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Tag Archive for: General

Velocity Time Function

Revisiting the Velocity-Time Function

May 24, 2026
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0 Comments
Kinematics: The Velocity-Time FunctionAuthor's Preface: A Collaborative Approach to Lesson Development The intention behind what I hope will be…
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gate system

Remote Operated Gate Control System

February 28, 2026
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0 Comments
Introduction This project began life in 2017 when the author had just begun experimentation with GPIO pins on a Raspberry Pi 3. At that point in time…
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Inside the Scientific Box: History and Challenges Today

October 13, 2025
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1 Comment
In Memoriam In Memory of Dr. Thomas J. LeCompte (1964-2025), Detector Designer and Champion of Education and Science. Prologue Defining "the box" Someone…
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digital audio guide

Hybrid AI Video Codecs and Modern Streaming Techniques

January 24, 2025
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0 Comments
Introduction AI and Hybrid Codecs Modern Video codecs are all based on similar principles. Recently, these have been complemented by AI techniques,…
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infinity

Why Division by Zero Is Impossible: 10 Mathematical Reasons

January 11, 2024
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33 Comments
A division by zero is primarily an algebraic question. The reasoning therefore follows the indirect pattern of most algebraic proofs:What if it was…
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digital audio intro

Modern DACs, Dither, DXD & High-Res Audio Explained

December 11, 2023
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0 Comments
Introduction First, we need some background in Digital Signals. This can be mathematically quite advanced, but since I would like this article to be accessible…
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Milli-Ohm

The Poor Man’s Milli-Ohm Meter

September 1, 2023
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0 Comments
Introduction In a previous article on measuring battery internal resistance, a simple technique for low-resistance measurement was outlined. In this article,…
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calc precalc

Beginners Guide to Precalculus, Calculus and Infinitesimals

August 18, 2023
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3 Comments
Introduction I am convinced students learn Calculus far too late.   In my view, there has never been a good reason for this.In the US, they go through…
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chatgpt-reliable

Why ChatGPT Is Unreliable: Design Limits and Misconceptions

July 5, 2023
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138 Comments
ChatGPT's reliability I'll start with the simple fact: ChatGPT is not a reliable answerer to questions. Wolfram's explanation To try to explain why from…
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Infinitesimals

What Are Infinitesimals – Simple Version

June 4, 2023
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5 Comments
Introduction When I learned calculus, the intuitive idea of infinitesimal was used. These are real numbers so small that, for all practical purposes (say…
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Carl Sagan

Popular Science Communication: Bridging Science & Public

April 30, 2023
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19 Comments
Abstract Famous Science Communicators There is so much to say about the many endeavors by professional scientists to explain to us the world. The list…
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teaching physics

A Lesson In Teaching Physics: You Can’t Give It Away

March 16, 2023
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1 Comment
A central principle of Physics Forums regarding homework help is not to provide solutions on demand but to guide students along a path to the answer. The…
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math classifications

Mathematics Fields & Applications: A Structured Guide

October 25, 2022
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0 Comments
Introduction I often read questions about our classification scheme that we use on physicsforums.com to sort posts by science fields and subjects, what…
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ATmega8A

Program ATmega8A with Arduino: Step-by-Step Guide

August 13, 2022
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2 Comments
Introduction If you are interested in programming and electronics, you probably do not need an introduction to Arduino. If you want to make your Arduino…
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quantum computers 101

Quantum Computing Explained: Qubits, Algorithms & Applications

July 14, 2022
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5 Comments
Overview This article provides an accessible introduction to quantum computing, a cutting-edge technology that processes certain types of information…
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why can we jump

How Can We Jump When the Ground Does No Work?

