Search results for "Arithmetic"

The use of history in mathematics education: The case of posthumous twins

2018

Se presenta un estudio exploratorio sobre un tipo particular de problemas verbales descriptivos de larga tradición e importancia en el desarrollo del pensamiento matemático: el problema de los gemelos póstumos. La metodología que sustenta el estudio tiene dos vertientes complementarias: el análisis histórico epistemológico y el análisis didáctico en los libros de texto y manuales escolares. Con énfasis en la resolución de problemas, se resalta la importancia de integrar la historia y epistemología de las ideas matemáticas en la investigación educativa, para provecho de estudiantes y profesores. An exploratory study is presented on a particular type of descriptive word problems of long tradi…

<title>Achieving high performances at lower cost for real-time image rotation by using dynamic reconfiguration</title>

2001

FPGA components are widely used today to perform various algorithms (digital filtering) in real time. The emergence of Dynamically Reconfigurable (DR) FPGAs made it possible to reduce the number of necessary resources to carry out an image processing application (tasks chain). We present in this article an image processing application (image rotation) that exploits the FPGA's dynamic reconfiguration feature. A comparison is undertaken between the dynamic and static reconfiguration by using two criteria, cost and performance criteria. For the sake of testing the validity of our approach in terms of Algorithm and Architecture Adequacy , we realized an AT40K40 based board ARDOISE.

Moments and Laws of Large Numbers

2020

The most important characteristic quantities of random variables are the median, expectation and variance. For large n, the expectation describes the typical approximate value of the arithmetic mean (X 1+…+X n )/n of independent and identically distributed random variables (law of large numbers).

Towards efficient inductive synthesis from input/output examples

1994

On Carlson"s and Shafer"s inequalities

2014

In this paper the authors re ne the Carlson"s inequalities for inverse cosine function, and the Shafer"s inequalities for inverse tangent function.

The linear diophantine problem of Frobenius for subsets of arithmetic sequences

1997

Let A k = {a 1,. . . , a k } $ \subset \Bbb N $ with gcd (a 1,. . . , a k ) = 1. We shall say that a natural number n has a representation by a 1,. . . , a k if $ n =\sum \limits_{i=1}^{k}a_ix_i,\; x_i\in \Bbb N_0 $ . Let g = g (A k ) be the largest integer with no such representation. We then study the set A k = {a,ha + d,ha + 2d,..., ha + (k - 1) d} h,d > 0, gcd (a,d) = 1). If l k denotes the greatest number of elements which can be omitted without altering g (A k ), we show that ¶¶ $ 1-{4 \over \sqrt k} \le {l_k\over k} \le 1 - {3\over k}, $ ¶¶ provided a > k, or a = k with $ d \ge 2 h \sqrt {k} $ . The lower bound can be improved to 1 - 4 / k if we choose a > (k - 4) k + 3. Moreover, we…

The nature of quantities influences the representation of arithmetic problems: evidence from drawings and solving procedures in children and adults

2017

International audience; When solving arithmetic problems, semantic factors influence the representations built (Gamo, Sander & Richard, 2010). In order to specify such interpretative processes, we created structurally isomorphic word problems that could be solved with two distinct algorithms. We tested whether a distinction between cardinal and ordinal quantities would lead solvers, due to their daily-life knowledge, to build different representations, influencing their strategies as well as the nature of their drawings. We compared 5th grade children and adults in order to assess the validity of this hypothesis with participants of varying arithmetic proficiency. The results confirmed that…

Note about the concept of ‘Net Multipliers'

2002

International audience; Net multipliers, as introduced by Oosterhaven and Stelder (2002) accept outputs as entries instead of final demand. They are found by multiplying ordinary multipliers by the final demand ratio over the sector's output. This pragmatic solution suffers from ratio instability over time. The alternative net multipliers proposed here are based on the interpretation of the Leontief inverse matrix for the effects generated at each round. The new solution is not sensitive to the size of impacts. Now net multiplier is equal to the corresponding ordinary multiplier minus one, and the ordering of multipliers is unchanged.

Bridging the Gap between Advanced Distributed Teaching and the Use of Learning Management Systems in the University Context

2007

The selection of appropriate learning management system (LMS) is critical for supporting advanced distributed teaching. A survey was targeted for understanding the features that the LMS offer for university teachers and to find if the advanced features of the LMS were utilized, The findings imply that there is a gap between the LMS tools for advanced distributed teaching and their use in the university context. The teachers using LMS were also found to be heterogeneous by their computer skills and LMS uses.

Handling Context-Sensitive Temporal Knowledge from Multiple Differently Ranked Sources

1999

In this paper we develop one way to represent and reason with temporal relations in the context of multiple experts. Every relation between temporal intervals consists of four endpoints’ relations. It is supposed that the context we know is the value of every expert competence concerning every endpoint relation. Thus the context for an interval temporal relation is one kind of compound expert’s rank, which has four components appropriate to every interval endpoints’ relation. Context is being updated after every new opinion is being added to the previous opinions about certain temporal relation. The context of a temporal relation collects all support given by different experts to all compon…