scholarly journals ANALYSIS OF MATHEMATICAL WRITING ERRORS RELATED TO THE ANGLE OF TRIGONOMETRI FUNCTIONS

2021 ◽  
Vol 6 (1) ◽  
pp. 71-82
Author(s):  
Budi Mulyono ◽  
Hapizah
Keyword(s):  
Graphical Form ◽  
Trigonometric Functions ◽  
Close Attention ◽  
Mathematical Writing ◽  
Mathematical Expressions ◽  
Learning Mathematics ◽  
The Difference ◽  
Writing Errors ◽  
Technology In Learning

Mathematical writing errors are often made by students, especially when writing mathematical expressions on the angle of trigonometric functions. One of the causes of this error is that students do not pay close attention to the difference between radians and degrees when writing questions or writing answers. These mathematical writing errors were made mainly by students who were oriented towards the result of the answer to a question, without paying attention to good and correct writing rules. One form of writing errors in mathematical expressions of trigonometric functions is writing y = sin (x + 45), which is considered the same as writing y = sin (x + 45o). If they are asked to compare the graphical form of the function of the two mathematical expressions in the same image, the writing error will be recognized and seen. Counterexamples and technology in learning mathematics can help students understand and correct errors in writing mathematical expressions of trigonometric functions.

Mathematical Writing Errors in Expository Writings of College Mathematics Students

2017 ◽  
Vol 6 (3) ◽  
pp. 233
Author(s):  
Ive K. Guce
Keyword(s):  
College Of Education ◽  
Mathematics Students ◽  
Student Activities ◽  
Arts And Sciences ◽  
Mathematical Writing ◽  
Mathematical Symbols ◽  
Learning Mathematics ◽  
Language Courses ◽  
Writing Errors ◽  
Advanced Calculus

<p>Despite the efforts to confirm the effectiveness of writing in learning mathematics, analysis on common errors in mathematical writings has not received sufficient attention. This study aimed to provide an account of the students’ procedural explanations in terms of their commonly committed errors in mathematical writing. Nine errors in mathematical writing were pre-defined namely, misuse of mathematical terms, misuse of mathematical symbols, incorrect notation, incorrect grammar, incorrect capitalization, no or incorrect punctuation, vague term, incorrect term, and lack of term or phrase. This study used qualitative method of research to keep a record of errors in mathematical writing. Conducted in the College of Education Arts and Sciences of De La Salle Lipa, the study involved twelve BS Mathematics students enrolled in Advanced Calculus 1 class as respondents. Results revealed that the most committed errors done in mathematical writing are incorrect grammar and misuse of mathematical symbols. Certainly, intervention programs on mathematics writing will bring favorable outcomes. Language courses in the students’ curriculum which tackle proper grammar usage may be integrated with writing about mathematics as part of the student activities. Such will provide the students with writing experiences fitted to their discipline.</p><p> </p>

Absenteeism Management

1996 ◽  
Vol 12 (03) ◽  
pp. 194-197
Author(s):  
Blaine Lewis
Keyword(s):  
Competitive Advantage ◽  
Close Attention ◽  
The Difference ◽  
The One ◽  
Competitive Forces ◽  
A Company

The 1995 Ship Production Symposium theme of "Competitiveness" is very timely. Competitive forces for new shipbuilding work are fierce. Any factor affecting competitive advantage which is not pursued and wrestled into submission may be the one that causes a company to be defeated in the battle for survival. The factor which this paper will focus on is Absenteeism Management. The severity of the absenteeism problem for business in general is growing. In a tight market such as shipbuilding, absenteeism can be the difference that results in a company being unable to compete. Those who do not know the degree to which absenteeism affects business should pay close attention.

scholarly journals Two Useful Discrete Distributions to Model Overdispersed Count Data

2020 ◽  
Vol 43 (1) ◽  
pp. 21-48
Author(s):  
Josmar Mazucheli ◽  
Wesley Bertoli ◽  
Ricardo Puziol Oliveira
Keyword(s):  
Infinite Series ◽  
Count Data ◽  
Survival Function ◽  
Continuous Distribution ◽  
Discrete Distributions ◽  
Mathematical Expressions ◽  
Probability Mass ◽  
The Difference ◽  
Discrete Analogues ◽  
Mass Functions

The methods to obtain discrete analogues of continuous distributions have been widely considered in recent years. In general, the discretization process provides probability mass functions that can be competitive with the traditional model used in the analysis of count data, the Poisson distribution. The discretization procedure also avoids the use of continuous distribution in the analysis of strictly discrete data. In this paper, we seek to introduce two discrete analogues for the Shanker distribution using the method of the infinite series and the method based on the survival function as alternatives to model overdispersed datasets. Despite the difference between discretization methods, the resulting distributions are interchangeable. However, the distribution generated by the method of infinite series method has simpler mathematical expressions for the shape, the generating functions and the central moments. The maximum likelihood theory is considered for estimation and asymptotic inference concerns. A simulation study is carried out in order to evaluate some frequentist properties of the developed methodology. The usefulness of the proposed models is evaluated using real datasets provided by the literature.

