Visual Aids for Relating Direct and Inverse Circular Functions

1972 ◽  
Vol 65 (5) ◽  
pp. 431
Author(s):  
William K. Viertel
Keyword(s):  
Inverse Function ◽  
Trigonometric Function ◽  
Visual Aids ◽  
Transparent Material ◽  
Visual Aid ◽  
One To One ◽  
Circular Functions ◽  
Relationship Of ◽  
The Relationship

A visual aid for vividly demonstrating the relationship of the direct and inverse circular functions can be made quite easily and cheaply out of transparent sheets. The principle is simple, and the aid is similar to the graphs that are shown in all trigonometry texts. A graph of a trigonometric function is drawn on transparent material for an interval that makes it a one-to-one function. This graph is then turned over and rotated 90°, so that the x- and y-axes are interchanged and properly directed. The viewer now sees the graph of the inverse function with the proper domain and range.

Cytochrome Oxidase Activity and Body Weight in Rats and in Three Species of Large Animals

1956 ◽  
Vol 186 (2) ◽  
pp. 203-206 ◽  
Author(s):  
H. O. Kunkel ◽  
John F. Spalding ◽  
Glovanni de Franciscis ◽  
Mary F. Futrell
Keyword(s):  
Body Weight ◽  
Cytochrome Oxidase ◽  
Oxidase Activity ◽  
Inverse Function ◽  
The Body ◽  
Unit Weight ◽  
Cytochrome Oxidase Activity ◽  
Large Animals ◽  
Relationship Of ◽  
The Relationship

Study of the relationship of cytochrome oxidase activity of certain tissues to the body weight has been extended to include three species of large animals. In the comparison of rats, sheep, swine and cattle, the cytochrome oxidase activity of skeletal muscle (principally of the gracilis) was found to be roughly an inverse function of body weight. A logarithmic regression of –0.239 was calculated. Although the cytochrome oxidase activity per unit weight of liver in the sheep, swine and cattle series does not reflect the variation in body mass, the regression of the logarithm of total liver cytochrome oxidase activity on the logarithm of body weight was calculated to be 0.674. The data support the concept that the summated total measurable cytochrome oxidase activity is very nearly proportional to body weight to the 3/4 power and, hence, to basal metabolism.

scholarly journals Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Yanqin Liu ◽  
Limei Yan
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Trigonometric Function ◽  
Hyperbolic Function ◽  
Rational Solutions ◽  
Coupled Equations ◽  
Hyperbolic Function Solutions ◽  
Trigonometric Function Solutions ◽  
Relationship Of ◽  
The Relationship

A new generalized fractional subequation method based on the relationship of fractional coupled equations is proposed. This method is applied to the space-time fractional coupled Konopelchenko-Dubrovsky equations and Nizhnik-Novikov-Veselov equations. As a result, many exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations.

scholarly journals Emotional Presence in a Relationship of Inquiry: The Case of One-to-One Online Math Coaching

2016 ◽  
Vol 20 (1) ◽  
Author(s):  
Stefan Stenbom ◽  
Martha Cleveland-Innes ◽  
Stefan Hrastinski
Keyword(s):  
Social Presence ◽  
Online Community ◽  
Community Of Inquiry ◽  
Social Teaching ◽  
Critical Component ◽  
Online Coaching ◽  
One To One ◽  
Math Coaching ◽  
Relationship Of ◽  
The Relationship

Emotions have been confirmed to be a critical component of the process of learning. In the online Community of Inquiry theoretical framework, and the recently suggested online Relationship of Inquiry framework, emotions are considered a subsection of social presence. In this study, the concept of emotional presence is examined. This examination occurs within the Relationship of Inquiry framework, developed to analyze one-to-one online coaching. A survey of online coaches and a transcript coding procedure from the online coaching service Math Coach provide the data for the study. The results indicate that a Relationship of Inquiry framework consisting of cognitive, social, teaching, and emotional presence enhances the exploration of one-to-one online coaching settings. The interpretation of these results identifies emotional presence as an essential and distinct part of one-to-one online math coaching.

