ILIEKMATHPHYSICS

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Proving limits of sequences from the epsilon-N definition Practice Problems (ILIEKMATHPHYSICS)

Proving limits of sequences from the epsilon-N definition Practice Problems (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

305 views - 3 months ago

Proof that 1^b = 1 for every rational number b (ILIEKMATHPHYSICS)

Proof that 1^b = 1 for every rational number b (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

1.2K views - 3 months ago

Proof that (ab)^c = a^c * b^c for rational exponents (ILIEKMATHPHYSICS)

Proof that (ab)^c = a^c * b^c for rational exponents (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

168 views - 3 months ago

Proof that (a^b)^c = a^bc for rational exponents (ILIEKMATHPHYSICS)

Proof that (a^b)^c = a^bc for rational exponents (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

79 views - 3 months ago

Proof that a^b * a^c = a^(b+c) for rational exponents (ILIEKMATHPHYSICS)

Proof that a^b * a^c = a^(b+c) for rational exponents (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

142 views - 3 months ago

Defining rational number exponents (ILIEKMATHPHYSICS)

Defining rational number exponents (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

115 views - 3 months ago

Prove that (nth root of x)^m = nth root of x^m (ILIEKMATHPHYSICS)

Prove that (nth root of x)^m = nth root of x^m (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

208 views - 5 months ago

Prove if a ≥ 0 and n is an integer ≥ 0, then a^n ≥ 0 (ILIEKMATHPHYSICS)

Prove if a ≥ 0 and n is an integer ≥ 0, then a^n ≥ 0 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

81 views - 5 months ago

Prove x﹤y if and only if nth root of x﹤nth root of y (ILIEKMATHPHYSICS)

Prove x﹤y if and only if nth root of x﹤nth root of y (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

218 views - 5 months ago

If x﹥1 then nth root of x﹥1, and if 0﹤x﹤1 then 0﹤nth root of x﹤1 (Proof) (ILIEKMATHPHYSICS)

If x﹥1 then nth root of x﹥1, and if 0﹤x﹤1 then 0﹤nth root of x﹤1 (Proof) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

156 views - 5 months ago

Prove that the nth root of 1 is 1 (ILIEKMATHPHYSICS)

Prove that the nth root of 1 is 1 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

136 views - 5 months ago

Prove that the nth root of xy = nth root of x times nth root of y (ILIEKMATHPHYSICS)

Prove that the nth root of xy = nth root of x times nth root of y (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

188 views - 5 months ago

Prove that the mth root of the nth root of x equals the mnth root of x (ILIEKMATHPHYSICS)

Prove that the mth root of the nth root of x equals the mnth root of x (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

79 views - 5 months ago

If a ≥ 0 and a^n = x, then a = nth root of x (Proof) (ILIEKMATHPHYSICS)

If a ≥ 0 and a^n = x, then a = nth root of x (Proof) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

258 views - 5 months ago

Prove that x = (nth root of x)^n (ILIEKMATHPHYSICS)

Prove that x = (nth root of x)^n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

120 views - 5 months ago

Prove that the nth root of a positive number is positive (ILIEKMATHPHYSICS)

Prove that the nth root of a positive number is positive (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

122 views - 5 months ago

Prove that the nth root of 0 is 0 (ILIEKMATHPHYSICS)

Prove that the nth root of 0 is 0 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

191 views - 5 months ago

$Defining the nth root of x as the supremum of {y ≥ 0 | y^n ≤ x}, proof it exists (ILIEKMATHPHYSICS)$ 6:12

Defining the nth root of x as the supremum of {y ≥ 0 | y^n ≤ x}, proof it exists (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

162 views - 5 months ago

Let a,b ≥ 0 and let n ≥ 0 be an integer. Prove if a ≤ b then a^n ≤ b^n (ILIEKMATHPHYSICS)

Let a,b ≥ 0 and let n ≥ 0 be an integer. Prove if a ≤ b then a^n ≤ b^n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

77 views - 5 months ago

Let 0 ﹤ a ≤ 1 and m,n be integers. Prove if m ≤ n then a^n ≤ a^m (ILIEKMATHPHYSICS)

Let 0 ﹤ a ≤ 1 and m,n be integers. Prove if m ≤ n then a^n ≤ a^m (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

139 views - 5 months ago

Let a ≥ 1 and m,n be integers. Prove if m ≤ n then a^m ≤ a^n (ILIEKMATHPHYSICS)

