The Art of Teaching: A Helpful Technique in Teaching Solid Geometry

1940 ◽  
Vol 33 (1) ◽  
pp. 39-40
Author(s):  
James V. Bernardo
Keyword(s):  
Three Dimensional ◽  
The Real ◽  
Solid Geometry ◽  
Average Student ◽  
Art Of Teaching

It has been my experience; as it has been undoubtedly that of many who teach solid geometry, to find that the three-dimensional concepts are not easily conceived by the average student. He does not comprehend fully the meaning of the drawings of “solid” figures in one plane. To develop an aptitude for drawing and for interpreting figures is the real job for the teacher who is attempting to expound the propositions of the sixth, seventh, and eighth “Books” of Euclid.

The Art of Teaching: Teaching Solid Geometry

1943 ◽  
Vol 36 (3) ◽  
pp. 126-128
Author(s):  
Nancy C. Wylie
Keyword(s):  
Mathematics Teacher ◽  
Euclidean Geometry ◽  
Three Dimensional ◽  
Solid Geometry ◽  
Art Of Teaching ◽  
Spatial Imagination

This Article is corroborating and supplementing the timely suggestions made by James V. Bernardo in the January 1940 issue of The Mathematics Teacher, on the teaching of solid geometry. I say, timely; first, because of its contribution to the meager body of material on the teaching of these books of Euclidean geometry; second, because most instructors are ready to begin a new semester and desire all additional light on methods of presenting the three-dimensional concepts. Any aids for perfecting technique that will enable the instructor to help the pupil in developing his spatial imagination will, very probably, be received with enthusiasm.

Robot Assisted Modal Analysis on a Stationary Bladed Wheel

2014 ◽  
Author(s):  
L. Bertini ◽  
B. Monelli ◽  
P. Neri ◽  
C. Santus ◽  
A. Guglielmo
Keyword(s):  
Three Dimensional ◽  
Laser Doppler Vibrometer ◽  
Testing Time ◽  
Real Representation ◽  
The Real ◽  
Complex Formulation ◽  
Frequency Matching ◽  
Input Multiple Output ◽  
Multiple Measurements ◽  
Single Input

This paper shows an automated procedure to experimentally find the eigenmodes of a bladed wheel with highly three-dimensional geometry. The stationary wheel is supported in free-free conditions, neglecting stress-stiffening effects. The single input / multiple output approach was followed. The vibration speed was measured by means of a laser-Doppler vibrometer, and an anthropomorphic robot was used for accurate orientation and positioning of the measuring laser beam, allowing multiple measurements during a limited testing time. The vibration at corresponding points on each blade was measured and the data elaborated in order to find the initial (lower frequency) modes. These modal shapes were then compared to finite element simulations and accurate frequency matching and exact number of nodal diameters obtained. Being the modes cyclically harmonic, the complex formulation could be attractive, being not affected by the angular phase of the mode representation. Nevertheless, stationary modes were experimentally detected, rather than rotating, and then the real representation was necessary. The discrete Fourier transform of the blade displacements easily allowed to find both the angular phase and the correct number of nodal diameters. Successful MAC experimental to analytical comparison was finally obtained with the real representation after introducing the proper angular phase for each mode.

scholarly journals Real-Life Continuous Flash Suppression - Rendering The Real World Unconscious Using Augmented Reality Goggles

2018 ◽  
Author(s):  
Uri Korisky ◽  
Rony Hirschhorn ◽  
Liad Mudrik
Keyword(s):  
Augmented Reality ◽  
Real World ◽  
Three Dimensional ◽  
Real Life ◽  
Continuous Flash Suppression ◽  
Future Studies ◽  
The Real ◽  
Dominant Eye ◽  
Novel Variant ◽  
Real Objects

Notice: a peer-reviewed version of this preprint has been published in Behavior Research Methods and is available freely at http://link.springer.com/article/10.3758/s13428-018-1162-0Continuous Flash Suppression (CFS) is a popular method for suppressing visual stimuli from awareness for relatively long periods. Thus far, it has only been used for suppressing two-dimensional images presented on-screen. We present a novel variant of CFS, termed ‘real-life CFS’, with which the actual immediate surroundings of an observer – including three-dimensional, real life objects – can be rendered unconscious. Real-life CFS uses augmented reality goggles to present subjects with CFS masks to their dominant eye, leaving their non-dominant eye exposed to the real world. In three experiments we demonstrate that real objects can indeed be suppressed from awareness using real-life CFS, and that duration suppression is comparable that obtained using the classic, on-screen CFS. We further provide an example for an experimental code, which can be modified for future studies using ‘real-life CFS’. This opens the gate for new questions in the study of consciousness and its functions.

