15-ma’ruza: Yadro fizikasi, Capstone yakuniy loyiha va 7 AI pipeline

Yadro fizikasi qonuniyatlari va yakuniy mustaqil loyiha (Capstone) metodologiyasi

Radioaktiv yemirilish qonuni ($N(t)=N_0 e^{-\lambda t}$), Uran-235 zanjirli yadro bo‘linishi (fission: $E=\Delta mc^2 \approx 200\text{ MeV}$) va termoyadroviy sintez (fusion: $^{2}\text{H}+^{3}\text{H}\rightarrow^{4}\text{He}+n+17.6\text{ MeV}$) jarayonlarini modellashtirish hamda talabaning mustaqil tanlagan fizik mavzusi bo‘yicha to‘liq 7 ta AI vosita (MagicSchool → PhET/Vascak → Claude → Google Antigravity → ElevenLabs/Muxlisa → Otter.ai → Undetectable AI) yordamida yakuniy mustaqil loyihani (Capstone) yaratish va himoya qilish metodologiyasi.

📋 15-ma’ruza rejasi va to‘liq AI-pipeline konveyeri:

1. AI diagnostika va reja:
MagicSchool AI: ZPD va Blum taksonomiyasi asosida 3 klasterli individual yadro fizikasi va Capstone rejasi.
2. Teskari muhandislik (PhET/Vascak):
PhET Nuclear Fission, Radioactive Dating va Vascak.cz modellarini dekonstruksiya qilish.
3. Simulyator kodi (Claude):
Monte-Karlo yemirilishi, neytron ko‘payish zanjiri ($k$), mass-defekt energiyasi va Tokamak plazmasi kodi.
4. Monitoring (Google Antigravity):
Barion/lepton sonlari saqlanishi, energiya-massa dreyfi $|\Delta E/E_0| < 0.0001\%$ va xavfsizlik auditi.
5. Baholash rubrikalari (MagicSchool AI):
Capstone loyihani baholash uchun 5 ta mezonli 100 ballik shkala va himoya reglamenti.
6 va 7. Capstone, sandbox va manbalar:
Undetectable AI akademik halollik nazorati, dual-canvas sandbox va APA 7th manbalar.

💡 Pullik vositalarning bepul muqobillari

Bu sahifada tilga olingan ayrim vositalar pullik, limitli yoki O‘zbekistonda cheklangan bo‘lishi mumkin. Topshiriqlarni quyidagi bepul vositalar bilan ham to‘liq bajarish mumkin:

To‘liq ro‘yxat: SI vositalari sahifasi.

1. Sun’iy intellekt uchun diagnostika va individual reja

MagicSchool AI va Vygotsky ZPD

Yadro fizikasi mikrodunyosi ko‘zga ko‘rinmas kvant-yadro kuchlari ($10^{-15}\text{ m}$), stoxastik radioaktiv yemirilish, zanjirli yadro bo‘linishi va yuqori energiyali termoyadroviy sintez jarayonlaridan iborat. MagicSchool AI yordamida Vygotskiy Yaqin Rivojlanish Zonasi (ZPD) asosida talabalar 3 ta kognitiv klasterga ajratilib, shaxsiylashtirilgan o‘quv trayektoriyasi shakllantiriladi:

3 Kognitiv klaster bo‘yicha individual yadro fizikasi va Capstone trayektoriyasi:

Klaster A: boshlang‘ich (Foundational)

Tavsif: Radioaktiv yemirilish qonuni ($N(t) = N_0 2^{-t/T_{1/2}}$), $\alpha, \beta, \gamma$ nurlanish turlari va yadro bog‘lanish energiyasi tushunchasini o‘zlashtiruvchi daraja.
AI strategiyasi: PhET Radioactive Dating Game orqali stoxastik yemirilish egri chiziqlarini ko‘rish va hisoblash.

