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Item Practical application of linear algebra in animation using blender software(UMT Lahore, 2021) Bacha KhanBlender software is one the best innovation and creations of the 21st century, even a daydreaming project which cannot be pinned down easily, is be made through this blender software by employing its different features. It is endowed with the most attractive features including 3D visualizations, 3D animation, VFX shorts, Video Editing, Modelling, Rigging, compositing, texturing, rendering and simulations. In this project, the author employed the blender software for the purpose of physically constructing an animated car over a bridge by giving background and the surroundings were well decorated through different features of the blend, which was the dire need of my project and also employing blender kit through the designing phase. This is what gives us the aspiration to animate the car, decorate the bridge, and design street lamps. As a result, the author finally animated the car over the bridge, which took around eight seconds to complete its departure from the starting point. This project is an attempt to explain the facets of an animated car step by step in the following chapters.Item Wiener index [WI] of different types of fuzzy graphs(UMT Lahore, 2021) Muhammad Farhan AkhtarIn actual world connectivity variables have significant part in exploration of the networks. Wiener index is one system for certain applications in network hypothesis and science. This thesis contains WI of many Fuzzy Graph (FG) e.g fuzzy path & cycle are discussed. For the productive procedure of WI of a fuzzy path graph and fuzzy cycle graph theorem is proposed. In this article different theorems are introduced to quickly find wiener index of different type of fuzzy graph with example. Few other results are defined related fuzzy graphs. These all usable are for the most part utilized in software engineering, calculation, variable based math, activities research and so on.