scholarly journals XRSISE: An XR Training System for Interactive Simulation and Ergonomics Assessment

2021 ◽  
Vol 2 ◽  
Author(s):  
Michail Pavlou ◽  
Dimitrios Laskos ◽  
Evangelia I. Zacharaki ◽  
Konstantinos Risvas ◽  
Konstantinos Moustakas
Keyword(s):  
Virtual World ◽  
Three Dimensional ◽  
Cost Effective ◽  
Knowledge Retention ◽  
Training System ◽  
Human Model ◽  
Interactive Simulation ◽  
Industrial Training ◽  
The Real ◽  
Physical Constraints

The use of virtual reality (VR) techniques for industrial training provides a safe and cost effective solution that contributes to increased engagement and knowledge retention levels. However, the process of experiential learning in a virtual world without biophysical constraints might contribute to muscle strain and discomfort, if ergonomic risk factors are not considered in advance. Under this scope, we have developed a digital platform which employs extended reality (XR) technologies for the creation and delivery of industrial training programs, by taking into account the users and workplace specificities through the adaptation of the 3D virtual world to the real environment. Our conceptual framework is composed of several inter-related modules: 1) the XR tutorial creation module, for automatic recognition of the sequence of actions composing a complex scenario while this is demonstrated by the educator in VR, 2) the XR tutorial execution module, for the delivery of visually guided and personalized XR training experiences, 3) the digital human model (DHM) based simulation module for creation and demonstration of job task simulations avoiding the need of an actual user and 4) the biophysics assessment module for ergonomics analysis given the input received from the other modules. Three-dimensional reconstruction and aligned projection of the objects situated in the real scene facilitated the imposition of inherent physical constraints, thereby allowed to seamlessly blend the virtual with the real world without losing the sense of presence.

scholarly journals The Real Era of the Art of Medicine Begins with Artificial Intelligence (Preprint)

2019 ◽  
Author(s):  
Bertalan Meskó
Keyword(s):  
Artificial Intelligence ◽  
Digital Health ◽  
Medical Science ◽  
Three Dimensional ◽  
Three Dimensional Printing ◽  
The Real ◽  
Art Of Medicine ◽  
Health Technologies ◽  
Based Medicine ◽  
Dimensional Printing

UNSTRUCTURED Physicians have been performing the art of medicine for hundreds of years, and since the ancient era, patients have turned to physicians for help, advice, and cures. When the fathers of medicine started writing down their experience, knowledge, and observations, treating medical conditions became a structured process, with textbooks and professors sharing their methods over generations. After evidence-based medicine was established as the new form of medical science, the art and science of medicine had to be connected. As a result, by the end of the 20th century, health care had become highly dependent on technology. From electronic medical records, telemedicine, three-dimensional printing, algorithms, and sensors, technology has started to influence medical decisions and the lives of patients. While digital health technologies might be considered a threat to the art of medicine, I argue that advanced technologies, such as artificial intelligence, will initiate the real era of the art of medicine. Through the use of reinforcement learning, artificial intelligence could become the stethoscope of the 21st century. If we embrace these tools, the real art of medicine will begin now with the era of artificial intelligence.

scholarly journals RESONANCES ON HEDGEHOG MANIFOLDS

2013 ◽  
Vol 53 (5) ◽  
pp. 416-426 ◽  
Author(s):  
Pavel Exner ◽  
Jiří Lipovský
Keyword(s):  
Real Axis ◽  
Quantum Particle ◽  
Single Point ◽  
Three Dimensional ◽  
High Energy ◽  
Quantum Graphs ◽  
The Real ◽  
Momentum Plane ◽  
Embedded Eigenvalues ◽  
Aharonov Bohm

We discuss resonances for a nonrelativistic and spinless quantum particle confined to a two- or three-dimensional Riemannian manifold to which a finite number of semiinfinite leads is attached. Resolvent and scattering resonances are shown to coincide in this situation. Next we consider the resonances together with embedded eigenvalues and ask about the high-energy asymptotics of such a family. For the case when all the halflines are attached at a single point we prove that all resonances are in the momentum plane confined to a strip parallel to the real axis, in contrast to the analogous asymptotics in some metric quantum graphs; we illustrate this on several simple examples. On the other hand, the resonance behaviour can be influenced by a magnetic field. We provide an example of such a ‘hedgehog’ manifold at which a suitable Aharonov-Bohm flux leads to absence of any true resonance, i.e. that corresponding to a pole outside the real axis.

