jiji

[Mathematica @mathemetica]

Differential operators for vectors and scalars must incorporate the geometry of the coordinate system used.

The gradient of scalar function F, the divergence and curl of vector field f, and the Laplacian of F appear in Cartesian (x, y, z), cylindrical (r, θ, z), and spherical (ρ, θ, φ) coordinates with their respective unit vectors and scale factors such as 1/r and 1/(ρ sin θ).

These formulas support calculations in real-world scenarios such as determining fluid flow patterns inside cylindrical tubes for process engineering and electric potential distributions from spherical charges in electrostatics.

[Reygan Dionisio @ZahlenRMD]

Taylor Series

#sharingisthenewlearning

[Job Corner @JOBCORNER247]

30 Top Job Interview Questions With Perfect Answers

These Interview tips could be helpful to somebody out there so please share them.

#tips #interview

[Alok Pathak @1005Alok85200]

Learn AI for free directly from top companies.

1 - Anthropic:
https://t.co/uZ2v8qbdkD

2 - Google:
https://t.co/Y4cpwivR3q

3 - Meta:
https://t.co/12OIxNe2pa

4 - NVIDIA:
https://t.co/SkEVwFVo45

5 - Microsoft:
https://t.co/GwqITAxHHL

6 - OpenAI:
https://t.co/5vUkc146yj

7 - IBM:
https://t.co/LIiOtZWHJk

8 - AWS:
https://t.co/e5oRT6dPVi

9 - https://t.co/tCOyqZvYdD:
https://t.co/JUsjaicTAK

10 - Hugging Face:
https://t.co/CE9JyIFz5U

Comment "Learning" if you find this helpful.

Repost so others can take help.

Must bookmark for future reference.

[Dhanian 🗯️ @e_opore]

Backend Engineering Mastery Guide

If it is handling requests → APIs
If it is designing APIs → REST / GraphQL
If it is server-side development → Node.js / Java / Go
If it is database management → PostgreSQL / MySQL
If it is NoSQL data → MongoDB
If it is authentication → JWT / OAuth
If it is authorization → RBAC / Permissions
If it is caching → Redis
If it is background jobs → Queues & Workers
If it is messaging systems → Kafka / RabbitMQ
If it is file storage → S3
If it is scalability → Load Balancers
If it is performance → Query Optimization
If it is monitoring → Prometheus / Grafana
If it is logging → ELK Stack
If it is containerization → Docker
If it is orchestration → Kubernetes
If it is deployment → CI/CD Pipelines
If it is system reliability → Fault Tolerance + Resilience
If it is mastering backend engineering → build → scale → monitor → improve → repeat

Grab the Backend Engineering ebook: https://t.co/t9mqUuRbjx

[Dhanian 🗯️ @e_opore]

SYSTEM DESIGN ROADMAP 2026: COMPLETE LEARNING PATH
│
├── 1. Introduction to System Design
│ ├── What is system design
│ ├── Monolithic vs distributed systems
│ └── Scalability fundamentals
│
├── 2. Networking Basics
│ ├── HTTP, HTTPS, TCP/IP
│ ├── DNS and load balancing
│ └── Client-server architecture
│
├── 3. Databases
│ ├── SQL vs NoSQL databases
│ ├── Database replication and sharding
│ └── Indexing and query optimization
│
├── 4. Caching Systems
│ ├── Redis and Memcached
│ ├── Cache invalidation strategies
│ └── CDN fundamentals
│
├── 5. APIs & Communication
│ ├── REST APIs
│ ├── GraphQL and gRPC
│ └── WebSockets and real-time communication
│
├── 6. Scalability & Performance
│ ├── Horizontal vs vertical scaling
│ ├── Load balancers and reverse proxies
│ └── Performance optimization techniques
│
├── 7. Message Queues & Streaming
│ ├── Kafka and RabbitMQ
│ ├── Event-driven architecture
│ └── Asynchronous communication
│
├── 8. Microservices Architecture
│ ├── Service discovery
│ ├── API gateways
│ └── Inter-service communication
│
├── 9. Security & Reliability
│ ├── Authentication and authorization
│ ├── Rate limiting and encryption
│ └── Fault tolerance and disaster recovery
│
├── 10. Cloud & DevOps
│ ├── AWS, Azure, and Google Cloud
│ ├── Docker and Kubernetes
│ └── CI/CD pipelines
│
├── 11. Monitoring & Observability
│ ├── Logging systems
│ ├── Metrics and tracing
│ └── Monitoring with Prometheus and Grafana
│
├── 12. Real-World System Design
│ ├── Designing chat applications
│ ├── Designing video streaming systems
│ └── Designing scalable social media platforms
│
└── 13. Practice & Career Growth
├── System design interview preparation
├── Architecture case studies
└── Continuous learning and optimization

