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The Gram matrix of any orthonormal basis is the identity matrix. Equivalently, the Gram matrix of the rows or the columns of a real rotation matrix is the identity matrix. Likewise, the Gram matrix of the rows or columns of a unitary matrix is the identity matrix. The rank of the Gram matrix of vectors in or equals the dimension of the space ...
The Harris–Benedict equation (also called the Harris-Benedict principle) is a method used to estimate an individual's basal metabolic rate (BMR).. The estimated BMR value may be multiplied by a number that corresponds to the individual's activity level; the resulting number is the approximate daily kilocalorie intake to maintain current body weight.
Losing weight requires a calorie deficit; you need to burn more than you consume. Working with a nutritionist or doctor, you can determine exactly what this means for you.
A moderate energy density would be 1.6 to 3 calories per gram (7–13 kJ/g); salmon, lean meat, and bread would fall in this category. Foods with high energy density have more than three calories per gram (>13 kJ/g) and include crackers, cheese, chocolate, nuts, [10] and fried foods like potato or tortilla chips.
Based on the work of Atwater, it became common practice to calculate energy content of foods using 4 kcal/g for carbohydrates and proteins and 9 kcal/g for lipids. [2] The system was later improved by Annabel Merrill and Bernice Watt of the USDA , who derived a system whereby specific calorie conversion factors for different foods were proposed ...
Outcome: Weight increases; Calories consumed < Calories expended. Also known as Negative Energy Balance; Outcome: Weight decreases [9] The calories a person consumes come from food and drink intake. [9] The calories a person expends comes from their basal metabolic rate and their daily physical activity. [5]
For reference, a normal high-intensity exercise session would typically cause a calorie burn of about 9.2 calories per minute (that's an estimate: these studies are very limited, and more research ...
The Gram matrix of a sequence of points ,, …, in k-dimensional space ℝ k is the n×n matrix = of their dot products (here a point is thought of as a vector from 0 to that point):
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