Nonstandard Null Lagrangians and Gauge Functions for Newtonian Law of Inertia

Zdzislaw E. Musielak

doi:10.3390/physics3040056

Nonstandard Null Lagrangians and Gauge Functions for Newtonian Law of Inertia

Physics ◽

10.3390/physics3040056 ◽

2021 ◽

Vol 3 (4) ◽

pp. 903-912

Author(s):

Zdzislaw E. Musielak

Keyword(s):

Gauge Function ◽

Gauge Functions ◽

The Law ◽

Null Lagrangian

New null Lagrangians and gauge functions are derived and they are called nonstandard because their forms are different than those previously found. The invariance of the action is used to make the Lagrangians and gauge functions exact. The first exact nonstandard null Lagrangian and its gauge function for the law of inertia are obtained, and their physical implications are discussed.

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Ethical Challenges: Less About Moral Wrongdoing and More About Communication Breakdown

Perspectives on Gerontology ◽

10.1044/gero20.3.72 ◽

2015 ◽

Vol 20 (3) ◽

pp. 72-84 ◽

Cited By ~ 2

Author(s):

Paula Leslie ◽

Mary Casper

Keyword(s):

Ethical Challenges ◽

Speech Language Pathology ◽

Thickened Liquids ◽

Communication Breakdown ◽

Professional Duty ◽

Language Pathology ◽

The Law ◽

Personal Case

“My patient refuses thickened liquids, should I discharge them from my caseload?” A version of this question appears at least weekly on the American Speech-Language-Hearing Association's Community pages. People talk of respecting the patient's right to be non-compliant with speech-language pathology recommendations. We challenge use of the word “respect” and calling a patient “non-compliant” in the same sentence: does use of the latter term preclude the former? In this article we will share our reflections on why we are interested in these so called “ethical challenges” from a personal case level to what our professional duty requires of us. Our proposal is that the problems that we encounter are less to do with ethical or moral puzzles and usually due to inadequate communication. We will outline resources that clinicians may use to support their work from what seems to be a straightforward case to those that are mired in complexity. And we will tackle fears and facts regarding litigation and the law.

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