https://fanzhangg.github.io/Recent content on Fan ZhangHugo -- gohugo.ioen-usThu, 01 Sep 2022 19:41:01 +0530https://fanzhangg.github.io/portfolio/rush-rush-rush/Thu, 01 Sep 2022 19:41:01 +0530https://fanzhangg.github.io/portfolio/rush-rush-rush/<p>A 3D Platformer Game</p>https://fanzhangg.github.io/portfolio/entre/Mon, 01 Jun 2020 19:41:01 +0530https://fanzhangg.github.io/portfolio/entre/<p>A social platform for entrepreneurs</p>https://fanzhangg.github.io/blog/permutation-group/Tue, 25 Feb 2020 19:50:47 +0530https://fanzhangg.github.io/blog/permutation-group/Definition Permutation: a function from $A$ to $A$ that is one-to-one and onto Permutation group: a set of permutations of $A$ that forms a group under function composition Symmetric group: $S_n = $ permutations of ${1, 2, &hellip;, n}$, $|S_n| = n!$ Disjoint cycles commute multiply the following two permutations in cycle notation Write the permutation as a product of transpositions: $(12)(23)&hellip;(n-1n) = (12)(13)&hellip;(1n)$ Order of a permutation: The order of a permutation of a finite set is the least common multiple of the lengths of the cycleshttps://fanzhangg.github.io/blog/about-chord-master/Sat, 15 Feb 2020 21:50:47 +0530https://fanzhangg.github.io/blog/about-chord-master/What are you building? Chord Master is a web application that helps musicians find chords and create chord progressions. It helps you find chords that work together. Chords in the progression are represented by the lead sheet symbol. To build a chord, you can click the + button to add a chord, select the chord type and inversion in the dropdown menu, and choose the root note by clicking its key on the keyboard interface.https://fanzhangg.github.io/blog/big-world/Sat, 15 Feb 2020 21:50:47 +0530https://fanzhangg.github.io/blog/big-world/As most animation aims to create a fantasy world, the director Liu Jian uses animation in his second film Big World (Have a Nice Day) as an approach to represent the reality of the time and the world he is living. His choice of animation avoids the collaboration with other people and compromises with the commercial market and allows him the complete freedom of expressing his subjective view. In his film, the money is the definitive protagonist, who is the object of desire by all characters and the cause of the tragedy.https://fanzhangg.github.io/blog/chungking-express/Sat, 15 Feb 2020 21:50:47 +0530https://fanzhangg.github.io/blog/chungking-express/Chungking Express tells juxtaposing two stories of urban lives and modern loves. Both stories’ protagonists work as a cop; Both stories are about their struggle to cope with the loss of their ex-girlfriend respectively. In this approach, the director Wang Kai Wai uses the mutability of the individual identity to indicate the uncertainty of Hong Kong identity. Hong Kong’s social-politics is frustrating through the city’s transition from colonialism to post-colonialism; Its cultural identity is disguised with the popularity of US culture in Hong Kong.https://fanzhangg.github.io/blog/suzhou-river/Sat, 15 Feb 2020 21:50:47 +0530https://fanzhangg.github.io/blog/suzhou-river/In the film Suzhou River, the narrator, or the videographer asserts that his camera does not lie. For the director, he answers the question through the film, “Does the camera lie?” Using the story-within-a-story technique, he explores the interplay between fiction and reality. While he questions the film’s ability to mirror the reality, he underlines the role of a film, or a fictional work in general, as a median to communicate ideas and feelings.https://fanzhangg.github.io/blog/three-times/Sat, 15 Feb 2020 21:50:47 +0530https://fanzhangg.github.io/blog/three-times/Hou Hsia-Hsien’s film Three Times is composed of three love stories. The minimization of the plot and scene makes the film more authentic and leaves space for audience to speculate the unspoken message of the director. The three stories conveys Hou’s interpretation of three stages of Taiwan history, from the Japanese occupation ear, American psychological colonization period, to the urban modern time. The first story “Time of Love” represents the subtle relationship between Taiwan and the United States in the 1960s.https://fanzhangg.github.io/blog/algebraic-structure/Sat, 15 Feb 2020 19:50:47 +0530https://fanzhangg.github.io/blog/algebraic-structure/Group Group Group: A group is a non-empty set $G$ with binary operation satisfying: Identity: exists $e \in G$ such as $ea = ae = a$ Inverse: for each $a \in G$, exists a $b \in G$ such as $ab = ba = e$ Associative: for all $a, b, c \in G$, we have $a(bc) = (ab)c$ Properties: Uniqueness of the identity: There is only one identity element Cancellation in a group: If $ab=ac$ or $ba=ca$, $b=c$ $$ ab = cb \ abb^{-1} = cbb^{-1} \ a(bb^{-1}) = c(bb^{-1}) \ ae = ce \ a = c $$https://fanzhangg.github.io/blog/hello-world/Sat, 15 Feb 2020 19:50:47 +0530https://fanzhangg.github.io/blog/hello-world/<div class="highlight"><pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;"><code class="language-python" data-lang="python"><span style="display:flex;"><span>print(<span style="color:#e6db74">&#34;hello world&#34;</span>) </span></span></code></pre></div>https://fanzhangg.github.io/portfolio/chord-master/Tue, 01 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/chord-master/<p>An web application to build your chord progression</p>https://fanzhangg.github.io/portfolio/mask-detector/Tue, 01 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/mask-detector/<p>An interface to detect whether people wear a mask in video stream</p>https://fanzhangg.github.io/portfolio/drone-path-planning/Tue, 01 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/drone-path-planning/<p>A reinforcement environment for multiple drones to find coverage paths</p>https://fanzhangg.github.io/portfolio/age/Tue, 01 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/age/<p>A reinforcement environment for multiple drones to find coverage paths</p>https://fanzhangg.github.io/portfolio/japan-database/Mon, 03 Jun 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/japan-database/<p>A database for research on Japanese war crimes during WWII</p>https://fanzhangg.github.io/portfolio/l-system/Fri, 04 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/l-system/<p>An web app to visualize user-defined l-system</p>https://fanzhangg.github.io/portfolio/gomoku-ai/Wed, 02 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/gomoku-ai/<p>Play Gomoku game with AI</p>https://fanzhangg.github.io/portfolio/lvjingtang/Sat, 01 Feb 2020 19:41:01 +0530https://fanzhangg.github.io/portfolio/lvjingtang/<p>The website of Lvjingtang Hotel</p>https://fanzhangg.github.io/portfolio/alqvimia/Wed, 30 Jan 2019 19:41:01 +0530https://fanzhangg.github.io/portfolio/alqvimia/<p>The Tmall online store of Alqvimia, a cosmetic company</p>