Recommended Practice For Use Of Electrostatic Analyzers In Electric Propulsion Testing Read More: Http://Arc.Aiaa.Org/Doi/Abs/10.2514/1.B35413, Shawn C. Farnell
Recommended Practice For Use Of Electrostatic Analyzers In Electric Propulsion Testing Read More: Http://Arc.Aiaa.Org/Doi/Abs/10.2514/1.B35413, Shawn C. Farnell
Shawn C Farnell
Electrostatic analyzers are used in electric propulsion to measure the energy per unit charge E/q" role="presentation" style="display: inline; line-height: normal; font-size: 16px; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px 2px 0px 0px; margin: 0px; font-family: "Lucida Grande", "Lucida Sans", Arial, Helvetica, sans-serif; background-color: rgb(37, 79, 98); position: relative;">E/qE/q distribution of ion and electron beams: in the downstream region of thrusters, for example. This paper serves to give an overview of the most fundamental, yet most widely used, types of electrostatic analyzer designs. Analyzers are grouped into …
Optimal Binomial, Poisson, And Normal Left-Tail Domination For Sums Of Nonnegative Random Variables, Iosif Pinelis
Optimal Binomial, Poisson, And Normal Left-Tail Domination For Sums Of Nonnegative Random Variables, Iosif Pinelis
Iosif Pinelis
Exact upper bounds on the generalized moments E ƒ (Sn) of sums Sn of independent nonnegative random variables Xi for certain classes Ƒ of nonincreasing functions ƒ are given in terms of (the sums of) the first two moments of the Xi’s. These bounds are of the form Eƒ(η), where the random variable η is either binomial or Poisson depending on whether n is fixed or not. The classes Ƒ contain, and are much wider than, the class of all decreasing exponential functions. As corollaries of these results, optimal in a certain sense …
Geometric Limits Of Julia Sets Of Maps Z^N + Exp(2Πiθ) As N → ∞, Scott Kaschner, Reaper Romero, David Simmons
Geometric Limits Of Julia Sets Of Maps Z^N + Exp(2Πiθ) As N → ∞, Scott Kaschner, Reaper Romero, David Simmons
Scott Kaschner
We show that the geometric limit as n → ∞ of the Julia sets J(Pn,c) for the maps Pn,c(z) = zn + c does not exist for almost every c on the unit circle. Furthermore, we show that there is always a subsequence along which the limit does exist and equals the unit circle.
Rational Map Of Cp^2 With No Invariant Foliation, Scott Kaschner, Rodrigo Perez, Roland Roeder
Rational Map Of Cp^2 With No Invariant Foliation, Scott Kaschner, Rodrigo Perez, Roland Roeder
Scott Kaschner
Conference Poster presented at: Midwest Dynamical Systems Conference, Champaign/Urbana, IL November 1-3, 2013.
Explicating A Mechanism For Conceptual Learning: Elaborating The Construct Of Reflective Abstraction, Martin Simon, Ron Tzur, Karen Heinz, Margaret Kinzel
Explicating A Mechanism For Conceptual Learning: Elaborating The Construct Of Reflective Abstraction, Martin Simon, Ron Tzur, Karen Heinz, Margaret Kinzel
Ron Tzur
We articulate and explicate a mechanism for mathematics conceptual learning that can serve as a basis for the design of mathematics lessons. The mechanism, reflection on activity-effect relationships, addresses the learning paradox (Pascual-Leone, 1976), a paradox that derives from careful attention to the construct of assimilation (Piaget, 1970). The mechanism is an elaboration of Piaget's (2001) reflective abstraction and is potentially useful for addressing some of the more intractable problems in teaching mathematics. Implications of the mechanism for lesson design are discussed and exemplified. (Contains 2 figures and 9 footnotes.)
An Account Of A Teacher's Perspective On Learning And Teaching Mathematics: Implications For Teacher Development, Ron Tzur, Martin Simon, Karen Heinz, Margaret Kinzel
An Account Of A Teacher's Perspective On Learning And Teaching Mathematics: Implications For Teacher Development, Ron Tzur, Martin Simon, Karen Heinz, Margaret Kinzel
Ron Tzur
This report presents an account of one teacher's mathematics teaching and a perspective that underlies his teaching. Nevil was a fifth grade teacher participating in current mathematics education reforms in the United States. Through the account, we make distinctions about teachers' thinking and practice that can inform teacher education efforts. We constructed an account by analyzing four sets of classroom observations and interviews. We observed that Nevil decomposed his understandings of the mathematics into smaller components and connections among those components. He created situations that he believed made those components and connections transparent and attempted to elicit those connections from …
Conventions, Definitions, Identities, And Other Useful Formulae, Robert Mcnees
Conventions, Definitions, Identities, And Other Useful Formulae, Robert Mcnees
Robert A McNees IV
As the name suggests, these notes contain a summary of important conventions, definitions, identities, and various formulas that I often refer to. They may prove useful for researchers working in General Relativity, Supergravity, String Theory, Cosmology, and related areas.