Recent changes
Track the most recent changes to the wiki on this page.
List of abbreviations:
- N
- This edit created a new page (also see list of new pages)
- m
- This is a minor edit
- b
- This edit was performed by a bot
- (±123)
- The page size changed by this number of bytes
17 January 2025
|
|
N 12:52 | E14309 6 changes history 0 [Danciu Daniel (3×); Bogdan.Pop (3×)] | |||
|
|
12:52 (cur | prev) −1,322 Bogdan.Pop talk contribs (Blanked the page) Tags: Blanking Visual edit: Switched | ||||
|
|
12:49 (cur | prev) +2 Bogdan.Pop talk contribs Tags: Manual revert Visual edit | ||||
|
|
12:49 (cur | prev) −2 Bogdan.Pop talk contribs Tag: Visual edit: Switched | ||||
|
|
02:50 (cur | prev) +1 Danciu Daniel talk contribs Tag: Visual edit | ||||
|
|
02:49 (cur | prev) 0 Danciu Daniel talk contribs Tag: Visual edit | ||||
| N |
|
02:48 (cur | prev) +1,321 Danciu Daniel talk contribs (Created page with "'''E:14309. (Alexandru Vele, Târgu Lăpuș)''' ''Determinați numerele naturale'' <math>a_1, a_2, a_3, a_4, a_5, a_6, a_7</math> ''astfel încât să avem egalitatea:'' ''2012 ='' <math>a_1 \cdot 3^x + a_2 \cdot 3^y + a_3 \cdot 3^z + a_4 \cdot 3^t + a_5 \cdot 3^u + a_6 \cdot 3^r + a_7 \cdot 3^s</math> ''Arătați că a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> + a<sub>4</sub> + a<sub>5</sub> + a<sub>6</sub> + a<sub>7</sub> = m<sup>2</sup> + n<sup>2</sup> , m,n...") Tag: Visual edit | |||
|
|
12:51 | Gazeta matematică 2012 2 changes history +1,228 [Bogdan.Pop (2×)] | |||
|
|
12:51 (cur | prev) −1 Bogdan.Pop talk contribs Tag: Visual edit | ||||
|
|
12:43 (cur | prev) +1,229 Bogdan.Pop talk contribs (adaugat execitiul 14309 din editia 2012) Tag: Visual edit | ||||
|
|
N 12:51 | 14309 2 changes history +1,183 [Bogdan.Pop (2×)] | |||
|
|
12:51 (cur | prev) +1,157 Bogdan.Pop talk contribs Tag: Visual edit | ||||
| N |
|
11:55 (cur | prev) +26 Bogdan.Pop talk contribs (Created page with "'''E:14309 (Bogdan Pop)'''") Tag: Visual edit | |||
16 January 2025
| N 12:39 | E:26460 diffhist +785 Ionut talk contribs (Created page with "'''Problema 26460 (Nicolae Mușuroia, Baia Mare)''' ''Să se arate că dacă a, b, c sunt numere reale strict pozitive cu <math>a + b + c = abc</math>, atunci <math>(1 + a^2)(1 + b^2)(1 + c^2) \geq 64</math>.'' '''Soluție.''' Relația <math>a + b + c = abc</math> se scrie <math>\frac{1}{bc} + \frac{1}{ca} + \frac{1}{ab} = 1</math>. Avem: <math> 1 + a^2 = a^2 \left( 1 + \frac{1}{a^2} \right) = a^2 \left( \frac{1}{bc} + \frac{1}{ca} + \frac{1}{ab} + \frac{1}{a^2} \righ...") | ||||
|
|
08:23 | E:14313 4 changes history −500 [Andrei.Horvat (4×)] | |||
|
|
08:23 (cur | prev) +1 Andrei.Horvat talk contribs Tag: Visual edit | ||||
|
|
08:22 (cur | prev) +367 Andrei.Horvat talk contribs Tag: Visual edit | ||||
| m |
|
08:17 (cur | prev) −718 Andrei.Horvat talk contribs Tag: Visual edit | |||
|
|
08:13 (cur | prev) −150 Andrei.Horvat talk contribs | ||||
|
|