Recommended Ebook
→ Grab the Ultimate System Design Handbook
→ https://t.co/WIMretQFPE

[Dhanian 🗯️ @e_opore]

MASTERING SYSTEM DESIGN CHECKLIST FOR 2026

1 → Understand what system design is and why it matters
2 → Learn how large-scale systems differ from small apps
3 → Understand client-server architecture deeply
4 → Learn how the internet works (DNS → TCP → HTTP → HTTPS)
5 → Understand latency, throughput, and bandwidth
6 → Learn how requests flow through a system
7 → Understand stateless vs stateful architectures
8 → Design a simple scalable web application
9 → Learn how to break problems into components
10 → Think in systems, not just code

11 → Master API design (REST, GraphQL)
12 → Design clean and consistent endpoints
13 → Handle versioning and backward compatibility
14 → Understand authentication (JWT, OAuth, sessions)
15 → Implement authorization and access control
16 → Design rate limiting and throttling
17 → Handle errors and retries gracefully
18 → Use API gateways effectively
19 → Document APIs properly
20 → Secure APIs from common attacks
21 → Master database fundamentals
22 → Choose between SQL and NoSQL wisely
23 → Design scalable database schemas
24 → Understand indexing and query optimization
25 → Learn replication and sharding
26 → Handle transactions and consistency
27 → Understand CAP theorem
28 → Implement caching (Redis, Memcached)
29 → Design data partitioning strategies
30 → Optimize read vs write performance
31 → Learn load balancing strategies
32 → Understand horizontal vs vertical scaling
33 → Use CDNs for content delivery
34 → Learn message queues (Kafka, RabbitMQ, SQS)
35 → Build event-driven systems
36 → Implement background workers and jobs
37 → Design fault-tolerant systems
38 → Handle system failures gracefully
39 → Use circuit breakers and retries
40 → Design for high availability
41 → Understand microservices architecture
42 → Learn service communication patterns
43 → Implement service discovery
44 → Monitor systems (logs, metrics, tracing)
45 → Use centralized logging systems
46 → Learn containerization (Docker)
47 → Understand orchestration (Kubernetes basics)
48 → Design multi-region systems
49 → Practice real-world system design problems
50 → Communicate your design clearly in interviews

Grab the System Design Ebook:
https://t.co/WIMretQFPE

[avrl ☘ @avrldotdev]

System Design Talks 24 - Real Time Communication
[FAANG(Uber) SDE2 Interview]

Problem?
THOUSANDS of drivers are sending their GPS coordinates every second & THOUSANDS of riders need to see that car move smoothly on their map.
Do you use polling or WebSockets?

[Level Up Coding @LevelUpCoding_]

Learn system design with these 35 concepts:

1. Event-driven architecture: https://t.co/5vgAD2wJ61

2. gRPC: https://t.co/2shjriQa9k

3. Database types: https://t.co/yqHPxZJgDA

4. CAP theorem: https://t.co/FUNrQ6lsyH

5. Microservices: https://t.co/7W3w38s5nF

6. Sync vs Async: https://t.co/kgLTkRzsye

PS - if you want a structured path, get our FREE 142-page System Design Handbook when you join our free weekly newsletter → https://t.co/WTV0H4kkp2

