Magnitude estimation of apparent sums and differences
نویسندگان
چکیده
منابع مشابه
[Apparent size and judgment-order effect: a magnitude estimation study of the Delboeuf illusion].
Apparent sizes of circles in the Delboeuf figure were measured by magnitude estimation without modulus. The purpose was to investigate the Delboeuf illusion and the effect of judgment order on perceived size. Contrary to the conventional Delboeuf illusion, overestimation effects appeared for outer circles at small diameter differences. The illusory magnitude depended on the diameter ratio and d...
متن کاملCombinatorial sums and finite differences
We present a new approach to evaluating combinatorial sums by using finite differences. Let {ak}k=0 and {bk}k=0 be sequences with the property that ∆bk = ak for k ≥ 0. Let gn = ∑n k=0 ( n k ) ak, and let hn = ∑n k=0 ( n k ) bk. We derive expressions for gn in terms of hn and for hn in terms of gn. We then extend our approach to handle binomial sums of the form ∑n k=0 ( n k ) (−1)ak, ∑ k ( n 2k ...
متن کاملSensory integration of apparent motion speed and vibration magnitude
Tactile apparent motion can display directional information in an intuitive way. It can for example be used to give directions to visually impaired individuals, or for waypoint navigation while cycling on busy streets, when vision or audition should not be loaded further. However, although humans can detect very short tactile patterns, discriminating between similar motion speeds has been shown...
متن کاملSums and Differences of Correlated Random Sets
Many fundamental questions in additive number theory (such as Goldbach’s conjecture, Fermat’s last theorem, and the Twin Primes conjecture) can be expressed in the language of sum and difference sets. As a typical pair of elements contributes one sum and two differences, we expect that |A−A| > |A+A| for a finite set A. However, in 2006 Martin and O’Bryant showed that a positive proportion of su...
متن کاملOn Differences and Sums of Integers , I
imply the solvability of the equation a s-av = b' ; the notion of sum intersector set is defined similarly. The authors prove two general theorems saying that if a set {b, , b 2 BLOCKINbi} is well distributed simultaneously among and within all residue classes of small moduli then it must be both difference and sum intersector set. They apply these theorems to investigate the solvability of the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Perception & Psychophysics
سال: 1971
ISSN: 0031-5117,1532-5962
DOI: 10.3758/bf03208697