08:12 | Gazeta matematică 2012 7 changes history +667 [Andrei.Horvat (7×)] | |||
| m |
|
08:12 (cur | prev) +6 Andrei.Horvat talk contribs Tag: Visual edit | |||
|
|
08:11 (cur | prev) −9 Andrei.Horvat talk contribs | ||||
|
|
08:08 (cur | prev) +233 Andrei.Horvat talk contribs | ||||
| m |
|
08:06 (cur | prev) +6 Andrei.Horvat talk contribs Tag: Visual edit | |||
| m |
|
07:54 (cur | prev) +431 Andrei.Horvat talk contribs (→Gazeta Matematică 3/2012) | |||
| m |
|
07:43 (cur | prev) −315 Andrei.Horvat talk contribs Tag: Manual revert | |||
|
|
07:38 (cur | prev) +315 Andrei.Horvat talk contribs (→Gazeta Matematică 3/2012) | ||||
|
|
m 08:02 | E:14312 3 changes history −172 [Andrei.Horvat (3×)] | |||
| m |
|
08:02 (cur | prev) −130 Andrei.Horvat talk contribs Tag: Visual edit | |||
| m |
|
07:55 (cur | prev) −38 Andrei.Horvat talk contribs Tag: Visual edit: Switched | |||
| m |
|
07:50 (cur | prev) −4 Andrei.Horvat talk contribs Tag: Manual revert | |||
| 07:44 | Gazeta matematică 2023 diffhist +319 Andrei.Horvat talk contribs | ||||
|
|
N 07:39 | E:16610 2 changes history +1,074 [Andrei.Horvat (2×)] | |||
| m |
|
07:39 (cur | prev) +4 Andrei.Horvat talk contribs | |||
| N |
|
07:38 (cur | prev) +1,070 Andrei.Horvat talk contribs (Created page with "'''E:16610 (Cristina Vijdeluc, Salonic și Mihai Vijdeluc) ''' ''Aflați numerele naturale <math>\overline{abc}</math>, știind că <math>\overline{ab}</math> și <math>\overline{cb}</math> sunt numere prime și <math>\overline{ab}^2 + \overline{cb}^2 + b^2 = 2027</math>.'' '''Soluție''' Din relația dată deducem că <math>\overline{ab} \leq 43</math>, <math>\overline{cb} \leq 43</math>. În plus, cum acestea sunt numere prime de două cifre, trebuie să fie impare...") | |||
14 January 2025
|
|
N 18:39 | E:14313 2 changes history +1,241 [Maria.Olivia.Pop (2×)] | |||
|
|
18:39 (cur | prev) +1,067 Maria.Olivia.Pop talk contribs | ||||
| N |
|
08:00 (cur | prev) +174 Maria.Olivia.Pop talk contribs (Created page with "'''E:14313 (Emil Florin Bizău și Ioan Bizău, Sighetu Marmației)''' ''Determinați numerele întregi <math>x</math>, <math>y</math> și <math>z</math> astfel încât: ''") | |||
|
|
N 18:26 | E:14312 5 changes history +1,579 [Maria.Olivia.Pop (5×)] | |||
|
|
18:26 (cur | prev) +4 Maria.Olivia.Pop talk contribs | ||||
|
|
18:24 (cur | prev) +58 Maria.Olivia.Pop talk contribs | ||||
|
|
18:23 (cur | prev) −1,055 Maria.Olivia.Pop talk contribs Tag: Visual edit: Switched | ||||
|
|
18:22 (cur | prev) +2,267 Maria.Olivia.Pop talk contribs Tag: Visual edit: Switched | ||||
| N |
|
07:57 (cur | prev) +305 Maria.Olivia.Pop talk contribs (Created page with "'''E:14312 (Iulian Bunu, Baia Mare)''' ''Andrei are o anumită sumă de bani și se pregătește pentru două evenimente: Tabăra de Matetică și aversarea Anei. '' '''Soluție (Ana Iulia Ciupală, Lic. Teoretic "Johannes Honterus", Brașov):''' ''Fie <math>a</math> suma pe care o are andrei. ''") Tag: Visual edit: Switched | |||
