18,550 research outputs found
General Helices of AW(k)-Type in the Lie Group
No full textWe study curves of AW(k)-type in the Lie group G with a bi-invariant metric. Also, we characterize general helices in terms of AW(k)-type curve in the Lie group G
Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space
No full textWe consider curves of AW(k)-type (1≤k≤3) in the equiform geometry of the Galilean space G3. We give curvature conditions of curves of AW(k)-type. Furthermore, we investigate Bertrand curves in the equiform
geometry of G3. We have shown that Bertrand curve in the equiform geometry of G3 is a circular helix. Besides, considering AW(k)-type curves, we show that there are Bertrand curves of weak AW(2)-type and AW(3)-type. But, there are no such Bertrand curves of weak AW(3)-type and AW(2)-type
AW(k)-type curves according to the Bishop Frame
No full textParalel çatı ya da alternatif çatı olarak da adlandırılan Bishop çatısı paralel vektör alanları yardımıyla L.R. Bishop tarafından 1975 yılında tanımlanmıştır. Son zamanlarda, bu çatı ile ilgili birçok araştırma makalesi Öklid uzayında ele alınmıştır. AW(k)-tipinden alt manifoldlar kavramı Arslan ve West tarafından verilmiştir. Bundan itibaren, bu tipteki alt manifoldlar ile ilgili birçok çalışma çeşitli yazarlar tarafından yapılmıştır. Bu çalışmada, 3 IE 3-boyutlu Öklid uzayında AW(k)-tipinden eğriler Bishop çatısına göre ele alınmıştır. 3 IE 3-boyutlu Öklid uzayında 1 k, 2 k Bishop eğrilikleri arasındaki bağıntılar verilmiştir.Bishop frame, also called parallel frame of the curves or alternative frame, was given first by L.R. Bishop in 1975 via the parallel vector fields. Afterwards, some research articles related to this type of frame have been studied in the Euclidean space. AW(k)-type curves and submanifolds were given first by Arslan and West. Thereafter, so many studies have been handled related to these type of manifolds by several authors. In this manuscript, we deal with AW(k)-type curves with Bishop frame in Euclidean space 3 IE. We set the relations between the Bishop curvatures 1 k, 2 k of a curve in 3 IE
On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3
No full textIn this paper, we consider that the curvature conditions of Aw(k)-type ()1 3k ≤ ≤ quaternionic curves in Euclidean space E3 and investigates quaternionic Mannheim curves:I Qα → with k 0 ≠ and 0r ≠ . Besides, we show that quaternionic Mannheim curves are Aw(2)-type and Aw (3)-type quaternionic curves in E3. But, there is no such a Mannheim curve of Aw(1)-type
On the Equiform Differential Geometry of AW(k)-Type Curves in Pseudo-Galilean 3-Space
No full textThe aim of this paper is to study AW(k)-type (1 ≤ k ≤ 3) curves according to the equiform differential geometry of the pseudo-Galilean space G1 3. We give some geometric properties of AW(k) and weak AW(k)-type curves. Moreover, we give some relations between the equiform curvatures of these curves. Finally, examples of some special curves are given and plotted to support our main results
Curves of generalized aw ( k )-type in euclidean spaces
No full textIn this study, we consider curves of generalized AW(k)-type of Euclidean n-space. We give curvature conditions of these kind of curves
AW(k)-type Salkowski Curves in Euclidean 3-Space IE^3
No full textWe deal with AW(k)-type Salkowski(anti-Salkowski) curves with constant in the Euclidean3-space. We show that there is no AW(1)-type Salkowski curve and AW(1)-typeanti-Salkowski curve in . Also, we handle weak AW(2)-type and weak AW(3)-typeSalkowski (anti-Salkowski) curves. Also, we show that there is no weak AW(2)-typeSalkowski curve in
AW(k)-TYPE CURVES ACCORDING TO PARALLEL TRANSPORT FRAME IN EUCLIDEAN SPACE E4
No full textIn this paper, we study AW(k)-type (k = 1, 2, ..., 7) curves according to theparallel transport frame in Euclidean space E4. We give the classification of these types curves with the parallel transport curvatures (Bishop curvatures). Finally, we consider the curvatures k1, k2, k3 as constants respectively and give the relations between the parallel transport curvatures of AW(k)-type (k = 1, 2, ..., 7) curves.
Sets on which measurable functions are determined by their range
No full textWe study sets on which measurable real-valued functions on a measurable space with negligibles are determined by their range.PT: J; CR: BELLA A, 1990, B UNIONE MAT ITAL, V7, P121 BERARDUCCI A, 1993, REND I MAT U TRIESTE, V25, P23 BUCHI JR, 1954, FUND MATH, V41, P97 BURKE MR, UNPUB SETS RANGE UNI CIESIELSKI K, MODEL NO MAGIC SET CIESIELSKI K, 1994, MEM AM MATH SOC, V107 CORAZZA P, 1989, T AM MATH SOC, V316, P115 DIAMOND HG, 1981, MATH Z, V176, P383 DUSHNIK B, 1941, AM J MATH, V63, P600 ENGELKING R, 1989, SIGMA SER PURE MATH, V6 FREMLIN DH, 1987, DISSERTATIONES MATH, V260 JECH T, 1978, SET THEORY JUST W, 1992, T AM MATH SOC, V329, P325 KUNEN K, 1983, SET THEORY KUNEN K, 1984, HDB SET THEORETIC TO, P887 MILLER A, 1981, T AM MATH SOC, V266, P93 MILLER AW, 1983, J SYMBOLIC LOGIC, V48, P575 MILLER AW, 1984, HDB SET THEORETIC TO, P201 OXTOBY JC, 1980, GRADUATE TEXTS MATH ROYDEN HL, 1988, REAL ANAL RUDIN W, 1987, REAL COMPLEX ANAL SHELAH S, 1980, J SYMBOLIC LOGIC, V45, P563 TALL FD, 1976, PAC J MATH, V62, P275 TODORCEVIC S, 1989, CONT MATH, V84; NR: 24; TC: 6; J9: CAN J MATH; PG: 28; GA: ZC631Source type: Electronic(1
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Criticality safety evaluation of disposing of K Basin sludge in double-shell tank AW-105
No full textA criticality safety evaluation is made of the disposal of K Basin sludge in double-shell tank (DST) AW-105 located in the 200 east area of Hanford Site. The technical basis is provided for limits and controls to be used in the development of a criticality prevention specification (CPS). A model of K Basin sludge is developed to account for fuel burnup. The iron/uranium mass ration required to ensure an acceptable magrin of subcriticality is determined
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