Let a ≥ 1 and m,n be integers. Prove if m ≤ n then a^m ≤ a^n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

94 views - 5 months ago

If a ﹥ b ﹥ 0 and n is a positive integer, then a^n - b^n ≤ (a-b)na^(n-1) (ILIEKMATHPHYSICS)

If a ﹥ b ﹥ 0 and n is a positive integer, then a^n - b^n ≤ (a-b)na^(n-1) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

342 views - 5 months ago

Proof that 0 to the power of n equals 0 (ILIEKMATHPHYSICS)

Proof that 0 to the power of n equals 0 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

156 views - 5 months ago

Let 0 ﹤ a ﹤ 1 and m,n be integers. Prove if m ﹤ n then a^n ﹤ a^m (ILIEKMATHPHYSICS)

Let 0 ﹤ a ﹤ 1 and m,n be integers. Prove if m ﹤ n then a^n ﹤ a^m (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

125 views - 6 months ago

Let a ﹥ 1 and m,n be integers. Prove if m ﹤ n then a^m ﹤ a^n (ILIEKMATHPHYSICS)

Let a ﹥ 1 and m,n be integers. Prove if m ﹤ n then a^m ﹤ a^n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

281 views - 6 months ago

Let a,b ≥ 0 and n be a positive integer. Prove if a^n = b^n then a = b (ILIEKMATHPHYSICS)

Let a,b ≥ 0 and n be a positive integer. Prove if a^n = b^n then a = b (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

97 views - 6 months ago

Let a,b ≥ 0 and n be a positive integer. Prove if a^n ﹤ b^n then a ﹤ b (ILIEKMATHPHYSICS)

Let a,b ≥ 0 and n be a positive integer. Prove if a^n ﹤ b^n then a ﹤ b (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

146 views - 6 months ago

Let a,b ≥ 0 and n be a positive integer. Prove if a ﹤ b then a^n ﹤ b^n (ILIEKMATHPHYSICS)

Let a,b ≥ 0 and n be a positive integer. Prove if a ﹤ b then a^n ﹤ b^n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

302 views - 9 months ago

Proof if 0 ﹤ a ﹤ 1 then 0 ﹤ a^n ﹤ 1 for every positive integer n (ILIEKMATHPHYSICS)

Proof if 0 ﹤ a ﹤ 1 then 0 ﹤ a^n ﹤ 1 for every positive integer n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

249 views - 9 months ago

Proof if a ﹥ 1 then a^n ﹥ 1 for every positive integer n (ILIEKMATHPHYSICS)

Proof if a ﹥ 1 then a^n ﹥ 1 for every positive integer n (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

117 views - 9 months ago

Proof that |a^n| = |a|^n if a ≠ 0 and n is any integer (ILIEKMATHPHYSICS)

Proof that |a^n| = |a|^n if a ≠ 0 and n is any integer (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

212 views - 9 months ago

Proof if n is even then (-1)^n = 1, and if n is odd then (-1)^n = -1 (ILIEKMATHPHYSICS)

Proof if n is even then (-1)^n = 1, and if n is odd then (-1)^n = -1 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

206 views - 9 months ago

Let a ﹤ 0 and n be an integer. If n is even then a^n ﹥ 0 and if n is odd then a^n ﹤ 0 (Proof)

Let a ﹤ 0 and n be an integer. If n is even then a^n ﹥ 0 and if n is odd then a^n ﹤ 0 (Proof) ILIEKMATHPHYSICS

222 views - 9 months ago

Proof if a ﹥ 0 and n is an integer then a^n ﹥ 0 (ILIEKMATHPHYSICS)

Proof if a ﹥ 0 and n is an integer then a^n ﹥ 0 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

242 views - 9 months ago

Proof that 1^n = 1 for every integer n (Second Proof) (ILIEKMATHPHYSICS)

Proof that 1^n = 1 for every integer n (Second Proof) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

395 views - 9 months ago

Proof if a ≠ 0 and n is any integer, then a^n ≠ 0 (Second Proof) (ILIEKMATHPHYSICS)

Proof if a ≠ 0 and n is any integer, then a^n ≠ 0 (Second Proof) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

75 views - 9 months ago

Proof that (a^m)^n = a^mn where a ≠ 0 and m,n are any integers (ILIEKMATHPHYSICS)

Proof that (a^m)^n = a^mn where a ≠ 0 and m,n are any integers (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

