shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 25Let S be the set of all vectors v such that v = < x , y, z > with 3x + 4y = 1 and z = 0. Then, x = and…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 23Let S be the set of all vectors v = in V3 with either x = 0 or y = 0. Assume S is a real linear space. Then, S…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 14Let S be the set of all functions f such that Assume that S is a real linear space. Then, by the addition axioms of…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 11Let S be the set of all functions ƒ such that for all x in their domain, the function is increasing. In other words…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 5Let S be the set of all functions f such that f (1) = 1 + f (0). Assume that S is a real linear space. Then…shinday (30)in #apostol-calculus • 4 years ago[Apostol's Calculus] Exercises 1.5Notice: These proofs are my own. I am not a professional mathematician. If you notice errors or inconsistencies in…shinday (30)in #mathematics • 4 years agosteemCreated with Sketch.Tom Apostol's "Calculus" vol. 2; My Solutions to ExercisesPlease note this is a work in progress. I will update this page (with links) as I gather more solutions. This is an…shinday (30)in #philosophy • 7 years agoThe Presocratics Part 1 — "Introduction"This is a part of my series on the Presocratics, the Greek philosophers who flourished before and during the life of…shinday (30)in #writing • 7 years agoThe Feynman Technique (Studying Not More, But Stronger)As is the case with all skills, learning is something that takes practice and gradual improvement to do par…shinday (30)in #philosophy • 7 years agoPhilosophy Series on the Pre-Socratics!Hello! I have been reading a lot on the history of Greek philosophy. I have become very interested in this topic due…shinday (30)in #philosophy • 7 years agoOn The Multiverse: The "Nackiverse" Thought ExperimentI feel like everything is conscious. When I say everything, it is crucial to understand what that entails. To "exist"…