May 30, 2022
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20 Comments
Common mistaken argument It is relatively common on Physics Forums to see arguments that are effectively similar to the following: When we jump off the…
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trig special functions

A Trick to Memorizing Trig Special Angle Values Table

January 1, 2022
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3 Comments
In calculus classes when you are asked to evaluate a trig function at a specific angle, it's 99.9% of the time at one of the so-called special angles we…
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setup raspberry pi cluster

Raspberry Pi Cluster Guide: Parts, MPI & Slurm Tips

December 22, 2021
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9 Comments
INTRODUCTION As a long-time computer programmer and almost as long a High-Performance Computer (HPC) user, I didn't know anything about how these machines…
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tan rule

Physical Applications of the “Tan Rule”

September 20, 2021
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0 Comments
Introduction Every secondary school student who has encountered trigonometry in his/her Math syllabus will most likely have come across the sine, cosine,…
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quantum double slit experiment

Quantum Mechanics and the Famous Double-slit Experiment

July 1, 2021
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0 Comments
Double-slit Key PointsQuantum mechanics is known for its strangeness, including phenomena like wave–particle duality, which allows particles to…
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safety

Safety Factors: Why Forums Avoid Design Advice Online

June 26, 2021
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7 Comments
Forum Guidelines There are often questions on Physics Forums related to building machines or structures that are left unanswered because of this guideline…
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LCEVC 8k tv

LCEVC and EVC: Efficient Video Encoding Guide for 8K

June 19, 2021
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4 Comments
Introduction Background: H.264 and H.265 First, for background, here is an overview of the most common video compression standard in use today, H264:…
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blackboard

10 Math Things We All Learnt Wrong At School

April 21, 2021
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10 Comments
Some of these could even lead to heavy debates within the scientific community, so maybe I should say: from my point of view. So before you get excited…
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valentines reflections graphs

Valentine’s Reflections: Mathematical Matters of the Heart

March 1, 2021
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4 Comments
Introduction Being a somewhat geeky Maths 'nerd', I spent days leading up to Valentine's Day trying to find a Maths function appropriate to the day. In…
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impossible triangles

Ambiguous SSA Case in Triangles — Law of Sines Explained

January 28, 2021
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0 Comments
What is the ambiguous case? In U.S. high schools, students are often introduced to geometric proofs for the first time. A common task is to use a small…
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equations of motion

Equations of Motion Revisited

January 11, 2021
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1 Comment
Introduction In any school Physics course, the Newtonian equations of motion are very much a 'stock' item. Students learn the equations and are given…
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projectile motion

How to Master Projectile Motion Without Quadratics

November 19, 2020
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6 Comments
Introduction In a homework thread a while back a PF member expressed dismay along the lines of "Oh no, not another boring projectile motion problem."…
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Learn the Math

I Know the Math Says so, but Is It Really True?

October 3, 2020
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104 Comments
I'm sure anyone who has hung out long enough here on Physics Forums has encountered threads that go something like this (I'll use an example based on threads…
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block universe time illusion

Does the Block Universe of Physics Mean Time is an Illusion?

September 28, 2020
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29 Comments
I have written many Insights (and coauthored an entire book) explaining how the puzzles, problems, and paradoxes of modern physics can be attributed to…
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artificial intelligence

AI and Learning: How It Impact Our Future

July 8, 2020
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0 Comments
PF Advisors: How AI Will Affect STEM — Part 3We asked our PF Advisors, "How do you see the rise in AI affecting STEM in the lab, classroom, industry,…
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artificial intelligence

How AI Is Changing STEM Labs, Classrooms & Industry

July 4, 2020
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0 Comments
We asked our PF Advisors: “How do you see the rise in A.I. affecting STEM in the lab, classroom, industry, or in everyday society?” We received so…
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artificial intelligence

How the Rise of AI Is Transforming STEM: Labs to Classrooms

July 1, 2020
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1 Comment
We asked our Physics Forums (PF) Advisors: "How do you see the rise of AI affecting STEM in the lab, classroom, industry, and everyday society?" We received…
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jrmichler engineer interview

Interview with Engineer jrmichler

June 24, 2020
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0 Comments
Today we get to know a little more about Engineering Mentor jrmichler! Tell us a bit about your education and academic years Two years college (UW-Madison)…
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Science Authority

How Non-Scientists Should Evaluate Scientific Claims

April 30, 2020
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66 Comments
How should non-scientists evaluate scientists' public claims? In a previous article, I discussed why scientists (among others) are rarely interested…
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Evidence for Big Bang