scholarly journals An Empire of Letters: The Vindolanda Tablets, Epistolarity, and Roman Governance

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Liz Stanley
Keyword(s):  
Military Occupation ◽  
Wood Veneer ◽  
Characteristic Mode ◽  
Life And Death ◽  
Roman Military ◽  
One To One ◽  
The Many ◽  
Roman Letter ◽  
Relationship Of ◽  
The Relationship

Around 800 Roman tilia—writing tablets made from folded slivers of wood veneer and a little over postcard size—have been found in archaeological investigations at Vindolanda, a Roman fort in northern England. Dated to the period 85 CE to 130 CE, their existence is helping revise knowledge of the Roman letter and the part it played in how military governance was organized, the ways in which personal, public, and military aspects were interrelated, as well as informing other relationships existing between the occupying imperial legions and local Britons. Discussion focuses on four connected areas of inquiry. Firstly, it explores the relationship of the several hundred letters to the many other kinds of Vindolanda writings, for this gives perspective on the boundaries of these different genres and the uses to which they were put. Secondly, it analyzes the many overlaps that exist between what are one-to-one letters and what are public documents, and it considers the significance of this for understanding the legion as a form of familia. Thirdly, it discusses the role that letters and their cognates, and writing and records generally, played in Roman military occupation and rule. The Vindolanda letters had a particular import because their characteristic mode of expression facilitated and enhanced connections between members of the auxiliary cohorts, in ensuring that the performance of military duties occurred in the context of familia-like bonds, and for this to permeate beyond the letters, to the life-and-death activities of soldiering involved. And fourthly, it discusses the importance for epistolary studies of these matters.

scholarly journals Inter-relationship of Precocity, Prolificacy, and Percentage Kernel in Pecan

HortScience ◽  
1990 ◽  
Vol 25 (3) ◽  
pp. 297-299
Author(s):  
Darrell Sparks
Keyword(s):  
Carya Illinoensis ◽  
One To One ◽  
Highly Correlated ◽  
Relationship Of ◽  
The Relationship

The inter-relationship of precocity, prolificacy, and kernel percentage was studied in pecan [Carya illinoensis (Wangenh.) C. Koch]. Prolificacy was highly correlated with precocity, but the relationship was not one to one. Increased precocity resulted in proportionately smaller increase in prolificacy. Variability in kernel percentage increased with prolificacy.

The relationship of the scleractinian corals to the rugose corals

Paleobiology ◽  
1980 ◽  
Vol 6 (02) ◽  
pp. 146-160 ◽  
Author(s):  
William A. Oliver
Keyword(s):  
Critical Points ◽  
Scleractinian Corals ◽  
Convincing Evidence ◽  
Early Triassic ◽  
Rugose Corals ◽  
History Of ◽  
The Subject ◽  
Relationship Of ◽  
The Relationship ◽  
Biologic Factors

The Mesozoic-Cenozoic coral Order Scleractinia has been suggested to have originated or evolved (1) by direct descent from the Paleozoic Order Rugosa or (2) by the development of a skeleton in members of one of the anemone groups that probably have existed throughout Phanerozoic time. In spite of much work on the subject, advocates of the direct descent hypothesis have failed to find convincing evidence of this relationship. Critical points are:(1) Rugosan septal insertion is serial; Scleractinian insertion is cyclic; no intermediate stages have been demonstrated. Apparent intermediates are Scleractinia having bilateral cyclic insertion or teratological Rugosa.(2) There is convincing evidence that the skeletons of many Rugosa were calcitic and none are known to be or to have been aragonitic. In contrast, the skeletons of all living Scleractinia are aragonitic and there is evidence that fossil Scleractinia were aragonitic also. The mineralogic difference is almost certainly due to intrinsic biologic factors.(3) No early Triassic corals of either group are known. This fact is not compelling (by itself) but is important in connection with points 1 and 2, because, given direct descent, both changes took place during this only stage in the history of the two groups in which there are no known corals.