Klaster B: amaliyotchi (Core)

Tavsif: Uran-235 zanjirli bo‘linishi ($^{235}\text{U} + n \rightarrow \text{Ba} + \text{Kr} + 3n + 200\text{ MeV}$), ko‘payish koeffitsiyenti $k$ va reaktor boshqaruvi.
AI strategiyasi: Claude orqali neytronlar kinetikasi va mass-defekt energiyasini hisoblovchi kod yaratish.

Klaster C: tadqiqotchi / Capstone

Tavsif: Termoyadroviy sintez (D-T Tokamak plazmasi), mustaqil tanlangan murakkab fizik jarayonni noldan simulyatsiya qilish va uni to‘liq ilmiy himoya qilish.
AI strategiyasi: Barcha 7 ta AI vositani yaxlit pipeline konveyeriga birlashtirish va Undetectable AI bilan hisobot originalligini kafolatlash.

🌐 WWW Ilmiy-Uslubiy Manba va Ta’limiy Diagnostika Asosi (1-Bo‘lim):

Krane, K. S. (1988). Introductory Nuclear Physics. John Wiley va Sons.
Manba mazmuni: Yadro fizikasining asosiy universitet darsligi: radioaktiv yemirilish qonuni (6-bob), $\alpha$-, $\beta$- va $\gamma$-yemirilish (8–10-boblar), yadro bo‘linishi (13-bob) va termoyadroviy sintez (14-bob). Ushbu bo‘limdagi klaster trayektoriyalarining fizik mazmuni shu darslikka tayanadi.

2. Teskari muhandislik tahlili: PhET va Vascak.cz

Reverse Engineering va nuclear model deconstruction

Yadro fizikasi modellarini yaratishda xalqaro e’tirof etilgan laboratoriyalar (PhET Interactive Simulations — Nuclear Fission, Radioactive Dating Game, Alpha Decay hamda Vascak.cz — Radioactive Decay, Nuclear Reactor) teskari muhandislik orqali dekonstruksiya qilinadi:

1. PhET "Nuclear Fission"

• Bitta yadro bo‘linishi: $^{235}_{92}\text{U} + ^{1}_0n \rightarrow ^{141}_{56}\text{Ba} + ^{92}_{36}\text{Kr} + 3 ^{1}_0n + 200\text{ MeV}$.
• Zanjirli reaksiya: Neytronlarning geometrik ko‘payishi $n(t) = n_0 k^{t/\tau}$ va boshqaruv sterjenlari dinamikasi.

2. PhET "Radioactive Dating"

• Stoxastik yemirilish: Har bir yadro uchun $\Delta t$ vaqt oralig‘ida yemirilish ehtimolligi $P = 1 - e^{-\lambda \Delta t}$.
• Izotopik tahlil: Uglerod-14 ($T_{1/2} \approx 5730$ yil) orqali arxeologik, Uran-238 ($T_{1/2} \approx 4.47 \cdot 10^9$ yil) orqali geologik yoshni hisoblash.

3. Vascak.cz "Nuclear Reactor"

• Reaktor termogidravlikasi: TVEL issiqlik ajratishi va sovutish konturi issiqlik balansi: $Q = \dot{m} c_p \Delta T$.
• Kritiklik holati: $k = 1.000$ kritik, $k > 1$ o‘ta kritik, $k < 1$ subkritik rejimlar.

🌐 WWW Ilmiy-Uslubiy Manbalar va Teskari Muhandislik Asosi (2-Bo‘lim):

Wieman, C. E., Adams, W. K., va Perkins, K. K. (2008). PhET: Simulations That Enhance Learning. Science, 322(5902), 682–683. https://doi.org/10.1126/science.1161948
Manba mazmuni: PhET simulyatsiyalarini loyihalash tamoyillari: ko‘zga ko‘rinmas jarayonlarni vizuallashtirish, darhol qayta aloqa beruvchi interaktiv boshqaruv va talabaning mustaqil tadqiqotini rag‘batlantirish orqali konseptual tushunishni chuqurlashtirish.
Eslatma: PhET’ning Nuclear Fission, Radioactive Dating Game va Alpha Decay simulyatsiyalari eski Java versiyada mavjud; brauzerda (HTML5) ishlaydigan eng yaqin muqobil — Build a Nucleus (7-bo‘limdagi jonli laboratoriya).

