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Related Concept Videos

Numerical Calculations01:24

Numerical Calculations

In engineering applications, the representation of the numerical value is critical. Presenting or reporting the answer is one of the essential parts of engineering practices. Numerical calculations are performed using handheld calculators or computers since numerically accurate answers are always preferred.
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
Orders of Magnitude01:15

Orders of Magnitude

The order of magnitude of a number is the power of 10 that most closely approximates it. Thus, the order of magnitude estimates the scale (or size) of its value. To find the order of magnitude of a number, take the base-10 logarithm of the number and round it to the nearest integer. Then the order of magnitude of the number is simply the resulting power of 10.
The order of magnitude is simply a way of rounding numbers consistently to the nearest power of 10. This makes doing rough mental math...
Significant Figures in Calculations00:58

Significant Figures in Calculations

Uncertainty in measurements can be avoided by reporting the results of a calculation with the correct number of significant figures. This can be determined by the following rules for rounding numbers:
Applications of Logarithms01:28

Applications of Logarithms

Logarithmic functions are powerful tools for simplifying the mathematical representation of phenomena involving exponential changes. Their ability to convert multiplicative relationships into additive ones is especially valuable in various scientific and engineering contexts. One notable application of logarithms is measuring sound intensity, specifically through the decibel (dB) scale used in acoustics.Sound intensity levels vary over an extensive range, from the faintest audible whisper to...
Sound Intensity00:58

Sound Intensity

The loudness of a sound source is related to how energetically the source is vibrating, consequently making the molecules of the propagation medium vibrate. To measure the loudness of a source, the physical quantity of interest is the intensity. This is defined as the energy emitted per unit of time per unit of area perpendicular to the sound wave's propagation direction. Since the total energy is greater if the source vibrates for a longer duration and over a larger area, dividing the emitted...
Rules for Significant Figures01:44

Rules for Significant Figures

In any measurement, the precision of the measuring tool is an essential factor. An ordinary ruler, for example, can measure length to the closest millimeter; a caliper, on the other hand, can measure length to the nearest 0.01 mm. As a result, the caliper is a more precise measurement tool because it can measure extremely minute changes in length. The measurements will be more accurate if the measuring tool is more precise.
It should be emphasized that when we represent measured values, the...

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Manipulating number generation: loud + long = large?

Alexander Heinemann1, Roland Pfister, Markus Janczyk

  • 1Julius Maximilians University of Würzburg, Department of Psychology III, Röntgenring 11, 97070 Würzburg, Germany.

Consciousness and Cognition
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Summary
This summary is machine-generated.

Simple free choices are influenced by auditory cues. Loud tones bias number generation, while duration effects depend on motor context, refining magnitude processing theories.

Keywords:
ATOMDecisionsFree choicesMagnitude systemNumber processingRandom number generation

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Area of Science:

  • Cognitive psychology
  • Auditory perception
  • Decision-making

Background:

  • Humans perceive daily choices as free.
  • Auditory information can subtly influence these choices.

Purpose of the Study:

  • To investigate how auditory intensity (volume and duration) biases random number generation.
  • To test the influence of auditory cues on free choice.

Main Methods:

  • Two experiments involving participants categorizing tones by volume and duration.
  • On some trials, participants randomly generated numbers.
  • Auditory tone intensity was manipulated.

Main Results:

  • Loud tones biased participants to generate larger numbers when cued for volume.
  • Tone duration influenced number generation only when spatial and motor contexts aligned.
  • Auditory magnitude processing was shown to be context-dependent.

Conclusions:

  • Auditory information significantly biases seemingly free choices.
  • The influence of auditory magnitude dimensions is not uniform and depends on contextual factors.
  • Findings extend the ATOM (A Theory of Magnitude) framework by detailing auditory magnitude processing.