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This chapter describes the basics of scientific figures. It provides tips for identifying different types of figures, such as experimental protocol figures, data figures, and summary figures. There is a description of ways to compare groups and of different types of variables. A short discussion of statistics is included, describing elements such as central tendency, dispersion, uncertainty, outliers, distributions, and statistical tests to assess differences. Following that is a short overview of a few of the more common graph types, such as bar graphs, boxplots, violin plots, and raincloud plots, describing the advantages that each provides. The end of the chapter is an “Understanding Graphs at a Glance” section which gives the reader a step-by-step outline for interpreting many of the graphs commonly used in neuroscience research, applicable independently of the methodology used to collect those data.
This work presents the study of multiphase relations of classical Cepheids in the Magellanic Clouds for short periods (log P < 1) and long periods (log P > 1). From the analysis, it has been found that the multiphase relations obtained using the models as well as observations are highly dynamic with pulsational phase. The multiphase relations for short and long periods are found to display contrasting behaviour for both LMC and SMC. It has been observed that the multiphase relations obtained using the models agree better with the observations in the PC plane in most phases in comparison to the PL plane. Multiphase relations obtained using the models display a clear distinction among different convection sets in most phases. Comparison of models and observations in the multiphase plane is one way to test the models with the observations and to constrain the theory of stellar pulsation.
GAL is one of the most ambitious projects to capture the role of procedure in global governance. Other concepts are briefly introduced and compared. The idea of procedural justice as akin to GAL in scope but focusing on perceptions of fairness and legitimacy rather than normativity emerges.
The main strands of international relations theory regarding institutions are briefly introduced. The work focuses on rational choice, notably Rational Institutional Design theory.
To unite the concept of procedural justice with the perspective and methods of rational institutional design, the factor of state interest is studied. It is shown how state interest can operate even within nominally private institutions and which factors determine whether and how a state is interested in introducing procedural justice.
The codebook variables creating the matrix of sensitivity of state interest - quantitative and qualitative procedural density is introduced. The mode of sample collection is explained.
Experiments allow researchers to determine cause and effect relations between variables. As such, they are a critical component in the advance of scientific psychology. In this chapter, we discuss the theory behind the design of good experiments, and provide a sample study for evaluation. We outline three important types of replication, and give an overview of historical events that led to a renewed vigilance regarding replicability. Finally, we discuss generalizability of research in terms of four factors: Subjects (or participants), materials used in the experiment, dependent measures, and the experimental situation. Effects that generalize across these sets of factors are robust. We end the chapter with a set of 18 critical-thinking questions that should be borne in mind while reading and evaluating experimental research. Referring to these questions will help to sharpen critical thinking skills about experimental research.
In this chapter I introduce the notion of arbitrary object and give an initial discussion of it. I take puzzles surrounding the notion of arbitrary object as key questions that should motivate and inspire the construction of a metaphysical theory of arbitrary objects. The theory that I propose bears resemblance to Kit Fine's theory of arbitrary objects. Moreover, key elements of the theory of arbitrary objects can already be found in the theory of variables in Russell's \emph{Principles of Mathematics}.
Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day.
Generating random integers and selecting random values from a list shows readers how to create simple games and a basic maths quiz. The eight challenges help them experiment with the Python language and create workable solutions to improve their programming skills.
Readers learn about numeric arrays and data types such as integer, long, floating-point and double. They are shown how to import the array library, define an array in Python, append data, extend and combine arrays, remove items from an array along with sort and reverse arrays. They complete eight challenges to explore using numeric arrays in Python.
We strengthen certain results concerning actions of $\left( \mathbb{C},\,+ \right)$ on ${{\mathbb{C}}^{3}}$ and embeddings of ${{\mathbb{C}}^{2}}$ in ${{\mathbb{C}}^{3}}$, and show that these results are in fact valid over any field of characteristic zero.
A periodogram analysis of the radial velocities and absorption line strengths from IUE spectra of HD 50896 show evidence of the 3.766 day period usually associated with this star. The dominant line variations occur on time scales of ∼ 1 day but may be interpreted as higher order harmonics of the 3.766 day period.
Observational data suggest that WR atmospheres must be considered as highly inhomogeneous objects incorporating strong shocks induced by radiative instability and full-scale supersonic turbulence, with relatively small mean mass-loss rates.
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