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How should we write multiple denominators?

How should we write multiple denominators? A B However, this notation uses a lot of space, and it is commonly accepted to write A/B, which is always used in computer languages. A problem arises if successive operations are to be performed; for example, if the ratio A/B is to be divided by C, one could write A B C -*min kg or, with the use of parentheses, (mg/kg) gmin. Similarly, mg/kg-min would mean (mg/kg) minus minute. This is more important than it appears at first, as confusion may exist, for example, when the gastrin response to a meal is measured in pg/ml* min or pgomlM1 min. These notations represent (pg/ml) l rein, i.e., the area under the curve, and in this case (pg/ml)/min would be meaningless. Based on this demonstration, I would propose to use either mg gkg-’ min-’ or mg/kg/min, as these notations should be satisfactory to physiologists as well as to mathematicians, physicists, and computer programmers. l l or Andre Dubois Department of Medicine, F. Edward Hebert School of Medicine, Uniformed Services University of the Health Sciences, Bethesda, Maryland 20814 Weak electrolyte absorption comment on a contribution modeling: AIB However, in computer languages, the convention is to use A/B/C. This notation is acceptable, based on the rule of priority commonly accepted in physics and calculus because it avoids the use of parentheses. According to this rule, the highest priority is attributed to exponents and roots, then multiplication and division, and finally to addition and subtraction. Operations are to be performed from the left to right when the priority is the same and if no parentheses are present. If one wants to completely clarify the notation, one could also write (A/ B)IC, although, by convention, this is not necessary. By this time, and if the reader is still reading, he/she may wonder where this demonstration is leading. The reason is that everyone in physiology is likely to use this type of notation. For example, if drugs are administered as a continuous infusion, one will give milligram per kilogram and per minute. This may be written w kg min However, this expression is awkward, and the common way to express such units should be mg* kg-‘. min-l or mg/kg/min. In contrast, two commonly used notations are not acceptable; they are mg/kg min and mg/kg-min; mg/kg. min would mean To the Editor: In a recent theoretical exercise Lucas (7) examined a model proposed in several studies from this laboratory (1) to describe the mechanism for transport of weak electrolytes across rat small intestine in vitro. Lucas (7) concluded that the model was “ill-conditioned and redundant” and that conclusions drawn from its application to empirical observations “cannot be regarded as definitive.” While it must be agreed that defmitive conclusions are rarely attainable, and certainly cannot derive from only one type of observation, it should be noted that Lucas’ analysis (7) has not discredited the proposed model and, in fact, has provided additional support for our conclusions concerning the utility of the system. The model consists of a series arrangement of three aqueous compartments. The pH value of the intermediate compartment (pHz) is different than that of the identical mucosal and serosal bulk phases (pH1). Contiguous compartments are separated by barriers that differ in their abilities to discriminate between the ionized and non-ionized forms of a transported weak electrolyte. This difference between the discriminatory character of the two barriers conveys an asymmetry to the system that, together with the driving force represented by the pH difference, establishes a basis for net transport of a weak electrolyte. G380 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png AJP - Gastrointestinal and Liver Physiology The American Physiological Society

How should we write multiple denominators?

AJP - Gastrointestinal and Liver Physiology , Volume 248: G380 – Mar 1, 1985

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Publisher
The American Physiological Society
Copyright
Copyright © 1985 the American Physiological Society
ISSN
0193-1857
eISSN
1522-1547
Publisher site
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Abstract

A B However, this notation uses a lot of space, and it is commonly accepted to write A/B, which is always used in computer languages. A problem arises if successive operations are to be performed; for example, if the ratio A/B is to be divided by C, one could write A B C -*min kg or, with the use of parentheses, (mg/kg) gmin. Similarly, mg/kg-min would mean (mg/kg) minus minute. This is more important than it appears at first, as confusion may exist, for example, when the gastrin response to a meal is measured in pg/ml* min or pgomlM1 min. These notations represent (pg/ml) l rein, i.e., the area under the curve, and in this case (pg/ml)/min would be meaningless. Based on this demonstration, I would propose to use either mg gkg-’ min-’ or mg/kg/min, as these notations should be satisfactory to physiologists as well as to mathematicians, physicists, and computer programmers. l l or Andre Dubois Department of Medicine, F. Edward Hebert School of Medicine, Uniformed Services University of the Health Sciences, Bethesda, Maryland 20814 Weak electrolyte absorption comment on a contribution modeling: AIB However, in computer languages, the convention is to use A/B/C. This notation is acceptable, based on the rule of priority commonly accepted in physics and calculus because it avoids the use of parentheses. According to this rule, the highest priority is attributed to exponents and roots, then multiplication and division, and finally to addition and subtraction. Operations are to be performed from the left to right when the priority is the same and if no parentheses are present. If one wants to completely clarify the notation, one could also write (A/ B)IC, although, by convention, this is not necessary. By this time, and if the reader is still reading, he/she may wonder where this demonstration is leading. The reason is that everyone in physiology is likely to use this type of notation. For example, if drugs are administered as a continuous infusion, one will give milligram per kilogram and per minute. This may be written w kg min However, this expression is awkward, and the common way to express such units should be mg* kg-‘. min-l or mg/kg/min. In contrast, two commonly used notations are not acceptable; they are mg/kg min and mg/kg-min; mg/kg. min would mean To the Editor: In a recent theoretical exercise Lucas (7) examined a model proposed in several studies from this laboratory (1) to describe the mechanism for transport of weak electrolytes across rat small intestine in vitro. Lucas (7) concluded that the model was “ill-conditioned and redundant” and that conclusions drawn from its application to empirical observations “cannot be regarded as definitive.” While it must be agreed that defmitive conclusions are rarely attainable, and certainly cannot derive from only one type of observation, it should be noted that Lucas’ analysis (7) has not discredited the proposed model and, in fact, has provided additional support for our conclusions concerning the utility of the system. The model consists of a series arrangement of three aqueous compartments. The pH value of the intermediate compartment (pHz) is different than that of the identical mucosal and serosal bulk phases (pH1). Contiguous compartments are separated by barriers that differ in their abilities to discriminate between the ionized and non-ionized forms of a transported weak electrolyte. This difference between the discriminatory character of the two barriers conveys an asymmetry to the system that, together with the driving force represented by the pH difference, establishes a basis for net transport of a weak electrolyte. G380

Journal

AJP - Gastrointestinal and Liver PhysiologyThe American Physiological Society

Published: Mar 1, 1985

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