| 07:49 | User creation log User account Maria.Olivia.Pop talk contribs was created by Cosmin.SABO talk contribs | ||||
13 January 2025
|
|
N 10:39 | E:15346 2 changes history +1,271 [Vasiliu Costel Andrei (2×)] | |||
|
|
10:39 (cur | prev) +187 Vasiliu Costel Andrei talk contribs | ||||
| N |
|
10:38 (cur | prev) +1,084 Vasiliu Costel Andrei talk contribs (Created page with "'''Soluție.''' a) <math>1^3 + 1^3 + 5^3 + 6^3 - 7^3 = 0</math>. b) Din punctul a) putem scrie <math>1^3 + 1^3 + 5^3 + 6^3 = 7^3</math> sau <math>\left(\frac{1}{7}\right)^3 + \left(\frac{1}{7}\right)^3 + \left(\frac{5}{7}\right)^3+\left(\frac{6}{7}\right)^3 = 1</math>. Acum <math>\left(\frac{1}{7}\right)^{2018}<\left(\frac{1}{7}\right)^3 , \left(\frac{5}{7}\right)^{2018}<\left(\frac{5}{7}\right)^3, \left(\frac{6}{7}\right)^{2018}<\left(\frac{6}{7}\right)^3</math>, de...") | |||
| 10:20 | Gazeta matematică 2018 diffhist +187 Vasiliu Costel Andrei talk contribs (→Gazeta Matematică 4/2018) | ||||
12 January 2025
|
|
m 18:45 | E:14336 2 changes history +5 [Andrei.Horvat (2×)] | |||
| m |
|
18:45 (cur | prev) 0 Andrei.Horvat talk contribs | |||
| m |
|
18:45 (cur | prev) +5 Andrei.Horvat talk contribs | |||
|
|
18:43 | Gazeta matematică 2012 3 changes history +667 [Andrei.Horvat (3×)] | |||
| m |
|
18:43 (cur | prev) +5 Andrei.Horvat talk contribs (→Gazeta Matematică 4/2012) | |||
| m |
|
18:24 (cur | prev) +8 Andrei.Horvat talk contribs Tag: Visual edit | |||
|
|
18:23 (cur | prev) +654 Andrei.Horvat talk contribs | ||||
|
|
N 18:24 | 14310 3 changes history +1,408 [Andrei.Horvat; Benzar Ioan (2×)] | |||
| m |
|
18:24 (cur | prev) +2 Andrei.Horvat talk contribs | |||
|
|
17:58 (cur | prev) +32 Benzar Ioan talk contribs | ||||
| N |
|
17:50 (cur | prev) +1,374 Benzar Ioan talk contribs (Created page with "'''14310 (Traian Covaciu)''' ''Fie <math>n, n + 2, n + 6 </math> trei numere naturale și <math> S </math> suma lor.'' a) ''Dați exemplu de cel puțin trei valori pentru <math> n \in \mathbb{N}</math> astfel incat numerele <math> n, n + 2, n + 6 </math> sa fie simultan numere prime.'' <p> b) ''Daca <math> n, n + 2, n + 6 </math> sunt simultan numere prime, aratati ca exista <math> k \in \mathbb{N} </math> astfel incat <math> S = 9k + 5</math>. '' <p> c) ''Daca <math...") Tag: Visual edit: Switched | |||
| N 17:55 | 14311 diffhist +424 Benzar Ioan talk contribs (Created page with "''' 14311 (Neculai Stanciu) ''' '' Determinați cel mai mic număr natural de forma: <math> ab + cd + ef +gh </math>, unde <math> a, b, c, d, e, f, g, h </math> sunt numere naturale nenule, distincte două cate două.''<p> '''Solutie:''' <p> Trebuie ca <math> a, b, c, d, e, f, g ,h \in {1, 2, 3, 4, 5, 6, 7, 8} </math>. Cea mai mică sumă, deci cel mai mic număr, este <math> 1 * 8 + 2 * 7 + 3 * 6 + 4 * 5 = 60 </math>.") | ||||
| m 08:31 | E:15344 diffhist +8 Andrei.Horvat talk contribs | ||||
| 08:31 | Gazeta matematică 2018 diffhist +460 Andrei.Horvat talk contribs (→Gazeta Matematică 4/2018) | ||||