Better sales and marketing methods for Mument

The main business of Mument, is to sell maternal and infant products. It is a one- stop store, where customers can find baby and children’s items from new-born until nearly 12 years old, Mument has a membership system, which means customer can deposit $500, then enjoy 15$1. getting 15% off when they reach 300 points.. The aims of the research were to improve sales and selling skills, and to develop better marketing methods. The questions for Mument are how to gain better sales and select effective marketing methods. For this research, I have selected quantitative methods, and use a questionnaire to get the primary research results. 18% of customers find a long wait for their order unacceptable, 30% of customers think Mument sales-people lack professional information, and find having only one sales-person in the store at weekends insufficient. 64% customers know about mother and baby product information through friends, and 58% customers know about Mument from friends. Most member’s babies’ birthdays are in April, May, September and October. I recommend that the owner analyse what kind of products customers require frequently, and order these before they ask, have a longer training time to allow sales-persons to acquire professional information, and have sales promotions at specific times

A SVD accelerated kernel-independent fast multipole method and its application to BEM

The kernel-independent fast multipole method (KIFMM) proposed in [1] is of almost linear complexity. In the original KIFMM the time-consuming M2L translations are accelerated by FFT. However, when more equivalent points are used to achieve higher accuracy, the efficiency of the FFT approach tends to be lower because more auxiliary volume grid points have to be added. In this paper, all the translations of the KIFMM are accelerated by using the singular value decomposition (SVD) based on the low-rank property of the translating matrices. The acceleration of M2L is realized by first transforming the associated translating matrices into more compact form, and then using low-rank approximations. By using the transform matrices for M2L, the orders of the translating matrices in upward and downward passes are also reduced. The improved KIFMM is then applied to accelerate BEM. The performance of the proposed algorithms are demonstrated by three examples. Numerical results show that, compared with the original KIFMM, the present method can reduce about 40% of the iterating time and 25% of the memory requirement.Comment: 19 pages, 4 figure

Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function

This paper defines the pressure for asymptotically subadditive potentials under a mistake function, including the measuretheoretical and the topological versions. Using the advanced techniques of ergodic theory and topological dynamics, we reveals a variational principle for the new defined topological pressure without any additional conditions on the potentials and the compact metric space.Comment: 13page