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For which values of $x$ the matrix is invertible?

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#linear-algebra #matrices #discrete-mathematics #linear-transformations
372
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Regular Grammar

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#discrete-mathematics #computer-science #regular-language #context-free-grammar
129
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Probability of specific card being in the deck vs your players hand?

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#probability #combinatorics #discrete-mathematics #conditional-probability
13.6k
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Show that p ∧ q → r and p ∨ q → r are not logically equivalent.

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#discrete-mathematics #logic
95
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Compute the Cardinality of the set $\{z \in \Bbb{Z}|z>-10, z^3<0\}$

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#discrete-mathematics #elementary-set-theory #logic
210
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How do I write minimal negations for the following statements?

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#discrete-mathematics #logic
249
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What is going wrong with my solution for Project Euler 224?

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#discrete-mathematics #project-euler
46
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∀x(I(x) → ∃y(I(y) ∧ (x < y))), I(x): x is an integer

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#discrete-mathematics #predicate-logic #quantifiers #logic-translation
112
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Is the number $x^9+2x^7+3x^3+4x$ divisible for 5?

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#discrete-mathematics #modular-arithmetic #divisibility
48
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Prove p, assuming the following: (1) r → ¬q (2) q (3) ¬(p ∧ ¬s) ∧ (¬r → p)

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#discrete-mathematics #propositional-calculus
119
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Solve the recursion given by $f(n) = 2f(n-1) + \frac{(-1)^n}{n!}$ using generating functions.

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#combinatorics #discrete-mathematics #power-series #generating-functions #recursion
55
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Understand a definition

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#linear-algebra #functions #discrete-mathematics
190
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Determining Statement Truth or Falsity?

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#discrete-mathematics #logic #quantifiers
14.9k
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Show that the argument form with premises $(p∧t)→...¬s$ and conclusion $q→r$ is valid

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#discrete-mathematics #logic
1.6k
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Showing a conditional statement is a tautology without using a truth table.

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#discrete-mathematics #proof-verification #logic

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