Big Bang Evidence: CMB, Redshift & Element Abundances

April 6, 2020
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2 Comments
Big Bang: Key PointsHubble's law (redshift of galaxies) and the Doppler effect provide direct evidence that the universe is expanding away from our…
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uranus spin

Why Uranus Spins on Its Side: Tilt, Theories, Models

March 24, 2020
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4 Comments
Uranus' Peculiar Tilt Uranus spins on its side. It has an obliquity (tilt) of 98° — its rotation axis lies closer to the ecliptic plane than any other…
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What is Evolution

Introduction to Evolution: Key Concepts & FAQs Guide

February 15, 2020
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1 Comment
Introduction to Evolution Overview The study of evolution has dominated biology for over a century. Explaining why life is the way it is fascinates both…
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mary Somerville

Mary Somerville: Scottish Polymath & RAS Honorary Member

February 2, 2020
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0 Comments
Mary Somerville & Caroline Herschel: Google DoodleGoogle Doodle: Mary Somerville and Caroline Herschel The Google Doodle for 2 February 2020 celebrated…
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perpetual motion machines

Why We Don’t Discuss Perpetual Motion Machines (PMM)

January 30, 2020
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12 Comments
Authorship Authorship Contributions From Anorlunda Introduction You may want to believe the article you read, or the video you saw, or you may be very…
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c++ guide for beginners

Beginner C++ Tutorial — Compiler, Types & I/O Basics

January 2, 2020
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0 Comments
ContentsGetting a C++ Compiler and Compiling Your First Program Simple Datatypes and Declarations Operators and Expressions Input and Output…
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how to identify wood

Tell One Wood from Another: Basic Wood Anatomy

December 20, 2019
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12 Comments
Introduction About the author As a long-time woodworker, I enjoy being able to tell one wood from another. In the process of learning how to do that,…
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grab bag science quiz

Grab Bag Science Quiz and Trivia

November 7, 2019
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16 Comments
Time to test your science knowledge with a fun 10 question quiz with random questions across all sciences. Difficulty is easy to medium. As always, post…
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SOHCAHTOA

SOHCAHTOA: Seemingly Simple, Conceivably Complex

October 31, 2019
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7 Comments
What is SOHCAHTOA SOHCAHTOA is a mnemonic acronym used in trigonometry to remember the relationships between the sides and angles of right triangles.…
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android rooting

Android Rooting & Magisk Guide: Systemless Root Tips

October 28, 2019
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9 Comments
Android Rooting & Magisk Guide: Systemless Root Tips Overview What you can learn from this article:What is meant by rooting an Android phone …
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bloatware android phones

Debloating Android Phones: Risks, Myths and Safe Tips

August 27, 2019
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2 Comments
What is bloatware? Stock firmware and preinstalled apps When you unbox a new phone, it comes with Android pre-installed by the manufacturer. This is…
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what if physics questions

How to Ask ‘What If’ Physics Questions: Avoiding Pitfalls

August 2, 2019
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5 Comments
Overview of "What If" Questions We receive many "what if" questions here on Physics Forums. This article explores three common types and offers suggestions…
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What is a linear equation

First-Order Linear Equation: Definition & Solutions

June 6, 2019
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0 Comments
Definition / Summary This article summarizes the first-order (linear) polynomial equation in one variable, its solution, and natural extensions to matrices…
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What are significant figures

Significant Figures: Rounding Rules & Examples for Science

June 4, 2019
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0 Comments
Definition / Summary Significant figures (commonly called "sig figs") are the digits in a number that are considered when rounding a value to reflect…
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Camera Lens Physics

Evaluate Camera Lens Performance Using an LCD Display

May 31, 2019
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2 Comments
Introduction I've done plenty of imaging performance testing on a variety of systems, from millimeter wave to UV. Until very recently, such testing required…
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What is a parabola

Parabola Explained: Properties, Equations & Practical Uses

May 5, 2019
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0 Comments
What is a Parabola? A parabola is a U-shaped curve that appears frequently in mathematics, physics and engineering. It is a conic section defined by a…
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Renewable Energy Power Grid

