This paper presents an algorithm to display squares of 1st N natural numbers without using multiplication (* operator). Instead, the same work can be done using addition (+ operator). The results can also be used to compute the sum of those squares. If we compare the normal method of ...
powers of natural numbers; sum; general algorithm; geometric interpretations; 机译:自然数幂求和一般算法几何解释; 相似文献 外文文献 中文文献 专利 1. A simple tool for engineers for generating formulae for the sum of powers of natural numbers [J] . R. Venkatachalam, Umesh Chandra Sharma ...
The whale optimization algorithm has received much attention since its introduction due to its outstanding performance. However, like other algorithms, the whale optimization algorithm still suffers from some classical problems. To address the issues of
Considering these two behaviors, there are five factors in updating the individuals' positions in the swarm, each of which could be mathematically modeled. Separation is calculated as follows [49]: $$S_i^t = - \mathop \sum \limits_{j = 1}^N X_i^t - X_j^t$$ (1) where \(X_...
This paper introduces a new swarm intelligence strategy, anti-coronavirus optimization (ACVO) algorithm. This algorithm is a multi-agent strategy, in which
The overall crowding-distance value is calculated as the sum of individual distance values corresponding to each objective. Note that each objective function is normalized before calculating the crowding distance. Sign in to download full-size image FIGURE 5.14. Crowding-distance calculation. Points ...
6.8B is created, with counts projected from the original tree corresponding to the set of instances that are conditional on the presence of temperature=mild. This is done by propagating the counts from the temperature=mild nodes up the tree, each node receiving the sum of its children’s ...
In order to solve the inverse kinematics (IK) of complex manipulators efficiently, a hybrid equilibrium optimizer slime mould algorithm (EOSMA) is proposed. Firstly, the concentration update operator of the equilibrium optimizer is used to guide the anis
Natural systems are often used as models for the optimization techniques that have been developed. Of these methods, SMA was introduced by Li et al. [15]. From the acronym's name, one may probably guess the phrase that SMA uses a mathematical model of the foraging behavior of a eukaryotic...
The Euclidean distance cost value is the sum of the Euclidean distance of the path from this point to the root node. Fig. 4 RRT* algorithm is used to reselect the mind map of the parent node Full size image Fig. 5 RRT* algorithm for the rewiring mind map operation Full size image ...