Technology Tips: Using FluidMath to Explore Recursive and Explicit Functions

2013 ◽  
Vol 106 (6) ◽  
pp. 468-471
Author(s):  
Maria L. Hernandez ◽  
Nils Ahbel
Keyword(s):  
Software Tool ◽  
Interactive Whiteboards ◽  
Input Device ◽  
Mathematical Notation ◽  
Dynamic Graph ◽  
Mathematical Relationship ◽  
Tablet Devices ◽  
Solution Of Equations ◽  
Parametric Functions ◽  
Polar Functions

luidMath™ (www.fluiditysoftware.com), a new mathematics software tool for Tablet devices, computers, and interactive whiteboards, can create a dynamic graph or table with a simple gesture and recognize written expressions as the mathematical relationship they intend. The software uses a stylus as its input device. By changing constant values in an equation to parameters, the user can create sliders instantly and see graphs and tables change dynamically. The CAS (Computer Algebra System) functionality allows simplification of algebraic expressions and solution of equations and can perform all the calculations from algebra through calculus. FluidMath uses standard mathematical notation to explore explicitly and implicitly defined functions, parametric functions, polar functions, and recursively defined functions.

scholarly journals Regular Expressions as Violin Bowing Patterns

2012 ◽  
Vol 36 (2) ◽  
pp. 74-84
Author(s):  
Cordelia Hall ◽  
John T. O'Donnell
Keyword(s):  
Software Tool ◽  
Formal Languages ◽  
Regular Expressions ◽  
Mathematical Notation ◽  
Computer Based ◽  
Simple Class ◽  
Complex Patterns ◽  
Practice Time ◽  
String Music

String players spend a significant amount of practice time creating and learning bowings. These may be indicated in the music using up-bow and down-bow symbols, but those traditional notations do not capture the complex bowing patterns that are latent within the music. Regular expressions, a mathematical notation for a simple class of formal languages, can describe precisely the bowing patterns that commonly arise in string music. A software tool based on regular expressions enables performers to search for passages that can be handled with similar bowings, and to edit them consistently. A computer-based music editor incorporating bowing patterns has been implemented, using Lilypond to typeset the music. Our approach has been evaluated by using the editor to study ten movements from six violin sonatas by W. A. Mozart. Our experience shows that the editor is successful at finding passages and inserting bowings; that relatively complex patterns occur a number of times; and that the bowings can be inserted automatically and consistently.

Effects of attentional demand on input device use in younger and older adults

2003 ◽  
Author(s):  
Anne C. McLaughlin ◽  
Wendy A. Rogers ◽  
Arthur D. Fisk
Keyword(s):  
Older Adults ◽  
Input Device ◽  
Attentional Demand ◽  
Device Use

A Study of the Reactivity of the Elderly When Playing Cognitive Rehabilitation Games on Tablet Devices

2017 ◽  
Vol 26 (2) ◽  
pp. 57-65 ◽  
Author(s):  
이현숙 ◽  
김정완 ◽  
Yang-Gyu Choi ◽  
현정임
Keyword(s):  
Cognitive Rehabilitation ◽  
The Elderly ◽  
Tablet Devices

Enlightening Symbols

2016 ◽  
Author(s):  
Joseph Mazur
Keyword(s):  
Sixteenth Century ◽  
Number System ◽  
Psychological Effects ◽  
Mathematical Notation ◽  
Rhetorical Style ◽  
The Past ◽  
Mathematical Symbols ◽  
Before And After ◽  
New Ideas ◽  
Different Cultures

While all of us regularly use basic mathematical symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? This book explains the fascinating history behind the development of our mathematical notation system. It shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, the book looks at how historians have disagreed over the origins of the number system for the past two centuries. It follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. It also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. It considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

Local block relaxation method for the solution of equations of gasdynamics

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1377-1384
Author(s):  
Carlo de Nicola ◽  
Renato Tognaccini ◽  
Vittorio Puoti
Keyword(s):  
Relaxation Method ◽  
Solution Of Equations ◽  
Block Relaxation ◽  
Local Block
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