When Renewable Energy Meets Power Grid Operations

April 25, 2019
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55 Comments
Introduction The electric power industry faces much turmoil in the coming decades.  The business model of the electric utility company (public or private)…
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20 year tech predictions

Revolutionary Technologies and Discoveries in 20 Years

April 4, 2019
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10 Comments
Experts weigh in: Most revolutionary technologies and discoveries in the next 20 years We asked our Physics Forums science advisors, "What technology…
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create a universe story

How to Create a Universe: Instructions for an Apprentice God

March 12, 2019
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11 Comments
Preface (-: ##~~~## A fantasy to be read at leisure time ##~~~## :-)Background & Links Written October 7, 1999 to relax from the strains of…
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science major advice

Aiming High and Managing Distractions as Keys to Success for Science Majors

March 7, 2019
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2 Comments
Overview Over the years, I've noticed some distinct trends among the physics and chemistry majors I've mentored and worked with. Those with GPAs in…
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abacus introduction

Suanpan & Soroban: History, Design, and Usage Guide

January 19, 2019
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7 Comments
Introduction Overview Abacuses are commonly seen in ancient civilizations around the world as a convenient tool for simple calculations. In this article…
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Interview with Michio Kaku

Michio Kaku Interview — Peak Oil, String Theory & Space

December 26, 2018
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0 Comments
Don't forget to read Part 1 of this interview. Peak Oil and Future Energy Sources Professor Kaku, what do you think of "peak oil"? How serious is it,…
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Michio Kaku Interview

Michio Kaku Interview — Physics, String Theory & Future

December 25, 2018
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0 Comments
We are happy to present this archived interview with Dr. Michio Kaku, conducted in 2004. Michio Kaku is an American theoretical physicist, futurist, and…
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Magnetic Field Lines

Are Magnetic Field Lines Real?

November 30, 2018
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31 Comments
Introduction We recently had a question in the relativity forums that mentioned the behavior of magnetic field lines and reminded me of my confusion at…
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inventions

Inventions and Inventors Quiz and Trivia

November 5, 2018
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26 Comments
Time to test your inventions, inventors and patent knowledge. As always there is no prize, so try without Google. Post your score in the comment thread.…
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engineer anorlunda

Interview with Engineer Mentor anorlunda

October 10, 2018
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2 Comments
Tell us about your school years? Part of my story is sad but common. I was a poor student. I didn’t pay attention, and I never did homework even once;…
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bhobba physics interview

Interview with Physics Mentor bhobba

October 6, 2018
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2 Comments
Give us an executive summary on bhobba I was born in Toowong Brisbane Australia 17/11/1955, and was raised in suburbs around Toowong - Toowong itself,…
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Telescope Buying Guide

Beginner Telescope Guide: Choose the Right First Scope

September 12, 2018
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141 Comments
What telescope should a beginner buy? Overview for beginners People often ask what telescope an aspiring amateur astronomer should buy. There isn't a single…
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physics blogs

What Are Your Favorite Science or Math Blogs?

August 26, 2018
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7 Comments
We asked our PF Advisors to tell us what their favorite science or math blog is (other than PF Insights).We also have a physics blog list here.Here…
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whosaidwhat

Match the Scientist with the Story Quiz

July 31, 2018
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15 Comments
Among the most famous people are often geniuses. It's hard to tell whether this is the reason for the many anecdotes which are told about them, or whether…
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speed of sound

Direct Echo-Based Measurement of the Speed of Sound

June 28, 2018
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42 Comments
Figure 1: Distance vs. time a firecracker report echoed off of a building at different distances on both a cold and a warm day.Introduction The…
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Niels_Tuning2

Interview: Niels Tuning — LHCb Run Coordinator at CERN

June 4, 2018
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2 Comments
Physics Forums is pleased to introduce Niels Tuning. He's a physicist working as the Run Coordinator for the LHCb experiment at CERN. Apart from the questions…
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What Academic Advice Would You Tell Your 18 Year Old Self?

