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The translations of the plane form an abelian normal subgroup of the group, and the corresponding quotient is the circle group. The finite Heisenberg group H 3, p of order p 3 is metabelian. The same is true for any Heisenberg group defined over a ring (group of upper-triangular 3 × 3 matrices with entries in a commutative ring ).
Every subgroup of an abelian group is normal, so each subgroup gives rise to a quotient group. Subgroups, quotients, and direct sums of abelian groups are again abelian. The finite simple abelian groups are exactly the cyclic groups of prime order. [6]: 32 The concepts of abelian group and -module agree.
The glycemic response (or glycaemic response) to a food or meal is the effect that food or meal has on blood sugar (glucose) levels after consumption. [1] It is normal for blood glucose and insulin levels to rise after eating and then return again to fasting levels over a short period of time. This is particularly so after consumption of meals ...
The fluctuation of blood sugar (red) and the sugar-lowering hormone insulin (blue) in humans during the course of a day with three meals. One of the effects of a sugar-rich vs a starch-rich meal is highlighted. [1] The blood sugar level, blood sugar concentration, blood glucose level, or glycemia is the measure of glucose concentrated in the blood.
Apples. The original source of sweetness for many of the early settlers in the United States, the sugar from an apple comes with a healthy dose of fiber.
A normal subgroup of a normal subgroup of a group need not be normal in the group. That is, normality is not a transitive relation. The smallest group exhibiting this phenomenon is the dihedral group of order 8. [15] However, a characteristic subgroup of a normal subgroup is normal. [16] A group in which normality is transitive is called a T ...
A postprandial glucose (PPG) test is a blood glucose test that determines the amount of glucose in the plasma after a meal. [1] The diagnosis is typically restricted to postprandial hyperglycemia due to lack of strong evidence of co-relation with a diagnosis of diabetes. [1]
postprandial glucose test (PC): 2 hours after eating [1] random glucose test; Some laboratory tests don't measure glucose levels directly from body fluids or tissues but still indicate elevated blood sugar levels. Such tests measure the levels of glycated hemoglobin, other glycated proteins, 1,5-anhydroglucitol etc. from blood. [1]
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