Skeletal elements of crinoid echinoderms: High-resolution structural and microanalytical results

1983 ◽  
Vol 41 ◽  
pp. 194-195
Author(s):  
D. F. Blake ◽  
L. F. Allard ◽  
D. R. Peacor
Keyword(s):  
High Resolution ◽  
Marine Invertebrates ◽  
Sea Urchins ◽  
Structural Features ◽  
Sea Stars ◽  
High Resolution Tem ◽  
Relationship Of ◽  
The Relationship ◽  
Insight Into

Echinodermata is a phylum of marine invertebrates which has been extant since Cambrian time (c.a. 500 m.y. before the present). Modern examples of echinoderms include sea urchins, sea stars, and sea lilies (crinoids). The endoskeletons of echinoderms are composed of plates or ossicles (Fig. 1) which are with few exceptions, porous, single crystals of high-magnesian calcite. Despite their single crystal nature, fracture surfaces do not exhibit the near-perfect {10.4} cleavage characteristic of inorganic calcite. This paradoxical mix of biogenic and inorganic features has prompted much recent work on echinoderm skeletal crystallography. Furthermore, fossil echinoderm hard parts comprise a volumetrically significant portion of some marine limestones sequences. The ultrastructural and microchemical characterization of modern skeletal material should lend insight into: 1). The nature of the biogenic processes involved, for example, the relationship of Mg heterogeneity to morphological and structural features in modern echinoderm material, and 2). The nature of the diagenetic changes undergone by their ancient, fossilized counterparts. In this study, high resolution TEM (HRTEM), high voltage TEM (HVTEM), and STEM microanalysis are used to characterize tha ultrastructural and microchemical composition of skeletal elements of the modern crinoid Neocrinus blakei.

Studies on Leukemogenic and Sarcomagenic Viruses

1970 ◽  
Vol 28 ◽  
pp. 156-157
Author(s):  
Leon Dmochowski
Keyword(s):  
Electron Microscopy ◽  
Electron Microscope ◽  
Morphological Properties ◽  
Mode Of Development ◽  
Relationship Of ◽  
The Relationship

Electron microscopy has proved to be an invaluable discipline in studies on the relationship of viruses to the origin of leukemia, sarcoma, and other types of tumors in animals and man. The successful cell-free transmission of leukemia and sarcoma in mice, rats, hamsters, and cats, interpreted as due to a virus or viruses, was proved to be due to a virus on the basis of electron microscope studies. These studies demonstrated that all the types of neoplasia in animals of the species examined are produced by a virus of certain characteristic morphological properties similar, if not identical, in the mode of development in all types of neoplasia in animals, as shown in Fig. 1.

The relationship of IGE receptor topography to signaling activity in RBL-2H3 mast cells

1991 ◽  
Vol 49 ◽  
pp. 236-237
Author(s):  
J.R. Pfeiffer ◽  
J.C. Seagrave ◽  
C. Wofsy ◽  
J.M. Oliver
Keyword(s):  
Mast Cells ◽  
Protein A ◽  
Scattered Electron ◽  
Ige Receptor ◽  
Receptor Complexes ◽  
Ige Binding ◽  
Electron Imaging ◽  
Small Clusters ◽  
Relationship Of ◽  
The Relationship

In RBL-2H3 rat leukemic mast cells, crosslinking IgE-receptor complexes with anti-IgE antibody leads to degranulation. Receptor crosslinking also stimulates the redistribution of receptors on the cell surface, a process that can be observed by labeling the anti-IgE with 15 nm protein A-gold particles as described in Stump et al. (1989), followed by back-scattered electron imaging (BEI) in the scanning electron microscope. We report that anti-IgE binding stimulates the redistribution of IgE-receptor complexes at 37“C from a dispersed topography (singlets and doublets; S/D) to distributions dominated sequentially by short chains, small clusters and large aggregates of crosslinked receptors. These patterns can be observed (Figure 1), quantified (Figure 2) and analyzed statistically. Cells incubated with 1 μg/ml anti-IgE, a concentration that stimulates maximum net secretion, redistribute receptors as far as chains and small clusters during a 15 min incubation period. At 3 and 10 μg/ml anti-IgE, net secretion is reduced and the majority of receptors redistribute rapidly into clusters and large aggregates.

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