We give a solution to the inverse problem (given prescribed function, find corresponding group) for large classes of speed, entropy, isoperimetric profile, return probability and $L_p$-compression functions finitely generated groups. For smaller classes, we solutions among solvable groups exponential volume growth. As corollaries, prove recent conjecture Amir on joint evaluation speed entropy e...

Consider two n-point configurations X and Y in R with the same distance distribution and distinct distances. We begin with proposing an algorithm that tries to find a bijection ψ : X → Y such that X and Y are congruent under ψ, or determines that no such bijection exists. Next, we discuss extending this algorithm to the case where X and Y have small multiplicities of recurring distances, then t...

An isometric path between two vertices in a graph G is a shortest path joining them. The isometric-path number of G, denoted by ip(G), is the minimum number of isometric paths required to cover all vertices of G. In this paper, we determine exact values of isometric-path numbers of block graphs. We also give a linear-time algorithm for finding the corresponding paths.

Reproduction and spawning patterns of the Yellowtail scad (Atule mate) were studied in the Persian Gulf and Oman Sea (Hormozgan coastal waters) from December 2016 to November 2017. A total of 447 fish were collected from Bandar Lengeh, Qeshm Island, Bandar Abbas, and Bandar Jask landing sites. Minimum and maximum fork lengths of this species were 10 and 33 cm, with average 20.63±1.73 cm. The to...

Coastal marshes depend on belowground biomass of roots and rhizomes to contribute to peat and soil organic carbon, accrete soil and alleviate flooding as sea level rises. For nutrient-limited plants, eutrophication has either reduced or stimulated belowground biomass depending on plant biomass allocation response to fertilization. Within a freshwater wetland impoundment receiving minimal sedime...

The purpose of the present study was to examine the effects of 2 different work-to-rest ratios, but the same mean load, cycle time, and total duration of the exercise bout, on maximal voluntary isometric contraction torque and neuromuscular responses to fatiguing, intermittent, submaximal, isometric, forearm flexion muscle actions. Ten men performed 2 fatiguing protocols with different work-to-...

The purpose of this study was to investigate whether the isometric muscle force, redeveloped following maximal-effort voluntary shortening contractions in human skeletal muscle, is smaller than the purely isometric muscle force at the corresponding length. Isometric knee extensor moments, surface electromyographic (EMG) signals of quadriceps femoris, and interpolated twitch moments (ITMs) were ...

[Purpose] The purpose of this study was to investigate the effect of isometric hip adduction and abduction on trunk muscle activity during plank exercises. [Subjects and Methods] Nineteen healthy male subjects were recruited for this study. All subjects performed the traditional plank exercise (TP), plank exercise with isometric hip adduction (PHAD), and plank exercise with isometric hip abduct...