3. To‘liq simulyator kodi generatsiyasi: Claude

Full JavaScript Nuclear Engine va Monte Carlo solvers

Yadro fizikasi qonuniyatlarini raqamli modellashtirish uchun Claude yordamida sof JavaScript va HTML5 Canvas dvigateli kodi generatsiya qilinadi:

📐 Yadro fizikasining fundamental formulalari:

1. Radioaktiv yemirilish qonuni:
$$N(t) = N_0 e^{-\lambda t} = N_0 2^{-t/T_{1/2}}, \quad A(t) = \lambda N(t)$$ 2. Mass-defekt va bog‘lanish energiyasi:
$$\Delta m = [Z m_p + (A-Z)m_n] - M_{\text{yadro}}, \quad E_{\text{bog‘}} = \Delta m c^2$$
3. Uran-235 bo‘linish zanjirli reaksiyasi:
$$^{235}_{92}\text{U} + ^{1}_0n \rightarrow ^{141}_{56}\text{Ba} + ^{92}_{36}\text{Kr} + 3 ^{1}_0n + 200\text{ MeV}$$ 4. D-T termoyadroviy sintez:
$$^{2}_{1}\text{H} + ^{3}_{1}\text{H} \rightarrow ^{4}_{2}\text{He} + ^{1}_{0}n + 17.6\text{ MeV}$$
// ============================================================================
// 15-ma’ruza: Claude Yadro Fizikasi va Zanjirli Reaksiya Dvigateli
// ============================================================================

// 1. Stoxastik Monte-Karlo Radioaktiv Yemirilish Integratori
function simulateRadioactiveDecay(nuclei, lambda, dt) {
  const prob = 1 - Math.exp(-lambda * dt);
  let decayedCount = 0;
  for (let n of nuclei) {
    if (n.state === 'active' && Math.random() < prob) {
      n.state = 'decayed';
      decayedCount++;
    }
  }
  return { decayedCount, remaining: nuclei.filter(n => n.state === 'active').length };
}

// 2. Uran-235 Zanjirli Bo‘linishi va Neytronlar Dinamikasi
function updateFissionChainReaction(nuclei, neutrons, controlRodDepth, dt) {
  let energyYield = 0;
  for (let i = neutrons.length - 1; i >= 0; i--) {
    const n = neutrons[i];
    n.x += n.vx * dt;
    n.y += n.vy * dt;
    n.life -= dt;

    // Boshqaruv sterjeni yutishi (Kadmiy / Bor)
    if (Math.abs(n.x - 290) < 16 && n.y < 30 + 220 * controlRodDepth) {
      n.life = 0;
    }

    // Uran-235 yadrosi bilan to'qnashuv
    for (let nucl of nuclei) {
      if (nucl.state === 'stable' && Math.hypot(n.x - nucl.x, n.y - nucl.y) < nucl.r + 4) {
        nucl.state = 'fissioned';
        energyYield += 200; // MeV
        // 3 ta yangi tezkor neytron ajralishi
        for (let k = 0; k < 3; k++) {
          const a = Math.random() * Math.PI * 2;
          neutrons.push({ x: nucl.x, y: nucl.y, vx: Math.cos(a)*180, vy: Math.sin(a)*180, life: 6.0 });
        }
        n.life = 0;
        break;
      }
    }
    if (n.life <= 0) neutrons.splice(i, 1);
  }
  return { energyYield, neutronCount: neutrons.length };
}
🌐 WWW Ilmiy-Uslubiy Manbalar va Yadroviy Modellashtirish Asosi (3-Bo‘lim):

Metropolis, N., va Ulam, S. (1949). The Monte Carlo Method. Journal of the American Statistical Association, 44(247), 335–341. https://doi.org/10.1080/01621459.1949.10483310
Manba mazmuni: Monte-Karlo usulining asos soluvchi maqolasi: tasodifiy sonlar yordamida neytronlar ko‘payishi kabi stoxastik jarayonlarni statistik modellashtirish. Yuqoridagi simulateRadioactiveDecay va updateFissionChainReaction funksiyalari aynan shu yondashuvga asoslangan.

