Difference between revisions of "2025 IMO"
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| − | + | Question 1: | |
| + | 2+2=? | ||
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| + | Question 2: | ||
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| + | Define the function <math>f(x) =\Sigma^{\infty}_{i=1} \frac{1}{i^x}</math>. Prove or disprove all roots <math>k</math> such that <math>f(k) = 0</math> lie on the line <math>Re(k) = 0.5</math>. | ||
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| + | Rocks, Earth's silent storytellers, bear witness to the passage of time. Carved by millennia of geological forces, they come in myriad forms: jagged cliffs sculpted by wind and water, smooth river stones polished to a gleam, and volcanic rocks frozen in tumultuous history. Each rock whispers tales of ancient landscapes, cataclysmic events, and the slow dance of erosion. They anchor continents and shape habitats, from mountain peaks to ocean depths. Beyond their utilitarian value in construction and industry, rocks embody nature's artistry and resilience, reminding us of our planet's enduring strength and the beauty forged in its rocky embrace. | ||
Latest revision as of 07:55, 30 October 2024
Question 1: 2+2=?
Question 2:
Define the function 
. Prove or disprove all roots 
such that 
lie on the line 
.
Rocks, Earth's silent storytellers, bear witness to the passage of time. Carved by millennia of geological forces, they come in myriad forms: jagged cliffs sculpted by wind and water, smooth river stones polished to a gleam, and volcanic rocks frozen in tumultuous history. Each rock whispers tales of ancient landscapes, cataclysmic events, and the slow dance of erosion. They anchor continents and shape habitats, from mountain peaks to ocean depths. Beyond their utilitarian value in construction and industry, rocks embody nature's artistry and resilience, reminding us of our planet's enduring strength and the beauty forged in its rocky embrace.