129 views - 9 months ago

Proof that a^n ≠ 0, where a ≠ 0 and n is any integer (First Proof) (ILIEKMATHPHYSICS)

Proof that a^n ≠ 0, where a ≠ 0 and n is any integer (First Proof) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

187 views - 9 months ago

Proof that a^m * a^n = a^(m+n) where a ≠ 0 and m,n are any integers (ILIEKMATHPHYSICS)

Proof that a^m * a^n = a^(m+n) where a ≠ 0 and m,n are any integers (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

169 views - 9 months ago

Proof that 1^n = 1 for every integer n (First Proof) (ILIEKMATHPHYSICS)

Proof that 1^n = 1 for every integer n (First Proof) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

1.2K views - 9 months ago

Proof that (ab)^n = a^n * b^n where a,b ≠ 0 and n is any integer (ILIEKMATHPHYSICS)

Proof that (ab)^n = a^n * b^n where a,b ≠ 0 and n is any integer (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

433 views - 9 months ago

Proof that (ab)^n = a^n * b^n where a,b are reals and n is a nonnegative integer (ILIEKMATHPHYSICS)

Proof that (ab)^n = a^n * b^n where a,b are reals and n is a nonnegative integer (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

120 views - 9 months ago

Proof that (a^m)^n = a^mn where a is a real number and m,n are nonnegative integers

Proof that (a^m)^n = a^mn where a is a real number and m,n are nonnegative integers ILIEKMATHPHYSICS

173 views - 9 months ago

Proof that a^m * a^n = a^(m+n), where a is a real number and m and n are nonnegative integers

Proof that a^m * a^n = a^(m+n), where a is a real number and m and n are nonnegative integers ILIEKMATHPHYSICS

317 views - 9 months ago

Real Analysis Practice Problems #1: Finding the supremum and infimum of a set (ILIEKMATHPHYSICS)

Real Analysis Practice Problems #1: Finding the supremum and infimum of a set (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

1.8K views - 9 months ago

Prove the union of any collection of open sets is an open set in a metric space (ILIEKMATHPHYSICS)

Prove the union of any collection of open sets is an open set in a metric space (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

225 views - 9 months ago

Proof of the Addition Rule for Derivatives (ILIEKMATHPHYSICS)

Proof of the Addition Rule for Derivatives (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

245 views - 9 months ago

Prove that P(Z^+) ~ R (ILIEKMATHPHYSICS)

Prove that P(Z^+) ~ R (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

450 views - 9 months ago

Prove that every open ball is an open set (ILIEKMATHPHYSICS)

Prove that every open ball is an open set (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

316 views - 9 months ago

Prove if A ~ B then P(A) ~ P(B) (ILIEKMATHPHYSICS)

Prove if A ~ B then P(A) ~ P(B) (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

437 views - 9 months ago

Proof when a sequence of nested closed intervals contains a unique real number (ILIEKMATHPHYSICS)

Proof when a sequence of nested closed intervals contains a unique real number (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

349 views - 9 months ago

Proof of Lagrange's Theorem in Group Theory (ILIEKMATHPHYSICS)

Proof of Lagrange's Theorem in Group Theory (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

355 views - 9 months ago

Proving several properties about cosets (ILIEKMATHPHYSICS)

Proving several properties about cosets (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

176 views - 9 months ago

Proof that a + b = b + a (ILIEKMATHPHYSICS)

Proof that a + b = b + a (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

8.8K views - 9 months ago

Proof of the cancellation laws of addition for the complex numbers (ILIEKMATHPHYSICS)

Proof of the cancellation laws of addition for the complex numbers (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

226 views - 9 months ago

Proof that 0 + a = a (ILIEKMATHPHYSICS)

Proof that 0 + a = a (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

1K views - 9 months ago

Proof that every complex number has a left and right additive inverse (ILIEKMATHPHYSICS)

Proof that every complex number has a left and right additive inverse (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

135 views - 9 months ago

Proof that a + 0 = a (ILIEKMATHPHYSICS)

Proof that a + 0 = a (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

353 views - 9 months ago

Proof that 1 + 0 is not equal to 0 (ILIEKMATHPHYSICS)

Proof that 1 + 0 is not equal to 0 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

232 views - 9 months ago

Proof that 0 * a = 0 (ILIEKMATHPHYSICS)

Proof that 0 * a = 0 (ILIEKMATHPHYSICS) ILIEKMATHPHYSICS

403 views - 9 months ago