376. The Introduction to the Idea of a Negative Number

1912 ◽  
Vol 6 (99) ◽  
pp. 339
Author(s):  
E. W. P. Temperley
Keyword(s):  
Negative Number

Exploring the Boundaries of the Number–Temporal Order Association

2015 ◽  
Vol 62 (3) ◽  
pp. 198-205 ◽  
Author(s):  
Dana Ganor-Stern
Keyword(s):  
Embodied Cognition ◽  
Mental Representation ◽  
Temporal Order ◽  
Past Research ◽  
Numerical Comparison ◽  
Negative Number ◽  
Comparison Task ◽  
Negative Numbers ◽  
The Past

Past research has shown that numbers are associated with order in time such that performance in a numerical comparison task is enhanced when number pairs appear in ascending order, when the larger number follows the smaller one. This was found in the past for the integers 1–9 ( Ben-Meir, Ganor-Stern, & Tzelgov, 2013 ; Müller & Schwarz, 2008 ). In the present study we explored whether the advantage for processing numbers in ascending order exists also for fractions and negative numbers. The results demonstrate this advantage for fraction pairs and for integer-fraction pairs. However, the opposite advantage for descending order was found for negative numbers and for positive-negative number pairs. These findings are interpreted in the context of embodied cognition approaches and current theories on the mental representation of fractions and negative numbers.

What does the crowd think? How online comments and popularity metrics affect news credibility and issue importance

2017 ◽  
Vol 20 (8) ◽  
pp. 3068-3083 ◽  
Author(s):  
T Franklin Waddell
Keyword(s):  
News Media ◽  
Indirect Pathway ◽  
Negative Number ◽  
Study Results ◽  
Online Comments ◽  
News Credibility ◽  
Reader Comments ◽  
Construct Accessibility ◽  
Main Model ◽  
Issue Importance

Online comments hold the potential to promote positive deliberative outcomes, although past work has also shown that comments can have undesired effects when the sentiment of the crowd turns negative. Does the presence of comments possibly bolster or interfere with the reception and traditional functions of news media? Informed by the Modality-Agency-Interactivity-Navigability (MAIN) model, an online experiment tested the effect of reader comments (positive vs negative), number of “re-tweets” and “likes” (low vs high), and coverage frequency (infrequent vs frequent) on news credibility and issue importance. Negative reader comments (relative to positive comments) decreased message credibility and issue importance through the sequential indirect pathway of bandwagon perceptions, attention, and construct accessibility. Study results suggest that the traditional functions of news media may be hindered by audience incivility.

scholarly journals Beyond Natural Numbers: Negative Number Representation in Parietal Cortex

2012 ◽  
Vol 6 ◽  
Author(s):  
Kristen P. Blair ◽  
Miriam Rosenberg-Lee ◽  
Jessica M. Tsang ◽  
Daniel L. Schwartz ◽  
Vinod Menon
Keyword(s):  
Parietal Cortex ◽  
Number Representation ◽  
Natural Numbers ◽  
Negative Number

A note on positive harmonic functions

1948 ◽  
Vol 44 (2) ◽  
pp. 289-291 ◽  
Author(s):  
S. Verblunsky
Keyword(s):  
Harmonic Function ◽  
Harmonic Functions ◽  
Duke Math ◽  
Negative Number ◽  
Image Position ◽  
American Math ◽  
Positive Harmonic Functions

If H(ξ, η) is a harmonic function which is defined and positive in η > 0, then there is a non-negative number D and a bounded non-decreasing function G(x) such that(For a proof, see Loomis and Widder, Duke Math. J. 9 (1942), 643–5.) If we writewhere λ > 1, then the equationdefines a harmonic function h which is positive in υ > 0. Hence there is a non-negative number d and a bounded non-decreasing function g(x) such thatThe problem of finding the connexion between the functions G(x) and g(x) has been mentioned by Loomis (Trans. American Math. Soc. 53 (1943), 239–50, 244).