Studies in crop variation: V. The relation between yield and soil nutrients

1928 ◽  
Vol 18 (4) ◽  
pp. 602-627 ◽  
Author(s):  
BH Balmukand
Keyword(s):  
General Character ◽  
Experimental Plant ◽  
Single Factor ◽  
Mathematical Expressions ◽  
Direct Interpretation ◽  
The Difference ◽  
Potato Crops ◽  
Physical Quantities ◽  
Quantitative Response ◽  
Simultaneous Variation

The study of the relation of plant-growth to environmental factors has led to much research directed to the elaboration of General Formulae expressing the quantitative response of the experimental plant or crop to the quantity of the nutrients with which it is supplied. For variations of a single nutrient only many different mathematical expressions will serve to describe the facts to the accuracy with which these are usually ascertained by experiment; the practical value of such formulae is, however, much impaired if the parameters or constants which they involve change their value from experiment to experiment. If, on the contrary, we can obtain formulae of a general character which represents satisfactorily not only the response to variation of a single factor, but the response to simultaneous variation of two or more different factors, then we have reason to believe that the parameters of such formulae will not depend upon the casual or non-essential conditions of the experiment, but will be capable of direct interpretation as physical quantities. We have shown that the Resistance Formula does fit the data of several two-factor experiments and the agreement of the three values of an determined from the three potato crops as well as the agreement of the difference in the values of k on a dunged and undunged plot with the potash expected to be available from the ten tons of dung shows that this expectation is so far justified. The parameters of the Resistance Formula are capable of a direct and definite physical interpretation; for each nutrient there are two constants; one represents the importance of the nutrient considered to the crop concerned, and may be expected to vary from crop to crop and from variety to variety, and so to afford a direct comparison between varieties of their manurial needs, while the second represents the amount of nutrient available in the unmanured soil.

Mechanism and its Mathematical Expressions of Stress-Induced Light Emission of ZnS:Mn/Polyester Composite

2017 ◽  
Vol 728 ◽  
pp. 252-257
Author(s):  
Sirichai Leelachao ◽  
Shinji Muraishi ◽  
Yoshio Nakamura
Keyword(s):  
Light Emission ◽  
Level Shift ◽  
Electron Hole ◽  
Mathematical Expressions ◽  
Emission Color ◽  
Thermal Equilibrium Condition ◽  
Polyester Composite ◽  
The Difference ◽  
Luminescent Centers ◽  
The Given

Mechanism of mechanoluminescence of the composite of Mn-doped ZnS particles and polyester resin is developed based on the principle of Fermi-level shift, associated by piezoelectric effect. As the electron-hole recombination is responsible for light emission, it is possible to determine the number of emitted photons from the difference in number of conducting electrons between the stressed state and the thermal equilibrium condition. For the given emission color, characteristics of photomultiplier tube and deformation conditions, the emitted photons can be approximated. The model is expressed as A[exp (Bσ2) - 1] where σ is the applied stress, a pre-exponential A illustrates the efficiency of luminescent centers and the influences of dielectric and piezoelectric constants of ZnS host and temperature are displayed as the exponent factor B.

Constituting and Regulating Democracy: Kenya's Electoral Commission and the Courts in the 2010s

2021 ◽  
pp. 1-18
Author(s):  
Richard Stacey ◽  
Victoria Miyandazi
Keyword(s):  
Supreme Court ◽  
Presidential Election ◽  
Public Trust ◽  
Public Confidence ◽  
Close Attention ◽  
The Supreme Court ◽  
The Difference ◽  
Election Results

Abstract In August 2017, responding to a petition from the losing candidate in the presidential election held days before, the Supreme Court of Kenya declared the results of the election null and void. Dramatic in itself, the decision stands in surprising contrast to the same Court's decision to uphold the 2013 election results following a similar petition. Beyond the different outcomes in 2013 and 2017, the Court's jurisprudential approach to the two petitions was markedly different. The Court showed significant deference to the Independent Elections and Boundaries Commission (IEBC) in 2013, and did not seriously interrogate its conclusion that the election had been free and fair. In 2017, however, the Court scrutinised the IEBC's process and paid close attention to the reasons it gave for declaring the result free and fair. This article considers the difference in the Court's approach in two ways. First, from a prescriptive perspective, it suggests when it is appropriate for courts to closely scrutinise the work of elections management boards and other ‘fourth branch’ institutions protecting democracy (IPDs). The article argues that where an IPD performs a function that is constitutive of rights, courts should be prepared to intervene. By contrast, where an IPD performs a function that is regulative of already constituted rights, courts of review should act with deference. On this basis, the article concludes that the Court should have engaged in a deeper review of the IEBC's 2013 decision. Second, from a descriptive perspective, the article suggests that the difference between the Court's 2013 and 2017 approaches can be explained by waning levels of public trust in the IEBC alongside growing levels of public confidence in the judiciary.

scholarly journals “I Ask Your Voices and Your Suffrages”: The Bogus Rome of Peele and Shakespeare's Titus Andronicus

2016 ◽  
Vol 78 (4) ◽  
pp. 551-570 ◽  
Author(s):  
Paulina Kewes
Keyword(s):  
Subject Matter ◽  
The State ◽  
Close Attention ◽  
Titus Andronicus ◽  
Political Ideas ◽  
Collaborative Authorship ◽  
Institutional Structures ◽  
The Subject ◽  
Solo Works ◽  
The Difference

AbstractThis essay provides a contextual reading of Titus Andronicus, paying close attention to the play's collaborative authorship. Peele and Shakespeare are shown to have manufactured a superficially compelling but in reality utterly fake image of the Roman state as an imaginary laboratory for political ideas, especially the elective principle. Topical allusions and deliberate anachronisms encourage the audience to relate the subject matter to the present, viz., late Elizabethan England in the throes of a succession crisis and rent by confessional divisions. Unlike Peele's solo works, which exhibit a potent anti-Catholic bias, Titus remains confessionally elusive. The play invites the audience to reflect on the viability of particular modes of succession without committing itself either way, and shows that it is not institutional structures and processes but those who use and abuse them that make the difference to the state of the polity.

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