4. Jarayon monitoringi: Google Antigravity

Conservation laws, baryon number va energy-mass audit

Yadro reaksiyalari modellashtirilganda hisoblash diskretizatsiyasi hisobiga barion va lepton zaryadlari buzilishi, mass-defekt energiyasida dreyf paydo bo‘lishi mumkin. Google Antigravity monitoring agenti simulyatsiya aniqligini nazorat qiladi:

1. Barion va lepton balansi:
Reaksiyadan oldingi va keyingi nuklonlar soni $\sum A_{\text{bosh}} = \sum A_{\text{oxir}} = 236$ aniqligi 100% saqlanadi.
2. Elektr zaryadi saqlanishi:
Protonlar zaryadi balansi $\sum Z_{\text{bosh}} = \sum Z_{\text{oxir}} = 92$ qat’iy nazorat qilinadi.
3. Energiya-massa ekvivalentligi:
Ajralib chiqayotgan $Q = \Delta m c^2$ energiyaning nazariy qiymatdan dreyfi $|\Delta E / E_0| < 0.0001\%$ darajasida saqlanadi.
[ANTIGRAVITY-AGENT] >> Initializing Nuclear Physics va Capstone Pipeline Telemetry...
[AUDIT: BARYON-NUMBER] Initial A=236 (U-235+n) -> Final A=141(Ba) + 92(Kr) + 3(n) = 236 -> [CONSERVED 100%]
[AUDIT: CHARGE-BALANCE] Initial Z=92 -> Final Z=56(Ba) + 36(Kr) = 92 -> [CONSERVED 100%]
[ENERGY-AUDIT] Fission Mass Defect: Δm = 0.1860 u -> Prompt Q = 173.3 MeV (+ fragment β/γ decays ≈ 200 MeV total) -> [DRIFT 0.0000%]
[CONTROL-ROD-CHECK] Rod Depth: 20% | Multiplication Factor k = 1.000 -> [STEADY CRITICAL REGIME]
[STATUS] ALL NUCLEAR DIAGNOSTIC CHECKS PASSED WITH 0 DRIFT ERRORS.
🌐 WWW Ilmiy-Uslubiy Manbalar va Loyiha Monitoringi Asosi (4-Bo‘lim):

Halliday, D., Resnick, R., va Walker, J. (2018). Fundamentals of Physics (11th ed.). Wiley.
Manba mazmuni: 42-bob (Nuclear Physics) va 43-bob (Energy from the Nucleus): yadro reaksiyalarida massa soni $A$ va zaryad soni $Z$ saqlanishi, $Q = \Delta m c^2$ energiya balansi hamda reaktorning ko‘payish koeffitsiyenti $k$ — telemetriya auditidagi tekshiruvlarning nazariy asosi.

5. Baholash rubrikalari: MagicSchool AI

100 ballik yakuniy loyiha (Capstone) baholash rubrikasi

Yakuniy Mustaqil Loyiha (Capstone Project)ni xolis, shaffof va standartlashtirilgan tarzda baholash uchun MagicSchool AI yordamida 5 ta mezonli 100 ballik kompleks rubrika ishlab chiqildi:

Baholash mezoni Maks. Ball A’lo (86-100%) Yaxshi (71-85%) Qoniqarli (55-70%)
1. Fizik Adekvatlik va Matematik Aniqlik 25 ball Differensial tenglamalar, saqlanish qonunlari va mass-defekt formulalari xatosiz modellashtirilgan. Formulalarda kichik noaniqlik bor, lekin asosiy dinamika to‘g‘ri. Statik formulalar kiritilgan, differensial hisob yo‘q.
2. Kod Arxitekturasi va Interaktivlik 20 ball Modulli sof JavaScript kodi, 60 FPS, to‘liq interaktiv slayderlar va sichqoncha bilan boshqaruv. Kod barqaror ishlaydi, biroq ayrim boshqaruv tugmalarida kechikish bor. Slayderlar cheklangan, interaktivlik past.
3. Multimodal Ovoz va Vizual Dizayn 20 ball Muxlisa AI / ElevenLabs audio-narratsiyasi, spektrogramma va qorong‘u rejimli zamonaviy UI. Ovoz mavjud, lekin animatsiya bilan to‘liq sinxronlashmagan. Faqat matnli izohlar bor, audio sintez yo‘q.
4. Telemetriya va Saqlanish Qonunlari Auditi 15 ball Google Antigravity monitoringi: barion soni, energiya dreyfi doimiy auditda. Telemetriya ko‘rsatkichlari bor, lekin saqlanish balansi to‘liq emas. Telemetriya mavjud emas.
5. Ilmiy Himoya va Raqamli Portfolio 20 ball Otter.ai transkripsiyasi, to‘liq portfolio pasporti va Undetectable AI originallik sertifikati. Portfolio tayyorlangan, ammo ilmiy atamalar izohi yetarli emas. Qisqa hisobot bilan cheklangan.
🌐 WWW Ilmiy-Uslubiy Manbalar va Baholash Rubrikasi Asosi (5-Bo‘lim):

Black, P., va Wiliam, D. (2009). Developing the Theory of Formative Assessment. Educational Assessment, Evaluation and Accountability, 21(1), 5–31. https://doi.org/10.1007/s11092-008-9068-5
Manba mazmuni: Shakllantiruvchi baholashning besh asosiy strategiyasi, jumladan o‘quv maqsadlari va muvaffaqiyat mezonlarini talabaga oldindan aniq tushuntirish — Capstone rubrikasini himoyadan oldin e’lon qilishning nazariy asosi.

6. Capstone mustaqil loyiha metodologiyasi va Undetectable AI

7 ta AI vositali to‘liq pipeline va akademik halollik

15-Ma’ruzaning eng muhim qismi — Yakuniy Mustaqil Loyiha (Capstone Project) metodologiyasidir. Har bir talaba o‘quv dasturida o‘qitilmagan yangi fizik jarayonni tanlab, 7 ta sun’iy intellekt vositasi yordamida to‘liq mustaqil simulyatsion veb-sahifasini yaratadi:

🚀 7 Bosqichli yaxlit AI pipeline hayotiy sikli:

  1. MagicSchool AI: Mavzu diagnostikasi va individual reja tuzish.
  2. PhET / Vascak.cz: Mavjud ilmiy laboratoriyani dekonstruksiya qilish.
  3. Claude: Sof JavaScript fizik dvigatel kodini generatsiya qilish.
  4. Google Antigravity: Real vaqt telemetriyasi va energiya saqlanishini audit qilish.
  5. Muxlisa AI / ElevenLabs: O‘zbek neyron TTS ovozli ilmiy tushuntirishni sinxronlash.
  6. Otter.ai: Himoya nutqi transkripsiyasi va raqamli portfolio pasporti.
  7. Undetectable AI: Matn originalligini tekshirish va akademik halollikni tasdiqlash.

🛡️ Undetectable AI va akademik halollik nazorati:

• Majburiy talab: Talaba AI yozgan umumiy matnlarni o‘zining shaxsiy virtual tajriba o‘lchovlari, formulalari va tahlillari bilan boyitishi shart.
• AI detektor filtrlari: Loyiha hisoboti Undetectable AI, Turnitin AI va GPTZero orqali tekshiriladi. Mustaqil mualliflik ulushi 85%+ bo‘lishi talab etiladi; biroq detektor natijasi yagona dalil emas — loyiha jarayoni (kod tarixi, qoralamalar, himoya nutqi) ham baholanadi.
• Plagiatga qarshi: Qo‘llanilgan barcha ilmiy manbalar va AI vositalariga APA 7 standarti bo‘yicha havola keltiriladi.
• Muhim eslatma: Undetectable AI xizmati asosan AI-matnni "insoniylashtirish" (detektorlarni chetlab o‘tish) vositasi sifatida tanilgan. Loyihada undan faqat AI-detektor moduli sifatida foydalaniladi; hisobot matnini "humanizer" orqali qayta yozdirish akademik halollikni buzish hisoblanadi.

