Author name: Basem Rajjoub

Practical tips for advanced German-learners after reaching fluency

It’s common knowledge that any skill can only be learned with practice and discipline. This definitely applies to learning languages but unfortunately learning a new language as an adult comes with an obvious hurdle. One would never reach a level similar to native speakers. So even after reaching an advanced level like C1 or C2,

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Manual structural analysis of a continuous beam using the method of singularity functions (Macaulay’s method)

Singularity functions are a mathematical tool used to describe systems where discontinuity occurs. These functions are written using a special notation using singularity brackets: . The general functions is written as where is the point of discontinuity and is the function degree. A detailed explanation of the properties of these functions can be found on

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