Claude Shannon, a genius, devised a rigorous and mathematical method to quantify the expected value of the information content associated with an event, which he termed "entropy." In this method, Shannon employed the base-2 logarithm to denote the number of bits needed for representation. By summing this logarithm with the respective probability for each outcome, … Continue reading Information Theory and Signal Processing

Particles rotation can be mathematically expressed by operator, hence introducing rotation operator, let's assume a minute variation on the identity operator then we derive the M has to satisfy The M Hermitian operator has to have determinant 1 and trace 0 to be special. So we find these Pauli matrices or spin operator (measuring spin … Continue reading Particle Physics 03 Rotation Operators, SU(3)xSU(2)xU(1)

About Angular Momentum and Spin at Quantum level. Math manipulation leads to L- and L+, they are the lowering and raising operators, respectively. The raising operator "L+" increases the quantum number associated with the z-component of angular momentum (m) by one unit, and the lowering operator "L-" decreases it by one unit. To illustrate, if … Continue reading Particle Physics 02

Series by DrPhysicsA about Particle physics, with a question how particles are created from field? particles are understood as excitations or 'ripples' in their corresponding quantum fields that pervade all of space. For instance, we can think of an electron field. When this field is calm or at its lowest energy state (called the "vacuum … Continue reading Particle Physics 01

The symmetry in electromagnetism is U(1) corresponds to the "charge" conservativism. The mathematic statement of charge conservation is From this equation, we can derive the continuity equation Now to study the action S Recall how this least(stationary) action principle leads to Klein Gorgon equation. Note the symmetry of L basically is equivalent to infinitesimal transformation … Continue reading Introducing Gauge Theory from Continuity Equation in Electromagnetism

The process of reducing the Bitcoin mining reward by half is called "halving" or "halvening," and it occurs approximately every four years. The halving is a predetermined event built into Bitcoin's protocol, and it plays a crucial role in controlling the supply of new bitcoins entering circulation. The primary metric used to determine when the … Continue reading Bitcoin Reward Halving Events and the Investment

Relative Strength Index (RSI) is a commonly used momentum oscillator that measures the speed and change of price movements. It is typically used to identify overbought or oversold conditions in a tradeable asset. Here are the common strategies applied in RSI: Overbought and Oversold Levels: RSI values of 70 or above are generally considered to … Continue reading RSI Strategy in Bitcoin Investment