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date: 2025-03-30
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tags: [cs, life]
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author: R
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location: New York
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---
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This is (going to be) the first post, the first thing I'm writing in Markdown. I thought about doing the whole thing in $\LaTeX$, but it would be weird, so yeah... I came to this idea of a blog website only after going down a rabbit hole on reddit, and I start wondering "it would actually be cool if I have some type of project that I work on", so here I am. I felt like I'm only going to learn the practical stuff that I'm actually going to use while doing "side quests" like this that I'm interested in.
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@@ -3,26 +3,27 @@ title: Random stuff in linear algebra
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date: 2025-04-02
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tags: [math]
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author: R
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location: New York
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---
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While reading the Wikipedia article about metric spaces just now, it was talking about the motivation like "We can measure the distance between two such points by the length of the shortest path along the surface, "as the COW flies". Then I was like there's something wrong about this, and its 'As the crow flies'. This was kind of random but yeah, I want to learn what is a measure space suddenly because I encountered this thing called a bilinear form.
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These are not really on the topic, what I want to say today is about the essential part of a linear transformation, and I figured out the proof and purpose just after looking over it in terms of domains and codomains. What I understand here is that
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$$
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Ax = A( \proj_{ \ran A^*} x + ( x - \proj_{ \ran A^* } x ) ) = A \proj_{ \ran A^* } x
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A x = A({\proj}_{\ran A^{*}} x + ( x - {\proj}_{ \ran A^{*}} x ) ) = A {\proj}_{ \ran A^{*}} x
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$$
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just like doing an orthogonal decomposition on $x$, that
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$$
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x - \proj_{ \ran A^*} x \in ( \ran A^* )^\perp = \ker A
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x - {\proj}_{ \ran A^{*}} x \in ( \ran A^{*})^{\perp} = \ker A
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$$
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so that
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$$
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A(x - \proj_{ \ran A^*} x ) = 0
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A(x - \proj_{ \ran A^{*}} x ) = 0
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$$
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thus it restricts the vectors in the transformation by removing the ones in $\ker A$, and changing $A$ to $\tilde{A}$ just further restricts the domain because now there's only input from $\ran A^*$.
title: Seminar - Insights from the Financial Industry
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date: 2025-04-30
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tags: [notes, finance]
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author: R
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location: New York
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---
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Recently, I attended a seminar featuring a speaker from a leading financial company (I was just a little curious about it and it wasn't planned); But it's quite interesting, so I tagged along and took some notes. Just to be careful about this, I want to disclose the detailed information so it's doesn't get me into anything.
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##### Investment in AI
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The speaker highlighted how companies are leveraging AI to improve efficiency and gain deeper customer insights. While machine learning models have their limitations, the potential benefits are immense. The focus, they explained, is on assessing tangible outcomes—what AI can actually deliver in terms of value.
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##### Adaptability and Resilience
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Adaptability and resilience are essential in today’s economic climate. The speaker shared several strategies that companies use to maintain growth and customer loyalty, including:
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-**Personalized loyalty programs** to keep customers engaged.
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-**Leveraging technology** and practicing disciplined expense management.
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-**Evolving products** to stay relevant during crises.
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-**Implementing relief programs** to address macroeconomic uncertainties.
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The overarching message was clear: a long-term vision that balances the needs of colleagues, shareholders, and customers is key to navigating uncertainty.
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##### Competition in the Industry
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The speaker discussed how companies can stay ahead by:
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- Continuously enhancing core products and expanding their offerings.
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- Maintaining profitability without compromising customer satisfaction.
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- Developing a long-term strategy that anticipates industry trends over the next decade.
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##### Understanding Consumer Behavior
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The speaker shared how digital footprints and spending patterns have evolved, particularly with examples like the rise of online and delivery services during COVID.
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##### Advertising on Social Media
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The importance of delivering messages that resonate with the audience and align with the brand's promise. Effective advertising ensures that consumers understand what the brand stands form, to my surprise, the core stuff haven't change much compared to the traditional ones.
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##### Global Brand Perception
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As companies expand internationally, maintaining a consistent brand perception is crucial. The speaker shared how their company has achieved rapid global growth while ensuring that their brand remains trusted and reliable across all markets. It’s a delicate balance, but one that’s essential for long-term success.
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##### Leadership and Decision-Making
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Leadership was another key topic of discussion. The speaker shared valuable advice on:
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- The importance of continuous learning and development.
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- Building a strong support system of peers, mentors, and sponsors.
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- Investing in networks and seeking help when needed.
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They also emphasized the value of empathy and understanding in leadership, as well as the need to prioritize personal growth to better serve others.
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##### Differentiation and Career Growth
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The speaker reflected on their career journey, (as a tip they would give to their younger self) sharing lessons learned along the way:
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- Take risks and embrace mistakes as opportunities for growth.
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- Prioritize self-improvement to become a better version of yourself.
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- Focus on building skills and experiences that set you apart.
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I felt this part is the most helpful for me.
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##### Internship Programs and Real-World Problem Solving
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Internship programs were highlighted as a valuable way to gain hands-on experience. Working on real-world problems provides interns with meaningful learning opportunities.
I went to a speaker event where the speaker was discussing about the purpose/development, and many stuff about opensource that I didn't know before.
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## Three challenges of Opensource
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Three things that couldn't make the speaker go to sleep at night (in opensource, of course):
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1.**Over-differentiation**
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Projects focusing on differentiation from each other instead of adding more functionality.
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2.**Proliferation**
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Sheer number. Maybe leading to a duplicated effort working on the same thing.
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3.**Fragmentation**
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Espeacially with internal/public, upstream/downstream branches in terms of workforce. Internal forks diverge too much from the public version.
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## Opensource in Public Service
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Governments and organizations are adopting open source mainly for cost-effectiveness. Also there's a **UN Open Source Week**, which takes place in June and includes a hackathon, I might look into that later but it sounds fun.
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## How Projects Evolve
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How projects start with a specific purpose but evolves into something much larger:
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-**Community Building**
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-**Corporate Involvement**
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Companies utilize open source for practical reasons, such as reducing development costs, accelerating innovation, and avoiding vendor lock-in.
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-**Balancing Purpose and Practicality**
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A balance between serving the public good and addressing practical needs.
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---
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## The Purpose of Opensource
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It's pretty surprising to hear that it isn't a "aloha" thing as he said, but think deeper down it somewhat makes sense, there could be altruism, but corporations must have some practical reasons behind that:
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-**Corporations**: Share the burden of development, attract talent, and build ecosystems around their products.
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