Posts by Tags

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Phase separation in biology

less than 1 minute read

Published:

Cellular compartments and organelles organize biological matter. Most well-known organelles are separated by a membrane boundary from their surrrounding milieu. There are also many so-called membraneless organelles and recent studies suggest that these organelles, which are supramolecular assemblies of proteins and RNA molecules, from via protein Read more

-Research

Phase separation in biology

less than 1 minute read

Published:

Cellular compartments and organelles organize biological matter. Most well-known organelles are separated by a membrane boundary from their surrrounding milieu. There are also many so-called membraneless organelles and recent studies suggest that these organelles, which are supramolecular assemblies of proteins and RNA molecules, from via protein Read more

Article

Phase separation in biology

less than 1 minute read

Published:

Cellular compartments and organelles organize biological matter. Most well-known organelles are separated by a membrane boundary from their surrrounding milieu. There are also many so-called membraneless organelles and recent studies suggest that these organelles, which are supramolecular assemblies of proteins and RNA molecules, from via protein Read more

Article writing

Discrete error and convergence

less than 1 minute read

Published:

I was asked a question today about a typical way to present the error between a numerical scheme and an exact solution, and the convergence of the method. I will demonstrate one method that is typically used based on the $L_{2}$-norm of the norm. Read more

Mahabharata

Ideas Born from War: Reflections on the Mahabharata and Ramayana

7 minute read

Published:

War is usually remembered through numbers: the armies assembled, the days of battle, the territory won, and the lives lost. Yet the wars in the Mahabharata and the Ramayana have survived for another reason. They are not only stories of weapons and warriors; they are vast thought experiments. They place human beings under unbearable pressure and ask what remains of duty, love, justice, and wisdom when every choice carries a cost. Read more

Publish

Phase separation in biology

less than 1 minute read

Published:

Cellular compartments and organelles organize biological matter. Most well-known organelles are separated by a membrane boundary from their surrrounding milieu. There are also many so-called membraneless organelles and recent studies suggest that these organelles, which are supramolecular assemblies of proteins and RNA molecules, from via protein Read more

Discrete error and convergence

less than 1 minute read

Published:

I was asked a question today about a typical way to present the error between a numerical scheme and an exact solution, and the convergence of the method. I will demonstrate one method that is typically used based on the $L_{2}$-norm of the norm. Read more

Ramayana

Ideas Born from War: Reflections on the Mahabharata and Ramayana

7 minute read

Published:

War is usually remembered through numbers: the armies assembled, the days of battle, the territory won, and the lives lost. Yet the wars in the Mahabharata and the Ramayana have survived for another reason. They are not only stories of weapons and warriors; they are vast thought experiments. They place human beings under unbearable pressure and ask what remains of duty, love, justice, and wisdom when every choice carries a cost. Read more

Research

Discrete error and convergence

less than 1 minute read

Published:

I was asked a question today about a typical way to present the error between a numerical scheme and an exact solution, and the convergence of the method. I will demonstrate one method that is typically used based on the $L_{2}$-norm of the norm. Read more

least squares

Least Squares Fitting: From Mathematical Foundations to Machine Learning

8 minute read

Published:

Suppose we measure a quantity at several points. The observations do not lie perfectly on a line: experiments contain noise, models are imperfect, and the world is more complicated than our equations. We therefore need a principled way to choose the line—or, more generally, the model—that best represents the data. Read more

linear regression

Least Squares Fitting: From Mathematical Foundations to Machine Learning

8 minute read

Published:

Suppose we measure a quantity at several points. The observations do not lie perfectly on a line: experiments contain noise, models are imperfect, and the world is more complicated than our equations. We therefore need a principled way to choose the line—or, more generally, the model—that best represents the data. Read more

machine learning

Least Squares Fitting: From Mathematical Foundations to Machine Learning

8 minute read

Published:

Suppose we measure a quantity at several points. The observations do not lie perfectly on a line: experiments contain noise, models are imperfect, and the world is more complicated than our equations. We therefore need a principled way to choose the line—or, more generally, the model—that best represents the data. Read more

numerical methods

Least Squares Fitting: From Mathematical Foundations to Machine Learning

8 minute read

Published:

Suppose we measure a quantity at several points. The observations do not lie perfectly on a line: experiments contain noise, models are imperfect, and the world is more complicated than our equations. We therefore need a principled way to choose the line—or, more generally, the model—that best represents the data. Read more

personal improvement

The Art of Action or Work

2 minute read

Published:

In this world outside all living beings constantly working. Everybody’s ambition is to excel, but despite all honest efforts, some achieve, many never achieve. The temptation of average human being is to condemn someone to his failure. Read more

philosophy

Ideas Born from War: Reflections on the Mahabharata and Ramayana

7 minute read

Published:

War is usually remembered through numbers: the armies assembled, the days of battle, the territory won, and the lives lost. Yet the wars in the Mahabharata and the Ramayana have survived for another reason. They are not only stories of weapons and warriors; they are vast thought experiments. They place human beings under unbearable pressure and ask what remains of duty, love, justice, and wisdom when every choice carries a cost. Read more

The Art of Action or Work

2 minute read

Published:

In this world outside all living beings constantly working. Everybody’s ambition is to excel, but despite all honest efforts, some achieve, many never achieve. The temptation of average human being is to condemn someone to his failure. Read more

reflections

Ideas Born from War: Reflections on the Mahabharata and Ramayana

7 minute read

Published:

War is usually remembered through numbers: the armies assembled, the days of battle, the territory won, and the lives lost. Yet the wars in the Mahabharata and the Ramayana have survived for another reason. They are not only stories of weapons and warriors; they are vast thought experiments. They place human beings under unbearable pressure and ask what remains of duty, love, justice, and wisdom when every choice carries a cost. Read more

writing

Phase separation in biology

less than 1 minute read

Published:

Cellular compartments and organelles organize biological matter. Most well-known organelles are separated by a membrane boundary from their surrrounding milieu. There are also many so-called membraneless organelles and recent studies suggest that these organelles, which are supramolecular assemblies of proteins and RNA molecules, from via protein Read more