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Simultaneous and successive synthesis in young children : their relationships with some early school performancesGrabham, Kathy, n/a January 1980 (has links)
Modes of information processing were examined for 91
subjects aged between 5 years 7 months and 6 years 3
months, using A.R. Luria's model of brain function as
the theoretical basis of the study. A factor analysis
of the results of six psychometric tests administered
to all subjects indicated the presence of two distinct
factors. These were hypothesised to represent the
separate contributions of simultaneous and successive
synthesis. Further separate factor analyses, of the
six psychometric tests and tests of M-Space (derived
from the work of R. Case) and tests of standard school
assessment tasks (that were also administered to the
subjects), were performed. The results indicated that
although both modes of synthesis are available to
children of this age, simultaneous synthesis is not
a potent factor in school learning.
A further exploratory study was carried out using the
same 91 subjects. Subjects were given a series of
verbal subtraction problems requiring understanding of
mathematical relationships, and randomly assigned to
two presentation groups. One group received pictorial
information in addition to the verbal presentation.
The other group received concrete materials. A multiple
regression analysis was performed on the whole group
using factor scores for simultaneous and successive
syntheses (derived from the factor analysis of the six
psychometric tests) as independent variables and criterion
test scores for the verbal subtraction problems as the
dependent variable. The analysis indicated that although
neither aptitude for successive synthesis nor aptitude
for simultaneous synthesis had predictive value for this
kind of probelm solving, simultaneous synthesis was
possibly the predominant mode of information processing.
Further multiple regression analyses performed on each
of the presentation groups indicated an interaction
between successive synthesis and the modes of presentation
of information. Due to the small numbers of
subjects in each presentation group this result was
inconclusive.
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Variants of P-frames and associated ringsNsayi, Jissy Nsonde 12 1900 (has links)
We study variants of P-frames and associated rings, which can be viewed as natural
generalizations of the classical variants of P-spaces and associated rings. To be more
precise, we de ne quasi m-rings to be those rings in which every prime d-ideal is either
maximal or minimal. For a completely regular frame L, if the ring RL of real-valued
continuous functions of L is a quasi m-ring, we say L is a quasi cozero complemented
frame. These frames are less restricted than the cozero complemented frames. Using
these frames we study some properties of what are called quasi m-spaces, and observe
that the property of being a quasi m-space is inherited by cozero subspaces, dense z-
embedded subspaces, and regular-closed subspaces among normal quasi m-space.
M. Henriksen, J. Mart nez and R. G. Woods have de ned a Tychono space X to be a
quasi P-space in case every prime z-ideal of C(X) is either minimal or maximal. We call a
point I of L a quasi P-point if every prime z-ideal of RL contained in the maximal ideal
associated with I is either maximal or minimal. If all points of L are quasi P-points, we
say L is a quasi P-frame. This is a conservative de nition in the sense that X is a quasi
P-space if and only if the frame OX is a quasi P-frame. We characterize these frames
in terms of cozero elements, and, among cozero complemented frames, give a su cient
condition for a frame to be a quasi P-frame.
A Tychono space X is called a weak almost P-space if for every two zero-sets E and
F of X with IntE IntF, there is a nowhere dense zero-set H of X such that E F [H.
We present the pointfree version of weakly almost P-spaces. We de ne weakly regular
rings by a condition characterizing the rings C(X) for weak almost P-spaces X. We
show that a reduced f-ring is weakly regular if and only if every prime z-ideal in it which contains only zero-divisors is a d-ideal. We characterize the frames L for which the ring
RL of real-valued continuous functions on L is weakly regular.
We introduce the notions of boundary frames and boundary rings, and use them to
give another ring-theoretic characterization of boundary spaces. We show that X is a
boundary space if and only if C(X) is a boundary ring.
A Tychono space whose Stone- Cech compacti cation is a nite union of closed subspaces
each of which is an F-space is said to be nitely an F-space. Among normal spaces,
S. Larson gave a characterization of these spaces in terms of properties of function rings
C(X). By extending this notion to frames, we show that the normality restriction can
actually be dropped, even in spaces, and thus we sharpen Larson's result. / Mathematics / D. Phil. (Mathematics)
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Charakterisierungen schwacher Kompaktheit in Dualräumen / Characterizations of weak compactness in dual spacesMöller, Christian 15 September 2003 (has links)
In this thesis we present an extensive characterization of weak* sequentially precompact subsets of the dual of a sequentially order complete M-space with an order unit. This central part of the thesis generalizes results due to H.H. Schaefer and X.D. Zhang showing that small weak* compact subsets of the dual of a space of bounded measurable real-valued functions (continuous real-valued functions on a compact quasi-Stonian space) are weakly compact. Moreover, while the proofs of Schaefer and Zhang use measure theoretical arguments, the arguments presented here are purely elementary and are based on the well-known result, that the space l1 has the Schur property. Finally some applications are given. For example, we investigate compact or sequentially precompact subsets, which consist of order-weakly compact operators, in the space of continuous linear operators defined on a sequentially order complete Riesz space with values in a Banach space provided with the strong operator topology: as an immediate consequence of the results, we can easily deduce extended versions of the Vitali-Hahn-Saks theorem for vector measures. For this we need a generalization of the Yosida-Hewitt decomposition theorem, which is proved here with other techniques like the factorization of an order-weakly compact operator through a Banach lattice with order continuous norm.
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