Four and Five Figures of Kifilideen (Power of Base 11) and Antikifilideen (Antipower of Base 11) Tables as a Tool For Mathematics Computation

The four-figure of power of base numbers of tables needs to be created for easy synchronization with the existing Logarithm table of power of base 10 which is working on four figures. Although the five-figure of power base numbers of tables are more accurate because it is having less approximation in its establishment. The four-figure table is easy to compute doing utilization because it is having less digits to work with. This paper presents the four and five figures of Kifilideen (Power of base 11) and AntiKifilideen (Antipower of base 11) tables for the computation of mathematical problems. The four and five figures are both reliable to work with. However, there is a tradeoff between easy computation as related to the four-figure table and more accuracy as related to the five-figure table in their utilization.   &nbsp

DEVELOPMENT OF KIFILIDEEN TRINOMIAL THEOREM USING MATRIX APPROACH

Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. The study developed Kifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matrix were inaugurated. The kif row column matrix formula was also established for any kif expansion of trinomial expression of power n. The kif equation that ascertain the power combination of any term is given as CP = ?90t + 81a + 90m + n90 while the position of a term in group or column of kif matrix is derived using Rm = ? 90rn+90 + Fm. The kif row column matrix formula is stated as CPrc = ?90 r + 81 c + n09. The novel approach would enable all the terms of the expansion of trinomial expression of power of n to be generated with easy and allow accurate prediction of the trinomial coefficients and any term produce in the trinomial expansion of a very large power of n to be obtainable without any difficulty

Development of Kifilideen Trinomial Theorem Using Matrix Approach

Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. The study developed Kifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matrix were inaugurated. The kif row column matrix formula was also established for any kif expansion of trinomial expression of power n. The kif equation that ascertain the power combination of any term is given as CP = ?90t + 81a + 90m + n90 while the position of a term in group or column of kif matrix is derived using Rm = ? 90rn+90 + Fm. The kif row column matrix formula is stated as CPrc = ?90 r + 81 c + n09. The novel approach would enable all the terms of the expansion of trinomial expression of power of n to be generated with easy and allow accurate prediction of the trinomial coefficients and any term produce in the trinomial expansion of a very large power of n to be obtainable without any difficulty

Investigation of Vibration Technique To Control Physical Properties of Yam Tubers (Dioscorea rotundata Poir) uring Storage

Yam tubers lose weight during storage and prolonged storage can reduce tuber quality and quantity. This study investigated the application of vibration techniques for the control of the physical properties of yam tubers during storage. Measurements were conducted on the physical properties of the tubers: weight loss, shrinkage of the middle diameter, shrinkage of the length, top and bottom diameter, on 108 tubers treated and 32 tubers untreated (control). The factors of the experimental design were three levels of vibration frequencies, i.e. low (1 – 5 Hz), medium (60 – 100 Hz) and high (150 – 200 Hz), amplitudes of low (5 mm), medium (10 mm) and high (20 mm), and durations of low (5 minutes), medium (10 minutes) and high (15 minutes). Tuber weights were classified as small (0.1 – 2.9 kg) and large (3.0 – 5.0 kg). The tubers were stored for ten weeks after vibration, and their physical properties were measured every week during the storage period. Our study demonstrated that as the frequency, amplitude, and duration of vibration increase, the physical properties of yam tubers decrease significantly in both tuber classes. The study shows that mechanical vibration can slow down the changes in the physical properties of the yam tuber during storage