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김대열,이상한 대한법의학회 2019 대한법의학회지 Vol.43 No.3
Most cases of ligature strangulation are generally homicides, and deaths due to suicide or accident are rare. We present a very rare case of a man using a recliner sofa as an aid for strangulation. The deceased, a man in his 50s, cut his wrists using an industrial cutter several times and placed his hands into a bathtub containing warm water, which, however, did not lead to death. His suicide attempt through self-ligature strangulation using a recliner in the living room finally resulted in his death. After considering the results of the scene investigation, testimony of the witnesses, and the autopsy findings, the cause of death was determined to be self-ligature strangulation, and wrist incisions were found to be a contributory cause of death.
CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS
김대열,Abdelmejid Bayad,Nazli Yildiz Ikikardes 대한수학회 2015 대한수학회지 Vol.52 No.3
In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli and Euler polynomials. Second, as ap- plications, we show five identities concerning the third and fourth-order convolution sums of divisor functions expressed by their divisor functions and linear combination of Bernoulli or Euler polynomials.
Convolution sums and their relations to Eisenstein series
김대열,김애란,Ayyadurai Sankaranarayanan 대한수학회 2013 대한수학회보 Vol.50 No.4
In this paper, we consider several convolution sums, namely, Ai(m; n; N) (i = 1; 2; 3; 4), Bj (m; n;N) (j = 1; 2; 3), and Ck(m; n;N) (k = 1; 2; 3; : : :, 12), and establish certain identities involving their finite products. Then we extend these types of product convolution identities to products involving Faulhaber sums. As an application, an identity in- volving the Weierstrass -function, its derivative and certain linear com- bination of Eisenstein series is established.
On the infinite products derived from theta series II
김대열,구자경 대한수학회 2008 대한수학회지 Vol.45 No.5
Let k be an imaginary quadratic field, ㆍ the complex upper half plane, and let τ ∈ㆍ ∩ k, q = eπiτ . For n, t ∈ Z+ with 1 ≤ t ≤ n − 1, set n = ㆍ·2l (ㆍ = 2, 3, 5, 7, 9, 13, 15) with l ≥ 0 integer. Then we show that [수식](1 − qnm−t)(1 − qnm−(n−t)) are algebraic numbers Let k be an imaginary quadratic field, ㆍ the complex upper half plane, and let τ ∈ㆍ ∩ k, q = eπiτ . For n, t ∈ Z+ with 1 ≤ t ≤ n − 1, set n = ㆍ·2l (ㆍ = 2, 3, 5, 7, 9, 13, 15) with l ≥ 0 integer. Then we show that [수식](1 − qnm−t)(1 − qnm−(n−t)) are algebraic numbers
On the infinite products derived from theta series I
김대열,구자경 대한수학회 2007 대한수학회지 Vol.44 No.1
Let k be an imaginary quadratic eld, h the complex uperhalf plane, and let τ∈h ∩k,q = eπiτ. In this article, we obtain algebraicnumbers from the 130 identities of Rogers-Ramanujan continued fractionsinvestigated in [28] and [29] by using Berndt’s idea ([3]). Using this, weget special transcendental numbers. For example,q1/ 81 +q1+ q +q21+ q2 + ·([1]) is transcendental.
2008년부터 2018년까지 국내에서 발생한 감전 자살사례에 대한 고찰
김대열,이상한,김동자 대한법의학회 2019 대한법의학회지 Vol.43 No.4
The authors investigated the cases of electrocution suicides in South Korea from 2008 to 2018. Out of 151,419 suicides during this 11-year period, suicide by electrocution was extremely rare. Only nine victims were recorded in eight cases, with one case involving a married couple. The majority of the victims were men (89%), and only one case involved a woman (11%). The mean age of the victims was 55 years, and ranged from 38 to 74 years. In all cases, the suicides occurred in the home, and low-voltage electricity was used. Two of the nine victims (22%) had an occupation related with electrical knowledge. Mental illness, such as depression and schizophrenia, was found in two cases (22%). An autopsy was not performed in all cases.
HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS
김대열,김민수,김태균 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.2
The main purpose of this paper is to present explicit formulas for the q-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on Zp. By using these formulas, we give a relation between the multiple twisted Hurwitz q-zeta function ³(k)q;¸(s; x) and the multiple twisted two-variable q-l-function l(k)q;¸(s; x; Â): We also derive the values of ³(k)q;¸(s; x) and l(k)q;¸(s; x; Â) at s = 0:-1,....
CONVOLUTION SUM |sum_{m<n=8}|sigma_{1}(2m)|sigma_{1}( n - 8m)
김대열,김애란,박화신 호남수학회 2012 호남수학학술지 Vol.34 No.1
In this paper, we present the convolution sum P m<n=8 1(2m)1(n 8m) evaluated for all n 2 N.
Unusual Suicide Cases of Asphyxiation by Ligature within the Vehicle
김대열,이상한 대한법의학회 2020 대한법의학회지 Vol.44 No.1
One of the most common methods of suicide is hanging, and suicide by ligature strangulation is quite rare. Vehicles have a confined space, making them an unusual place for committing suicide by hanging or ligature strangulation, because they are more typically the location of suicide by carbon monoxide intoxication by briquette or drug intoxication. Here, we present three cases of unusual suicide by ligature strangulation, discuss the mechanism of asphyxia in each case, and review the literature. In case 1, the victim used a backpack to perform reverse hanging by wrapping the shoulder strap of the backpack around his neck and then tossing the backpack behind the backrest of the driver’s seat. In case 2, the victim did not use the internal structures of the vehicle, but pulled down on a ligature wrapped around both his knees and neck. In case 3, the victim hanged himself using a package line fixed to the roof handle grab of the back passenger seat.