May 27, 2018
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27 Comments
We asked our PF Advisors to tell us what academic advice would you tell your 18 year old self. Here are their responses… PF Advisors' Academic AdviceThanks…
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advisor_textbooks

What’s Your Most Memorable Textbook?

April 20, 2018
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13 Comments
We asked our PF Advisors to tell us their most memorable or influential textbook and why. Here are their responses... PF Advisors' Favorite TextbooksThanks…
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bizarro univerise

Lessons From the Bizzaro Universe

April 13, 2018
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23 Comments
The terms Bizarro and Bizarro World originated in Superman comics, where strangely imperfect versions of Superman, other action characters, and even Earth…
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adam_becker

Adam Becker — What Is Real? Quantum Foundations Explained

March 24, 2018
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134 Comments
Adam Becker is an astrophysicist and science writer whose first book, What Is Real?: The Unfinished Quest for the Meaning of Quantum Physics, has just…
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classicalphysics

Addressing the “Classical Physics Is Wrong” Fallacy

March 15, 2018
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186 Comments
Introduction One of the common questions or comments we get on PF is the claim that classical physics or classical mechanics (i.e. Newton's laws, etc.)…
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cliffordjohnson

Clifford V. Johnson: The Dialogues & Science Outreach

February 26, 2018
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7 Comments
Clifford V. Johnson is a professor in the Physics and Astronomy Department at USC. He says, "I mainly work on (super)string theory, gravity, gauge theory…
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Name the Science Book Author Quiz

February 4, 2018
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24 Comments
Let's see how well you know your science book authors. Some are classic, some modern! Don't forget to post your score in the comment thread linked at the…
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bb_infinity2

Intro to the Big Bang and Infinity Concepts

January 27, 2018
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34 Comments
In the cosmology section of the Physics Forums, I encountered many Big Bang and related infinity problems. Hence, in this article, I want to explain the…
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drak

Interview with a Mentor: Drakkith

January 17, 2018
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7 Comments
Give us an early bio on yourself Well, I was born and raised near Dallas, Texas as the only boy of 4 children. I grew up with 3 sisters, though I had…
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debatetips

3 Tips for Calmer, Civil Debate and Better Conversations

December 30, 2017
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20 Comments
Introduction Civil discussion and debate are critical to Physics Forums. But it is also important in everyday life. When arguments get overheated, people…
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textbook

The Birth of a Physics Textbook: An Author’s Journey

December 22, 2017
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73 Comments
 It is said that you should accomplish three things in life:Plant a tree. Have a child. Write a book.Out of the three, I have…
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workethic

Why Work Ethic Is a Key to Success for Science Majors

December 15, 2017
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25 Comments
Student Success and Key Factors After earning a 4.0 GPA in his first semester as a Physics major at an esteemed state university, our son (and homeschool…
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arnold

Arnold Neumaier Interview: QFT Foundations & Thermal

December 11, 2017
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39 Comments
Please give us a brief background on yourself Over 40 years ago, I studied mathematics, physics and computer science in Freiburg and Berlin (Germany).…
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unitsworkforyou

How to Make Units of Measurement Work for You

December 1, 2017
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13 Comments
How do we use units? You may see one of these speed limit signs, nearly every day. Even though neither of them displays units, drivers know they are implied.…
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10mathtips

Exam Tips & Test Strategies: Practical Study Techniques

October 9, 2017
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25 Comments
Managing Exam Stress Exam situations are always situations of stress. It comes with our endeavor to be as good as possible and our fear of failure. Some…
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solarimaging

Solar System Imaging: Telescope, Camera & Filters Guide

October 4, 2017
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4 Comments
Introduction Some of the most visible features in our sky are solar system objects: the Sun, the Moon, and the planets. These objects are generally much…
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15 of the Best PF 2017 Eclipse Photos

August 24, 2017
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69 Comments
The 2017 August Eclipse really was something special. Fortunately Physics Forums has great photographers and snapped some remarkable shots. Here are a…
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jimbiology

