Israel has become the fastest growing economy and technological powerhouse after 50 years of its establishment, because country's has a tremendous combination of the educational and scientific infrastructure with the country's most pressing problems unexpectedly made for a creative synthesis which set development into motion. Here, we are giving list of Inventions and Discoveries by Israel in areas like Mathematics, Robotics, Chemistry, Physics, Optics, Economics, Biotechnology, computer science, Computing & Computer hardware, and arms and ammunition for Defence for general awareness.

**1. Johnson–Lindenstrauss lemma**

Given by: Joram Lindenstrauss

**2. Measurement of rigidity **

Given by: Elon Lindenstrauss

**3. Proof of Szemeredi's theorem**

Solved by: Hillel Furstenberg

**4. Expansion of axiomatic set theory and the ZF set theory **

Given by: Abraham Fraenkel.

**5. Area of automorphic forms and L-functions**

Given by: Ilya Piatetski-Shapiro

**6. Sauer–Shelah lemma and Shelah cardinal**

**Given by:** Norbert Sauer and Saharon Shelah

**7. Zig-zag product of graphs**

Given by: Avi Wigderson

**8. Bernstein–Sato polynomial and proof of the Kazhdan–Lusztig conjectures**

Given by: Joseph Bernstein

**9. Amitsur–Levitzki theorem **

Given by: Shimshon Amitsur

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**10. ReWalk **

Manufacturer: ReWalk Robotics

**11. Robotic guidance system for spine surgery **

Given by: Mazor Robotics

**12. Model of quasicrystals**

Discovered by: Nobel Prize winner Dan Shechtman of the Technion

**13. Role of protein Ubiquitin **

Discovered by: Avram Hershko and Aaron Ciechanover of the Technion Institute (together with the American biologist Irwin Rose)

**13. Multiscale models for complex chemical systems **

Discovered by: Arieh Warshel and Michael Levitt of the Weizmann Institute of Science

**14. Eshkol-Wachman Movement Notation**

Developed by: Noa Eshkol and Avraham Wachman

**15. Prediction of Quarks **

Discovered by: Yuval Ne'eman of Tel Aviv University (together with the American physicist Murray Gell-Mann)

**16. Aharonov–Bohm effect **

Discovered by: Yakir Aharonov and David Bohm

**17. Formulation of Black holes Entropy**

Given by: Jacob Bekenstein

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**17. World's smallest video camera – a camera with a 0.99 mm**

Designed by: Medigus

**18. The Pillcam**

Developed by: Given Imaging

**19. Explanation of irrational human economic choices**

Explained by: Daniel Kahneman and Amos Tversky

**20. Game theory**

Given by: Israel Aumann of the Hebrew University of Jerusalem

**21. Rubinstein bargaining model**

Given by: Ariel Rubinstein

**22. Nanowire**

Developed by: Uri Sivan, Erez Braun and Yoav Eichen from the Technion

**23. World's smallest DNA computing machine system **

Developed by: Weizmann Institute of Science by Professor Ehud Shapiro and his team

**24. Concept of nondeterministic finite automatons**

Introduced by: Michael O. Rabin

**25. Temporal logic into computing science**

Introduced by: Amir Pnueli

**26. Lempel–Ziv–Welch algorithm **

Explained by: Abraham Lempel and Jacob Ziv of the Technion institute, Terry Welch (American Information theorist)

**27. RSA public key encryption**

Introduced by: Adi Shamir with Ron Rivest, and Leonard Adleman

**28. Differential cryptanalysis**

Invented by: Adi Shamir

**29. Intel 8088 - the first PC CPU from IBM**

Designed by: Israel at Intel's Haifa laboratory

**30. Quicktionary Electronic dictionary **

Developed by: Wizcom Technologies Ltd

**31. Laser Keyboard**

Developed by: Israeli company Lumio and Silicon Valley start-up company Canesta

**32. TDMoIP (TDM over IP) ****−**** in telecommunications, the emulation of time-division m****ultiplexing (TDM) over a packet switched network (PSN)**

Developed by: Engineers at RAD Data Communications

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**33. Babylon**

Developed by: Amnon Ovadia

**34. ICQ (Instant Messaging software) **

Developed by: Initially in 1996 by the Israeli company Mirabilis and later procured by AOL

**35. Viber**

Developed by: American-Israeli entrepreneur Talmon Marco

**36. GetTaxi**

Founded by: Israeli entrepreneurs Shahar Waiser and Roi More

**37. Waze**

Founded by: Uri Levine, software engineer Ehud Shabtai and Amir Shinar

**38. IMI Tavor TAR-21**

**39. IMI Tavor TAR-21**

**40. Uzi submachine gun **

Developed by: Maj. Uziel Gal

**41. Python (Short-range air-to-air missile)**

**42. Desert Eagle (short range pistol)**

**43. Protector USV (Unmanned Surface Vehicle)**

Developed by: Rafael Advanced Defence Systems

**44. Iron Dome **

Development by: Rafael Advanced Defence Systems and Israel Aircraft Industries

**45. MUSIC (Multi Spectral Infrared Countermeasure)**

Manufactured by: Elbit Systems

**46. MagnoShocker**

Developed by: Mathematician Amit Weissman and his colleagues Adir Kahn and Zvi Jordan

**47. Wall radar**

Developed by: Israeli company Camro

**48. Injured Personnel Carrier on YouTube**

Developed by: Israeli company Agilite Gear

**49. Emergency Bandage**

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**50. Golden hamster**

**51. Hybrid cucumber seeds**

Developed by: Prof. Esra Galun of the Weizmann Institute

**52. Grain cocoons**

Invented by: international food technology consultant Professor Shlomo Navarro

**53. Biological pest control **

Invented by: Company called Bio-Bee

**54. AKOL **

Invented by: Kibbutz-based Company

**55. Reusable plastic trays**

Invented by: Tal-Ya Water Technologies

**56. Zero-discharge system**

Invented by: Israeli GFA Company

**57. TraitUP**

Developed by: Hebrew University agricultural scientists Ilan Sela and Haim D. Rabinowitch

**58. Judean date palm**

Characteristics: oldest seed ever to be revived, restoring an extinct cultivar

**59. Tomaccio cherry tomato**

Developed by: Professor Nahum Keidar and Professor Chaim Rabinovitch

**60. Super iron battery**

Developed by: Stuart Licht

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**Consumer goods and appliances**

**61. Epilator (Epilady)**

Manufactured at: Kibbutz HaGoshrim

**62. Micronized coating instant hot water pipes**

Developed by: A.C.T

In the above list of Inventions and Discoveries by Israel shows the fertility of Israeli mind that makes hotspot of high-tech entrepreneurship rivalling.

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