In an unpublished footnote 20 toward a 1966 revision of [1947] Gödel was to acknowledge98“extremely strong axioms of infinity of an entirely new kind”, generalizations of properties of ω“supported by strong arguments from analogy”. This heuristic of generalization ties in with Cantor's ...
In spite of the many open questions thus raised, this sequence serves as an example of a "natural" pseudo-random sequence which unexpectedly fails to obey long-range randomness for mysterious reasons. Let's draw a bold analogy with a fundamental open question: The Riemann Hypothesis (RH) can...
Well, then you have email and instant messaging. Email addresses and IM profiles are connected to accounts, and anyone with the proper login credentials can access them, from just about anywhere with an internet connection. In this analogy, physical mail is synonymous with landlines. Text messagi...
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It is similar to the analogy of the game Scrabble, where a choice of a single letter on the grid of the possibility space of the game can encode information in more than one word. So the choice of the adenine molecule at that coordinate achieves a great deal of e±ciency by (a) ...
Knowledge of rational number operations was measured using six multiple choice items adapted from Van Hoof et al. (2015a). Items tested students’ knowledge of the effects of arithmetic operations with fractions and decimals using questions, including the following: “Is the outcome of 40 ×...
I guess, we got World Series going on. So maybe use a baseball analogy. Is there more self-help into 2025? Or is 2025 and kind of the future gross margin really just gonna be dependent on industry volumes and Sleep Number's volume?
Our favorite analogy to further understand this point is the problem the maintenance crew had with the Lincoln Memorial Monument in Washington, DC. There was an ongoing problem with bird droppings collecting on the walls of the monument. After months of power washing, engineers decided to investiga...
it's unlikely that he is planning to kill his patient. It is also doubtful that when a cop pulls someone over that he plans to kill him. It's a bad analogy because patients enter into operating rooms naked, sedated, and unarmed. Police often deal with hostile, belligerent, and armed su...
Take your algebra, geometry, trigonometry, calculus, and statistics problems to the online problem solver. Understand the process with its step-by-step solutions. The site has a handy worksheet creator for teachers which can help them quickly set up assignments. Mathway is also available as aniOS...