🌐 WWW Ilmiy-Uslubiy Manbalar va Akademik Halollik Asosi (6-Bo‘lim):

Weber-Wulff, D., Anohina-Naumeca, A., Bjelobaba, S., Foltýnek, T., Guerrero-Dib, J., Popoola, O., Šigut, P., va Waddington, L. (2023). Testing of Detection Tools for AI-Generated Text. International Journal for Educational Integrity, 19, Article 26. https://doi.org/10.1007/s40979-023-00146-z
Manba mazmuni: 14 ta AI-detektor (jumladan Turnitin) sinovdan o‘tkazilgan: vositalar na aniq, na ishonchli ekani, matnni qayta ifodalash (obfuscation) esa aniqlikni keskin pasaytirishi ko‘rsatilgan. Shu sababli detektor foizi akademik halollikning yagona dalili sifatida qabul qilinmaydi.

Cotton, D. R. E., Cotton, P. A., va Shipway, J. R. (2024). Chatting and Cheating: Ensuring Academic Integrity in the Era of ChatGPT. Innovations in Education and Teaching International, 61(2), 228–239. https://doi.org/10.1080/14703297.2023.2190148
Manba mazmuni: Generativ AI davrida akademik halollikni ta’minlash strategiyalari: aniq qoidalar, jarayonga yo‘naltirilgan topshiriqlar va og‘zaki himoya.

7. Interaktiv simulyator sandbox, diagnostik test va manbalar

HTML5 Canvas, Nuclear Reactor va APA 7th bibliography

Quyidagi laboratoriyada siz Radioaktiv yemirilish, Uran-235 zanjirli bo‘linishi, Termoyadroviy sintez (Tokamak) va Yakuniy loyiha (Capstone) monitoring konsoli sinxron ishlashini mustaqil boshqarishingiz mumkin!

3D Eksperiment Rejimi:
💡 3D Boshqaruv: Sichqoncha bilan 360° aylantiring va g‘ildirak bilan masshtablang!
Ajralgan Energiya
0 MeV
Koeffitsiyent (k)
1.05
U-235 Yadrolari
52 ta
Erkin Neytronlar
2 ta

🎮 1. Asosiy 3D maydon: yadro reaktori va tokamak plazmasi:

💡 3D fazoviy rejim: sichqoncha yoki sensor bilan 360° erkin aylantiring, g‘ildirak orqali yaqinlashtiring.

📊 2. Real vaqtdagi energiya va yemirilish grafigi:

Grafik: eksponensial yemirilish egri chizig‘i $N(t)$ va energiya oqimi.
🌐 Jonli virtual laboratoriyalar

PhET va Vascak.cz yadro fizikasi xabi

🔗 Yangi Oynada Ochish
🧪 PhET Interactive Simulations (HTML5):
🔄 Vascak.cz Yadro Fizikasi (O‘zbek tilida, Reklamasiz HTML5) va Portal Simulyatsiyasi:

☢️ PhET Interactive Simulations: Build a Nucleus (atom yadrosi sintezi va bog‘lanish)

Atom yadrosining proton va neytronlardan tuzilishi, nuklidlar xaritasidagi barqarorlik yo‘lagi (Band of Stability), bog‘lanish energiyasi va radioaktiv yemirilish/bo‘linish chegaralarini o‘rganish.

$$E_b = [Z m_p + (A-Z) m_n - M(A,Z)] c^2 = \Delta m c^2, \quad ^{235}_{92}\text{U} + n \rightarrow \text{Bo‘linish}$$
  • 1. Proton va neytronlarni qo‘shib, barqaror va radioaktiv beqaror izotoplar hosil bo‘lishini kuzating.
  • 2. Yadroning solishtirma bog‘lanish energiyasi $E_b / A$ ning massa soniga bog‘liqligini tahlil qiling.
  • 3. Zanjirli yadro bo‘linishi va sintezi reaksiyalarining energetik yutug‘ini baholang.

