A post shared by 吴老师 (@tomcircle88) Gemini: Gemini AI (Google): Finding x Understanding the Problem We are given: y: An integer x: Defined as the sum of powers of y from 0 to 7: x = 1 + y + y² + y³ + y⁴ + y⁵ + y⁶ + y⁷ We need to find the value...
I don't have a clue. I tend to think in practical terms. In practical terms all things are finite. Working in my wood shop I need a circle. How close do I need to know the radius to its diameter? In that case probably no more than 3.1. While in a machine shop for the same ...
Variables: Who put letters in the math? Variables are placeholders, usually a letter or a word, for something you don't know yet. Often they the "Inputs and outputs" of a formula, allowing you to state an equation that describes something general, even if you don't know the specific ...
In geometry, you will come across postulates and theorems needed for geometric proofs. A theorem is a statement that can be proved to be true. A postulate is a statement that is ASSUMED to be true WITHOUT proof. All this becomes part of your new geometry vacabulary. I will go into detail...
The proof generalized: if M is a well-ordered set, and M′ is the set of all ordinals of cardinality M̿, then is the next cardinal greater than M̿. Using this instead of the power set construction, we have the alephs: ℵ0 < ℵ1 < ℵ2 etc., with no cardinals in ...
Below are five clues, consisting of the letters in "PHOENIX" in various orders. They were extracted from five words or phrases without changing their order in that word or phrase. (For example, EOHINXP would be a clue for murdEr On tHe orIeNt eXPress.): HIENPOX, HONPEXI (2 words), ...
Where is the missing $10 (= $500 + $500 – $990) ? Puzzle tomcircleMath GamesLeave a comment SOLVE PUZZLE…… I am a 5 letter word. I am normally below u If u remove my 1st letter u’ll find me above u If u remove my 1st & 2nd letters, u cant see me ...
One night over ice cream, we found ourselves talking about repeating decimals. After we filled a napkin with the proof that0.999… = 1, Jeff had a brainstorm, and wrote the following: “What the heck is that?” I asked. “It’s a number where the nines go on forever,” he said....