Question

How to find the number of integers of the form $\overline{a_7a_6a_5...a_1}$ where $\forall i,$ $a_i\leq a_{i+1}$ and $a_7 \neq 0$

score 57 · Answer 1 · 2020-04-02 06:19:29

57

Views

How to find the number of integers of the form $\overline{a_7a_6a_5...a_1}$ where $\forall i,$ $a_i\leq a_{i+1}$ and $a_7 \neq 0$

Published on 02 Apr 2020 - 6:19

score 328 · Answer 2 · 2026-02-23 11:33:06

328

Views

If $a \lt b$ and $f,g \in R[a,b]$ satisfy $f \leq g$ then $\int^b_af(x)dx \leq \int^b_ag(x)dx$

Published on 23 Feb 2026 - 11:33

score 315 · Answer 3 · 2026-03-25 14:26:01

315

Views

Prob. 7 (c), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Example of a shrinking map that is not a contraction

Published on 25 Mar 2026 - 14:26

score 46 · Answer 4 · 2020-04-02 13:34:44

46

Views

Request help in question on checking if object is a group or not.

Published on 02 Apr 2020 - 13:34

score 3.5k · Answer 5 · 2020-04-02 13:47:19

3.5k

Views

prove the Riemann-Lebesgue lemma: $\int^b_af(x)\cos(nx)dx\rightarrow 0$ as $n\rightarrow \infty$ for any regulated function $f$

Published on 02 Apr 2020 - 13:47

score 53 · Answer 6 · 2020-04-02 13:59:11

53

Views

Is my process is right of $\int_{}^{} e^{-2x}\cdot\cos{4x} dx $?

Published on 02 Apr 2020 - 13:59

score 72 · Answer 7 · 2020-04-02 15:56:23

72

Views

"Show that between any two roots of $\sin(x)$, there is at least one root of $\cos(x)$"

Published on 02 Apr 2020 - 15:56

score 72 · Answer 8 · 2020-04-02 16:00:49

72

Views

Prove $F[x]/\langle p(cx)\rangle\cong F(\sqrt{b})$, and $F(\sqrt{a}) \cong F(\sqrt{b})$

Published on 02 Apr 2020 - 16:00

score 414 · Answer 9 · 2020-04-02 16:23:11

414

Views

Find the area of the region between the graphs of $f(x)=x^2+4x+4$ and $g(x)=4x+20$

Published on 02 Apr 2020 - 16:23

score 308 · Answer 10 · 2026-03-25 06:06:27

308

Views

Does this $(x+y)^2\ge 4xy$ hold for all real $x$ and $y$ - not only for non-negative?

Published on 25 Mar 2026 - 6:06

score 35 · Answer 11 · 2020-04-02 17:14:15

35

Views

Is the following a valid proof in number theory?

Published on 02 Apr 2020 - 17:14

score 86 · Answer 12 · 2020-04-02 17:29:52

86

Views

Define transformation $T([x \space \space y\space \space z]^T) = [xy\space\space\space xz]^T$. Is it true that $dim(ker(T)) = 2$?

Published on 02 Apr 2020 - 17:29

score 303 · Answer 13 · 2026-03-25 14:22:03

303

Views

Prob. 7 (d), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Not every shrinking map is a contraction. An example

Published on 25 Mar 2026 - 14:22

score 115 · Answer 14 · 2020-04-02 18:50:15

115

Views

Trouble finding error in my proof for Baby Rudin exercise 4.1

Published on 02 Apr 2020 - 18:50

score 277 · Answer 15 · 2020-04-02 19:06:42

277

Views

Verify if $A * B = (A \cup B) - (A \cap B)$ forms a group, on sets from $G =\mathcal{P}(S)$.

Published on 02 Apr 2020 - 19:06

List Question

How to find the number of integers of the form $\overline{a_7a_6a_5...a_1}$ where $\forall i,$ $a_i\leq a_{i+1}$ and $a_7 \neq 0$

If $a \lt b$ and $f,g \in R[a,b]$ satisfy $f \leq g$ then $\int^b_af(x)dx \leq \int^b_ag(x)dx$

Prob. 7 (c), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Example of a shrinking map that is not a contraction

Request help in question on checking if object is a group or not.

prove the Riemann-Lebesgue lemma: $\int^b_af(x)\cos(nx)dx\rightarrow 0$ as $n\rightarrow \infty$ for any regulated function $f$

Is my process is right of $\int_{}^{} e^{-2x}\cdot\cos{4x} dx $?

"Show that between any two roots of $\sin(x)$, there is at least one root of $\cos(x)$"

Prove $F[x]/\langle p(cx)\rangle\cong F(\sqrt{b})$, and $F(\sqrt{a}) \cong F(\sqrt{b})$

Find the area of the region between the graphs of $f(x)=x^2+4x+4$ and $g(x)=4x+20$

Does this $(x+y)^2\ge 4xy$ hold for all real $x$ and $y$ - not only for non-negative?

Is the following a valid proof in number theory?

Define transformation $T([x \space \space y\space \space z]^T) = [xy\space\space\space xz]^T$. Is it true that $dim(ker(T)) = 2$?

Prob. 7 (d), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: Not every shrinking map is a contraction. An example

Trouble finding error in my proof for Baby Rudin exercise 4.1

Verify if $A * B = (A \cup B) - (A \cap B)$ forms a group, on sets from $G =\mathcal{P}(S)$.

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