Generalized definition and application of tolerance

2019 ◽  
Vol 233 (19-20) ◽  
pp. 6807-6814
Author(s):  
Hao Jianjun ◽  
Wang Youli ◽  
Wang Xiaohui
Keyword(s):  
Error Compensation ◽  
Extreme Values ◽  
Probabilistic Method ◽  
Tolerance Analysis ◽  
Machining Process ◽  
Negative Number ◽  
Absolute Value ◽  
Calculation Results ◽  
Relationship Of ◽  
Dimensional Homogeneity

Tolerance with upper deviation less than lower deviation is defined as virtual tolerance; the dimension between two extreme values required with tolerance (virtual tolerance) is expressed by a set. The changed characteristics of the set range when the tolerance value is continuously reduced from positive to negative are explored. The nature of virtual tolerance is that the absolute value of virtual tolerance is the error compensation amount, and the dimension between two extreme values is the error compensation range. On the basis of the concept of positive and negative number, the theory of dimensional homogeneity, the existing conditions of the general formula of the dimensional chain, the accuracy of the calculation results of tolerance, and so on, the concept of virtual tolerance and its relationship of unity of opposites with tolerance are proposed. Based on the concept of virtual tolerance, analysis and calculation processes of various assembly dimensional chains are unified, and general formulation of calculating the range of false waste is established, and the method of determining the range of false waste by using probabilistic method in machining process is deduced.

scholarly journals Sets with a negative number of elements

1992 ◽  
Vol 91 (1) ◽  
pp. 64-74 ◽  
Author(s):  
D Loeb
Keyword(s):  
Negative Number

Models for Rational Number Bases

1975 ◽  
Vol 68 (2) ◽  
pp. 113-123
Author(s):  
Jean J. Pedersen ◽  
Frank O. Armbruster
Keyword(s):  
Natural Number ◽  
Rational Number ◽  
Binary Representation ◽  
Base System ◽  
Negative Number

We think it’s important that you have some background on how this article came to be written. One of the authors sometimes plays a game he invented, called “hats,” in which he puts on a funny hat and converts base-ten numerals into another base representation. For example, he puts on a beanie and calls for anyone to say a favorite number. Someone says “six.” He goes to the chalkboard and writes “110,” The object of the game is for the students to figure out what he is doing, Someone who figures it out says, “Gotcha!” And then that person gets to wear the hat until someone else says, “Gotcha!” (In case you haven’t “got it” yet, the beanie hat converts numbers to the binary representation.) Several hats are used in the course of play, and each represents a different number base, but it’s always a natural number base greater than one. Recently we began to wonder if perhaps you can have a negative number base system in which the base is not an integer. And if you can, what will the numerals look like?

Lectotypification of Psyllocarpus schwackei (Spermacoceae, Rubiaceae)

Phytotaxa ◽  
2017 ◽  
Vol 329 (2) ◽  
pp. 185 ◽  
Author(s):  
JOÃO A.M. CARMO ◽  
VIVIANE R. SCALON ◽  
MARIA F. CALIÓ ◽  
ANDRÉ O. SIMÕES
Keyword(s):  
Natural History ◽  
Taxonomic Revision ◽  
Original Description ◽  
Second World War ◽  
World War ◽  
Negative Number ◽  
Serra Do Cipó ◽  
Botanical Museum ◽  
Minas Gerais State ◽  
Second World

Psyllocarpus schwackei was described by Schumann (1898: 18), for which he cited a single collection, “in Brasiliae civitate Minas Geraes, locis arenosis in Serra do Cipo: Schwacke n, 8089, floret Aprili”. In a taxonomic revision of the genus, Kirkbride (1979) stated that the material studied by Schumann at the Botanical Museum in Berlin had been destroyed during the Second World War (Hiepko 1987), and that he was unable to locate any duplicates of this collection. He consulted a photograph of the specimen available in the Field Museum of Natural History type photograph series, negative number 896. Therefore, based upon the original description of the species, the photograph he analysed, and his experience at the type locality, the Serra do Cipó, Minas Gerais state, Kirkbride (1979) selected as neotype the collection “Serra do Cipó, elev. ca. 1125 m, Anderson et al. 36254 (neotype US; isoneotypes NY, UB)”.

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