Large‐scale three‐dimensional seismic models and their interpretive significance

Geophysics ◽  
1990 ◽  
Vol 55 (9) ◽  
pp. 1166-1182 ◽  
Author(s):  
Irshad R. Mufti
Keyword(s):  
Finite Difference ◽  
Wave Field ◽  
Large Scale ◽  
Three Dimensional ◽  
Synthetic Data ◽  
Real Data ◽  
The Real ◽  
Need To Evaluate ◽  
Zero Offset ◽  
Seismic Models

Finite‐difference seismic models are commonly set up in 2-D space. Such models must be excited by a line source which leads to different amplitudes than those in the real data commonly generated from a point source. Moreover, there is no provision for any out‐of‐plane events. These problems can be eliminated by using 3-D finite‐difference models. The fundamental strategy in designing efficient 3-D models is to minimize computational work without sacrificing accuracy. This was accomplished by using a (4,2) differencing operator which ensures the accuracy of much larger operators but requires many fewer numerical operations as well as significantly reduced manipulation of data in the computer memory. Such a choice also simplifies the problem of evaluating the wave field near the subsurface boundaries of the model where large operators cannot be used. We also exploited the fact that, unlike the real data, the synthetic data are free from ambient noise; consequently, one can retain sufficient resolution in the results by optimizing the frequency content of the source signal. Further computational efficiency was achieved by using the concept of the exploding reflector which yields zero‐offset seismic sections without the need to evaluate the wave field for individual shot locations. These considerations opened up the possibility of carrying out a complete synthetic 3-D survey on a supercomputer to investigate the seismic response of a large‐scale structure located in Oklahoma. The analysis of results done on a geophysical workstation provides new insight regarding the role of interference and diffraction in the interpretation of seismic data.

Computer Aided Tolerance Analysis of Parts and Assemblies

1989 ◽  
Author(s):  
R. T. Scott ◽  
G. A. Gabriele
Keyword(s):  
Real World ◽  
Probability Distributions ◽  
Three Dimensional ◽  
Tolerance Analysis ◽  
The Real ◽  
Assembly Tolerance ◽  
Computer Aided ◽  
Probability Information ◽  
Exact Constraint

Abstract An exact constraint scheme based on the physical contacting constraints of real part mating features is used to represent the process of assembling the parts. To provide useful probability information about how assembly dimensions are distributed when the parts are assembled as intended, the real world constraints that would prevent interference are ignored. This work addresses some limitations in the area of three dimensional assembly tolerance analysis. As a result of this work, the following were demonstrated: 1. Assembly of parts whose assembly mating features are subjected to variation; 2. Assemble parts using a real world set of exact constraints; 3. Provide probability distributions of assembly dimensions.

Representation and Elaboration of Architectural Perspectives

2017 ◽  
pp. 384-414
Author(s):  
Cristina Càndito
Keyword(s):  
Seventeenth Century ◽  
High Resolution ◽  
Three Dimensional ◽  
Virtual Space ◽  
Present Contribution ◽  
Optical Illusions ◽  
The Real ◽  
Dimensional Models ◽  
Three Dimensional Models ◽  
Architectural Perspective

In the present contribution, the author presents research on the Winter Room of Palazzo Brignole-Sale (Palazzo Rosso) in Genoa, Italy, which is part of the decorative cycle of the Seasons. The cycle displays the peculiar characteristics of the seventeenth-century Genoese decorative style, where architecture, painting, furniture and stuccos are highly interconnected. The research was carried out using the data collected with nodal-photography techniques. Thanks to these techniques, it was to possible to obtain an interactive panoramic spherical photo and high-resolution scaled photos of planar projections of the architectural perspective, in order to identify the real and illusory space. The analysis proceeded with a series of reverse-perspective constructions and the consequent reconstruction (using three-dimensional models) of the possible virtual space represented in the paintings. Thanks to this information, the author was able to carry out the necessary study to understand the peculiar characteristics of the decorations, the optical illusions of which are extremely impressive.

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