newbtop

[newbtop @messouh_s]

@gharawi_mo26605 إذن هي فتوى غبية جدا

[newbtop @messouh_s]

@tajalsserosman وأنتم بماذا تتاجرون ؟ بالخرى 💩 !!

[newbtop @messouh_s]

@s_m_marandi He is a rapist and child murderer. Never make a deal with such scum.

[newbtop @messouh_s]

@JamalCheaib حتى درس روسيا وأوكرانيا كان كافي

[newbtop @messouh_s]

@nasser_duwailah لم يبقى بيني وبين العرب إلا الذبح - الإمام المهدي -

[newbtop @messouh_s]

@msedghian الحروب لا تنتهي بمجرد توقيع ولكنها تنتهي حين تستنفذ ذاتها. إيران تخطئ حين تتفاوض مع قاتل أطفال.

[newbtop @messouh_s]

@s_m_marandi Iran must engage in war fiercely and with the full support of its allies, the United States must be taught a difficult lesson 😘💪

[newbtop @messouh_s]

@amrwaked 😇😉😘

[Tamim Al-Barghouti @TamimBarghouti]

ألم يبدأ التوحيد… شعر تميم البرغوثي https://t.co/Ezu51yWIaP via @YouTube

[newbtop @messouh_s]

@v_alalamnews 🌹🌹🌹

[newbtop @messouh_s]

@Bin_S_aeed 🌹🌹🌹

[أصيل 180 @Asil_180]

الشاعر العربي الكبير تميم البرغوثي يرثي قائد الجمهورية الإسلامية الراحل السيد علي الخامنئي..

@TamimBarghouti

[newbtop @messouh_s]

@msedghian على إيران إتباع سياسة الغموض في كل شيء. لماذا تُعطِي أعداءها ما يطمعون به؟ ليذهبو إلى الجحيم.

[newbtop @messouh_s]

@msedghian على إيران إتباع سياسة الغموض في كل شيء. لماذا تعطِي أعداءها ما يطمعون به؟ ليذهبو إلى الجحيم.

[newbtop @messouh_s]

@kadijah214 إذا دولة تعادي إيران وتفرض عليها عقوبات، فلماذا نطلب من إيران أن تسمح لها بالمرور ؟ 🤔 العين بالعين 🥲

[ScieVision @scievision369]

Fundamental Theorem of Galois Theory ✍️

The Fundamental Theorem of Galois Theory reveals one of the most surprising connections in mathematics. The structure of number systems created by adding irrational numbers to the rationals mirrors the structure of symmetry groups. Évariste Galois discovered this link in the early nineteenth century. He died in a duel at age twenty, before anyone fully grasped his revolutionary ideas. The main insight is this: when you create a larger number system by adding elements like square roots to the rational numbers, that system has symmetries. These symmetries are transformations that rearrange its elements while keeping every rational number unchanged. All such symmetries form a group. The Fundamental Theorem states that the hierarchy of intermediate number systems between the small base field and the large extension field corresponds perfectly, but in reverse, to the hierarchy of subgroups of that symmetry group.

The upper left diagram illustrates this with a concrete example. Starting from the rational numbers at the bottom, adding both the square root of two and the square root of three creates a large field at the top, with three intermediate fields in between containing one root or the other. The upper right diagram shows the mirror image: the symmetry group of four elements. One symmetry flips the sign of the square root of two, another flips the sign of the square root of three, and a third flips both. There are three intermediate subgroups of size two. The two diamond-shaped diagrams have the same structure but are reversed in relation to each other. The largest field corresponds to the smallest group, while the smallest field corresponds to the largest group. This reversal is intuitive. The full large field has very few symmetries that leave it entirely unchanged, while the small rational numbers remain unchanged by every symmetry in the entire group.

The most famous result of this theory is the proof that no general formula can solve fifth-degree polynomial equations. Every high school student learns the quadratic formula for second-degree equations. Similar formulas exist for third and fourth degrees. For centuries, mathematicians searched for a fifth-degree equivalent. Galois proved this is truly impossible not because no one was clever enough, but because the symmetry group of the general fifth-degree equation lacks a specific structural property needed for any such formula to exist. This framework also showed that three ancient Greek geometric problems are impossible. Trisecting an arbitrary angle, doubling a cube, and squaring a circle with just a straightedge and compass cannot be done. Beyond these classical problems, Galois's insight that symmetry can be studied as a mathematical object led to the development of abstract algebra and influences modern physics through the gauge symmetries that govern the fundamental forces of nature.

[newbtop @messouh_s]

@msedghian لماذا يتحدث أغلبهم بلغة الأوامر، قائلين "يجب على إيران أن تفعل كذا وتفعل كذا"؟ هذا ليس دور المحلل السياسي؛ دوره أن يُحلّل، لا أن يُملي الأوامر. ثم هل المسؤولون في إيران سيخافون منهم أو يستمعون إليهم أصلاً؟! 😘

[newbtop @messouh_s]

@msedghian أغلب الخبراء والعسكريين واساتذة الجامعات المرموقة و حتى الأمريكان أنفسهم يقولون أن أمريكا خسرت الحرب أمام إيران 💪. ولكنكم تحبون دكتور مهند 🤡🤓 . يا أمة ضحكت من جهلها الأمم.