7. ACID vs BASE: https://t.co/l2mdVSNLqT

8. Rate limiting: https://t.co/BHbpQdzRbK

9. JWT: https://t.co/7IsbabOMCB

10. Hashing vs encryption vs tokenization: https://t.co/yskm0i5Kc7

11. Idempotency: https://t.co/sGY9AEYIYF

12. Network protocols: https://t.co/PppArCVi80

13. Observability: https://t.co/H1ewSTKg0g

14. SSO (single sign-on): https://t.co/J5e6g0h30z

15. Change Data Capture (CDC): https://t.co/fpZnlYPzmD

16. REST APIs: https://t.co/OfsXzycxBf

17. CI/CD pipelines: https://t.co/jqxmbzfXwf

18. System design quality attributes: https://t.co/ozKy29UbBn

19. Bloom Filters: https://t.co/60hAzAOZFS

20. Health checks vs heartbeats: https://t.co/Cb05qsG5al

21. API gateway vs load balancer vs reverse proxy: https://t.co/FiODhLn3HJ

22. HTTPS: https://t.co/Y9H19Bo5me

23. Load balancing algorithms: https://t.co/kPbIWqmkDI

24. Database caching: https://t.co/GPQelMXSj6

25. API protocols: https://t.co/XUNY6sbyKx

26. CDN: https://t.co/lPKsBWuLfU

27. API Gateway: https://t.co/9teLLY7OY8

28. Message Queues: https://t.co/e5FyPqYMaT

29. Password storage & hashing: https://t.co/UHghcigQ0e

30. Service Discovery: https://t.co/Hs4ZchDhRV

31. Pub/Sub: https://t.co/bT6uWiev1J

32. Connection pooling: https://t.co/JV2OWUrBYP

33. Forward proxy vs reverse proxy: https://t.co/d0nywsmG27

34. Consistent hashing: https://t.co/6QjQq2LHtn

35. SQL vs NoSQL:https://t.co/J78gAicVVb

What else should be on the list?
What concepts would you like me to cover?

——

👋 PS: Get our free 142-page System Design Handbook when you join our free weekly newsletter.

Join 32,000+ engineers → https://t.co/zEtu3LZ8CU

——

♻️ Repost to help others learn system design.

➕ Follow LUC to become good at system design.

[Dhanian 🗯️ @e_opore]

If I had to start with backend engineering, I'd learn these concepts:

1. HTTP/HTTPS

2. TCP/IP

3. DNS

4. REST APIs

5. GraphQL

6. gRPC

7. API Design

8. CRUD Operations

9. Authentication

10. Authorization

11. Sessions & Cookies

12. JWT

13. OAuth

14. WebSockets

15. Server-Sent Events

16. Middleware

17. MVC Architecture

18. Layered Architecture

19. Clean Architecture

20. Microservices

21. Monolith

22. Serverless

23. Load Balancing

24. Reverse Proxy

25. Nginx

26. Caching

27. Redis

28. Memcached

29. Database Design

30. SQL

31. NoSQL

32. Indexing

33. Query Optimization

34. Transactions

35. ACID

36. CAP Theorem

37. Replication

38. Sharding

39. Connection Pooling

40. ORM

41. Data Validation

42. Serialization

43. Deserialization

44. Message Queues

45. Pub/Sub

46. Event-Driven Architecture

47. Background Jobs

48. Cron Jobs

49. Rate Limiting

50. Throttling

51. API Gateway

52. Service Discovery

53. Circuit Breaker

54. Retry Logic

55. Timeout

56. Fault Tolerance

57. Logging

58. Monitoring

59. Metrics

60. Tracing

61. Observability

62. Error Handling

63. Debugging

64. Testing

65. Unit Testing

66. Integration Testing

67. End-to-End Testing

68. CI/CD

69. Docker

70. Kubernetes

71. Containerization

72. Deployment Strategies

73. Blue-Green Deployment

74. Canary Releases

75. Feature Flags

76. Secrets Management

77. Environment Variables

78. Encryption

79. HTTPS/TLS

80. Security Best Practices

81. OWASP Top 10

82. Input Sanitization

83. CSRF

84. CORS

85. XSS

86. Data Compression

87. File Upload Handling

88. Streaming

89. CDN Integration

90. Storage Systems

91. Object Storage

92. Data Pipelines

93. ETL

94. Batch Processing

95. Stream Processing

96. Scalability

97. High Availability

98. Performance Optimization

(...and more concepts)

===

👋 PS - Want a detailed breakdown of each concept?

Read right now:

→ Get the Backend Engineering Ebook
Link: https://t.co/GuPlsGm9YF

===

💾 Save this for later & RT to help others learn backend engineering.

👤 Follow @e_opore + turn on notifications.

[jiji @jayji_handsome]

@tavannnnn_06 ไม่สนขนาด เอาแบบมีปุ่มๆไปเลย จั๊กจี้ปิ้55555

[No Context Cats @nocontextscats]

Doraemon

[jiji @jayji_handsome]

@gustkuss เด้งสู้สายตาจังคับ

[jiji @jayji_handsome]

หาสาวคุยเหงาๆคับ อยากโดนอ้อน😖🥺🥺

[jiji @jayji_handsome]

@sunmimomi มาม่ะเมี้ยวว😽