From Biology to Sysadmin: Career Insights & Advice

June 7, 2017
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17 Comments
Interview: From Biology to Programming, Sysadmin, and Life in New Mexico What got you interested in biology? I was an amateur naturalist as a kid. I…
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name_the_scientist

Name the Scientist Quiz and Trivia

May 23, 2017
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27 Comments
Time to test your scientist photo recognition skills! As always please post your score in the comment thread at the end.Ready for your next quiz?…
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pamelagay

Pamela Gay Interview — Astronomy, Citizen Science & Outreach

May 16, 2017
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2 Comments
Please give us a bit of background into your educational and professional life. I'm a public school kid through and through. After going to the local…
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coldquestioning

How to Ask Questions Effectively and Avoid Cold Questions

April 27, 2017
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70 Comments
Common Questions We Receive We frequently get questions such as these:"What is energy?""What are Cooper Pairs?""What is conservation of momentum?"etc...etc. Why…
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processing

The Joy of Processing

April 18, 2017
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11 Comments
In the early days of the personal computer revolution, computers were small, simple, and easy to operate. It was always great fun to write BASIC games…
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physicslab

Revamping Undergraduate Introductory Physics Laboratory

April 8, 2017
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19 Comments
Introduction This is a compilation of my blog entry on this singular "project" to change the way we conduct the introductory physics laboratory in most…
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frasercain2

Q&A With Universe Today’s Astronomer Fraser Cain

April 7, 2017
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4 Comments
Video Q&A: Fraser Cain (Universe Today) Special thanks to Universe Today founder Fraser Cain for this fascinating video Q&A. All questions were…
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sabine1

Sabine Hossenfelder: Dark Matter, Gravity & LIGO Interview

March 26, 2017
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18 Comments
We are pleased to introduce Sabine Hossenfelder. Sabine is a theoretical physicist at the Frankfurt Institute for Advanced Studies. She also authors…
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cameralense

Ultra-Wide-Angle Lenses: Design, Use, and Guide

March 19, 2017
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7 Comments
Note, unless otherwise specified, all focal lengths are in terms of the 35mm image format. Overview: why ultra-wide-angle lenses matter Recently there…
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learned

Learning to Learn: Key Skill for Aspiring Physicists

March 10, 2017
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9 Comments
Context: The Question I Get Asked I mentioned in an earlier Insight what I think are the most important things you can learn by being on Physics Forums.…
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scavengerhunt2

PF Insight Scavenger Hunt 2

February 13, 2017
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4 Comments
We have an amazing count of over 320 Insights published at Physics Forums. Now we test to see how much you remember from some of them. If you need a hint…
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computerlanguages

Types of Computer Languages: From Machine to High-Level

February 9, 2017
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67 Comments
Introduction In this Insights Guide, the focus is entirely on types of languages, how they relate to what computers do, and how they are used by people.…
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experimenthistory

Ancient Experiments: Elijah, Psammetichus, Early Science

February 3, 2017
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11 Comments
Overview In this Insight, I'm going to talk about two of the first science experiments in recorded history. One was allegedly performed by the Prophet…
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boatramps

Real Research in Unexpected Places; Boat Ramps

February 1, 2017
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4 Comments
Read part 1 -Backyards, Barns, Bayous Air Force Academy appointment When I was offered a job at the Air Force Academy, it seemed like an opportunity to…
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geometrysimple

When Simple Geometry Unveils Deep Math

January 21, 2017
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27 Comments
Introduction It is a remarkable fact that consideration of very elementary concepts in geometry often leads quickly into deep and unexpected mathematical…
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nasa

NASA Quiz and Trivia: Test Your NASA Knowledge

January 13, 2017
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26 Comments
Since the mid 20th century NASA has been a force in aerospace research and programs. Let's find out just how much you know about it's history, programs…
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jimhardy

Jim Hardy: Nuclear Engineer — Energy Insights & Hobbies

January 6, 2017
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9 Comments
Give us a little background on Jim Hardy Born and raised in Miami, Florida, to parents with roots in Springfield, Missouri. So at heart I'm a small‑town…
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