In our previous exploration of inner product spaces, we defined the tools for measuring “length” and “angle (orthogonality)” in abstract vector spaces. Now, it is time to put those tools to work to solve concrete problems. I will introduce the…
I will start by showing that complex linear “machines” (functions) can essentially be replaced by a single, unique vector. Then, we will learn how to “flip” operators from one side of an inner product to the other, and finally, we…
At its core, the accounting equation forms the foundation of all business accounting. In practice, accountants record every financial activity according to this principle and then summarize these activities in four essential financial reports: the Balance Sheet, Income Statement, Statement…
In our previous post, we explored the accounting equation and the four main financial statements, including their core parts and how they relate. Today, we’ll examine a real company’s financial statements—Microsoft’s—to see these relationships in action. Where to Find the…
Building on our previous exploration of the Balance Sheet, this section will now focus on the Statement of Cash Flows and its connection to the diagram above. In essence, the Statement of Cash Flows explains the change in the Cash…
To understand a company’s financial story, look at the Statement of Equity. While most people focus on the Income Statement and Balance Sheet, this statement bridges the two, showing you how a company’s ownership structure has changed over time. At…
An income statement is a powerful tool for measuring a company’s financial health. While the balance sheet is like a photo of a company at a single moment in time, the income statement is more like a video—it shows how…
Creating your own simple financial statements is one of the most effective methods for grasping the fundamentals of financial accounting. This method builds on a few key principles: Example: The Coffee Stand, Inc. (CSI) For a simple example to get…
In this post, we’re going to explore accounting adjustments. These accounting adjustments affect four main account types: Now, let’s see how these concepts apply to our example. Part 1: Initial Transactions (March) Imagine a small company, “Sunny Solar,” that sells…
Depreciation in accounting is the process of allocating a tangible asset’s cost over its useful life. This isn’t about the asset’s market value; instead, it reflects how a business uses up the asset and the wear and tear it experiences…