Explore the distinctions and similarities between turnstile streaming and linear sketching algorithms in this 26-minute conference talk presented at an Association for Computing Machinery (ACM) event. Delve into streaming algorithms, models, and their limitations, examining the reduction requirements and stream conditions that impact algorithmic performance. Investigate separations between turnstile algorithms and linear sketching, with a focus on triangle counting in various scenarios, including bounded-degree, constant-degree, and insertion-only cases. Learn about the extension of insertion-only algorithms and the concept of separation constructivity. Conclude with insights into further research directions in this field of computational theory.