Let us see the motivation behind the above result. The reader can observe that the limit (2) is modestly different than the classical limit (1). Let us approximate e from these two limits using n = 1000. From the classical limit, we get e ≈ 2.71692393; which is accurate only to 3 decimal places. From the new limit (2), we get e ≈ 2.71828205; which is e accurate to 6 decimal places. Thus, the ne...

The present study describes the usage of strategies of symbolic representation during teaching introduction of decimal system in primary school in Mexico. Our research is based on Activity Theory conception of teaching-learning process and of gradual introduction of scientific concepts in school age. The method includes symbolic external representation of mathematic, logic and spatial relations...

Depending on the accuracy of the tools we employ in our research, each variable is measured within a certain degree of precision. For example, in most clinical studies on adults, age is measured in years. Generally, measuring the age with more accuracy in such studies is neither necessary nor of any particular importance. However, we might measure blood pH in the same study with two or even thr...

This algorithm draws ellipses with integer centres and decimal radii on discrete devices using fixed-point arithmetic. These ellipses have both X and Y axis parallel to the coordinate axes. It uses forward differences to diminish its cost. It has a low comp utational complexity while the error is lower than traditional algorithms. This algorithm works in the squared R space (fixed-point) and tr...

The decimal expansions of the numbers 1{n (such as 1{3 “ 0.3333..., 1{7 “ 0.142857...) are most often viewed as tools for approximating quantities to a desired degree of accuracy. The aim of this exposition is to show how these modest expressions in fact deserve have much more to offer, particularly in the case when the expansions are infinitely long. First we discuss how simply asking about th...

Presented here are algorithms for converting between (decimal) scientific-notation and (binary) IEEE-754 double-precision floating-point numbers. These algorithms are much simpler than those previously published. The values are stable under repeated conversions between the formats. The scientific representations generated have only the minimum number of mantissa digits needed to convert back to...

BACKGROUND Online risk calculators offer different levels of precision in their risk estimates. People interpret numbers in varying ways depending on how they are presented, and we do not know how the number of decimal places displayed might influence perceptions of risk estimates. OBJECTIVE The objective of our study was to determine whether precision (ie, number of decimals) in risk estimat...

for a finite field $mathbb{f}_q$, the bivariate skew polynomial ring $mathbb{f}_q[x,y;rho,theta]$ has been used to study codes cite{xh}. in this paper, we give some characterizations of the ring $r[x,y;rho,theta]$, where $r$ is a commutative ring. we investigate 2-d skew $(lambda_1,lambda_2)$-constacyclic codes in the ring $r[x,y;rho,theta]/langle x^l-lambda_1,y^s-lambda_2rangle_{mathit{l}}.$ a...