🧠 15-ma’ruza diagnostik testi (3 ta kognitiv savol):

1-Savol: Radioaktiv yemirilish qonuniga ko‘ra, $t = 2 T_{1/2}$ vaqt o‘tgach, boshlang‘ich yadrolarning necha foizi yemirilib ulguradi?
2-Savol: Yadro reaktorida zanjirli reaksiya barqaror (turg‘un kritik rejimda) kechishi uchun neytronlarning ko‘payish koeffitsiyenti $k$ nechaga teng bo‘lishi shart?
3-Savol: Capstone mustaqil loyihasida Undetectable AI va akademik halollik talabiga ko‘ra, talabaning shaxsiy mualliflik ulushi kamida necha foiz bo‘lishi shart?

📚 15-ma’ruza bo‘yicha nufuzli ilmiy va didaktik manbalar (APA 7th Edition):

  1. Krane, K. S. (1988). Introductory Nuclear Physics. John Wiley va Sons.
  2. Lamarsh, J. R., va Baratta, A. J. (2001). Introduction to Nuclear Engineering (3rd ed.). Prentice Hall.
  3. Chen, F. F. (2016). Introduction to Plasma Physics and Controlled Fusion (3rd ed.). Springer. https://doi.org/10.1007/978-3-319-22309-4
  4. Griffiths, D. J., va Schroeter, D. F. (2018). Introduction to Quantum Mechanics (3rd ed.). Cambridge University Press. https://doi.org/10.1017/9781316995433
  5. Halliday, D., Resnick, R., va Walker, J. (2018). Fundamentals of Physics (11th ed.). Wiley.
  6. Feynman, R. P., Leighton, R. B., va Sands, M. (2011). The Feynman Lectures on Physics (New millennium ed., Vols. I va III). Basic Books. https://www.feynmanlectures.caltech.edu
  7. Einstein, A. (1905). Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig? Annalen der Physik, 18(13), 639–641. https://doi.org/10.1002/andp.19053231314
  8. Metropolis, N., va Ulam, S. (1949). The Monte Carlo Method. Journal of the American Statistical Association, 44(247), 335–341. https://doi.org/10.1080/01621459.1949.10483310
  9. Wieman, C. E., Adams, W. K., va Perkins, K. K. (2008). PhET: Simulations That Enhance Learning. Science, 322(5902), 682–683. https://doi.org/10.1126/science.1161948
  10. PhET Interactive Simulations. (n.d.). Build a Nucleus [HTML5 simulyatsiya]. University of Colorado Boulder. https://phet.colorado.edu/en/simulations/build-a-nucleus
  11. Vaščák, V. (n.d.). Physics Animations/Simulations: Nuclear Physics [HTML5 animatsiyalar]. Vascak.cz. https://www.vascak.cz/physicsanimations.php (saytda reklama bor, shuning uchun bu yerda havola berilmagan)
  12. de Jong, T., Linn, M. C., va Zacharia, Z. C. (2013). Physical and Virtual Laboratories in Science and Engineering Education. Science, 340(6130), 305–308. https://doi.org/10.1126/science.1230579
  13. Rutten, N., van Joolingen, W. R., va van der Veen, J. T. (2012). The Learning Effects of Computer Simulations in Science Education. Computers va Education, 58(1), 136–153. https://doi.org/10.1016/j.compedu.2011.07.017
  14. Mayer, R. E. (2020). Multimedia Learning (3rd ed.). Cambridge University Press. https://doi.org/10.1017/9781316941355
  15. Sweller, J., van Merriënboer, J. J. G., va Paas, F. (2019). Cognitive Architecture and Instructional Design: 20 Years Later. Educational Psychology Review, 31(2), 261–292. https://doi.org/10.1007/s10648-019-09465-5
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